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gps_groups • Show schema
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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '32.51', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': None, 'aut_cyclic': None, 'aut_derived_length': None, 'aut_exponent': None, 'aut_gen_orders': None, 'aut_gens': [[3415701612, 1372384777867763196, 256097825603020880, 269008243663771740, 1134021, 494447461227208812, 256097827032728070, 513717260621273528, 249695279017955004, 1099504540658219364, 13160704529065404, 2227251], [776196452329421113, 2091831012752434770, 4836323119, 269008239319142400, 494447461210502713, 45237780972039621, 776196453778350109, 776196452359635934, 750167282679811650, 1827603218452219963, 737383278877670451, 13160703092503774], [288173604925795057, 558932552770641272, 513717263489289690, 1978453934, 26072418278542582, 507231458718732579, 249695277050419200, 26072418255206400, 1959915270, 1076860262189383486, 507231460166529618, 249695279012158395], [45237782413726395, 70932026830578274, 288173603484914979, 507231458728194734, 256097827041804579, 513717264937529562, 533259328411020184, 750167282672559043, 288173604945133534, 691924263117993248, 256097827063965538, 513717263496936018], [494447459789961134, 1759698473423541210, 494447462648555365, 776196449449344000, 776196453796197564, 45237780985141787, 507231460168029381, 507231458719819785, 513717263491147311, 1827603218931989101, 737383282275566967, 776196453795060546], [737383280855351644, 2104760860979487282, 763412540547355218, 494447457822796880, 269008240779402980, 288173603484914979, 494447461219924644, 507231457279948880, 507231460146913950, 1038550199122895648, 513717264937529562, 269008240780132444], [750167279803007078, 294703613783433976, 45237780994241782, 776196452341425711, 45237781006215658, 249695281886742319, 494447462646697603, 13160703115758058, 737383282273709323, 1038550197645772088, 26072418289418926, 737383283710633603]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 6442450944, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': 1572864.0, 'aut_solvable': None, 'aut_stats': [[1, 1, 1, 1], [2, 1, 3, 1], [2, 1, 4, 1], [2, 2, 3, 2], [2, 2, 6, 1], [2, 2, 16, 1], [2, 4, 12, 1], [2, 4, 96, 1], [2, 8, 6, 1], [2, 8, 12, 1], [2, 8, 16, 1], [2, 8, 48, 1], [2, 16, 2, 1], [2, 16, 24, 1], [2, 32, 1, 1], [2, 64, 1, 1], [4, 8, 48, 1], [4, 16, 6, 1], [4, 16, 24, 1], [4, 16, 48, 1], [4, 32, 3, 1], [4, 32, 12, 2], [4, 64, 3, 1], [4, 64, 4, 1], [4, 128, 12, 1], [4, 256, 2, 1], [8, 256, 6, 1]], 'aut_supersolvable': None, 'aut_tex': None, 'autcent_abelian': None, 'autcent_cyclic': None, 'autcent_exponent': None, 'autcent_group': None, 'autcent_hash': None, 'autcent_nilpotent': None, 'autcent_order': None, 'autcent_solvable': None, 'autcent_split': None, 'autcent_supersolvable': None, 'autcent_tex': None, 'autcentquo_abelian': None, 'autcentquo_cyclic': None, 'autcentquo_exponent': None, 'autcentquo_group': None, 'autcentquo_hash': None, 'autcentquo_nilpotent': None, 'autcentquo_order': None, 'autcentquo_solvable': None, 'autcentquo_supersolvable': None, 'autcentquo_tex': None, 'cc_stats': [[1, 1, 1], [2, 1, 7], [2, 2, 28], [2, 4, 108], [2, 8, 82], [2, 16, 26], [2, 32, 1], [2, 64, 1], [4, 8, 48], [4, 16, 78], [4, 32, 27], [4, 64, 7], [4, 128, 12], [4, 256, 2], [8, 256, 6]], 'center_label': '8.5', 'center_order': 8, 'central_product': None, 'central_quotient': '1024.dia', 'commutator_count': 1, 'commutator_label': '256.55643', 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1'], 'composition_length': 13, 'conjugacy_classes_known': True, 'counter': 597, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': None, 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [2, 2, 1, 28], [2, 4, 1, 108], [2, 8, 1, 82], [2, 16, 1, 26], [2, 32, 1, 1], [2, 64, 1, 1], [4, 8, 1, 48], [4, 16, 1, 78], [4, 32, 1, 27], [4, 64, 1, 7], [4, 128, 1, 12], [4, 256, 1, 2], [8, 256, 1, 6]], 'element_repr_type': 'Perm', 'elementary': 2, 'eulerian_function': None, 'exponent': 8, 'exponents_of_order': [13], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2], 'faithful_reps': [], 'familial': False, 'frattini_label': '256.55643', 'frattini_quotient': '32.51', 'hash': 583603832557243529, 'hyperelementary': 2, 'inner_abelian': None, 'inner_cyclic': None, 'inner_exponent': None, 'inner_gen_orders': [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2], 'inner_gens': [[3415701612, 2104760860978762236, 256097825603020880, 269008243663771740, 1134021, 494447461227208812, 256097827032728070, 513717260621273528, 249695279017955004, 1827603220889318550, 13160704529065404, 2227251], [494447457833715128, 1372384777867763196, 13160704529065404, 763412539119896678, 1134021, 494447461227208812, 256097827032728070, 26072421151989612, 249695279017955004, 647232745756754432, 256097825603020880, 2227251], [3415701612, 886867527468659076, 256097825603020880, 269008243663771740, 1134021, 494447461227208812, 256097827032728070, 513717260621273528, 249695279017955004, 2231996450286268230, 13160704529065404, 2227251], [3415701612, 2104760860978762236, 256097825603020880, 269008243663771740, 1134021, 494447461227208812, 256097827032728070, 513717260621273528, 249695279017955004, 1465504277843187564, 13160704529065404, 2227251], [3415701612, 1372384777867763196, 256097825603020880, 269008243663771740, 1134021, 494447461227208812, 256097827032728070, 513717260621273528, 249695279017955004, 1099504540660038090, 13160704529065404, 2227251], [3415701612, 1372384777867763196, 256097825603020880, 269008243663771740, 1134021, 494447461227208812, 256097827032728070, 513717260621273528, 249695279017955004, 2219149944505612950, 13160704529065404, 2227251], [3415701612, 1372384777867763196, 256097825603020880, 269008243663771740, 1134021, 494447461227208812, 256097827032728070, 513717260621273528, 249695279017955004, 1865996713148574324, 13160704529065404, 2227251], [3415701612, 2104760860978762236, 256097825603020880, 269008243663771740, 1134021, 494447461227208812, 256097827032728070, 513717260621273528, 249695279017955004, 2231996448377493444, 13160704529065404, 2227251], [3415701612, 1372384777867763196, 256097825603020880, 269008243663771740, 1134021, 494447461227208812, 256097827032728070, 513717260621273528, 249695279017955004, 2206449459931795230, 13160704529065404, 2227251], [13160704521444870, 294703613781617294, 494447461227208812, 288173606372218356, 2227251, 13160704529065404, 513717260621273528, 249695279017955004, 26072421151989612, 1099504540658219364, 513717263477320350, 1134021], [3415701612, 886867527468659076, 256097825603020880, 269008243663771740, 1134021, 494447461227208812, 256097827032728070, 513717260621273528, 249695279017955004, 1491051264288750750, 13160704529065404, 2227251], [3415701612, 1372384777867763196, 256097825603020880, 269008243663771740, 1134021, 494447461227208812, 256097827032728070, 513717260621273528, 249695279017955004, 1099504540660038090, 13160704529065404, 2227251]], 'inner_hash': None, 'inner_nilpotent': None, 'inner_order': 1024, 'inner_split': None, 'inner_tex': 'C_2^7:D_4', 'inner_used': None, 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': None, 'irrep_stats': [[1, 32], [2, 120], [4, 216], [8, 66]], 'label': '8192.wy', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C2^10.D4', 'ngens': 12, 'nilpotency_class': 4, 'nilpotent': True, 'normal_counts': [1, 7, 35, 55, 119, 135, 239, 447, 771, 451, 275, 155, 31, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 29, 'number_characteristic_subgroups': 27, 'number_conjugacy_classes': 434, 'number_divisions': 434, 'number_normal_subgroups': 2722, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 8192, 'order_factorization_type': 7, 'order_stats': [[1, 1], [2, 1663], [4, 4992], [8, 1536]], 'outer_abelian': None, 'outer_cyclic': None, 'outer_equivalence': False, 'outer_exponent': None, 'outer_gen_orders': None, 'outer_gen_pows': None, 'outer_gens': None, 'outer_group': None, 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 6291456, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': None, 'pc_rank': None, 'perfect': False, 'permutation_degree': None, 'pgroup': 2, 'primary_abelian_invariants': [2, 2, 2, 2, 2], 'quasisimple': False, 'rank': 5, 'rational': True, 'rational_characters_known': False, 'ratrep_stats': [[1, 32], [2, 120], [4, 216], [8, 66]], 'representations': {'PC': {'code': '29727309218498437082027581886779596488827248641415259081989795200570909623097363789108595848626321662267209454257825968463238486223287752683534', 'gens': [1, 2, 4, 6, 7, 8, 9, 10, 11, 12, 13], 'pres': [13, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 66301, 66, 84398, 10012, 1251, 62624, 13653, 146, 51497, 165989, 127938, 71791, 35924, 189299, 236295, 143124, 17505, 8782, 31832, 107661, 53386, 26723, 347369, 248582, 101955, 51008, 17483, 455544, 62437, 31250]}, 'Perm': {'d': 20, 'gens': [3415701612, 1372384777867763196, 256097825603020880, 269008243663771740, 1134021, 494447461227208812, 256097827032728070, 513717260621273528, 249695279017955004, 1099504540658219364, 13160704529065404, 2227251]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 2, 2], 'solvability_type': 5, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 4, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_2^{10}.D_4', 'transitive_degree': None, 'wreath_data': None, 'wreath_product': None}
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gps_conj_classes • Show schema
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id: 168487370
{'aut_label': '1A', 'centralizer': None, 'counter': 1, 'group_counter': 597, 'group_order': 8192, 'label': '1A', 'order': 1, 'powers': [1], 'representative': 0, 'size': 1}
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id: 168487481
{'aut_label': '2A', 'centralizer': None, 'counter': 2, 'group_counter': 597, 'group_order': 8192, 'label': '2A', 'order': 2, 'powers': [1], 'representative': 269008240778677934, 'size': 1}
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id: 168487592
{'aut_label': '2A', 'centralizer': None, 'counter': 3, 'group_counter': 597, 'group_order': 8192, 'label': '2B', 'order': 2, 'powers': [1], 'representative': 507231460158158244, 'size': 1}
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id: 168487703
{'aut_label': '2A', 'centralizer': None, 'counter': 4, 'group_counter': 597, 'group_order': 8192, 'label': '2C', 'order': 2, 'powers': [1], 'representative': 776196453793973340, 'size': 1}
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id: 168487749
{'aut_label': '2D', 'centralizer': None, 'counter': 5, 'group_counter': 597, 'group_order': 8192, 'label': '2D', 'order': 2, 'powers': [1], 'representative': 3314457, 'size': 1}
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id: 168487760
{'aut_label': '2D', 'centralizer': None, 'counter': 6, 'group_counter': 597, 'group_order': 8192, 'label': '2E', 'order': 2, 'powers': [1], 'representative': 269008240781225417, 'size': 1}
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id: 168487771
{'aut_label': '2D', 'centralizer': None, 'counter': 7, 'group_counter': 597, 'group_order': 8192, 'label': '2F', 'order': 2, 'powers': [1], 'representative': 507231460160740911, 'size': 1}
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id: 168487782
{'aut_label': '2D', 'centralizer': None, 'counter': 8, 'group_counter': 597, 'group_order': 8192, 'label': '2G', 'order': 2, 'powers': [1], 'representative': 776196453796560450, 'size': 1}
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id: 168487793
{'aut_label': '2H', 'centralizer': None, 'counter': 9, 'group_counter': 597, 'group_order': 8192, 'label': '2H', 'order': 2, 'powers': [1], 'representative': 1134021, 'size': 2}
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id: 168487371
{'aut_label': '2H', 'centralizer': None, 'counter': 10, 'group_counter': 597, 'group_order': 8192, 'label': '2I', 'order': 2, 'powers': [1], 'representative': 13160703092503774, 'size': 2}
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id: 168487382
{'aut_label': '2H', 'centralizer': None, 'counter': 11, 'group_counter': 597, 'group_order': 8192, 'label': '2J', 'order': 2, 'powers': [1], 'representative': 13160703093596981, 'size': 2}
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id: 168487393
{'aut_label': '2K', 'centralizer': None, 'counter': 12, 'group_counter': 597, 'group_order': 8192, 'label': '2K', 'order': 2, 'powers': [1], 'representative': 13160703094684187, 'size': 2}
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id: 168487404
{'aut_label': '2H', 'centralizer': None, 'counter': 13, 'group_counter': 597, 'group_order': 8192, 'label': '2L', 'order': 2, 'powers': [1], 'representative': 26072418278542582, 'size': 2}
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id: 168487415
{'aut_label': '2H', 'centralizer': None, 'counter': 14, 'group_counter': 597, 'group_order': 8192, 'label': '2M', 'order': 2, 'powers': [1], 'representative': 26072418279272164, 'size': 2}
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id: 168487426
{'aut_label': '2K', 'centralizer': None, 'counter': 15, 'group_counter': 597, 'group_order': 8192, 'label': '2N', 'order': 2, 'powers': [1], 'representative': 26072418280365137, 'size': 2}
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id: 168487437
{'aut_label': '2H', 'centralizer': None, 'counter': 16, 'group_counter': 597, 'group_order': 8192, 'label': '2O', 'order': 2, 'powers': [1], 'representative': 45237781005118126, 'size': 2}
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id: 168487448
{'aut_label': '2H', 'centralizer': None, 'counter': 17, 'group_counter': 597, 'group_order': 8192, 'label': '2P', 'order': 2, 'powers': [1], 'representative': 45237781006215658, 'size': 2}
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id: 168487459
{'aut_label': '2K', 'centralizer': None, 'counter': 18, 'group_counter': 597, 'group_order': 8192, 'label': '2Q', 'order': 2, 'powers': [1], 'representative': 45237781006940704, 'size': 2}
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id: 168487470
{'aut_label': '2H', 'centralizer': None, 'counter': 19, 'group_counter': 597, 'group_order': 8192, 'label': '2R', 'order': 2, 'powers': [1], 'representative': 256097827040711490, 'size': 2}
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id: 168487482
{'aut_label': '2H', 'centralizer': None, 'counter': 20, 'group_counter': 597, 'group_order': 8192, 'label': '2S', 'order': 2, 'powers': [1], 'representative': 256097827041804579, 'size': 2}
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id: 168487493
{'aut_label': '2K', 'centralizer': None, 'counter': 21, 'group_counter': 597, 'group_order': 8192, 'label': '2T', 'order': 2, 'powers': [1], 'representative': 256097827042891785, 'size': 2}
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id: 168487504
{'aut_label': '2H', 'centralizer': None, 'counter': 22, 'group_counter': 597, 'group_order': 8192, 'label': '2U', 'order': 2, 'powers': [1], 'representative': 269008240779402980, 'size': 2}
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id: 168487515
{'aut_label': '2H', 'centralizer': None, 'counter': 23, 'group_counter': 597, 'group_order': 8192, 'label': '2V', 'order': 2, 'powers': [1], 'representative': 288173603505978524, 'size': 2}
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id: 168487526
{'aut_label': '2H', 'centralizer': None, 'counter': 24, 'group_counter': 597, 'group_order': 8192, 'label': '2W', 'order': 2, 'powers': [1], 'representative': 288173603507075938, 'size': 2}
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id: 168487537
{'aut_label': '2K', 'centralizer': None, 'counter': 25, 'group_counter': 597, 'group_order': 8192, 'label': '2X', 'order': 2, 'powers': [1], 'representative': 288173603507800984, 'size': 2}
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id: 168487548
{'aut_label': '2H', 'centralizer': None, 'counter': 26, 'group_counter': 597, 'group_order': 8192, 'label': '2Y', 'order': 2, 'powers': [1], 'representative': 507231460158883290, 'size': 2}
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id: 168487559
{'aut_label': '2H', 'centralizer': None, 'counter': 27, 'group_counter': 597, 'group_order': 8192, 'label': '2Z', 'order': 2, 'powers': [1], 'representative': 533259329846852948, 'size': 2}
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id: 168487570
{'aut_label': '2H', 'centralizer': None, 'counter': 28, 'group_counter': 597, 'group_order': 8192, 'label': '2AA', 'order': 2, 'powers': [1], 'representative': 533259329847586640, 'size': 2}
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id: 168487581
{'aut_label': '2K', 'centralizer': None, 'counter': 29, 'group_counter': 597, 'group_order': 8192, 'label': '2AB', 'order': 2, 'powers': [1], 'representative': 533259329848352734, 'size': 2}
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id: 168487593
{'aut_label': '2H', 'centralizer': None, 'counter': 30, 'group_counter': 597, 'group_order': 8192, 'label': '2AC', 'order': 2, 'powers': [1], 'representative': 776196453795060546, 'size': 2}
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id: 168487604
{'aut_label': '2AD', 'centralizer': None, 'counter': 31, 'group_counter': 597, 'group_order': 8192, 'label': '2AD', 'order': 2, 'powers': [1], 'representative': 13160703091737680, 'size': 2}
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id: 168487615
{'aut_label': '2AD', 'centralizer': None, 'counter': 32, 'group_counter': 597, 'group_order': 8192, 'label': '2AE', 'order': 2, 'powers': [1], 'representative': 26072418277414328, 'size': 2}
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id: 168487626
{'aut_label': '2AD', 'centralizer': None, 'counter': 33, 'group_counter': 597, 'group_order': 8192, 'label': '2AF', 'order': 2, 'powers': [1], 'representative': 45237781003989872, 'size': 2}
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id: 168487637
{'aut_label': '2AG', 'centralizer': None, 'counter': 34, 'group_counter': 597, 'group_order': 8192, 'label': '2AG', 'order': 2, 'powers': [1], 'representative': 256097827040348604, 'size': 2}
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id: 168487648
{'aut_label': '2AG', 'centralizer': None, 'counter': 35, 'group_counter': 597, 'group_order': 8192, 'label': '2AH', 'order': 2, 'powers': [1], 'representative': 288173603505253478, 'size': 2}
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id: 168487659
{'aut_label': '2AG', 'centralizer': None, 'counter': 36, 'group_counter': 597, 'group_order': 8192, 'label': '2AI', 'order': 2, 'powers': [1], 'representative': 533259329845765742, 'size': 2}
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id: 168487670
{'aut_label': '2AJ', 'centralizer': None, 'counter': 37, 'group_counter': 597, 'group_order': 8192, 'label': '2AJ', 'order': 2, 'powers': [1], 'representative': 11289680, 'size': 4}
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id: 168487681
{'aut_label': '2AJ', 'centralizer': None, 'counter': 38, 'group_counter': 597, 'group_order': 8192, 'label': '2AK', 'order': 2, 'powers': [1], 'representative': 12055774, 'size': 4}
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id: 168487692
{'aut_label': '2AJ', 'centralizer': None, 'counter': 39, 'group_counter': 597, 'group_order': 8192, 'label': '2AL', 'order': 2, 'powers': [1], 'representative': 13148981, 'size': 4}
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id: 168487704
{'aut_label': '2AJ', 'centralizer': None, 'counter': 40, 'group_counter': 597, 'group_order': 8192, 'label': '2AM', 'order': 2, 'powers': [1], 'representative': 14236187, 'size': 4}
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id: 168487715
{'aut_label': '2AJ', 'centralizer': None, 'counter': 41, 'group_counter': 597, 'group_order': 8192, 'label': '2AN', 'order': 2, 'powers': [1], 'representative': 22207928, 'size': 4}
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id: 168487726
{'aut_label': '2AJ', 'centralizer': None, 'counter': 42, 'group_counter': 597, 'group_order': 8192, 'label': '2AO', 'order': 2, 'powers': [1], 'representative': 23336182, 'size': 4}
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id: 168487737
{'aut_label': '2AJ', 'centralizer': None, 'counter': 43, 'group_counter': 597, 'group_order': 8192, 'label': '2AP', 'order': 2, 'powers': [1], 'representative': 24065764, 'size': 4}
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id: 168487743
{'aut_label': '2AJ', 'centralizer': None, 'counter': 44, 'group_counter': 597, 'group_order': 8192, 'label': '2AQ', 'order': 2, 'powers': [1], 'representative': 25158737, 'size': 4}
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id: 168487744
{'aut_label': '2AJ', 'centralizer': None, 'counter': 45, 'group_counter': 597, 'group_order': 8192, 'label': '2AR', 'order': 2, 'powers': [1], 'representative': 33084272, 'size': 4}
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id: 168487745
{'aut_label': '2AJ', 'centralizer': None, 'counter': 46, 'group_counter': 597, 'group_order': 8192, 'label': '2AS', 'order': 2, 'powers': [1], 'representative': 34212526, 'size': 4}
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id: 168487746
{'aut_label': '2AJ', 'centralizer': None, 'counter': 47, 'group_counter': 597, 'group_order': 8192, 'label': '2AT', 'order': 2, 'powers': [1], 'representative': 35310058, 'size': 4}
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id: 168487747
{'aut_label': '2AJ', 'centralizer': None, 'counter': 48, 'group_counter': 597, 'group_order': 8192, 'label': '2AU', 'order': 2, 'powers': [1], 'representative': 36035104, 'size': 4}
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id: 168487748
{'aut_label': '2AJ', 'centralizer': None, 'counter': 49, 'group_counter': 597, 'group_order': 8192, 'label': '2AV', 'order': 2, 'powers': [1], 'representative': 13160703102655928, 'size': 4}
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id: 168487750
{'aut_label': '2AJ', 'centralizer': None, 'counter': 50, 'group_counter': 597, 'group_order': 8192, 'label': '2AW', 'order': 2, 'powers': [1], 'representative': 13160703103784182, 'size': 4}
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id: 168487751
{'aut_label': '2AJ', 'centralizer': None, 'counter': 51, 'group_counter': 597, 'group_order': 8192, 'label': '2AX', 'order': 2, 'powers': [1], 'representative': 13160703104513764, 'size': 4}
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id: 168487752
{'aut_label': '2AJ', 'centralizer': None, 'counter': 52, 'group_counter': 597, 'group_order': 8192, 'label': '2AY', 'order': 2, 'powers': [1], 'representative': 13160703105606737, 'size': 4}
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id: 168487753
{'aut_label': '2AJ', 'centralizer': None, 'counter': 53, 'group_counter': 597, 'group_order': 8192, 'label': '2AZ', 'order': 2, 'powers': [1], 'representative': 13160703113532272, 'size': 4}
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id: 168487754
{'aut_label': '2AJ', 'centralizer': None, 'counter': 54, 'group_counter': 597, 'group_order': 8192, 'label': '2BA', 'order': 2, 'powers': [1], 'representative': 13160703114660526, 'size': 4}
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id: 168487755
{'aut_label': '2AJ', 'centralizer': None, 'counter': 55, 'group_counter': 597, 'group_order': 8192, 'label': '2BB', 'order': 2, 'powers': [1], 'representative': 13160703115758058, 'size': 4}
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id: 168487756
{'aut_label': '2AJ', 'centralizer': None, 'counter': 56, 'group_counter': 597, 'group_order': 8192, 'label': '2BC', 'order': 2, 'powers': [1], 'representative': 13160703116483104, 'size': 4}
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id: 168487757
{'aut_label': '2AJ', 'centralizer': None, 'counter': 57, 'group_counter': 597, 'group_order': 8192, 'label': '2BD', 'order': 2, 'powers': [1], 'representative': 13160704529065404, 'size': 4}
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id: 168487758
{'aut_label': '2AJ', 'centralizer': None, 'counter': 58, 'group_counter': 597, 'group_order': 8192, 'label': '2BE', 'order': 2, 'powers': [1], 'representative': 13160704529428290, 'size': 4}
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id: 168487759
{'aut_label': '2AJ', 'centralizer': None, 'counter': 59, 'group_counter': 597, 'group_order': 8192, 'label': '2BF', 'order': 2, 'powers': [1], 'representative': 13160704530521379, 'size': 4}
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id: 168487761
{'aut_label': '2AJ', 'centralizer': None, 'counter': 60, 'group_counter': 597, 'group_order': 8192, 'label': '2BG', 'order': 2, 'powers': [1], 'representative': 13160704531608585, 'size': 4}
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id: 168487762
{'aut_label': '2AJ', 'centralizer': None, 'counter': 61, 'group_counter': 597, 'group_order': 8192, 'label': '2BH', 'order': 2, 'powers': [1], 'representative': 13160705969947044, 'size': 4}
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id: 168487763
{'aut_label': '2AJ', 'centralizer': None, 'counter': 62, 'group_counter': 597, 'group_order': 8192, 'label': '2BI', 'order': 2, 'powers': [1], 'representative': 13160705970672090, 'size': 4}
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id: 168487764
{'aut_label': '2AJ', 'centralizer': None, 'counter': 63, 'group_counter': 597, 'group_order': 8192, 'label': '2BJ', 'order': 2, 'powers': [1], 'representative': 13160705971401457, 'size': 4}
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id: 168487765
{'aut_label': '2AJ', 'centralizer': None, 'counter': 64, 'group_counter': 597, 'group_order': 8192, 'label': '2BK', 'order': 2, 'powers': [1], 'representative': 13160705972529711, 'size': 4}
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id: 168487766
{'aut_label': '2AJ', 'centralizer': None, 'counter': 65, 'group_counter': 597, 'group_order': 8192, 'label': '2BL', 'order': 2, 'powers': [1], 'representative': 13160707406871324, 'size': 4}
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id: 168487767
{'aut_label': '2AJ', 'centralizer': None, 'counter': 66, 'group_counter': 597, 'group_order': 8192, 'label': '2BM', 'order': 2, 'powers': [1], 'representative': 13160707407596370, 'size': 4}
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id: 168487768
{'aut_label': '2AJ', 'centralizer': None, 'counter': 67, 'group_counter': 597, 'group_order': 8192, 'label': '2BN', 'order': 2, 'powers': [1], 'representative': 13160707408729063, 'size': 4}
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id: 168487769
{'aut_label': '2AJ', 'centralizer': None, 'counter': 68, 'group_counter': 597, 'group_order': 8192, 'label': '2BO', 'order': 2, 'powers': [1], 'representative': 13160707409454109, 'size': 4}
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id: 168487770
{'aut_label': '2AJ', 'centralizer': None, 'counter': 69, 'group_counter': 597, 'group_order': 8192, 'label': '2BP', 'order': 2, 'powers': [1], 'representative': 26072418288290672, 'size': 4}
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id: 168487772
{'aut_label': '2AJ', 'centralizer': None, 'counter': 70, 'group_counter': 597, 'group_order': 8192, 'label': '2BQ', 'order': 2, 'powers': [1], 'representative': 26072418289418926, 'size': 4}
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id: 168487773
{'aut_label': '2AJ', 'centralizer': None, 'counter': 71, 'group_counter': 597, 'group_order': 8192, 'label': '2BR', 'order': 2, 'powers': [1], 'representative': 26072418290516458, 'size': 4}
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id: 168487774
{'aut_label': '2AJ', 'centralizer': None, 'counter': 72, 'group_counter': 597, 'group_order': 8192, 'label': '2BS', 'order': 2, 'powers': [1], 'representative': 26072418291241504, 'size': 4}
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id: 168487775
{'aut_label': '2AJ', 'centralizer': None, 'counter': 73, 'group_counter': 597, 'group_order': 8192, 'label': '2BT', 'order': 2, 'powers': [1], 'representative': 26072419714741934, 'size': 4}
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id: 168487776
{'aut_label': '2AJ', 'centralizer': None, 'counter': 74, 'group_counter': 597, 'group_order': 8192, 'label': '2BU', 'order': 2, 'powers': [1], 'representative': 26072419715466980, 'size': 4}
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id: 168487777
{'aut_label': '2AJ', 'centralizer': None, 'counter': 75, 'group_counter': 597, 'group_order': 8192, 'label': '2BV', 'order': 2, 'powers': [1], 'representative': 26072419716196444, 'size': 4}
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id: 168487778
{'aut_label': '2AJ', 'centralizer': None, 'counter': 76, 'group_counter': 597, 'group_order': 8192, 'label': '2BW', 'order': 2, 'powers': [1], 'representative': 26072419717289417, 'size': 4}
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id: 168487779
{'aut_label': '2AJ', 'centralizer': None, 'counter': 77, 'group_counter': 597, 'group_order': 8192, 'label': '2BX', 'order': 2, 'powers': [1], 'representative': 26072421151989612, 'size': 4}
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id: 168487780
{'aut_label': '2AJ', 'centralizer': None, 'counter': 78, 'group_counter': 597, 'group_order': 8192, 'label': '2BY', 'order': 2, 'powers': [1], 'representative': 26072421153076818, 'size': 4}
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id: 168487781
{'aut_label': '2AJ', 'centralizer': None, 'counter': 79, 'group_counter': 597, 'group_order': 8192, 'label': '2BZ', 'order': 2, 'powers': [1], 'representative': 26072421153442560, 'size': 4}
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id: 168487783
{'aut_label': '2AJ', 'centralizer': None, 'counter': 80, 'group_counter': 597, 'group_order': 8192, 'label': '2CA', 'order': 2, 'powers': [1], 'representative': 26072421154576581, 'size': 4}
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id: 168487784
{'aut_label': '2AJ', 'centralizer': None, 'counter': 81, 'group_counter': 597, 'group_order': 8192, 'label': '2CB', 'order': 2, 'powers': [1], 'representative': 26072422592583156, 'size': 4}
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id: 168487785
{'aut_label': '2AJ', 'centralizer': None, 'counter': 82, 'group_counter': 597, 'group_order': 8192, 'label': '2CC', 'order': 2, 'powers': [1], 'representative': 26072422593670362, 'size': 4}
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id: 168487786
{'aut_label': '2AJ', 'centralizer': None, 'counter': 83, 'group_counter': 597, 'group_order': 8192, 'label': '2CD', 'order': 2, 'powers': [1], 'representative': 26072422594439430, 'size': 4}
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id: 168487787
{'aut_label': '2AJ', 'centralizer': None, 'counter': 84, 'group_counter': 597, 'group_order': 8192, 'label': '2CE', 'order': 2, 'powers': [1], 'representative': 26072422595170243, 'size': 4}
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id: 168487788
{'aut_label': '2AJ', 'centralizer': None, 'counter': 85, 'group_counter': 597, 'group_order': 8192, 'label': '2CF', 'order': 2, 'powers': [1], 'representative': 45237782441317478, 'size': 4}
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id: 168487789
{'aut_label': '2AJ', 'centralizer': None, 'counter': 86, 'group_counter': 597, 'group_order': 8192, 'label': '2CG', 'order': 2, 'powers': [1], 'representative': 45237782442042524, 'size': 4}
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id: 168487790
{'aut_label': '2AJ', 'centralizer': None, 'counter': 87, 'group_counter': 597, 'group_order': 8192, 'label': '2CH', 'order': 2, 'powers': [1], 'representative': 45237782443139938, 'size': 4}
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id: 168487791
{'aut_label': '2AJ', 'centralizer': None, 'counter': 88, 'group_counter': 597, 'group_order': 8192, 'label': '2CI', 'order': 2, 'powers': [1], 'representative': 45237782443864984, 'size': 4}
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id: 168487792
{'aut_label': '2AJ', 'centralizer': None, 'counter': 89, 'group_counter': 597, 'group_order': 8192, 'label': '2CJ', 'order': 2, 'powers': [1], 'representative': 45237783878610542, 'size': 4}
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id: 168487794
{'aut_label': '2AJ', 'centralizer': None, 'counter': 90, 'group_counter': 597, 'group_order': 8192, 'label': '2CK', 'order': 2, 'powers': [1], 'representative': 45237783879697748, 'size': 4}
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id: 168487795
{'aut_label': '2AJ', 'centralizer': None, 'counter': 91, 'group_counter': 597, 'group_order': 8192, 'label': '2CL', 'order': 2, 'powers': [1], 'representative': 45237783880431440, 'size': 4}
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id: 168487796
{'aut_label': '2AJ', 'centralizer': None, 'counter': 92, 'group_counter': 597, 'group_order': 8192, 'label': '2CM', 'order': 2, 'powers': [1], 'representative': 45237783881197534, 'size': 4}
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id: 168487797
{'aut_label': '2AJ', 'centralizer': None, 'counter': 93, 'group_counter': 597, 'group_order': 8192, 'label': '2CN', 'order': 2, 'powers': [1], 'representative': 45237785315534940, 'size': 4}
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id: 168487798
{'aut_label': '2AJ', 'centralizer': None, 'counter': 94, 'group_counter': 597, 'group_order': 8192, 'label': '2CO', 'order': 2, 'powers': [1], 'representative': 45237785316622146, 'size': 4}
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id: 168487799
{'aut_label': '2AJ', 'centralizer': None, 'counter': 95, 'group_counter': 597, 'group_order': 8192, 'label': '2CP', 'order': 2, 'powers': [1], 'representative': 45237785317759164, 'size': 4}
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id: 168487800
{'aut_label': '2AJ', 'centralizer': None, 'counter': 96, 'group_counter': 597, 'group_order': 8192, 'label': '2CQ', 'order': 2, 'powers': [1], 'representative': 45237785318122050, 'size': 4}
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id: 168487801
{'aut_label': '2AJ', 'centralizer': None, 'counter': 97, 'group_counter': 597, 'group_order': 8192, 'label': '2CR', 'order': 2, 'powers': [1], 'representative': 256097827051266734, 'size': 4}
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id: 168487802
{'aut_label': '2AJ', 'centralizer': None, 'counter': 98, 'group_counter': 597, 'group_order': 8192, 'label': '2CS', 'order': 2, 'powers': [1], 'representative': 256097827051991780, 'size': 4}
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id: 168487803
{'aut_label': '2AJ', 'centralizer': None, 'counter': 99, 'group_counter': 597, 'group_order': 8192, 'label': '2CT', 'order': 2, 'powers': [1], 'representative': 256097827052721244, 'size': 4}
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id: 168487372
{'aut_label': '2AJ', 'centralizer': None, 'counter': 100, 'group_counter': 597, 'group_order': 8192, 'label': '2CU', 'order': 2, 'powers': [1], 'representative': 256097827053814217, 'size': 4}
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id: 168487373
{'aut_label': '2AJ', 'centralizer': None, 'counter': 101, 'group_counter': 597, 'group_order': 8192, 'label': '2CV', 'order': 2, 'powers': [1], 'representative': 256097827062143078, 'size': 4}
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id: 168487374
{'aut_label': '2AJ', 'centralizer': None, 'counter': 102, 'group_counter': 597, 'group_order': 8192, 'label': '2CW', 'order': 2, 'powers': [1], 'representative': 256097827062868124, 'size': 4}
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id: 168487375
{'aut_label': '2AJ', 'centralizer': None, 'counter': 103, 'group_counter': 597, 'group_order': 8192, 'label': '2CX', 'order': 2, 'powers': [1], 'representative': 256097827063965538, 'size': 4}
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id: 168487376
{'aut_label': '2AJ', 'centralizer': None, 'counter': 104, 'group_counter': 597, 'group_order': 8192, 'label': '2CY', 'order': 2, 'powers': [1], 'representative': 256097827064690584, 'size': 4}
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id: 168487377
{'aut_label': '2AJ', 'centralizer': None, 'counter': 105, 'group_counter': 597, 'group_order': 8192, 'label': '2CZ', 'order': 2, 'powers': [1], 'representative': 256097828481230244, 'size': 4}
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id: 168487378
{'aut_label': '2AJ', 'centralizer': None, 'counter': 106, 'group_counter': 597, 'group_order': 8192, 'label': '2DA', 'order': 2, 'powers': [1], 'representative': 256097828481955290, 'size': 4}
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id: 168487379
{'aut_label': '2AJ', 'centralizer': None, 'counter': 107, 'group_counter': 597, 'group_order': 8192, 'label': '2DB', 'order': 2, 'powers': [1], 'representative': 256097828482684657, 'size': 4}
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id: 168487380
{'aut_label': '2AJ', 'centralizer': None, 'counter': 108, 'group_counter': 597, 'group_order': 8192, 'label': '2DC', 'order': 2, 'powers': [1], 'representative': 256097828483812911, 'size': 4}
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id: 168487381
{'aut_label': '2AJ', 'centralizer': None, 'counter': 109, 'group_counter': 597, 'group_order': 8192, 'label': '2DD', 'order': 2, 'powers': [1], 'representative': 256097829918154524, 'size': 4}
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id: 168487383
{'aut_label': '2AJ', 'centralizer': None, 'counter': 110, 'group_counter': 597, 'group_order': 8192, 'label': '2DE', 'order': 2, 'powers': [1], 'representative': 256097829918879570, 'size': 4}
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id: 168487384
{'aut_label': '2AJ', 'centralizer': None, 'counter': 111, 'group_counter': 597, 'group_order': 8192, 'label': '2DF', 'order': 2, 'powers': [1], 'representative': 256097829920012263, 'size': 4}
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id: 168487385
{'aut_label': '2AJ', 'centralizer': None, 'counter': 112, 'group_counter': 597, 'group_order': 8192, 'label': '2DG', 'order': 2, 'powers': [1], 'representative': 256097829920737309, 'size': 4}
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id: 168487386
{'aut_label': '2AJ', 'centralizer': None, 'counter': 113, 'group_counter': 597, 'group_order': 8192, 'label': '2DH', 'order': 2, 'powers': [1], 'representative': 269008240789554278, 'size': 4}
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id: 168487387
{'aut_label': '2AJ', 'centralizer': None, 'counter': 114, 'group_counter': 597, 'group_order': 8192, 'label': '2DI', 'order': 2, 'powers': [1], 'representative': 269008240790279324, 'size': 4}
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id: 168487388
{'aut_label': '2AJ', 'centralizer': None, 'counter': 115, 'group_counter': 597, 'group_order': 8192, 'label': '2DJ', 'order': 2, 'powers': [1], 'representative': 269008240791376738, 'size': 4}
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id: 168487389
{'aut_label': '2AJ', 'centralizer': None, 'counter': 116, 'group_counter': 597, 'group_order': 8192, 'label': '2DK', 'order': 2, 'powers': [1], 'representative': 269008240792101784, 'size': 4}
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id: 168487390
{'aut_label': '2AJ', 'centralizer': None, 'counter': 117, 'group_counter': 597, 'group_order': 8192, 'label': '2DL', 'order': 2, 'powers': [1], 'representative': 288173604942546542, 'size': 4}
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id: 168487391
{'aut_label': '2AJ', 'centralizer': None, 'counter': 118, 'group_counter': 597, 'group_order': 8192, 'label': '2DM', 'order': 2, 'powers': [1], 'representative': 288173604943633748, 'size': 4}
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id: 168487392
{'aut_label': '2AJ', 'centralizer': None, 'counter': 119, 'group_counter': 597, 'group_order': 8192, 'label': '2DN', 'order': 2, 'powers': [1], 'representative': 288173604944367440, 'size': 4}
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id: 168487394
{'aut_label': '2AJ', 'centralizer': None, 'counter': 120, 'group_counter': 597, 'group_order': 8192, 'label': '2DO', 'order': 2, 'powers': [1], 'representative': 288173604945133534, 'size': 4}
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id: 168487395
{'aut_label': '2AJ', 'centralizer': None, 'counter': 121, 'group_counter': 597, 'group_order': 8192, 'label': '2DP', 'order': 2, 'powers': [1], 'representative': 288173606379470940, 'size': 4}
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id: 168487396
{'aut_label': '2AJ', 'centralizer': None, 'counter': 122, 'group_counter': 597, 'group_order': 8192, 'label': '2DQ', 'order': 2, 'powers': [1], 'representative': 288173606380558146, 'size': 4}
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id: 168487397
{'aut_label': '2AJ', 'centralizer': None, 'counter': 123, 'group_counter': 597, 'group_order': 8192, 'label': '2DR', 'order': 2, 'powers': [1], 'representative': 288173606381695164, 'size': 4}
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id: 168487398
{'aut_label': '2AJ', 'centralizer': None, 'counter': 124, 'group_counter': 597, 'group_order': 8192, 'label': '2DS', 'order': 2, 'powers': [1], 'representative': 288173606382058050, 'size': 4}
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id: 168487399
{'aut_label': '2AJ', 'centralizer': None, 'counter': 125, 'group_counter': 597, 'group_order': 8192, 'label': '2DT', 'order': 2, 'powers': [1], 'representative': 507231460176364142, 'size': 4}
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id: 168487400
{'aut_label': '2AJ', 'centralizer': None, 'counter': 126, 'group_counter': 597, 'group_order': 8192, 'label': '2DU', 'order': 2, 'powers': [1], 'representative': 507231460177451348, 'size': 4}
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id: 168487401
{'aut_label': '2AJ', 'centralizer': None, 'counter': 127, 'group_counter': 597, 'group_order': 8192, 'label': '2DV', 'order': 2, 'powers': [1], 'representative': 507231460178185040, 'size': 4}
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id: 168487402
{'aut_label': '2AJ', 'centralizer': None, 'counter': 128, 'group_counter': 597, 'group_order': 8192, 'label': '2DW', 'order': 2, 'powers': [1], 'representative': 507231460178951134, 'size': 4}
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id: 168487403
{'aut_label': '2AJ', 'centralizer': None, 'counter': 129, 'group_counter': 597, 'group_order': 8192, 'label': '2DX', 'order': 2, 'powers': [1], 'representative': 533259331282690140, 'size': 4}
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id: 168487405
{'aut_label': '2AJ', 'centralizer': None, 'counter': 130, 'group_counter': 597, 'group_order': 8192, 'label': '2DY', 'order': 2, 'powers': [1], 'representative': 533259331283777346, 'size': 4}
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id: 168487406
{'aut_label': '2AJ', 'centralizer': None, 'counter': 131, 'group_counter': 597, 'group_order': 8192, 'label': '2DZ', 'order': 2, 'powers': [1], 'representative': 533259331284914364, 'size': 4}
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id: 168487407
{'aut_label': '2AJ', 'centralizer': None, 'counter': 132, 'group_counter': 597, 'group_order': 8192, 'label': '2EA', 'order': 2, 'powers': [1], 'representative': 533259331285277250, 'size': 4}
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id: 168487408
{'aut_label': '2EB', 'centralizer': None, 'counter': 133, 'group_counter': 597, 'group_order': 8192, 'label': '2EB', 'order': 2, 'powers': [1], 'representative': 763412539119896678, 'size': 4}
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id: 168487409
{'aut_label': '2EB', 'centralizer': None, 'counter': 134, 'group_counter': 597, 'group_order': 8192, 'label': '2EC', 'order': 2, 'powers': [1], 'representative': 507231458730742217, 'size': 4}
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id: 168487410
{'aut_label': '2EB', 'centralizer': None, 'counter': 135, 'group_counter': 597, 'group_order': 8192, 'label': '2ED', 'order': 2, 'powers': [1], 'representative': 737383278911478304, 'size': 4}
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id: 168487411
{'aut_label': '2EB', 'centralizer': None, 'counter': 136, 'group_counter': 597, 'group_order': 8192, 'label': '2EE', 'order': 2, 'powers': [1], 'representative': 26072419699114401, 'size': 4}
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id: 168487412
{'aut_label': '2EB', 'centralizer': None, 'counter': 137, 'group_counter': 597, 'group_order': 8192, 'label': '2EF', 'order': 2, 'powers': [1], 'representative': 507231461613288540, 'size': 4}
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id: 168487413
{'aut_label': '2EB', 'centralizer': None, 'counter': 138, 'group_counter': 597, 'group_order': 8192, 'label': '2EG', 'order': 2, 'powers': [1], 'representative': 763412539122444184, 'size': 4}
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id: 168487414
{'aut_label': '2EB', 'centralizer': None, 'counter': 139, 'group_counter': 597, 'group_order': 8192, 'label': '2EH', 'order': 2, 'powers': [1], 'representative': 13160705961653367, 'size': 4}
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id: 168487416
{'aut_label': '2EB', 'centralizer': None, 'counter': 140, 'group_counter': 597, 'group_order': 8192, 'label': '2EI', 'order': 2, 'powers': [1], 'representative': 269008242208641444, 'size': 4}
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id: 168487417
{'aut_label': '2EB', 'centralizer': None, 'counter': 141, 'group_counter': 597, 'group_order': 8192, 'label': '2EJ', 'order': 2, 'powers': [1], 'representative': 507231457268659200, 'size': 4}
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id: 168487418
{'aut_label': '2EB', 'centralizer': None, 'counter': 142, 'group_counter': 597, 'group_order': 8192, 'label': '2EK', 'order': 2, 'powers': [1], 'representative': 249695277072627128, 'size': 4}
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id: 168487419
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id: 168487420
{'aut_label': '2EB', 'centralizer': None, 'counter': 144, 'group_counter': 597, 'group_order': 8192, 'label': '2EM', 'order': 2, 'powers': [1], 'representative': 507231461615875650, 'size': 4}
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id: 168487421
{'aut_label': '2EN', 'centralizer': None, 'counter': 145, 'group_counter': 597, 'group_order': 8192, 'label': '2EN', 'order': 2, 'powers': [1], 'representative': 1967535804, 'size': 8}
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id: 168487422
{'aut_label': '2EN', 'centralizer': None, 'counter': 146, 'group_counter': 597, 'group_order': 8192, 'label': '2EO', 'order': 2, 'powers': [1], 'representative': 1967898690, 'size': 8}
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id: 168487423
{'aut_label': '2EN', 'centralizer': None, 'counter': 147, 'group_counter': 597, 'group_order': 8192, 'label': '2EP', 'order': 2, 'powers': [1], 'representative': 1968991779, 'size': 8}
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id: 168487424
{'aut_label': '2EN', 'centralizer': None, 'counter': 148, 'group_counter': 597, 'group_order': 8192, 'label': '2EQ', 'order': 2, 'powers': [1], 'representative': 1970078985, 'size': 8}
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id: 168487425
{'aut_label': '2ER', 'centralizer': None, 'counter': 149, 'group_counter': 597, 'group_order': 8192, 'label': '2ER', 'order': 2, 'powers': [1], 'representative': 1979178980, 'size': 8}
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id: 168487427
{'aut_label': '2EN', 'centralizer': None, 'counter': 150, 'group_counter': 597, 'group_order': 8192, 'label': '2ES', 'order': 2, 'powers': [1], 'representative': 1989330278, 'size': 8}
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id: 168487428
{'aut_label': '2EN', 'centralizer': None, 'counter': 151, 'group_counter': 597, 'group_order': 8192, 'label': '2ET', 'order': 2, 'powers': [1], 'representative': 1990055324, 'size': 8}
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id: 168487429
{'aut_label': '2EN', 'centralizer': None, 'counter': 152, 'group_counter': 597, 'group_order': 8192, 'label': '2EU', 'order': 2, 'powers': [1], 'representative': 1991152738, 'size': 8}
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id: 168487430
{'aut_label': '2EN', 'centralizer': None, 'counter': 153, 'group_counter': 597, 'group_order': 8192, 'label': '2EV', 'order': 2, 'powers': [1], 'representative': 1991877784, 'size': 8}
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id: 168487431
{'aut_label': '2ER', 'centralizer': None, 'counter': 154, 'group_counter': 597, 'group_order': 8192, 'label': '2EW', 'order': 2, 'powers': [1], 'representative': 3409142490, 'size': 8}
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id: 168487432
{'aut_label': '2EN', 'centralizer': None, 'counter': 155, 'group_counter': 597, 'group_order': 8192, 'label': '2EX', 'order': 2, 'powers': [1], 'representative': 3426623342, 'size': 8}
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id: 168487433
{'aut_label': '2EN', 'centralizer': None, 'counter': 156, 'group_counter': 597, 'group_order': 8192, 'label': '2EY', 'order': 2, 'powers': [1], 'representative': 3427710548, 'size': 8}
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id: 168487434
{'aut_label': '2EN', 'centralizer': None, 'counter': 157, 'group_counter': 597, 'group_order': 8192, 'label': '2EZ', 'order': 2, 'powers': [1], 'representative': 3428444240, 'size': 8}
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id: 168487435
{'aut_label': '2EN', 'centralizer': None, 'counter': 158, 'group_counter': 597, 'group_order': 8192, 'label': '2FA', 'order': 2, 'powers': [1], 'representative': 3429210334, 'size': 8}
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id: 168487436
{'aut_label': '2ER', 'centralizer': None, 'counter': 159, 'group_counter': 597, 'group_order': 8192, 'label': '2FB', 'order': 2, 'powers': [1], 'representative': 4864634946, 'size': 8}
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id: 168487438
{'aut_label': '2EN', 'centralizer': None, 'counter': 160, 'group_counter': 597, 'group_order': 8192, 'label': '2FC', 'order': 2, 'powers': [1], 'representative': 13160704539983534, 'size': 8}
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id: 168487439
{'aut_label': '2EN', 'centralizer': None, 'counter': 161, 'group_counter': 597, 'group_order': 8192, 'label': '2FD', 'order': 2, 'powers': [1], 'representative': 13160704540708580, 'size': 8}
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id: 168487440
{'aut_label': '2EN', 'centralizer': None, 'counter': 162, 'group_counter': 597, 'group_order': 8192, 'label': '2FE', 'order': 2, 'powers': [1], 'representative': 13160704541438044, 'size': 8}
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id: 168487441
{'aut_label': '2EN', 'centralizer': None, 'counter': 163, 'group_counter': 597, 'group_order': 8192, 'label': '2FF', 'order': 2, 'powers': [1], 'representative': 13160704542531017, 'size': 8}
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id: 168487442
{'aut_label': '2FG', 'centralizer': None, 'counter': 164, 'group_counter': 597, 'group_order': 8192, 'label': '2FG', 'order': 2, 'powers': [1], 'representative': 13160704550859878, 'size': 8}
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id: 168487443
{'aut_label': '2ER', 'centralizer': None, 'counter': 165, 'group_counter': 597, 'group_order': 8192, 'label': '2FH', 'order': 2, 'powers': [1], 'representative': 13160704551584924, 'size': 8}
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id: 168487444
{'aut_label': '2ER', 'centralizer': None, 'counter': 166, 'group_counter': 597, 'group_order': 8192, 'label': '2FI', 'order': 2, 'powers': [1], 'representative': 13160704552682338, 'size': 8}
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id: 168487445
{'aut_label': '2FG', 'centralizer': None, 'counter': 167, 'group_counter': 597, 'group_order': 8192, 'label': '2FJ', 'order': 2, 'powers': [1], 'representative': 13160704553407384, 'size': 8}
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id: 168487446
{'aut_label': '2EN', 'centralizer': None, 'counter': 168, 'group_counter': 597, 'group_order': 8192, 'label': '2FK', 'order': 2, 'powers': [1], 'representative': 13160705977231212, 'size': 8}
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id: 168487447
{'aut_label': '2EN', 'centralizer': None, 'counter': 169, 'group_counter': 597, 'group_order': 8192, 'label': '2FL', 'order': 2, 'powers': [1], 'representative': 13160705978318418, 'size': 8}
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id: 168487449
{'aut_label': '2EN', 'centralizer': None, 'counter': 170, 'group_counter': 597, 'group_order': 8192, 'label': '2FM', 'order': 2, 'powers': [1], 'representative': 13160705978684160, 'size': 8}
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id: 168487450
{'aut_label': '2EN', 'centralizer': None, 'counter': 171, 'group_counter': 597, 'group_order': 8192, 'label': '2FN', 'order': 2, 'powers': [1], 'representative': 13160705979818181, 'size': 8}
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id: 168487451
{'aut_label': '2EN', 'centralizer': None, 'counter': 172, 'group_counter': 597, 'group_order': 8192, 'label': '2FO', 'order': 2, 'powers': [1], 'representative': 13160705988152942, 'size': 8}
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id: 168487452
{'aut_label': '2EN', 'centralizer': None, 'counter': 173, 'group_counter': 597, 'group_order': 8192, 'label': '2FP', 'order': 2, 'powers': [1], 'representative': 13160705989240148, 'size': 8}
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id: 168487453
{'aut_label': '2EN', 'centralizer': None, 'counter': 174, 'group_counter': 597, 'group_order': 8192, 'label': '2FQ', 'order': 2, 'powers': [1], 'representative': 13160705989973840, 'size': 8}
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id: 168487454
{'aut_label': '2EN', 'centralizer': None, 'counter': 175, 'group_counter': 597, 'group_order': 8192, 'label': '2FR', 'order': 2, 'powers': [1], 'representative': 13160705990739934, 'size': 8}
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id: 168487455
{'aut_label': '2FG', 'centralizer': None, 'counter': 176, 'group_counter': 597, 'group_order': 8192, 'label': '2FS', 'order': 2, 'powers': [1], 'representative': 13160707417824756, 'size': 8}
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id: 168487456
{'aut_label': '2ER', 'centralizer': None, 'counter': 177, 'group_counter': 597, 'group_order': 8192, 'label': '2FT', 'order': 2, 'powers': [1], 'representative': 13160707418911962, 'size': 8}
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id: 168487457
{'aut_label': '2ER', 'centralizer': None, 'counter': 178, 'group_counter': 597, 'group_order': 8192, 'label': '2FU', 'order': 2, 'powers': [1], 'representative': 13160707419681030, 'size': 8}
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id: 168487458
{'aut_label': '2FG', 'centralizer': None, 'counter': 179, 'group_counter': 597, 'group_order': 8192, 'label': '2FV', 'order': 2, 'powers': [1], 'representative': 13160707420411843, 'size': 8}
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id: 168487460
{'aut_label': '2EN', 'centralizer': None, 'counter': 180, 'group_counter': 597, 'group_order': 8192, 'label': '2FW', 'order': 2, 'powers': [1], 'representative': 13160707425077340, 'size': 8}
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id: 168487461
{'aut_label': '2EN', 'centralizer': None, 'counter': 181, 'group_counter': 597, 'group_order': 8192, 'label': '2FX', 'order': 2, 'powers': [1], 'representative': 13160707426164546, 'size': 8}
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id: 168487462
{'aut_label': '2EN', 'centralizer': None, 'counter': 182, 'group_counter': 597, 'group_order': 8192, 'label': '2FY', 'order': 2, 'powers': [1], 'representative': 13160707427301564, 'size': 8}
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id: 168487463
{'aut_label': '2EN', 'centralizer': None, 'counter': 183, 'group_counter': 597, 'group_order': 8192, 'label': '2FZ', 'order': 2, 'powers': [1], 'representative': 13160707427664450, 'size': 8}
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id: 168487464
{'aut_label': '2EN', 'centralizer': None, 'counter': 184, 'group_counter': 597, 'group_order': 8192, 'label': '2GA', 'order': 2, 'powers': [1], 'representative': 26072419725618278, 'size': 8}
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id: 168487465
{'aut_label': '2EN', 'centralizer': None, 'counter': 185, 'group_counter': 597, 'group_order': 8192, 'label': '2GB', 'order': 2, 'powers': [1], 'representative': 26072419726343324, 'size': 8}
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id: 168487466
{'aut_label': '2EN', 'centralizer': None, 'counter': 186, 'group_counter': 597, 'group_order': 8192, 'label': '2GC', 'order': 2, 'powers': [1], 'representative': 26072419727440738, 'size': 8}
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id: 168487467
{'aut_label': '2EN', 'centralizer': None, 'counter': 187, 'group_counter': 597, 'group_order': 8192, 'label': '2GD', 'order': 2, 'powers': [1], 'representative': 26072419728165784, 'size': 8}
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id: 168487468
{'aut_label': '2FG', 'centralizer': None, 'counter': 188, 'group_counter': 597, 'group_order': 8192, 'label': '2GE', 'order': 2, 'powers': [1], 'representative': 26072421162911342, 'size': 8}
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id: 168487469
{'aut_label': '2ER', 'centralizer': None, 'counter': 189, 'group_counter': 597, 'group_order': 8192, 'label': '2GF', 'order': 2, 'powers': [1], 'representative': 26072421163998548, 'size': 8}
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id: 168487471
{'aut_label': '2ER', 'centralizer': None, 'counter': 190, 'group_counter': 597, 'group_order': 8192, 'label': '2GG', 'order': 2, 'powers': [1], 'representative': 26072421164732240, 'size': 8}
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id: 168487472
{'aut_label': '2FG', 'centralizer': None, 'counter': 191, 'group_counter': 597, 'group_order': 8192, 'label': '2GH', 'order': 2, 'powers': [1], 'representative': 26072421165498334, 'size': 8}
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id: 168487473
{'aut_label': '2EN', 'centralizer': None, 'counter': 192, 'group_counter': 597, 'group_order': 8192, 'label': '2GI', 'order': 2, 'powers': [1], 'representative': 26072422599835740, 'size': 8}
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id: 168487474
{'aut_label': '2EN', 'centralizer': None, 'counter': 193, 'group_counter': 597, 'group_order': 8192, 'label': '2GJ', 'order': 2, 'powers': [1], 'representative': 26072422600922946, 'size': 8}
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id: 168487475
{'aut_label': '2EN', 'centralizer': None, 'counter': 194, 'group_counter': 597, 'group_order': 8192, 'label': '2GK', 'order': 2, 'powers': [1], 'representative': 26072422602059964, 'size': 8}
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id: 168487476
{'aut_label': '2EN', 'centralizer': None, 'counter': 195, 'group_counter': 597, 'group_order': 8192, 'label': '2GL', 'order': 2, 'powers': [1], 'representative': 26072422602422850, 'size': 8}
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id: 168487477
{'aut_label': '2GM', 'centralizer': None, 'counter': 196, 'group_counter': 597, 'group_order': 8192, 'label': '2GM', 'order': 2, 'powers': [1], 'representative': 51766489833006488, 'size': 8}
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id: 168487478
{'aut_label': '2GM', 'centralizer': None, 'counter': 197, 'group_counter': 597, 'group_order': 8192, 'label': '2GN', 'order': 2, 'powers': [1], 'representative': 51766489833772582, 'size': 8}
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id: 168487479
{'aut_label': '2GM', 'centralizer': None, 'counter': 198, 'group_counter': 597, 'group_order': 8192, 'label': '2GO', 'order': 2, 'powers': [1], 'representative': 51766489834501450, 'size': 8}
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id: 168487480
{'aut_label': '2GM', 'centralizer': None, 'counter': 199, 'group_counter': 597, 'group_order': 8192, 'label': '2GP', 'order': 2, 'powers': [1], 'representative': 51766489835226496, 'size': 8}
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id: 168487483
{'aut_label': '2ER', 'centralizer': None, 'counter': 200, 'group_counter': 597, 'group_order': 8192, 'label': '2GQ', 'order': 2, 'powers': [1], 'representative': 256097828489601618, 'size': 8}
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id: 168487484
{'aut_label': '2EN', 'centralizer': None, 'counter': 201, 'group_counter': 597, 'group_order': 8192, 'label': '2GR', 'order': 2, 'powers': [1], 'representative': 256097828499436142, 'size': 8}
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id: 168487485
{'aut_label': '2EN', 'centralizer': None, 'counter': 202, 'group_counter': 597, 'group_order': 8192, 'label': '2GS', 'order': 2, 'powers': [1], 'representative': 256097828500523348, 'size': 8}
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id: 168487486
{'aut_label': '2EN', 'centralizer': None, 'counter': 203, 'group_counter': 597, 'group_order': 8192, 'label': '2GT', 'order': 2, 'powers': [1], 'representative': 256097828501257040, 'size': 8}
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id: 168487487
{'aut_label': '2EN', 'centralizer': None, 'counter': 204, 'group_counter': 597, 'group_order': 8192, 'label': '2GU', 'order': 2, 'powers': [1], 'representative': 256097828502023134, 'size': 8}
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id: 168487488
{'aut_label': '2EN', 'centralizer': None, 'counter': 205, 'group_counter': 597, 'group_order': 8192, 'label': '2GV', 'order': 2, 'powers': [1], 'representative': 256097829929107956, 'size': 8}
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id: 168487489
{'aut_label': '2EN', 'centralizer': None, 'counter': 206, 'group_counter': 597, 'group_order': 8192, 'label': '2GW', 'order': 2, 'powers': [1], 'representative': 256097829930195162, 'size': 8}
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id: 168487490
{'aut_label': '2EN', 'centralizer': None, 'counter': 207, 'group_counter': 597, 'group_order': 8192, 'label': '2GX', 'order': 2, 'powers': [1], 'representative': 256097829930964230, 'size': 8}
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id: 168487491
{'aut_label': '2EN', 'centralizer': None, 'counter': 208, 'group_counter': 597, 'group_order': 8192, 'label': '2GY', 'order': 2, 'powers': [1], 'representative': 256097829931695043, 'size': 8}
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id: 168487492
{'aut_label': '2EN', 'centralizer': None, 'counter': 209, 'group_counter': 597, 'group_order': 8192, 'label': '2GZ', 'order': 2, 'powers': [1], 'representative': 256097829936360540, 'size': 8}
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id: 168487494
{'aut_label': '2EN', 'centralizer': None, 'counter': 210, 'group_counter': 597, 'group_order': 8192, 'label': '2HA', 'order': 2, 'powers': [1], 'representative': 256097829937447746, 'size': 8}
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id: 168487495
{'aut_label': '2EN', 'centralizer': None, 'counter': 211, 'group_counter': 597, 'group_order': 8192, 'label': '2HB', 'order': 2, 'powers': [1], 'representative': 256097829938584764, 'size': 8}
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id: 168487496
{'aut_label': '2EN', 'centralizer': None, 'counter': 212, 'group_counter': 597, 'group_order': 8192, 'label': '2HC', 'order': 2, 'powers': [1], 'representative': 256097829938947650, 'size': 8}
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id: 168487497
{'aut_label': '2ER', 'centralizer': None, 'counter': 213, 'group_counter': 597, 'group_order': 8192, 'label': '2HD', 'order': 2, 'powers': [1], 'representative': 269008243664858946, 'size': 8}
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id: 168487498
{'aut_label': '2GM', 'centralizer': None, 'counter': 214, 'group_counter': 597, 'group_order': 8192, 'label': '2HE', 'order': 2, 'powers': [1], 'representative': 294703613781617294, 'size': 8}
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id: 168487499
{'aut_label': '2GM', 'centralizer': None, 'counter': 215, 'group_counter': 597, 'group_order': 8192, 'label': '2HF', 'order': 2, 'powers': [1], 'representative': 294703613781980180, 'size': 8}
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id: 168487500
{'aut_label': '2GM', 'centralizer': None, 'counter': 216, 'group_counter': 597, 'group_order': 8192, 'label': '2HG', 'order': 2, 'powers': [1], 'representative': 294703613782708930, 'size': 8}
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id: 168487501
{'aut_label': '2GM', 'centralizer': None, 'counter': 217, 'group_counter': 597, 'group_order': 8192, 'label': '2HH', 'order': 2, 'powers': [1], 'representative': 294703613783433976, 'size': 8}
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id: 168487502
{'aut_label': '2ER', 'centralizer': None, 'counter': 218, 'group_counter': 597, 'group_order': 8192, 'label': '2HI', 'order': 2, 'powers': [1], 'representative': 507231461614375746, 'size': 8}
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id: 168487503
{'aut_label': '2GM', 'centralizer': None, 'counter': 219, 'group_counter': 597, 'group_order': 8192, 'label': '2HJ', 'order': 2, 'powers': [1], 'representative': 539767015773474374, 'size': 8}
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id: 168487505
{'aut_label': '2GM', 'centralizer': None, 'counter': 220, 'group_counter': 597, 'group_order': 8192, 'label': '2HK', 'order': 2, 'powers': [1], 'representative': 539767015774199420, 'size': 8}
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id: 168487506
{'aut_label': '2GM', 'centralizer': None, 'counter': 221, 'group_counter': 597, 'group_order': 8192, 'label': '2HL', 'order': 2, 'powers': [1], 'representative': 539767015774564448, 'size': 8}
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id: 168487507
{'aut_label': '2GM', 'centralizer': None, 'counter': 222, 'group_counter': 597, 'group_order': 8192, 'label': '2HM', 'order': 2, 'powers': [1], 'representative': 539767015775330542, 'size': 8}
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id: 168487508
{'aut_label': '2GM', 'centralizer': None, 'counter': 223, 'group_counter': 597, 'group_order': 8192, 'label': '2HN', 'order': 2, 'powers': [1], 'representative': 782704139242720692, 'size': 8}
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id: 168487509
{'aut_label': '2GM', 'centralizer': None, 'counter': 224, 'group_counter': 597, 'group_order': 8192, 'label': '2HO', 'order': 2, 'powers': [1], 'representative': 782704139243445738, 'size': 8}
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id: 168487510
{'aut_label': '2GM', 'centralizer': None, 'counter': 225, 'group_counter': 597, 'group_order': 8192, 'label': '2HP', 'order': 2, 'powers': [1], 'representative': 782704139244214092, 'size': 8}
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id: 168487511
{'aut_label': '2GM', 'centralizer': None, 'counter': 226, 'group_counter': 597, 'group_order': 8192, 'label': '2HQ', 'order': 2, 'powers': [1], 'representative': 782704139244576978, 'size': 8}
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id: 168487512
{'aut_label': '2HR', 'centralizer': None, 'counter': 227, 'group_counter': 597, 'group_order': 8192, 'label': '2HR', 'order': 2, 'powers': [1], 'representative': 51766491270334094, 'size': 16}
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id: 168487513
{'aut_label': '2HR', 'centralizer': None, 'counter': 228, 'group_counter': 597, 'group_order': 8192, 'label': '2HS', 'order': 2, 'powers': [1], 'representative': 51766491270696980, 'size': 16}
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id: 168487514
{'aut_label': '2HR', 'centralizer': None, 'counter': 229, 'group_counter': 597, 'group_order': 8192, 'label': '2HT', 'order': 2, 'powers': [1], 'representative': 51766491271425730, 'size': 16}
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id: 168487516
{'aut_label': '2HR', 'centralizer': None, 'counter': 230, 'group_counter': 597, 'group_order': 8192, 'label': '2HU', 'order': 2, 'powers': [1], 'representative': 51766491272150776, 'size': 16}
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id: 168487517
{'aut_label': '2HR', 'centralizer': None, 'counter': 231, 'group_counter': 597, 'group_order': 8192, 'label': '2HV', 'order': 2, 'powers': [1], 'representative': 51766492228539974, 'size': 16}
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id: 168487518
{'aut_label': '2HR', 'centralizer': None, 'counter': 232, 'group_counter': 597, 'group_order': 8192, 'label': '2HW', 'order': 2, 'powers': [1], 'representative': 51766492229265020, 'size': 16}
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id: 168487519
{'aut_label': '2HR', 'centralizer': None, 'counter': 233, 'group_counter': 597, 'group_order': 8192, 'label': '2HX', 'order': 2, 'powers': [1], 'representative': 51766492229630048, 'size': 16}
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id: 168487520
{'aut_label': '2HR', 'centralizer': None, 'counter': 234, 'group_counter': 597, 'group_order': 8192, 'label': '2HY', 'order': 2, 'powers': [1], 'representative': 51766492230396142, 'size': 16}
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id: 168487521
{'aut_label': '2HR', 'centralizer': None, 'counter': 235, 'group_counter': 597, 'group_order': 8192, 'label': '2HZ', 'order': 2, 'powers': [1], 'representative': 51766493186503092, 'size': 16}
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id: 168487522
{'aut_label': '2HR', 'centralizer': None, 'counter': 236, 'group_counter': 597, 'group_order': 8192, 'label': '2IA', 'order': 2, 'powers': [1], 'representative': 51766493187228138, 'size': 16}
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id: 168487523
{'aut_label': '2HR', 'centralizer': None, 'counter': 237, 'group_counter': 597, 'group_order': 8192, 'label': '2IB', 'order': 2, 'powers': [1], 'representative': 51766493187996492, 'size': 16}
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id: 168487524
{'aut_label': '2HR', 'centralizer': None, 'counter': 238, 'group_counter': 597, 'group_order': 8192, 'label': '2IC', 'order': 2, 'powers': [1], 'representative': 51766493188359378, 'size': 16}
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id: 168487525
{'aut_label': '2HR', 'centralizer': None, 'counter': 239, 'group_counter': 597, 'group_order': 8192, 'label': '2ID', 'order': 2, 'powers': [1], 'representative': 294703614739823174, 'size': 16}
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id: 168487527
{'aut_label': '2HR', 'centralizer': None, 'counter': 240, 'group_counter': 597, 'group_order': 8192, 'label': '2IE', 'order': 2, 'powers': [1], 'representative': 294703614740548220, 'size': 16}
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id: 168487528
{'aut_label': '2HR', 'centralizer': None, 'counter': 241, 'group_counter': 597, 'group_order': 8192, 'label': '2IF', 'order': 2, 'powers': [1], 'representative': 294703614740913248, 'size': 16}
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id: 168487529
{'aut_label': '2HR', 'centralizer': None, 'counter': 242, 'group_counter': 597, 'group_order': 8192, 'label': '2IG', 'order': 2, 'powers': [1], 'representative': 294703614741679342, 'size': 16}
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id: 168487530
{'aut_label': '2HR', 'centralizer': None, 'counter': 243, 'group_counter': 597, 'group_order': 8192, 'label': '2IH', 'order': 2, 'powers': [1], 'representative': 294703615697786292, 'size': 16}
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id: 168487531
{'aut_label': '2HR', 'centralizer': None, 'counter': 244, 'group_counter': 597, 'group_order': 8192, 'label': '2II', 'order': 2, 'powers': [1], 'representative': 294703615698511338, 'size': 16}
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id: 168487532
{'aut_label': '2HR', 'centralizer': None, 'counter': 245, 'group_counter': 597, 'group_order': 8192, 'label': '2IJ', 'order': 2, 'powers': [1], 'representative': 294703615699279692, 'size': 16}
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id: 168487533
{'aut_label': '2HR', 'centralizer': None, 'counter': 246, 'group_counter': 597, 'group_order': 8192, 'label': '2IK', 'order': 2, 'powers': [1], 'representative': 294703615699642578, 'size': 16}
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id: 168487534
{'aut_label': '2HR', 'centralizer': None, 'counter': 247, 'group_counter': 597, 'group_order': 8192, 'label': '2IL', 'order': 2, 'powers': [1], 'representative': 539767016731437492, 'size': 16}
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id: 168487535
{'aut_label': '2HR', 'centralizer': None, 'counter': 248, 'group_counter': 597, 'group_order': 8192, 'label': '2IM', 'order': 2, 'powers': [1], 'representative': 539767016732162538, 'size': 16}
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id: 168487536
{'aut_label': '2HR', 'centralizer': None, 'counter': 249, 'group_counter': 597, 'group_order': 8192, 'label': '2IN', 'order': 2, 'powers': [1], 'representative': 539767016732930892, 'size': 16}
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id: 168487538
{'aut_label': '2HR', 'centralizer': None, 'counter': 250, 'group_counter': 597, 'group_order': 8192, 'label': '2IO', 'order': 2, 'powers': [1], 'representative': 539767016733293778, 'size': 16}
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id: 168487539
{'aut_label': '2IP', 'centralizer': None, 'counter': 251, 'group_counter': 597, 'group_order': 8192, 'label': '2IP', 'order': 2, 'powers': [1], 'representative': 1817865853800577982, 'size': 16}
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id: 168487540
{'aut_label': '2IP', 'centralizer': None, 'counter': 252, 'group_counter': 597, 'group_order': 8192, 'label': '2IQ', 'order': 2, 'powers': [1], 'representative': 1449717514743516164, 'size': 16}
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id: 168487541
{'aut_label': '2IR', 'centralizer': None, 'counter': 253, 'group_counter': 597, 'group_order': 8192, 'label': '2IR', 'order': 2, 'powers': [1], 'representative': 906138201895035858, 'size': 32}
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id: 168487542
{'aut_label': '2IS', 'centralizer': None, 'counter': 254, 'group_counter': 597, 'group_order': 8192, 'label': '2IS', 'order': 2, 'powers': [1], 'representative': 122755329359487482, 'size': 64}
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id: 168487543
{'aut_label': '4A', 'centralizer': None, 'counter': 255, 'group_counter': 597, 'group_order': 8192, 'label': '4A', 'order': 4, 'powers': [31], 'representative': 51766489836635312, 'size': 8}
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id: 168487544
{'aut_label': '4A', 'centralizer': None, 'counter': 256, 'group_counter': 597, 'group_order': 8192, 'label': '4B', 'order': 4, 'powers': [31], 'representative': 51766489837401406, 'size': 8}
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id: 168487545
{'aut_label': '4A', 'centralizer': None, 'counter': 257, 'group_counter': 597, 'group_order': 8192, 'label': '4C', 'order': 4, 'powers': [31], 'representative': 51766489838130274, 'size': 8}
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id: 168487546
{'aut_label': '4A', 'centralizer': None, 'counter': 258, 'group_counter': 597, 'group_order': 8192, 'label': '4D', 'order': 4, 'powers': [31], 'representative': 51766489838855320, 'size': 8}
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id: 168487547
{'aut_label': '4A', 'centralizer': None, 'counter': 259, 'group_counter': 597, 'group_order': 8192, 'label': '4E', 'order': 4, 'powers': [32], 'representative': 51766489840274168, 'size': 8}
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id: 168487549
{'aut_label': '4A', 'centralizer': None, 'counter': 260, 'group_counter': 597, 'group_order': 8192, 'label': '4F', 'order': 4, 'powers': [32], 'representative': 51766489841040262, 'size': 8}
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id: 168487550
{'aut_label': '4A', 'centralizer': None, 'counter': 261, 'group_counter': 597, 'group_order': 8192, 'label': '4G', 'order': 4, 'powers': [32], 'representative': 51766489841769130, 'size': 8}
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id: 168487551
{'aut_label': '4A', 'centralizer': None, 'counter': 262, 'group_counter': 597, 'group_order': 8192, 'label': '4H', 'order': 4, 'powers': [32], 'representative': 51766489842494176, 'size': 8}
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id: 168487552
{'aut_label': '4A', 'centralizer': None, 'counter': 263, 'group_counter': 597, 'group_order': 8192, 'label': '4I', 'order': 4, 'powers': [33], 'representative': 51766489843902992, 'size': 8}
-
id: 168487553
{'aut_label': '4A', 'centralizer': None, 'counter': 264, 'group_counter': 597, 'group_order': 8192, 'label': '4J', 'order': 4, 'powers': [33], 'representative': 51766489844669086, 'size': 8}
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id: 168487554
{'aut_label': '4A', 'centralizer': None, 'counter': 265, 'group_counter': 597, 'group_order': 8192, 'label': '4K', 'order': 4, 'powers': [33], 'representative': 51766489845397954, 'size': 8}
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id: 168487555
{'aut_label': '4A', 'centralizer': None, 'counter': 266, 'group_counter': 597, 'group_order': 8192, 'label': '4L', 'order': 4, 'powers': [33], 'representative': 51766489846123000, 'size': 8}
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id: 168487556
{'aut_label': '4A', 'centralizer': None, 'counter': 267, 'group_counter': 597, 'group_order': 8192, 'label': '4M', 'order': 4, 'powers': [31], 'representative': 294703613785246118, 'size': 8}
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id: 168487557
{'aut_label': '4A', 'centralizer': None, 'counter': 268, 'group_counter': 597, 'group_order': 8192, 'label': '4N', 'order': 4, 'powers': [31], 'representative': 294703613785609004, 'size': 8}
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id: 168487558
{'aut_label': '4A', 'centralizer': None, 'counter': 269, 'group_counter': 597, 'group_order': 8192, 'label': '4O', 'order': 4, 'powers': [31], 'representative': 294703613786337754, 'size': 8}
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id: 168487560
{'aut_label': '4A', 'centralizer': None, 'counter': 270, 'group_counter': 597, 'group_order': 8192, 'label': '4P', 'order': 4, 'powers': [31], 'representative': 294703613787062800, 'size': 8}
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id: 168487561
{'aut_label': '4A', 'centralizer': None, 'counter': 271, 'group_counter': 597, 'group_order': 8192, 'label': '4Q', 'order': 4, 'powers': [32], 'representative': 294703613788884974, 'size': 8}
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id: 168487562
{'aut_label': '4A', 'centralizer': None, 'counter': 272, 'group_counter': 597, 'group_order': 8192, 'label': '4R', 'order': 4, 'powers': [32], 'representative': 294703613789247860, 'size': 8}
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id: 168487563
{'aut_label': '4A', 'centralizer': None, 'counter': 273, 'group_counter': 597, 'group_order': 8192, 'label': '4S', 'order': 4, 'powers': [32], 'representative': 294703613789976610, 'size': 8}
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id: 168487564
{'aut_label': '4A', 'centralizer': None, 'counter': 274, 'group_counter': 597, 'group_order': 8192, 'label': '4T', 'order': 4, 'powers': [32], 'representative': 294703613790701656, 'size': 8}
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id: 168487565
{'aut_label': '4A', 'centralizer': None, 'counter': 275, 'group_counter': 597, 'group_order': 8192, 'label': '4U', 'order': 4, 'powers': [33], 'representative': 294703613796182918, 'size': 8}
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id: 168487566
{'aut_label': '4A', 'centralizer': None, 'counter': 276, 'group_counter': 597, 'group_order': 8192, 'label': '4V', 'order': 4, 'powers': [33], 'representative': 294703613796545804, 'size': 8}
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id: 168487567
{'aut_label': '4A', 'centralizer': None, 'counter': 277, 'group_counter': 597, 'group_order': 8192, 'label': '4W', 'order': 4, 'powers': [33], 'representative': 294703613797274554, 'size': 8}
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id: 168487568
{'aut_label': '4A', 'centralizer': None, 'counter': 278, 'group_counter': 597, 'group_order': 8192, 'label': '4X', 'order': 4, 'powers': [33], 'representative': 294703613797999600, 'size': 8}
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id: 168487569
{'aut_label': '4A', 'centralizer': None, 'counter': 279, 'group_counter': 597, 'group_order': 8192, 'label': '4Y', 'order': 4, 'powers': [31], 'representative': 539767015777103198, 'size': 8}
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id: 168487571
{'aut_label': '4A', 'centralizer': None, 'counter': 280, 'group_counter': 597, 'group_order': 8192, 'label': '4Z', 'order': 4, 'powers': [31], 'representative': 539767015777828244, 'size': 8}
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id: 168487572
{'aut_label': '4A', 'centralizer': None, 'counter': 281, 'group_counter': 597, 'group_order': 8192, 'label': '4AA', 'order': 4, 'powers': [31], 'representative': 539767015778193272, 'size': 8}
-
id: 168487573
{'aut_label': '4A', 'centralizer': None, 'counter': 282, 'group_counter': 597, 'group_order': 8192, 'label': '4AB', 'order': 4, 'powers': [31], 'representative': 539767015778959366, 'size': 8}
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id: 168487574
{'aut_label': '4A', 'centralizer': None, 'counter': 283, 'group_counter': 597, 'group_order': 8192, 'label': '4AC', 'order': 4, 'powers': [32], 'representative': 539767015780747214, 'size': 8}
-
id: 168487575
{'aut_label': '4A', 'centralizer': None, 'counter': 284, 'group_counter': 597, 'group_order': 8192, 'label': '4AD', 'order': 4, 'powers': [32], 'representative': 539767015781472260, 'size': 8}
-
id: 168487576
{'aut_label': '4A', 'centralizer': None, 'counter': 285, 'group_counter': 597, 'group_order': 8192, 'label': '4AE', 'order': 4, 'powers': [32], 'representative': 539767015781837288, 'size': 8}
-
id: 168487577
{'aut_label': '4A', 'centralizer': None, 'counter': 286, 'group_counter': 597, 'group_order': 8192, 'label': '4AF', 'order': 4, 'powers': [32], 'representative': 539767015782603382, 'size': 8}
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id: 168487578
{'aut_label': '4A', 'centralizer': None, 'counter': 287, 'group_counter': 597, 'group_order': 8192, 'label': '4AG', 'order': 4, 'powers': [33], 'representative': 539767015787999798, 'size': 8}
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id: 168487579
{'aut_label': '4A', 'centralizer': None, 'counter': 288, 'group_counter': 597, 'group_order': 8192, 'label': '4AH', 'order': 4, 'powers': [33], 'representative': 539767015788724844, 'size': 8}
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id: 168487580
{'aut_label': '4A', 'centralizer': None, 'counter': 289, 'group_counter': 597, 'group_order': 8192, 'label': '4AI', 'order': 4, 'powers': [33], 'representative': 539767015789089872, 'size': 8}
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id: 168487582
{'aut_label': '4A', 'centralizer': None, 'counter': 290, 'group_counter': 597, 'group_order': 8192, 'label': '4AJ', 'order': 4, 'powers': [33], 'representative': 539767015789855966, 'size': 8}
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id: 168487583
{'aut_label': '4A', 'centralizer': None, 'counter': 291, 'group_counter': 597, 'group_order': 8192, 'label': '4AK', 'order': 4, 'powers': [31], 'representative': 782704139246349542, 'size': 8}
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id: 168487584
{'aut_label': '4A', 'centralizer': None, 'counter': 292, 'group_counter': 597, 'group_order': 8192, 'label': '4AL', 'order': 4, 'powers': [31], 'representative': 782704139247074588, 'size': 8}
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id: 168487585
{'aut_label': '4A', 'centralizer': None, 'counter': 293, 'group_counter': 597, 'group_order': 8192, 'label': '4AM', 'order': 4, 'powers': [31], 'representative': 782704139247842942, 'size': 8}
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id: 168487586
{'aut_label': '4A', 'centralizer': None, 'counter': 294, 'group_counter': 597, 'group_order': 8192, 'label': '4AN', 'order': 4, 'powers': [31], 'representative': 782704139248205828, 'size': 8}
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id: 168487587
{'aut_label': '4A', 'centralizer': None, 'counter': 295, 'group_counter': 597, 'group_order': 8192, 'label': '4AO', 'order': 4, 'powers': [32], 'representative': 782704139249993414, 'size': 8}
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id: 168487588
{'aut_label': '4A', 'centralizer': None, 'counter': 296, 'group_counter': 597, 'group_order': 8192, 'label': '4AP', 'order': 4, 'powers': [32], 'representative': 782704139250718460, 'size': 8}
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id: 168487589
{'aut_label': '4A', 'centralizer': None, 'counter': 297, 'group_counter': 597, 'group_order': 8192, 'label': '4AQ', 'order': 4, 'powers': [32], 'representative': 782704139251486814, 'size': 8}
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id: 168487590
{'aut_label': '4A', 'centralizer': None, 'counter': 298, 'group_counter': 597, 'group_order': 8192, 'label': '4AR', 'order': 4, 'powers': [32], 'representative': 782704139251849700, 'size': 8}
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id: 168487591
{'aut_label': '4A', 'centralizer': None, 'counter': 299, 'group_counter': 597, 'group_order': 8192, 'label': '4AS', 'order': 4, 'powers': [33], 'representative': 782704139257245998, 'size': 8}
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id: 168487594
{'aut_label': '4A', 'centralizer': None, 'counter': 300, 'group_counter': 597, 'group_order': 8192, 'label': '4AT', 'order': 4, 'powers': [33], 'representative': 782704139257971044, 'size': 8}
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id: 168487595
{'aut_label': '4A', 'centralizer': None, 'counter': 301, 'group_counter': 597, 'group_order': 8192, 'label': '4AU', 'order': 4, 'powers': [33], 'representative': 782704139258739398, 'size': 8}
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id: 168487596
{'aut_label': '4A', 'centralizer': None, 'counter': 302, 'group_counter': 597, 'group_order': 8192, 'label': '4AV', 'order': 4, 'powers': [33], 'representative': 782704139259102284, 'size': 8}
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id: 168487597
{'aut_label': '4AW', 'centralizer': None, 'counter': 303, 'group_counter': 597, 'group_order': 8192, 'label': '4AW', 'order': 4, 'powers': [31], 'representative': 51766491273962918, 'size': 16}
-
id: 168487598
{'aut_label': '4AW', 'centralizer': None, 'counter': 304, 'group_counter': 597, 'group_order': 8192, 'label': '4AX', 'order': 4, 'powers': [31], 'representative': 51766491274325804, 'size': 16}
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id: 168487599
{'aut_label': '4AW', 'centralizer': None, 'counter': 305, 'group_counter': 597, 'group_order': 8192, 'label': '4AY', 'order': 4, 'powers': [31], 'representative': 51766491275054554, 'size': 16}
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id: 168487600
{'aut_label': '4AW', 'centralizer': None, 'counter': 306, 'group_counter': 597, 'group_order': 8192, 'label': '4AZ', 'order': 4, 'powers': [31], 'representative': 51766491275779600, 'size': 16}
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id: 168487601
{'aut_label': '4BA', 'centralizer': None, 'counter': 307, 'group_counter': 597, 'group_order': 8192, 'label': '4BA', 'order': 4, 'powers': [32], 'representative': 51766491277601774, 'size': 16}
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id: 168487602
{'aut_label': '4BA', 'centralizer': None, 'counter': 308, 'group_counter': 597, 'group_order': 8192, 'label': '4BB', 'order': 4, 'powers': [32], 'representative': 51766491277964660, 'size': 16}
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id: 168487603
{'aut_label': '4BA', 'centralizer': None, 'counter': 309, 'group_counter': 597, 'group_order': 8192, 'label': '4BC', 'order': 4, 'powers': [32], 'representative': 51766491278693410, 'size': 16}
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id: 168487605
{'aut_label': '4BA', 'centralizer': None, 'counter': 310, 'group_counter': 597, 'group_order': 8192, 'label': '4BD', 'order': 4, 'powers': [32], 'representative': 51766491279418456, 'size': 16}
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id: 168487606
{'aut_label': '4AW', 'centralizer': None, 'counter': 311, 'group_counter': 597, 'group_order': 8192, 'label': '4BE', 'order': 4, 'powers': [33], 'representative': 51766491284899718, 'size': 16}
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id: 168487607
{'aut_label': '4AW', 'centralizer': None, 'counter': 312, 'group_counter': 597, 'group_order': 8192, 'label': '4BF', 'order': 4, 'powers': [33], 'representative': 51766491285262604, 'size': 16}
-
id: 168487608
{'aut_label': '4AW', 'centralizer': None, 'counter': 313, 'group_counter': 597, 'group_order': 8192, 'label': '4BG', 'order': 4, 'powers': [33], 'representative': 51766491285991354, 'size': 16}
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id: 168487609
{'aut_label': '4AW', 'centralizer': None, 'counter': 314, 'group_counter': 597, 'group_order': 8192, 'label': '4BH', 'order': 4, 'powers': [33], 'representative': 51766491286716400, 'size': 16}
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id: 168487610
{'aut_label': '4BA', 'centralizer': None, 'counter': 315, 'group_counter': 597, 'group_order': 8192, 'label': '4BI', 'order': 4, 'powers': [31], 'representative': 51766492232168798, 'size': 16}
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id: 168487611
{'aut_label': '4BA', 'centralizer': None, 'counter': 316, 'group_counter': 597, 'group_order': 8192, 'label': '4BJ', 'order': 4, 'powers': [31], 'representative': 51766492232893844, 'size': 16}
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id: 168487612
{'aut_label': '4BA', 'centralizer': None, 'counter': 317, 'group_counter': 597, 'group_order': 8192, 'label': '4BK', 'order': 4, 'powers': [31], 'representative': 51766492233258872, 'size': 16}
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id: 168487613
{'aut_label': '4BA', 'centralizer': None, 'counter': 318, 'group_counter': 597, 'group_order': 8192, 'label': '4BL', 'order': 4, 'powers': [31], 'representative': 51766492234024966, 'size': 16}
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id: 168487614
{'aut_label': '4AW', 'centralizer': None, 'counter': 319, 'group_counter': 597, 'group_order': 8192, 'label': '4BM', 'order': 4, 'powers': [32], 'representative': 51766492235812814, 'size': 16}
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id: 168487616
{'aut_label': '4AW', 'centralizer': None, 'counter': 320, 'group_counter': 597, 'group_order': 8192, 'label': '4BN', 'order': 4, 'powers': [32], 'representative': 51766492236537860, 'size': 16}
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id: 168487617
{'aut_label': '4AW', 'centralizer': None, 'counter': 321, 'group_counter': 597, 'group_order': 8192, 'label': '4BO', 'order': 4, 'powers': [32], 'representative': 51766492236902888, 'size': 16}
-
id: 168487618
{'aut_label': '4AW', 'centralizer': None, 'counter': 322, 'group_counter': 597, 'group_order': 8192, 'label': '4BP', 'order': 4, 'powers': [32], 'representative': 51766492237668982, 'size': 16}
-
id: 168487619
{'aut_label': '4AW', 'centralizer': None, 'counter': 323, 'group_counter': 597, 'group_order': 8192, 'label': '4BQ', 'order': 4, 'powers': [33], 'representative': 51766492243065398, 'size': 16}
-
id: 168487620
{'aut_label': '4AW', 'centralizer': None, 'counter': 324, 'group_counter': 597, 'group_order': 8192, 'label': '4BR', 'order': 4, 'powers': [33], 'representative': 51766492243790444, 'size': 16}
-
id: 168487621
{'aut_label': '4AW', 'centralizer': None, 'counter': 325, 'group_counter': 597, 'group_order': 8192, 'label': '4BS', 'order': 4, 'powers': [33], 'representative': 51766492244155472, 'size': 16}
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id: 168487622
{'aut_label': '4AW', 'centralizer': None, 'counter': 326, 'group_counter': 597, 'group_order': 8192, 'label': '4BT', 'order': 4, 'powers': [33], 'representative': 51766492244921566, 'size': 16}
-
id: 168487623
{'aut_label': '4AW', 'centralizer': None, 'counter': 327, 'group_counter': 597, 'group_order': 8192, 'label': '4BU', 'order': 4, 'powers': [31], 'representative': 51766493190131942, 'size': 16}
-
id: 168487624
{'aut_label': '4AW', 'centralizer': None, 'counter': 328, 'group_counter': 597, 'group_order': 8192, 'label': '4BV', 'order': 4, 'powers': [31], 'representative': 51766493190856988, 'size': 16}
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id: 168487625
{'aut_label': '4AW', 'centralizer': None, 'counter': 329, 'group_counter': 597, 'group_order': 8192, 'label': '4BW', 'order': 4, 'powers': [31], 'representative': 51766493191625342, 'size': 16}
-
id: 168487627
{'aut_label': '4AW', 'centralizer': None, 'counter': 330, 'group_counter': 597, 'group_order': 8192, 'label': '4BX', 'order': 4, 'powers': [31], 'representative': 51766493191988228, 'size': 16}
-
id: 168487628
{'aut_label': '4AW', 'centralizer': None, 'counter': 331, 'group_counter': 597, 'group_order': 8192, 'label': '4BY', 'order': 4, 'powers': [32], 'representative': 51766493193775814, 'size': 16}
-
id: 168487629
{'aut_label': '4AW', 'centralizer': None, 'counter': 332, 'group_counter': 597, 'group_order': 8192, 'label': '4BZ', 'order': 4, 'powers': [32], 'representative': 51766493194500860, 'size': 16}
-
id: 168487630
{'aut_label': '4AW', 'centralizer': None, 'counter': 333, 'group_counter': 597, 'group_order': 8192, 'label': '4CA', 'order': 4, 'powers': [32], 'representative': 51766493195269214, 'size': 16}
-
id: 168487631
{'aut_label': '4AW', 'centralizer': None, 'counter': 334, 'group_counter': 597, 'group_order': 8192, 'label': '4CB', 'order': 4, 'powers': [32], 'representative': 51766493195632100, 'size': 16}
-
id: 168487632
{'aut_label': '4BA', 'centralizer': None, 'counter': 335, 'group_counter': 597, 'group_order': 8192, 'label': '4CC', 'order': 4, 'powers': [33], 'representative': 51766493201028398, 'size': 16}
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id: 168487633
{'aut_label': '4BA', 'centralizer': None, 'counter': 336, 'group_counter': 597, 'group_order': 8192, 'label': '4CD', 'order': 4, 'powers': [33], 'representative': 51766493201753444, 'size': 16}
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id: 168487634
{'aut_label': '4BA', 'centralizer': None, 'counter': 337, 'group_counter': 597, 'group_order': 8192, 'label': '4CE', 'order': 4, 'powers': [33], 'representative': 51766493202521798, 'size': 16}
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id: 168487635
{'aut_label': '4BA', 'centralizer': None, 'counter': 338, 'group_counter': 597, 'group_order': 8192, 'label': '4CF', 'order': 4, 'powers': [33], 'representative': 51766493202884684, 'size': 16}
-
id: 168487636
{'aut_label': '4AW', 'centralizer': None, 'counter': 339, 'group_counter': 597, 'group_order': 8192, 'label': '4CG', 'order': 4, 'powers': [31], 'representative': 294703614743451998, 'size': 16}
-
id: 168487638
{'aut_label': '4AW', 'centralizer': None, 'counter': 340, 'group_counter': 597, 'group_order': 8192, 'label': '4CH', 'order': 4, 'powers': [31], 'representative': 294703614744177044, 'size': 16}
-
id: 168487639
{'aut_label': '4AW', 'centralizer': None, 'counter': 341, 'group_counter': 597, 'group_order': 8192, 'label': '4CI', 'order': 4, 'powers': [31], 'representative': 294703614744542072, 'size': 16}
-
id: 168487640
{'aut_label': '4AW', 'centralizer': None, 'counter': 342, 'group_counter': 597, 'group_order': 8192, 'label': '4CJ', 'order': 4, 'powers': [31], 'representative': 294703614745308166, 'size': 16}
-
id: 168487641
{'aut_label': '4AW', 'centralizer': None, 'counter': 343, 'group_counter': 597, 'group_order': 8192, 'label': '4CK', 'order': 4, 'powers': [32], 'representative': 294703614747096014, 'size': 16}
-
id: 168487642
{'aut_label': '4AW', 'centralizer': None, 'counter': 344, 'group_counter': 597, 'group_order': 8192, 'label': '4CL', 'order': 4, 'powers': [32], 'representative': 294703614747821060, 'size': 16}
-
id: 168487643
{'aut_label': '4AW', 'centralizer': None, 'counter': 345, 'group_counter': 597, 'group_order': 8192, 'label': '4CM', 'order': 4, 'powers': [32], 'representative': 294703614748186088, 'size': 16}
-
id: 168487644
{'aut_label': '4AW', 'centralizer': None, 'counter': 346, 'group_counter': 597, 'group_order': 8192, 'label': '4CN', 'order': 4, 'powers': [32], 'representative': 294703614748952182, 'size': 16}
-
id: 168487645
{'aut_label': '4BA', 'centralizer': None, 'counter': 347, 'group_counter': 597, 'group_order': 8192, 'label': '4CO', 'order': 4, 'powers': [33], 'representative': 294703614754348598, 'size': 16}
-
id: 168487646
{'aut_label': '4BA', 'centralizer': None, 'counter': 348, 'group_counter': 597, 'group_order': 8192, 'label': '4CP', 'order': 4, 'powers': [33], 'representative': 294703614755073644, 'size': 16}
-
id: 168487647
{'aut_label': '4BA', 'centralizer': None, 'counter': 349, 'group_counter': 597, 'group_order': 8192, 'label': '4CQ', 'order': 4, 'powers': [33], 'representative': 294703614755438672, 'size': 16}
-
id: 168487649
{'aut_label': '4BA', 'centralizer': None, 'counter': 350, 'group_counter': 597, 'group_order': 8192, 'label': '4CR', 'order': 4, 'powers': [33], 'representative': 294703614756204766, 'size': 16}
-
id: 168487650
{'aut_label': '4BA', 'centralizer': None, 'counter': 351, 'group_counter': 597, 'group_order': 8192, 'label': '4CS', 'order': 4, 'powers': [31], 'representative': 294703615701415142, 'size': 16}
-
id: 168487651
{'aut_label': '4BA', 'centralizer': None, 'counter': 352, 'group_counter': 597, 'group_order': 8192, 'label': '4CT', 'order': 4, 'powers': [31], 'representative': 294703615702140188, 'size': 16}
-
id: 168487652
{'aut_label': '4BA', 'centralizer': None, 'counter': 353, 'group_counter': 597, 'group_order': 8192, 'label': '4CU', 'order': 4, 'powers': [31], 'representative': 294703615702908542, 'size': 16}
-
id: 168487653
{'aut_label': '4BA', 'centralizer': None, 'counter': 354, 'group_counter': 597, 'group_order': 8192, 'label': '4CV', 'order': 4, 'powers': [31], 'representative': 294703615703271428, 'size': 16}
-
id: 168487654
{'aut_label': '4AW', 'centralizer': None, 'counter': 355, 'group_counter': 597, 'group_order': 8192, 'label': '4CW', 'order': 4, 'powers': [32], 'representative': 294703615705059014, 'size': 16}
-
id: 168487655
{'aut_label': '4AW', 'centralizer': None, 'counter': 356, 'group_counter': 597, 'group_order': 8192, 'label': '4CX', 'order': 4, 'powers': [32], 'representative': 294703615705784060, 'size': 16}
-
id: 168487656
{'aut_label': '4AW', 'centralizer': None, 'counter': 357, 'group_counter': 597, 'group_order': 8192, 'label': '4CY', 'order': 4, 'powers': [32], 'representative': 294703615706552414, 'size': 16}
-
id: 168487657
{'aut_label': '4AW', 'centralizer': None, 'counter': 358, 'group_counter': 597, 'group_order': 8192, 'label': '4CZ', 'order': 4, 'powers': [32], 'representative': 294703615706915300, 'size': 16}
-
id: 168487658
{'aut_label': '4AW', 'centralizer': None, 'counter': 359, 'group_counter': 597, 'group_order': 8192, 'label': '4DA', 'order': 4, 'powers': [33], 'representative': 294703615712311598, 'size': 16}
-
id: 168487660
{'aut_label': '4AW', 'centralizer': None, 'counter': 360, 'group_counter': 597, 'group_order': 8192, 'label': '4DB', 'order': 4, 'powers': [33], 'representative': 294703615713036644, 'size': 16}
-
id: 168487661
{'aut_label': '4AW', 'centralizer': None, 'counter': 361, 'group_counter': 597, 'group_order': 8192, 'label': '4DC', 'order': 4, 'powers': [33], 'representative': 294703615713804998, 'size': 16}
-
id: 168487662
{'aut_label': '4AW', 'centralizer': None, 'counter': 362, 'group_counter': 597, 'group_order': 8192, 'label': '4DD', 'order': 4, 'powers': [33], 'representative': 294703615714167884, 'size': 16}
-
id: 168487663
{'aut_label': '4AW', 'centralizer': None, 'counter': 363, 'group_counter': 597, 'group_order': 8192, 'label': '4DE', 'order': 4, 'powers': [31], 'representative': 539767016735066342, 'size': 16}
-
id: 168487664
{'aut_label': '4AW', 'centralizer': None, 'counter': 364, 'group_counter': 597, 'group_order': 8192, 'label': '4DF', 'order': 4, 'powers': [31], 'representative': 539767016735791388, 'size': 16}
-
id: 168487665
{'aut_label': '4AW', 'centralizer': None, 'counter': 365, 'group_counter': 597, 'group_order': 8192, 'label': '4DG', 'order': 4, 'powers': [31], 'representative': 539767016736559742, 'size': 16}
-
id: 168487666
{'aut_label': '4AW', 'centralizer': None, 'counter': 366, 'group_counter': 597, 'group_order': 8192, 'label': '4DH', 'order': 4, 'powers': [31], 'representative': 539767016736922628, 'size': 16}
-
id: 168487667
{'aut_label': '4BA', 'centralizer': None, 'counter': 367, 'group_counter': 597, 'group_order': 8192, 'label': '4DI', 'order': 4, 'powers': [32], 'representative': 539767016738710214, 'size': 16}
-
id: 168487668
{'aut_label': '4BA', 'centralizer': None, 'counter': 368, 'group_counter': 597, 'group_order': 8192, 'label': '4DJ', 'order': 4, 'powers': [32], 'representative': 539767016739435260, 'size': 16}
-
id: 168487669
{'aut_label': '4BA', 'centralizer': None, 'counter': 369, 'group_counter': 597, 'group_order': 8192, 'label': '4DK', 'order': 4, 'powers': [32], 'representative': 539767016740203614, 'size': 16}
-
id: 168487671
{'aut_label': '4BA', 'centralizer': None, 'counter': 370, 'group_counter': 597, 'group_order': 8192, 'label': '4DL', 'order': 4, 'powers': [32], 'representative': 539767016740566500, 'size': 16}
-
id: 168487672
{'aut_label': '4AW', 'centralizer': None, 'counter': 371, 'group_counter': 597, 'group_order': 8192, 'label': '4DM', 'order': 4, 'powers': [33], 'representative': 539767016745962798, 'size': 16}
-
id: 168487673
{'aut_label': '4AW', 'centralizer': None, 'counter': 372, 'group_counter': 597, 'group_order': 8192, 'label': '4DN', 'order': 4, 'powers': [33], 'representative': 539767016746687844, 'size': 16}
-
id: 168487674
{'aut_label': '4AW', 'centralizer': None, 'counter': 373, 'group_counter': 597, 'group_order': 8192, 'label': '4DO', 'order': 4, 'powers': [33], 'representative': 539767016747456198, 'size': 16}
-
id: 168487675
{'aut_label': '4AW', 'centralizer': None, 'counter': 374, 'group_counter': 597, 'group_order': 8192, 'label': '4DP', 'order': 4, 'powers': [33], 'representative': 539767016747819084, 'size': 16}
-
id: 168487676
{'aut_label': '4DQ', 'centralizer': None, 'counter': 375, 'group_counter': 597, 'group_order': 8192, 'label': '4DQ', 'order': 4, 'powers': [4], 'representative': 2130456237272917478, 'size': 16}
-
id: 168487677
{'aut_label': '4DQ', 'centralizer': None, 'counter': 376, 'group_counter': 597, 'group_order': 8192, 'label': '4DR', 'order': 4, 'powers': [3], 'representative': 1449717516656059962, 'size': 16}
-
id: 168487678
{'aut_label': '4DQ', 'centralizer': None, 'counter': 377, 'group_counter': 597, 'group_order': 8192, 'label': '4DS', 'order': 4, 'powers': [3], 'representative': 1798323698407035878, 'size': 16}
-
id: 168487679
{'aut_label': '4DQ', 'centralizer': None, 'counter': 378, 'group_counter': 597, 'group_order': 8192, 'label': '4DT', 'order': 4, 'powers': [4], 'representative': 1449717515683531242, 'size': 16}
-
id: 168487680
{'aut_label': '4DQ', 'centralizer': None, 'counter': 379, 'group_counter': 597, 'group_order': 8192, 'label': '4DU', 'order': 4, 'powers': [2], 'representative': 1798323701264067042, 'size': 16}
-
id: 168487682
{'aut_label': '4DQ', 'centralizer': None, 'counter': 380, 'group_counter': 597, 'group_order': 8192, 'label': '4DV', 'order': 4, 'powers': [2], 'representative': 925680356351834078, 'size': 16}
-
id: 168487683
{'aut_label': '4DW', 'centralizer': None, 'counter': 381, 'group_counter': 597, 'group_order': 8192, 'label': '4DW', 'order': 4, 'powers': [31], 'representative': 906138201901970942, 'size': 32}
-
id: 168487684
{'aut_label': '4DW', 'centralizer': None, 'counter': 382, 'group_counter': 597, 'group_order': 8192, 'label': '4DX', 'order': 4, 'powers': [31], 'representative': 906138201902333828, 'size': 32}
-
id: 168487685
{'aut_label': '4DW', 'centralizer': None, 'counter': 383, 'group_counter': 597, 'group_order': 8192, 'label': '4DY', 'order': 4, 'powers': [31], 'representative': 906138201902698142, 'size': 32}
-
id: 168487686
{'aut_label': '4DW', 'centralizer': None, 'counter': 384, 'group_counter': 597, 'group_order': 8192, 'label': '4DZ', 'order': 4, 'powers': [31], 'representative': 906138201903061028, 'size': 32}
-
id: 168487687
{'aut_label': '4DW', 'centralizer': None, 'counter': 385, 'group_counter': 597, 'group_order': 8192, 'label': '4EA', 'order': 4, 'powers': [32], 'representative': 906138201909248894, 'size': 32}
-
id: 168487688
{'aut_label': '4DW', 'centralizer': None, 'counter': 386, 'group_counter': 597, 'group_order': 8192, 'label': '4EB', 'order': 4, 'powers': [32], 'representative': 906138201909611780, 'size': 32}
-
id: 168487689
{'aut_label': '4DW', 'centralizer': None, 'counter': 387, 'group_counter': 597, 'group_order': 8192, 'label': '4EC', 'order': 4, 'powers': [32], 'representative': 906138201909976094, 'size': 32}
-
id: 168487690
{'aut_label': '4DW', 'centralizer': None, 'counter': 388, 'group_counter': 597, 'group_order': 8192, 'label': '4ED', 'order': 4, 'powers': [32], 'representative': 906138201910338980, 'size': 32}
-
id: 168487691
{'aut_label': '4DW', 'centralizer': None, 'counter': 389, 'group_counter': 597, 'group_order': 8192, 'label': '4EE', 'order': 4, 'powers': [33], 'representative': 906138201916501478, 'size': 32}
-
id: 168487693
{'aut_label': '4DW', 'centralizer': None, 'counter': 390, 'group_counter': 597, 'group_order': 8192, 'label': '4EF', 'order': 4, 'powers': [33], 'representative': 906138201916864364, 'size': 32}
-
id: 168487694
{'aut_label': '4DW', 'centralizer': None, 'counter': 391, 'group_counter': 597, 'group_order': 8192, 'label': '4EG', 'order': 4, 'powers': [33], 'representative': 906138201917228678, 'size': 32}
-
id: 168487695
{'aut_label': '4DW', 'centralizer': None, 'counter': 392, 'group_counter': 597, 'group_order': 8192, 'label': '4EH', 'order': 4, 'powers': [33], 'representative': 906138201917591564, 'size': 32}
-
id: 168487696
{'aut_label': '4EI', 'centralizer': None, 'counter': 393, 'group_counter': 597, 'group_order': 8192, 'label': '4EI', 'order': 4, 'powers': [34], 'representative': 906138202859934060, 'size': 32}
-
id: 168487697
{'aut_label': '4EI', 'centralizer': None, 'counter': 394, 'group_counter': 597, 'group_order': 8192, 'label': '4EJ', 'order': 4, 'powers': [34], 'representative': 906138202860296946, 'size': 32}
-
id: 168487698
{'aut_label': '4EI', 'centralizer': None, 'counter': 395, 'group_counter': 597, 'group_order': 8192, 'label': '4EK', 'order': 4, 'powers': [34], 'representative': 906138202860661260, 'size': 32}
-
id: 168487699
{'aut_label': '4EI', 'centralizer': None, 'counter': 396, 'group_counter': 597, 'group_order': 8192, 'label': '4EL', 'order': 4, 'powers': [34], 'representative': 906138202861024146, 'size': 32}
-
id: 168487700
{'aut_label': '4EM', 'centralizer': None, 'counter': 397, 'group_counter': 597, 'group_order': 8192, 'label': '4EM', 'order': 4, 'powers': [2], 'representative': 906138202867574780, 'size': 32}
-
id: 168487701
{'aut_label': '4EI', 'centralizer': None, 'counter': 398, 'group_counter': 597, 'group_order': 8192, 'label': '4EN', 'order': 4, 'powers': [35], 'representative': 906138202874464478, 'size': 32}
-
id: 168487702
{'aut_label': '4EI', 'centralizer': None, 'counter': 399, 'group_counter': 597, 'group_order': 8192, 'label': '4EO', 'order': 4, 'powers': [35], 'representative': 906138202874827364, 'size': 32}
-
id: 168487705
{'aut_label': '4EI', 'centralizer': None, 'counter': 400, 'group_counter': 597, 'group_order': 8192, 'label': '4EP', 'order': 4, 'powers': [35], 'representative': 906138202875191678, 'size': 32}
-
id: 168487706
{'aut_label': '4EI', 'centralizer': None, 'counter': 401, 'group_counter': 597, 'group_order': 8192, 'label': '4EQ', 'order': 4, 'powers': [35], 'representative': 906138202875554564, 'size': 32}
-
id: 168487707
{'aut_label': '4EM', 'centralizer': None, 'counter': 402, 'group_counter': 597, 'group_order': 8192, 'label': '4ER', 'order': 4, 'powers': [3], 'representative': 906138203822095026, 'size': 32}
-
id: 168487708
{'aut_label': '4EI', 'centralizer': None, 'counter': 403, 'group_counter': 597, 'group_order': 8192, 'label': '4ES', 'order': 4, 'powers': [36], 'representative': 906138203832673982, 'size': 32}
-
id: 168487709
{'aut_label': '4EI', 'centralizer': None, 'counter': 404, 'group_counter': 597, 'group_order': 8192, 'label': '4ET', 'order': 4, 'powers': [36], 'representative': 906138203833036868, 'size': 32}
-
id: 168487710
{'aut_label': '4EI', 'centralizer': None, 'counter': 405, 'group_counter': 597, 'group_order': 8192, 'label': '4EU', 'order': 4, 'powers': [36], 'representative': 906138203833401182, 'size': 32}
-
id: 168487711
{'aut_label': '4EI', 'centralizer': None, 'counter': 406, 'group_counter': 597, 'group_order': 8192, 'label': '4EV', 'order': 4, 'powers': [36], 'representative': 906138203833764068, 'size': 32}
-
id: 168487712
{'aut_label': '4EM', 'centralizer': None, 'counter': 407, 'group_counter': 597, 'group_order': 8192, 'label': '4EW', 'order': 4, 'powers': [4], 'representative': 906138204790999986, 'size': 32}
-
id: 168487713
{'aut_label': '4EX', 'centralizer': None, 'counter': 408, 'group_counter': 597, 'group_order': 8192, 'label': '4EX', 'order': 4, 'powers': [5], 'representative': 122755329360578429, 'size': 64}
-
id: 168487714
{'aut_label': '4EY', 'centralizer': None, 'counter': 409, 'group_counter': 597, 'group_order': 8192, 'label': '4EY', 'order': 4, 'powers': [2], 'representative': 129178625862734762, 'size': 64}
-
id: 168487716
{'aut_label': '4EX', 'centralizer': None, 'counter': 410, 'group_counter': 597, 'group_order': 8192, 'label': '4EZ', 'order': 4, 'powers': [6], 'representative': 129178625863462084, 'size': 64}
-
id: 168487717
{'aut_label': '4EY', 'centralizer': None, 'counter': 411, 'group_counter': 597, 'group_order': 8192, 'label': '4FA', 'order': 4, 'powers': [3], 'representative': 141920692093678496, 'size': 64}
-
id: 168487718
{'aut_label': '4EX', 'centralizer': None, 'counter': 412, 'group_counter': 597, 'group_order': 8192, 'label': '4FB', 'order': 4, 'powers': [7], 'representative': 141920692094769436, 'size': 64}
-
id: 168487719
{'aut_label': '4EY', 'centralizer': None, 'counter': 413, 'group_counter': 597, 'group_order': 8192, 'label': '4FC', 'order': 4, 'powers': [4], 'representative': 155102049734050976, 'size': 64}
-
id: 168487720
{'aut_label': '4EX', 'centralizer': None, 'counter': 414, 'group_counter': 597, 'group_order': 8192, 'label': '4FD', 'order': 4, 'powers': [8], 'representative': 155102049735146218, 'size': 64}
-
id: 168487721
{'aut_label': '4FE', 'centralizer': None, 'counter': 415, 'group_counter': 597, 'group_order': 8192, 'label': '4FE', 'order': 4, 'powers': [133], 'representative': 1917676891113060540, 'size': 128}
-
id: 168487722
{'aut_label': '4FE', 'centralizer': None, 'counter': 416, 'group_counter': 597, 'group_order': 8192, 'label': '4FF', 'order': 4, 'powers': [134], 'representative': 141920694951215539, 'size': 128}
-
id: 168487723
{'aut_label': '4FE', 'centralizer': None, 'counter': 417, 'group_counter': 597, 'group_order': 8192, 'label': '4FG', 'order': 4, 'powers': [135], 'representative': 1510511202328885340, 'size': 128}
-
id: 168487724
{'aut_label': '4FE', 'centralizer': None, 'counter': 418, 'group_counter': 597, 'group_order': 8192, 'label': '4FH', 'order': 4, 'powers': [136], 'representative': 1144511468532769332, 'size': 128}
-
id: 168487725
{'aut_label': '4FE', 'centralizer': None, 'counter': 419, 'group_counter': 597, 'group_order': 8192, 'label': '4FI', 'order': 4, 'powers': [137], 'representative': 640619393059465376, 'size': 128}
-
id: 168487727
{'aut_label': '4FE', 'centralizer': None, 'counter': 420, 'group_counter': 597, 'group_order': 8192, 'label': '4FJ', 'order': 4, 'powers': [138], 'representative': 1872608845876236422, 'size': 128}
-
id: 168487728
{'aut_label': '4FE', 'centralizer': None, 'counter': 421, 'group_counter': 597, 'group_order': 8192, 'label': '4FK', 'order': 4, 'powers': [139], 'representative': 1568113132915650668, 'size': 128}
-
id: 168487729
{'aut_label': '4FE', 'centralizer': None, 'counter': 422, 'group_counter': 597, 'group_order': 8192, 'label': '4FL', 'order': 4, 'powers': [140], 'representative': 129178630180250419, 'size': 128}
-
id: 168487730
{'aut_label': '4FE', 'centralizer': None, 'counter': 423, 'group_counter': 597, 'group_order': 8192, 'label': '4FM', 'order': 4, 'powers': [141], 'representative': 640619393033352515, 'size': 128}
-
id: 168487731
{'aut_label': '4FE', 'centralizer': None, 'counter': 424, 'group_counter': 597, 'group_order': 8192, 'label': '4FN', 'order': 4, 'powers': [142], 'representative': 1182821357321839574, 'size': 128}
-
id: 168487732
{'aut_label': '4FE', 'centralizer': None, 'counter': 425, 'group_counter': 597, 'group_order': 8192, 'label': '4FO', 'order': 4, 'powers': [143], 'representative': 1163760260851045862, 'size': 128}
-
id: 168487733
{'aut_label': '4FE', 'centralizer': None, 'counter': 426, 'group_counter': 597, 'group_order': 8192, 'label': '4FP', 'order': 4, 'powers': [144], 'representative': 367111275230493338, 'size': 128}
-
id: 168487734
{'aut_label': '4FQ', 'centralizer': None, 'counter': 427, 'group_counter': 597, 'group_order': 8192, 'label': '4FQ', 'order': 4, 'powers': [251], 'representative': 2193602954649113550, 'size': 256}
-
id: 168487735
{'aut_label': '4FQ', 'centralizer': None, 'counter': 428, 'group_counter': 597, 'group_order': 8192, 'label': '4FR', 'order': 4, 'powers': [252], 'representative': 1478350781182741772, 'size': 256}
-
id: 168487736
{'aut_label': '8A', 'centralizer': None, 'counter': 429, 'group_counter': 597, 'group_order': 8192, 'label': '8A', 'order': 8, 'powers': [375], 'representative': 1099504539700256246, 'size': 256}
-
id: 168487738
{'aut_label': '8A', 'centralizer': None, 'counter': 430, 'group_counter': 597, 'group_order': 8192, 'label': '8B', 'order': 8, 'powers': [376], 'representative': 1478350781661824010, 'size': 256}
-
id: 168487739
{'aut_label': '8A', 'centralizer': None, 'counter': 431, 'group_counter': 597, 'group_order': 8192, 'label': '8C', 'order': 8, 'powers': [377], 'representative': 1112351046942893244, 'size': 256}
-
id: 168487740
{'aut_label': '8A', 'centralizer': None, 'counter': 432, 'group_counter': 597, 'group_order': 8192, 'label': '8D', 'order': 8, 'powers': [378], 'representative': 1057590548096433032, 'size': 256}
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id: 168487741
{'aut_label': '8A', 'centralizer': None, 'counter': 433, 'group_counter': 597, 'group_order': 8192, 'label': '8E', 'order': 8, 'powers': [379], 'representative': 711216207675199702, 'size': 256}
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id: 168487742
{'aut_label': '8A', 'centralizer': None, 'counter': 434, 'group_counter': 597, 'group_order': 8192, 'label': '8F', 'order': 8, 'powers': [380], 'representative': 1865996713143156283, 'size': 256}
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group 8192.wy does not appear in gps_qchar
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group 8192.wy does not appear in gps_char
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gps_subgroup_search • Show schema
Hide schema
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id: 255027756
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '8192.wy.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.A', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8192.wy', 'subgroup_hash': None, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^{10}.D_4', 'supersolvable': True, 'sylow': 2}
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id: 255028867
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqt', 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
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id: 255029941
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqt', 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
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id: 255030052
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.C', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqs', 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
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id: 255030163
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.D', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqs', 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
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id: 255030274
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.E', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqs', 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
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id: 255030385
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.F', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqs', 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
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id: 255030496
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.G', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqt', 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
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id: 255030607
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.H', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqt', 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
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id: 255027757
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.I', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqs', 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
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id: 255027868
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.J', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqs', 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
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id: 255027979
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.K', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqt', 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
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id: 255028090
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.L', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqt', 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
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id: 255028201
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.M', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqt', 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
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id: 255028312
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.N', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqt', 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
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id: 255028423
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.O', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqs', 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
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id: 255028534
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.P', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqs', 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
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id: 255028645
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.Q', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028756
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.R', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028868
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.S', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028979
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.T', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.brl', 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029090
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.U', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029201
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.V', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029312
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.W', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029423
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.X', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^8.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029534
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.Y', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029645
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.Z', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029756
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.BA', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029867
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.BB', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.brm', 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^{10}.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029942
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.BC', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029953
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.BD', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029964
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2._.BE', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4096, 'subgroup_tex': 'C_2.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029975
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029986
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029997
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030008
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030019
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030030
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030041
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030053
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030064
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030075
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030086
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030097
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030108
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030119
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030130
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030141
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030152
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cpi', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030164
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030175
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cpi', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030186
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030197
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030208
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030219
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030230
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030241
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030252
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030263
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030275
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030286
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030297
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030308
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030319
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030330
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030341
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030352
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030363
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030374
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030386
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030397
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030408
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030419
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030430
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030441
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030452
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030463
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030474
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030485
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030497
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030508
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030519
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030530
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030541
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030552
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030563
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030574
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030585
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030596
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cpi', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030608
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030619
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cpi', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030630
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030641
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030652
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030663
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030674
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030685
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cqh', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255030696
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030707
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cqh', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255027758
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027769
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027780
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027791
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027802
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027813
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cqh', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255027824
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027835
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cqh', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255027846
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027857
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027869
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027880
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027891
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027902
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cqh', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255027913
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027924
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cqh', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255027935
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027946
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027957
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027968
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027980
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027991
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cqh', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028002
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028013
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cqh', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028024
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028035
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255028046
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028057
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028068
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255028079
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255028091
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028102
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028113
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255028124
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028135
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028146
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028157
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028168
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028179
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028190
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028202
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028213
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255028224
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028235
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028246
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255028257
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028268
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028279
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028290
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028301
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028313
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028324
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028335
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028346
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255028357
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255028368
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028379
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028390
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028401
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028412
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028424
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028435
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028446
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028457
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028468
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028479
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255028490
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255028501
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028512
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028523
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028535
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028546
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028557
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028568
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028579
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028590
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028601
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028612
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255028623
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255028634
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255028646
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028657
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028668
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2048, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255028679
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255028690
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028701
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028712
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028723
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.FY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028734
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.FZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028745
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028757
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028768
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028779
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028790
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028801
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028812
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028823
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028834
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028845
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028856
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028869
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028880
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028891
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028902
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028913
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028924
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028935
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028946
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028957
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028968
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028980
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028991
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029002
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029013
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
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id: 255029024
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.GZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029035
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029046
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029057
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029068
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029079
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029091
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029102
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029113
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029124
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029135
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029146
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029157
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029168
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029179
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029190
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029202
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029213
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029224
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029235
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029246
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029257
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029268
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029279
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029290
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029301
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029313
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.HZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029324
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029335
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029346
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029357
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ID', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029368
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029379
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029390
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029401
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029412
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.II', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.II', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029424
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029435
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029446
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029457
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029468
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029479
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029490
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029501
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029512
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029523
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029535
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029546
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029557
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029568
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029579
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029590
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029601
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.IZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029612
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029623
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029634
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029646
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029657
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029668
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029679
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029690
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029701
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029712
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029723
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029734
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029745
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029757
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029768
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029779
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029790
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029801
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029812
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029823
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029834
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029845
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029856
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029868
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029879
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029890
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.JZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029901
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029912
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029923
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029934
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029938
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029939
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029940
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029943
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029944
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029945
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029946
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029947
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029948
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029949
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029950
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029951
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029952
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029954
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029955
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029956
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029957
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029958
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029959
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029960
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029961
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029962
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.KZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.KZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029963
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029965
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029966
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029967
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029968
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029969
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029970
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029971
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029972
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029973
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029974
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029976
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029977
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029978
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029979
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029980
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029981
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029982
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029983
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029984
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029985
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029987
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029988
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029989
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029990
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029991
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.LZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.LZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029992
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.MA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.MA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029993
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.MB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.MB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029994
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.MC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.MC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029995
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.MD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.MD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029996
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.ME', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ME', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029998
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.MF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.MF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029999
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.MG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.MG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030000
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.MH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.MH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030001
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.MI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.MI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030002
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.MJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.MJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030003
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.MK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.MK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030004
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.ML', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ML', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030005
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.MM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.MM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030006
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.MN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.MN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030007
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.MO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.MO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030009
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.MP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.MP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030010
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.MQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.MQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030011
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.MR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.MR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030012
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.MS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.MS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030013
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.MT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.MT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030014
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.MU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.MU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255030015
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.MV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.MV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030016
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.MW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.MW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030017
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.MX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.MX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030018
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.MY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.MY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030020
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.MZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.MZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030021
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030022
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030023
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030024
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.ND', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ND', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.crm', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255030025
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030026
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030027
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030028
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030029
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030031
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030032
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030033
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030034
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.crm', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255030035
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030036
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030037
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030038
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030039
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cqo', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^{10}.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030040
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030042
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030043
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030044
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cph', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030045
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cph', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030046
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cph', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030047
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cph', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030048
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.NZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.NZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030049
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030050
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030051
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030054
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030055
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030056
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030057
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030058
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030059
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030060
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030061
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030062
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030063
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030065
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.ON', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.ON', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030066
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030067
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030068
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030069
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030070
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030071
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030072
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030073
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030074
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030076
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.crm', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255030077
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030078
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.OZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.OZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030079
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.PA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.PA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030080
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.PB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.PB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030081
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.PC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.PC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030082
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.PD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.PD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030083
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.4._.PE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.PE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': None, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255030084
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030085
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030087
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030088
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030089
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030090
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030091
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030092
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030093
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030094
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030095
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030096
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030098
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030099
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030100
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030101
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030102
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030103
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030104
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030105
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030106
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030107
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030109
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030110
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030111
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030112
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030113
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030114
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030115
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030116
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030117
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030118
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030120
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030121
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030122
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030123
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030124
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030125
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030126
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030127
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030128
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030129
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030131
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030132
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255030133
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030134
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030135
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030136
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030137
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030138
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030139
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030140
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030142
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030143
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030144
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030145
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030146
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030147
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030148
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030149
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030150
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030151
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030153
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255030154
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030155
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030156
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030157
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030158
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030159
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030160
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030161
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030162
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030165
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030166
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030167
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030168
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030169
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030170
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030171
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030172
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030173
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030174
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030176
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030177
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030178
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030179
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030180
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030181
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030182
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030183
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030184
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030185
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030187
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255030188
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030189
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030190
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030191
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030192
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030193
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030194
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030195
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030196
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030198
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030199
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030200
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.djl', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^9.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030201
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.djl', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^9.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030202
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.djl', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^9.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030203
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.djl', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^9.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030204
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030205
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030206
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030207
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.djt', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^{10}', 'supersolvable': True, 'sylow': 0}
-
id: 255030209
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030210
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030211
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030212
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030213
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030214
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030215
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030216
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030217
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030218
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030220
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030221
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030222
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030223
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030224
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030225
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dia', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255030226
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030227
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030228
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030229
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030231
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030232
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030233
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030234
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030235
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030236
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030237
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030238
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030239
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030240
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030242
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030243
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030244
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030245
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030246
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030247
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030248
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030249
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030250
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030251
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030253
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030254
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030255
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030256
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.FZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030257
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030258
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030259
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030260
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030261
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030262
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030264
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030265
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030266
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030267
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030268
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030269
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030270
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030271
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030272
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030273
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030276
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030277
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030278
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030279
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030280
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030281
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030282
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030283
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030284
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030285
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.GZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030287
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030288
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030289
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030290
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030291
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030292
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030293
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030294
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030295
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030296
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030298
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030299
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030300
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030301
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030302
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030303
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030304
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030305
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030306
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030307
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030309
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030310
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030311
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030312
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030313
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030314
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.HZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030315
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030316
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030317
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030318
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ID', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030320
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030321
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030322
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030323
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030324
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.II', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.II', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030325
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030326
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.djl', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^9.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030327
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030328
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030329
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030331
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030332
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030333
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1024, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030334
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030335
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030336
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030337
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030338
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030339
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030340
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030342
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030343
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.IZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030344
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030345
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030346
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030347
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030348
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030349
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030350
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030351
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030353
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^3.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030354
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030355
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030356
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030357
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.djl', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^9.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030358
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030359
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030360
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030361
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030362
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030364
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dia', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255030365
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030366
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030367
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030368
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030369
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.djl', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^9.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030370
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030371
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.JZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030372
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030373
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030375
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030376
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030377
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.djl', 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^9.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030378
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030379
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030380
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.KH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030381
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.KI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030382
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.KJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030383
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.KK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030384
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.KL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030387
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.KM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030388
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.KN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030389
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1024, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.8._.KO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.KO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030390
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030391
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030392
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030393
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030394
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030395
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030396
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030398
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030399
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493114', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030400
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030401
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030402
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.421767', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030403
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030404
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030405
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030406
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030407
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030409
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030410
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030411
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030412
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030413
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493114', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030414
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030415
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.421767', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030416
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030417
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030418
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030420
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030421
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030422
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030423
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030424
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030425
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030426
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030427
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.420649', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030428
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7535005', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255030429
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030431
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030432
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030433
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030434
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030435
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030436
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030437
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030438
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030439
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.420649', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030440
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7535005', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255030442
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030443
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030444
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030445
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030446
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030447
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030448
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030449
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030450
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030451
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030453
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030454
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030455
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030456
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030457
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030458
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030459
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7535005', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255030460
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030461
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.420649', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030462
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030464
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030465
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030466
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030467
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030468
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030469
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030470
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030471
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532419', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030472
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532419', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030473
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030475
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030476
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030477
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030478
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030479
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030480
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030481
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030482
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.421767', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030483
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030484
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030486
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493114', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030487
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030488
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030489
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030490
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030491
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030492
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030493
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030494
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030495
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030498
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.421767', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030499
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030500
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030501
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493114', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030502
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030503
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 805, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030504
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030505
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030506
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030507
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 809, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030509
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 810, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7535005', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255030510
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 811, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030511
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 812, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030512
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 813, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.420649', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030513
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 814, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030514
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 815, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030515
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 816, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030516
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 817, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030517
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 818, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030518
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 819, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030520
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 820, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030521
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 821, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030522
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 822, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030523
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 823, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.420649', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030524
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 824, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7535005', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255030525
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 825, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030526
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 826, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493082', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255030527
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 827, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493082', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255030528
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 828, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030529
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 829, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030531
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 830, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030532
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 831, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532419', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030533
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 832, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10494213', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^9', 'supersolvable': True, 'sylow': 0}
-
id: 255030534
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 833, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030535
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 834, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493114', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030536
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 835, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030537
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 836, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030538
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 837, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030539
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 838, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030540
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 839, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7534881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255030542
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 840, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.420540', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^2\\times C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030543
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 841, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030544
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 842, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030545
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 843, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.420540', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^2\\times C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030546
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 844, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7534881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255030547
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 845, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030548
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 846, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030549
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 847, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493091', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_4^2.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030550
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 848, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.421196', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030551
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 849, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030553
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 850, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030554
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 851, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030555
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 852, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030556
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 853, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030557
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 854, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030558
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 855, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030559
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 856, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255030560
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 857, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255030561
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 858, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.FZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255030562
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 859, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10494213', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^9', 'supersolvable': True, 'sylow': 0}
-
id: 255030564
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 860, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030565
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 861, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.421767', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030566
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 862, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030567
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 863, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493360', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_4^2:C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030568
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 864, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030569
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 865, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7535005', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255030570
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 866, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030571
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 867, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030572
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 868, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.420649', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030573
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 869, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030575
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 870, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030576
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 871, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030577
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 872, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030578
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 873, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030579
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 874, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030580
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 875, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030581
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 876, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030582
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 877, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030583
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 878, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533398', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030584
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 879, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030586
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 880, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030587
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 881, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030588
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 882, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030589
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 883, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030590
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 884, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.GZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030591
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 885, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030592
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 886, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.421767', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030593
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 887, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030594
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 888, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030595
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 889, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532419', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030597
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 890, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532419', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030598
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 891, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030599
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 892, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030600
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 893, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7534881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255030601
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 894, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.420540', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^2\\times C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030602
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 895, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030603
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 896, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030604
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 897, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.421196', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030605
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 898, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493091', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_4^2.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030606
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 899, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030609
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 900, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030610
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 901, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7534881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
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id: 255030611
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 902, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.420540', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^2\\times C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 255030612
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 903, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
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id: 255030613
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 904, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
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id: 255030614
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 905, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493082', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6:D_4', 'supersolvable': True, 'sylow': 0}
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id: 255030615
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 906, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493082', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6:D_4', 'supersolvable': True, 'sylow': 0}
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id: 255030616
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 907, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
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id: 255030617
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 908, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030618
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 909, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532419', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030620
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 910, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.HZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10494213', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^9', 'supersolvable': True, 'sylow': 0}
-
id: 255030621
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 911, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030622
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 912, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493114', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030623
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 913, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030624
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 914, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ID', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030625
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 915, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95264', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^2.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030626
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 916, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95222', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255030627
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 917, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95264', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^2.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030628
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 918, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030629
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 919, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.II', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.II', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030631
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 920, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030632
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 921, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030633
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 922, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030634
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 923, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030635
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 924, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030636
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 925, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030637
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 926, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030638
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 927, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030639
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 928, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7535005', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255030640
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 929, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030642
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 930, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.420649', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030643
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 931, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030644
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 932, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95264', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^2.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030645
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 933, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030646
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 934, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030647
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 935, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030648
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 512, 'counter': 936, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.IZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493082', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255030649
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 937, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030650
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 938, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030651
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 939, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030653
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 940, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030654
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 941, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030655
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 942, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95264', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^2.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030656
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 943, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030657
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 944, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030658
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 945, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030659
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 946, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030660
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 947, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030661
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 948, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030662
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 949, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030664
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 950, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030665
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 951, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030666
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 952, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493114', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030667
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 953, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030668
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 954, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030669
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 955, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.421767', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255030670
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 956, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7535005', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255030671
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 957, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030672
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 958, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030673
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 959, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.420649', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030675
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 960, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030676
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 961, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030677
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 962, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.JZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030678
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 963, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030679
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 964, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030680
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 965, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030681
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 966, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030682
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 967, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030683
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 968, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030684
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 969, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030686
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 970, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030687
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 971, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030688
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 972, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030689
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 973, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030690
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 974, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.420649', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030691
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 975, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7535005', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255030692
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 976, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030693
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 977, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030694
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 978, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030695
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 979, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030697
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 980, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030698
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 981, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030699
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 982, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030700
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 983, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030701
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 984, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030702
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 985, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255030703
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 986, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255030704
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 987, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255030705
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 988, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.KZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.KZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10494213', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^9', 'supersolvable': True, 'sylow': 0}
-
id: 255030706
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 989, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030708
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 990, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030709
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 991, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255030710
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 992, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030711
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 993, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030712
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 994, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255030713
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 995, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255030714
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 996, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030715
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 997, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030716
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 998, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255030717
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 999, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027759
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1000, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.421767', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255027760
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1001, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027761
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1002, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027762
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1003, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493114', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027763
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1004, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027764
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1005, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027765
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1006, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027766
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1007, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027767
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1008, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255027768
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1009, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255027770
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1010, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10494213', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^9', 'supersolvable': True, 'sylow': 0}
-
id: 255027771
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1011, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027772
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1012, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 255027773
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1013, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95222', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255027774
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1014, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.LZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.LZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027775
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1015, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.MA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
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id: 255027776
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1016, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.MB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532419', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027777
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1017, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.MC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532419', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027778
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1018, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.MD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027779
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1019, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.ME', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ME', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027781
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1020, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.MF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493114', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027782
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1021, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.MG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027783
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1022, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.MH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027784
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1023, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.MI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.421767', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255027785
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1024, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.MJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027786
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1025, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.MK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027787
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1026, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.ML', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ML', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027788
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1027, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.MM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027789
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1028, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.MN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027790
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1029, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.MO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027792
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1030, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.MP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027793
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1031, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.MQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027794
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1032, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.MR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493082', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255027795
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1033, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.MS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493082', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255027796
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1034, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.MT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027797
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1035, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.MU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027798
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1036, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.MV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532419', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027799
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1037, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.MW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10494213', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^9', 'supersolvable': True, 'sylow': 0}
-
id: 255027800
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1038, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.MX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027801
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1039, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.MY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027803
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1040, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.MZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.MZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027804
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1041, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027805
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1042, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027806
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1043, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493114', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027807
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1044, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.ND', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ND', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027808
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1045, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493114', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027809
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1046, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027810
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1047, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027811
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1048, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.421767', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255027812
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1049, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027814
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1050, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027815
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1051, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027816
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1052, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027817
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1053, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027818
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1054, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027819
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1055, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027820
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1056, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027821
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1057, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027822
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1058, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.421767', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255027823
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1059, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027825
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1060, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027826
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1061, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027827
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1062, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027828
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1063, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027829
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1064, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027830
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1065, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027831
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1066, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.NZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.NZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027832
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1067, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7535005', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255027833
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1068, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027834
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1069, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.420649', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027836
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1070, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027837
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1071, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95264', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^2.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027838
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1072, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027839
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1073, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027840
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1074, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027841
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1075, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493091', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_4^2.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027842
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1076, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.421196', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027843
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1077, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027844
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1078, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027845
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1079, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.420540', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^2\\times C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255027847
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1080, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.ON', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ON', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7534881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255027848
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1081, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027849
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1082, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027850
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1083, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7534881', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255027851
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1084, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.420540', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^2\\times C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 255027852
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1085, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027853
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1086, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95264', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^2.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027854
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1087, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027855
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1088, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027856
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1089, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027858
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1090, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027859
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1091, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027860
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1092, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.OZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.OZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027861
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1093, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027862
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1094, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027863
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1095, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027864
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1096, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493082', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255027865
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1097, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.421196', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027866
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1098, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027867
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1099, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027870
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.421196', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027871
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493082', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255027872
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027873
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027874
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493082', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255027875
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.421196', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027876
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027877
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027878
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027879
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027881
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7535005', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255027882
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027883
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027884
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.420649', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027885
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027886
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027887
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027888
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027889
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.PZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.PZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027890
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027892
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7535005', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255027893
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515989', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027894
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.420649', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027895
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027896
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027897
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027898
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027899
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027900
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027901
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027903
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027904
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027905
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 255027906
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255027907
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
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id: 255027908
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
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id: 255027909
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 255027910
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10494213', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^9', 'supersolvable': True, 'sylow': 0}
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id: 255027911
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
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id: 255027912
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 255027914
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 255027915
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 255027916
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 255027917
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 255027918
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.QZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.QZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
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id: 255027919
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.RA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027920
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.RB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
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id: 255027921
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.RC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027922
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.RD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
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id: 255027923
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.RE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
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id: 255027925
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.RF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493114', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027926
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.RG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255027927
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.RH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027928
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 1153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.16._.RI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.RI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.421767', 'subgroup_hash': None, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255027929
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027930
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027931
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027932
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027933
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027934
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027936
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027937
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027938
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027939
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027940
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027941
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027942
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027943
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027944
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027945
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027947
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027948
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027949
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027950
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027951
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027952
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027953
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027954
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027955
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255027956
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255027958
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027959
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027960
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027961
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027962
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255027963
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255027964
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027965
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027966
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255027967
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255027969
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255027970
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255027971
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027972
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027973
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027974
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027975
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027976
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027977
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027978
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027981
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027982
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027983
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027984
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027985
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027986
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027987
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027988
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027989
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027990
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027992
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027993
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027994
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027995
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027996
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027997
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027998
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255027999
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028000
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028001
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028003
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028004
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028005
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028006
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028007
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028008
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028009
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028010
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028011
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028012
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028014
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028015
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028016
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028017
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028018
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028019
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55652', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028020
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55652', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028021
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028022
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028023
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6748', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028025
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028026
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6748', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028027
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028028
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028029
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6748', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028030
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6748', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028031
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26974', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028032
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55626', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028033
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56083', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4\\times C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255028034
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26974', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028036
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028037
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028038
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028039
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028040
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028041
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028042
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028043
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028044
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028045
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028047
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028048
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028049
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028050
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028051
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028052
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028053
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55652', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028054
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028055
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028056
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55652', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028058
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028059
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6748', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028060
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028061
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6748', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028062
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6748', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028063
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6748', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028064
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028065
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028066
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56083', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4\\times C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255028067
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26974', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028069
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26974', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028070
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55626', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028071
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028072
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028073
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028074
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028075
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028076
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028077
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028078
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028080
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028081
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028082
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028083
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028084
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028085
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028086
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028087
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028088
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028089
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028092
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028093
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028094
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028095
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028096
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028097
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028098
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028099
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028100
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028101
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.FZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028103
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028104
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028105
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028106
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028107
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028108
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028109
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028110
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028111
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028112
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028114
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028115
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028116
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028117
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028118
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028119
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028120
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028121
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028122
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028123
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028125
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028126
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028127
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028128
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028129
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028130
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.GZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028131
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028132
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028133
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028134
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028136
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028137
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028138
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028139
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028140
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028141
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028142
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028143
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028144
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028145
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028147
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028148
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028149
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028150
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028151
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028152
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028153
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028154
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028155
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028156
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028158
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028159
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.HZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028160
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028161
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028162
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028163
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ID', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028164
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028165
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028166
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028167
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028169
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.II', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.II', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028170
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028171
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028172
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028173
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028174
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028175
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028176
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028177
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028178
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55652', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028180
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55652', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028181
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028182
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6748', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028183
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028184
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6748', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028185
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028186
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6748', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028187
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.IZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6748', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028188
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028189
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028191
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26974', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028192
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56083', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4\\times C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255028193
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55626', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028194
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26974', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028195
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028196
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028197
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028198
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028199
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028200
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028203
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028204
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028205
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028206
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028207
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028208
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028209
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55627', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028210
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55627', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028211
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 1408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028212
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55627', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028214
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028215
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028216
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028217
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.JZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028218
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028219
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028220
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028221
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028222
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028223
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028225
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028226
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028227
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028228
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028229
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028230
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028231
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028232
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028233
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028234
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028236
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028237
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028238
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028239
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028240
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028241
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028242
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028243
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028244
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028245
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.KZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.KZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028247
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028248
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028249
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028250
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028251
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028252
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028253
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028254
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028255
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028256
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028258
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028259
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028260
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028261
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028262
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028263
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028264
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028265
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028266
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028267
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028269
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028270
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028271
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028272
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028273
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028274
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.LZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.LZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028275
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.MA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028276
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.MB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028277
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.MC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028278
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.MD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028280
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ME', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ME', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028281
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.MF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028282
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.MG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028283
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.MH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028284
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.MI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028285
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.MJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028286
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.MK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028287
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ML', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ML', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028288
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.MM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028289
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.MN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028291
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.MO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028292
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.MP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028293
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.MQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028294
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.MR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028295
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.MS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028296
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.MT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028297
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.MU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028298
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.MV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028299
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.MW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028300
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.MX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028302
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.MY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028303
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.MZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.MZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028304
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028305
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028306
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028307
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ND', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ND', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028308
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028309
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028310
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028311
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028314
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028315
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028316
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55627', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028317
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55627', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028318
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028319
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028320
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028321
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028322
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028323
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028325
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028326
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028327
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028328
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028329
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028330
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028331
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028332
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.NZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.NZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028333
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028334
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028336
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028337
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028338
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028339
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028340
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028341
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 1525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028342
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028343
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028344
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028345
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028347
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028348
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ON', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ON', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028349
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028350
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028351
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028352
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028353
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028354
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028355
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028356
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028358
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028359
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028360
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028361
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.OZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.OZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028362
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028363
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028364
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028365
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028366
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028367
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028369
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028370
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028371
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028372
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028373
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55627', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028374
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55627', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028375
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028376
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028377
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028378
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028380
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028381
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6748', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028382
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028383
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028384
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028385
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55652', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028386
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028387
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028388
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028389
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.PZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.PZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6748', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028391
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028392
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028393
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028394
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028395
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028396
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028397
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028398
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028399
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028400
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028402
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028403
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028404
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028405
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028406
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028407
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028408
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028409
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028410
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028411
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028413
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028414
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028415
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028416
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028417
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028418
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.QZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.QZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028419
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028420
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028421
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028422
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028425
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028426
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028427
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028428
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028429
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028430
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028431
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028432
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028433
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028434
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028436
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028437
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028438
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028439
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028440
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028441
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028442
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028443
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028444
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028445
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028447
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028448
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.RZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.RZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028449
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028450
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028451
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028452
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028453
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028454
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028455
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028456
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028458
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028459
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028460
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028461
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028462
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028463
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028464
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028465
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028466
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028467
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028469
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028470
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ST', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ST', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028471
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028472
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028473
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028474
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028475
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028476
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.SZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.SZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028477
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028478
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028480
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028481
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028482
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028483
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028484
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028485
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028486
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028487
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028488
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028489
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028491
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028492
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028493
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028494
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028495
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028496
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028497
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028498
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028499
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028500
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028502
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028503
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028504
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028505
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.TZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.TZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028506
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028507
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028508
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028509
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
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id: 255028510
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
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id: 255028511
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
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id: 255028513
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
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id: 255028514
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
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id: 255028515
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028516
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
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id: 255028517
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028518
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028519
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
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id: 255028520
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028521
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
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id: 255028522
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028524
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
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id: 255028525
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
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id: 255028526
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.US', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.US', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028527
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028528
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028529
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028530
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028531
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028532
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028533
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.UZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.UZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028536
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028537
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028538
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55627', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028539
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55627', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028540
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028541
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028542
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028543
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028544
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028545
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028547
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028548
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028549
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028550
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028551
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028552
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028553
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028554
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028555
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028556
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028558
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028559
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028560
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028561
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028562
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028563
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.VZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.VZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028564
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028565
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028566
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028567
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028569
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028570
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028571
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028572
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028573
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028574
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028575
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028576
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028577
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028578
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028580
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8255', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028581
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028582
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028583
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028584
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028585
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028586
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028587
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028588
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028589
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028591
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028592
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.WZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.WZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028593
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028594
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028595
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028596
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028597
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028598
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028599
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028600
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028602
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028603
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028604
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028605
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028606
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028607
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028608
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028609
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028610
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
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id: 255028611
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028613
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
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id: 255028614
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
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id: 255028615
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
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id: 255028616
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028617
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
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id: 255028618
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6748', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028619
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028620
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.XZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.XZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028621
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6748', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028622
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028624
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028625
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028626
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028627
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028628
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55652', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028629
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028630
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028631
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028632
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028633
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028635
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028636
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028637
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028638
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028639
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028640
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028641
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028642
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028643
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028644
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028647
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028648
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028649
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028650
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.YZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.YZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028651
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028652
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1805, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028653
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028654
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028655
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028656
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1809, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028658
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1810, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028659
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1811, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028660
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1812, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028661
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1813, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028662
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1814, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028663
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1815, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028664
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1816, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028665
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1817, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028666
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1818, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028667
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1819, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028669
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1820, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028670
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1821, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028671
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1822, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028672
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1823, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028673
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1824, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028674
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1825, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6748', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028675
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1826, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028676
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1827, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028677
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1828, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028678
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1829, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.ZZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ZZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028680
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1830, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028681
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1831, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55652', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028682
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1832, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028683
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1833, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6748', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028684
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1834, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028685
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1835, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028686
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1836, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028687
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1837, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028688
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1838, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028689
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1839, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028691
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1840, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028692
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1841, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6748', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028693
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1842, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028694
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1843, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028695
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1844, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6748', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028696
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1845, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028697
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1846, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028698
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1847, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028699
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1848, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55652', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028700
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1849, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028702
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1850, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028703
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1851, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028704
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1852, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028705
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1853, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55652', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028706
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1854, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028707
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1855, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BAZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BAZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028708
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1856, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028709
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1857, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6748', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028710
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1858, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028711
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1859, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028713
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1860, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028714
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1861, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028715
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1862, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6748', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028716
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1863, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028717
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1864, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028718
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1865, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028719
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1866, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028720
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1867, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028721
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1868, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028722
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1869, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028724
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1870, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028725
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1871, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028726
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1872, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028727
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1873, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028728
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1874, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028729
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1875, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028730
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1876, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55652', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028731
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1877, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028732
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1878, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6748', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028733
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1879, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028735
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1880, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028736
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1881, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BBZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BBZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028737
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1882, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27519', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028738
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1883, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6748', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028739
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1884, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028740
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1885, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028741
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1886, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028742
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1887, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028743
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1888, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028744
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1889, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028746
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1890, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028747
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1891, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028748
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1892, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028749
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1893, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028750
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1894, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028751
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1895, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028752
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1896, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028753
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1897, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028754
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1898, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028755
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1899, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028758
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1900, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028759
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1901, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55627', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028760
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1902, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028761
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1903, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56083', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4\\times C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255028762
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1904, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028763
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1905, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55627', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028764
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1906, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028765
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1907, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BCZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BCZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56083', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4\\times C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255028766
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1908, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BDA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BDA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028767
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1909, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BDB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BDB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55627', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028769
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1910, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BDC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BDC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028770
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1911, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BDD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BDD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56083', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'D_4\\times C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255028771
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 1912, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BDE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BDE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028772
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 256, 'counter': 1913, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BDF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BDF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028773
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1914, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BDG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BDG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028774
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1915, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BDH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BDH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028775
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1916, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BDI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BDI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028776
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1917, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BDJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BDJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028777
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1918, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BDK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BDK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028778
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1919, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BDL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BDL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028780
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1920, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BDM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BDM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028781
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1921, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BDN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BDN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028782
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1922, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BDO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BDO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028783
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1923, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BDP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BDP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028784
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 1924, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.32._.BDQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.BDQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': None, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
-
id: 255028785
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1925, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255028786
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1926, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028787
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1927, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028788
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1928, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028789
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1929, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255028791
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1930, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028792
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1931, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028793
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1932, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028794
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1933, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028795
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1934, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255028796
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1935, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028797
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1936, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028798
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1937, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028799
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1938, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028800
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1939, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255028802
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1940, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028803
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1941, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255028804
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1942, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028805
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1943, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028806
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1944, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255028807
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1945, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028808
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1946, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028809
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1947, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028810
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1948, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028811
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1949, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255028813
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1950, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028814
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1951, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028815
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1952, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028816
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1953, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255028817
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1954, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255028818
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1955, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028819
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1956, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028820
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1957, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028821
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1958, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028822
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1959, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255028824
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1960, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028825
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1961, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028826
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1962, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028827
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1963, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028828
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1964, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028829
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1965, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255028830
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1966, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028831
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1967, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028832
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1968, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028833
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1969, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028835
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1970, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255028836
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1971, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028837
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1972, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028838
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1973, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028839
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1974, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028840
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1975, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255028841
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1976, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028842
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1977, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028843
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1978, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028844
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1979, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028846
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1980, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255028847
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1981, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255028848
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1982, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255028849
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1983, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028850
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1984, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028851
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1985, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028852
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1986, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028853
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1987, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028854
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1988, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028855
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1989, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028857
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1990, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028858
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1991, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028859
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1992, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028860
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1993, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.998', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028861
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1994, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2150', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028862
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1995, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028863
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1996, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.998', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028864
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1997, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028865
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1998, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255028866
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 1999, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255028870
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2000, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028871
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2001, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028872
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2002, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028873
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2003, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028874
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2004, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028875
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2005, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028876
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2006, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028877
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2007, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028878
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2008, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028879
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2009, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028881
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2010, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255028882
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2011, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255028883
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2012, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028884
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2013, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255028885
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2014, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255028886
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2015, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028887
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2016, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028888
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2017, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028889
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2018, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028890
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2019, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028892
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2020, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028893
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2021, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028894
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2022, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028895
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2023, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028896
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2024, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028897
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2025, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028898
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2026, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.998', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028899
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2027, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.998', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028900
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2028, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2150', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028901
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2029, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028903
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2030, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028904
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2031, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028905
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2032, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028906
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2033, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028907
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2034, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028908
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2035, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255028909
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2036, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255028910
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2037, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028911
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2038, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028912
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2039, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028914
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2040, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028915
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2041, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255028916
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2042, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028917
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2043, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028918
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2044, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255028919
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2045, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028920
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2046, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028921
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2047, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028922
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2048, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028923
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2049, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028925
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2050, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028926
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2051, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028927
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2052, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028928
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2053, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255028929
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2054, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255028930
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2055, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028931
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2056, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028932
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2057, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.998', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028933
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2058, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028934
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2059, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2150', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028936
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2060, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.998', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028937
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2061, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028938
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2062, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028939
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2063, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028940
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2064, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028941
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2065, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028942
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2066, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028943
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2067, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028944
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2068, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028945
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2069, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255028947
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2070, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028948
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2071, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255028949
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2072, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028950
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2073, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028951
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2074, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255028952
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2075, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255028953
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2076, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028954
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2077, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028955
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2078, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028956
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2079, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028958
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2080, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.FZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028959
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2081, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028960
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2082, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028961
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2083, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028962
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2084, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255028963
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2085, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028964
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2086, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028965
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2087, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028966
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2088, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255028967
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2089, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028969
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2090, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255028970
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2091, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028971
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 2092, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255028972
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2093, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028973
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2094, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028974
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2095, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028975
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2096, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028976
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2097, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028977
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2098, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028978
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2099, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028981
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028982
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028983
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028984
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028985
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028986
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028987
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.GZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028988
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255028989
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028990
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028992
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028993
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028994
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028995
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028996
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028997
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028998
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255028999
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029000
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029001
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
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id: 255029003
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029004
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029005
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029006
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029007
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029008
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029009
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029010
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029011
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029012
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029014
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029015
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029016
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.HZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029017
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029018
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029019
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029020
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ID', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029021
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029022
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029023
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029025
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029026
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.II', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.II', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029027
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029028
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029029
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029030
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029031
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029032
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029033
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029034
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029036
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029037
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029038
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029039
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029040
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029041
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029042
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029043
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029044
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.IZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029045
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029047
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029048
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029049
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029050
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029051
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029052
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029053
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029054
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029055
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029056
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029058
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029059
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029060
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029061
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029062
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029063
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029064
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029065
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029066
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029067
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029069
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029070
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029071
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029072
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029073
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.JZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029074
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029075
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029076
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029077
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029078
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029080
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029081
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029082
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029083
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029084
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029085
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029086
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029087
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029088
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029089
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029092
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029093
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029094
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029095
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029096
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029097
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029098
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029099
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029100
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029101
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029103
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.KZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.KZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029104
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029105
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029106
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029107
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029108
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029109
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029110
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029111
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2150', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029112
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.998', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029114
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029115
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.998', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029116
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029117
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029118
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029119
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029120
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029121
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029122
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029123
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029125
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029126
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029127
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029128
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029129
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029130
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029131
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.LZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.LZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029132
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.MA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.MA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029133
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.MB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.MB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029134
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.MC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.MC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029136
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.MD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.MD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029137
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.ME', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ME', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029138
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.MF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.MF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029139
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.MG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.MG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029140
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.MH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.MH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029141
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.MI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.MI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029142
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.MJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.MJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029143
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.MK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.MK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029144
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.ML', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ML', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029145
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.MM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.MM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029147
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.MN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.MN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029148
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.MO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.MO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029149
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.MP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.MP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029150
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.MQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.MQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029151
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.MR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.MR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029152
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.MS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.MS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029153
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.MT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.MT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029154
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.MU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.MU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029155
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.MV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.MV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029156
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.MW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.MW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029158
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.MX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.MX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029159
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.MY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.MY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029160
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.MZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.MZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029161
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029162
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029163
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029164
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.ND', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ND', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029165
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029166
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029167
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029169
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029170
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029171
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029172
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029173
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029174
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029175
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029176
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029177
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029178
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029180
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029181
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029182
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.998', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029183
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029184
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.998', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029185
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2150', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029186
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029187
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029188
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.NZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.NZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029189
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029191
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029192
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029193
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029194
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029195
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029196
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029197
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029198
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029199
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029200
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029203
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029204
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029205
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.ON', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ON', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029206
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029207
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029208
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029209
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029210
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029211
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029212
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029214
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029215
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029216
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2319', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029217
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029218
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.OZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.OZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029219
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029220
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2319', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029221
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029222
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029223
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029225
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2319', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029226
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029227
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029228
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029229
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 128, 'counter': 2324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029230
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029231
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029232
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029233
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029234
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029236
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029237
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029238
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029239
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029240
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029241
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029242
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029243
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029244
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029245
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029247
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.PZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.PZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029248
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029249
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029250
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029251
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029252
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029253
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029254
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.998', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029255
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2150', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029256
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.998', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029258
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029259
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029260
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029261
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029262
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029263
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029264
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029265
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029266
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029267
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029269
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029270
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029271
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029272
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029273
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1116', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029274
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.169', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029275
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.QZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.QZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
-
id: 255029276
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.RA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.RA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029277
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.RB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.RB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029278
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.RC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.RC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029280
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.RD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.RD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029281
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 128, 'counter': 2371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.64._.RE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.RE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029282
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029283
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029284
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029285
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029286
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029287
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029288
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029289
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029291
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029292
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029293
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029294
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029295
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029296
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029297
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029298
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029299
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029300
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029302
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029303
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029304
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029305
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029306
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029307
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029308
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029309
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029310
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029311
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029314
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029315
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029316
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029317
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029318
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029319
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029320
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029321
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029322
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029323
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029325
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029326
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029327
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029328
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029329
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029330
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029331
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029332
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029333
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029334
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029336
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029337
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029338
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029339
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029340
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029341
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029342
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029343
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029344
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029345
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029347
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029348
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029349
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029350
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029351
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029352
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029353
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029354
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029355
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029356
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029358
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029359
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029360
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029361
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029362
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029363
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029364
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029365
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029366
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029367
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029369
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029370
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029371
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1758', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029372
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1758', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029373
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029374
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029375
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
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id: 255029376
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
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id: 255029377
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
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id: 255029378
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
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id: 255029380
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
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id: 255029381
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
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id: 255029382
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
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id: 255029383
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
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id: 255029384
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
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id: 255029385
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1758', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
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id: 255029386
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1758', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
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id: 255029387
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
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id: 255029388
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
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id: 255029389
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
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id: 255029391
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
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id: 255029392
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
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id: 255029393
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029394
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029395
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029396
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029397
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029398
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029399
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029400
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029402
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029403
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029404
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029405
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029406
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1758', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029407
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1758', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029408
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029409
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029410
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029411
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029413
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029414
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029415
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029416
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029417
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
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id: 255029418
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
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id: 255029419
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
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id: 255029420
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
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id: 255029421
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
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id: 255029422
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029425
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
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id: 255029426
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
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id: 255029427
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
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id: 255029428
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
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id: 255029429
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029430
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029431
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029432
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029433
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029434
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029436
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1758', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029437
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1758', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029438
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029439
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029440
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029441
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029442
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1758', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029443
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1758', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029444
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029445
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029447
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029448
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029449
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029450
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029451
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029452
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029453
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029454
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.FZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029455
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029456
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029458
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029459
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029460
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029461
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029462
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029463
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029464
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029465
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029466
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029467
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029469
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029470
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029471
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029472
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029473
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029474
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029475
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029476
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029477
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1758', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029478
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1758', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029480
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029481
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029482
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029483
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.GZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029484
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029485
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029486
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029487
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029488
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1758', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029489
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1758', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029491
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1758', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029492
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1758', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029493
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029494
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029495
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 2564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029496
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029497
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029498
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029499
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029500
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029502
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029503
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029504
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1758', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029505
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1758', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029506
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 2574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029507
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029508
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029509
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029510
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029511
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.HZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029513
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.IA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029514
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 64, 'counter': 2581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.IB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029515
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.IC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029516
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.ID', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029517
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.IE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029518
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.IF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029519
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.IG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029520
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.IH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029521
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.II', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.II', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029522
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.IJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 255029524
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.IK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 255029525
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.IL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029526
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.IM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 255029527
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.IN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029528
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.IO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029529
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.IP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029530
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.IQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029531
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.IR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029532
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.IS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029533
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.IT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029536
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.IU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029537
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.IV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029538
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.IW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029539
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.IX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029540
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.IY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.56', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029541
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.IZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029542
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.JA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029543
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.JB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029544
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.JC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029545
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.JD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1578', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029547
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 64, 'counter': 2610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.128._.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.JE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
-
id: 255029548
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029549
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029550
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029551
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029552
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029553
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029554
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029555
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029556
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029558
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029559
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029560
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029561
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029562
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029563
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029564
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029565
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029566
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029567
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029569
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.29598', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029570
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029571
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029572
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029573
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029574
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029575
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029576
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029577
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029578
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029580
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.29598', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029581
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029582
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029583
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.29598', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029584
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.29598', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029585
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029586
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029587
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53383', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029588
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029589
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53383', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029591
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029592
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029593
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029594
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029595
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029596
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029597
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029598
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029599
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029600
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029602
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53383', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029603
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53380', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029604
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029605
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029606
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029607
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029608
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029609
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029610
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029611
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029613
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029614
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029615
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029616
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029617
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029618
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029619
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029620
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029621
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029622
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029624
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029625
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029626
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029627
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029628
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029629
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029630
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029631
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029632
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029633
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029635
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029636
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029637
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029638
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029639
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029640
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029641
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029642
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029643
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029644
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.29598', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029647
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029648
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.29598', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029649
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.29598', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029650
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029651
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.29598', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029652
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 32, 'counter': 2705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.29598', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029653
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029654
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029655
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53383', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029656
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53380', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029658
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029659
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029660
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53383', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029661
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.29598', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029662
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.29598', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029663
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.29598', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029664
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029665
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.29598', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029666
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029667
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029669
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029670
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029671
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029672
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029673
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029674
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029675
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029676
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029677
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029678
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029680
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53383', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029681
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029682
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029683
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029684
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.29598', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029685
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029686
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.29598', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 255029687
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029688
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029689
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53383', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029691
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53383', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029692
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.25886', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029693
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53383', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029694
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.53380', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029695
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029696
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 32, 'counter': 2745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.256._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 255029697
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029698
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029699
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029700
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029702
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029703
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029704
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029705
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029706
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029707
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029708
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029709
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029710
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029711
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029713
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029714
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029715
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029716
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029717
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029718
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029719
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029720
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029721
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029722
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029724
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418986', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029725
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418986', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029726
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029727
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029728
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029729
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029730
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029731
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029732
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418986', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029733
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418986', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029735
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029736
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029737
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418986', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029738
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418986', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029739
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029740
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029741
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029742
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029743
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029744
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029746
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418986', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029747
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418986', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029748
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029749
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029750
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418986', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029751
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418986', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029752
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029753
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029754
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029755
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029758
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029759
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029760
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418986', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029761
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418986', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029762
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029763
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2805, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029764
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.254238', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029765
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029766
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029767
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2809, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029769
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2810, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.7530050', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029770
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2811, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.7530050', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029771
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2812, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.7530050', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029772
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2813, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.7530050', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029773
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2814, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6536088', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029774
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16, 'counter': 2815, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6249567', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029775
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2816, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6536083', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029776
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2817, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.254238', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029777
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2818, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.7530050', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029778
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2819, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.7530050', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029780
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2820, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.7530050', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029781
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2821, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.7530050', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029782
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2822, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.7530050', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029783
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2823, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.7530050', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029784
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2824, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.7530050', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029785
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2825, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.7530050', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029786
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2826, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6536088', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029787
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2827, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6536088', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029788
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2828, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6536083', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029789
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2829, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6536088', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029791
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2830, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6536083', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029792
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2831, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6536083', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029793
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2832, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6536083', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029794
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2833, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6536088', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029795
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2834, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6536088', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029796
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2835, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6536088', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029797
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2836, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.254238', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029798
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2837, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6536088', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029799
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2838, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6536088', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029800
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2839, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6536083', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029802
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2840, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6536083', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029803
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2841, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6536083', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029804
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2842, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.6536083', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029805
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2843, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029806
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2844, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029807
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2845, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029808
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2846, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029809
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2847, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029810
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2848, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029811
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2849, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029813
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2850, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029814
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2851, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029815
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2852, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 255029816
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2853, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029817
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2854, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029818
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2855, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029819
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2856, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029820
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2857, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029821
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2858, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029822
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2859, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029824
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2860, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029825
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2861, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029826
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2862, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029827
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2863, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.418967', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029828
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 2864, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.512._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.254238', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
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id: 255029829
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2865, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 255029830
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2866, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 255029831
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2867, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 255029832
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2868, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 255029833
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2869, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029835
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2870, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.diu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029836
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2871, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029837
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2872, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029838
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2873, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 255029839
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2874, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 255029840
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2875, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 255029841
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2876, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 255029842
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2877, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.diu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 255029843
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2878, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.diu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029844
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2879, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 255029846
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2880, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 255029847
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2881, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.diu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029848
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2882, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 255029849
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2883, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 255029850
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2884, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029851
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2885, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029852
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2886, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 255029853
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2887, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 255029854
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2888, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029855
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2889, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029857
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2890, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029858
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2891, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029859
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2892, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029860
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2893, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029861
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2894, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029862
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2895, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.diu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029863
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2896, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.diu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029864
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2897, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.dhz', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029865
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2898, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.dhz', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029866
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2899, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.diu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029869
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2900, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.diu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029870
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2901, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.diu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029871
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2902, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.diu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029872
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2903, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.dhz', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029873
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2904, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.dhz', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029874
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2905, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.diu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029875
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2906, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.diu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029876
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2907, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.diu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029877
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2908, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.diu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029878
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2909, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.dhz', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029880
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2910, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.dhz', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029881
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2911, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.diu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 255029882
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2912, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.diu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 255029883
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2913, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 255029884
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2914, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029885
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2915, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.diu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 255029886
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2916, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.diu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029887
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2917, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029888
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8, 'counter': 2918, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1024.dia', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029889
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8, 'counter': 2919, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.1024._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 255029891
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2920, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2048.clu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029892
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2921, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2048.clu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 255029893
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2922, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2048.clu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029894
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2923, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2048.clu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029895
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2924, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2048.clu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 255029896
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2925, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2048.clu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029897
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2926, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2048.clu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029898
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2927, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2048.clu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029899
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2928, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2048.clu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029900
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2929, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2048.clu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029902
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2930, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2048.clu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 255029903
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2931, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2048.clu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 255029904
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2932, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2048.clu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029905
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2933, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2048.clu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029906
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2934, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2048.clu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029907
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2935, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2048.cpk', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^8.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029908
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2936, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029909
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2937, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029910
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2938, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029911
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2939, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029913
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2940, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029914
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2941, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029915
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2942, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029916
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2943, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029917
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2944, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029918
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2945, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029919
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2946, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 255029920
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2947, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 255029921
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2948, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2048.crm', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^8.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 255029922
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2949, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2048.cpk', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^8.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 255029924
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2950, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2048.crm', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^8.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 255029925
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4, 'counter': 2951, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6.C_2^5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 255029926
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2952, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2048.cpk', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^8.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 255029927
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2953, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2048.crm', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^8.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 255029928
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4, 'counter': 2954, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '8192.wy.2048._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2048.clu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 255029929
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 2955, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '8192.wy.4096._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '4096.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^6.C_2', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 255029930
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 2956, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '8192.wy.4096._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '4096.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4096.bqs', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^9.D_4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 255029931
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 2957, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '8192.wy.4096._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '4096.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4096.bqs', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^9.D_4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 255029932
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 2958, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '8192.wy.4096._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '4096.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4096.bqs', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^9.D_4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 255029933
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 2959, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '8192.wy.4096._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '4096.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^6.C_2', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 255029935
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 2960, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '8192.wy.4096._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '4096.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^6.C_2', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 255029936
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 2961, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '8192.wy.4096._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '4096.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4096.bqs', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^9.D_4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 255029937
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '8192.wy', 'ambient_counter': 597, 'ambient_order': 8192, 'ambient_tex': 'C_2^{10}.D_4', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1, 'counter': 2962, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '8192.wy.8192.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8192.A', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '8192.wy', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^{10}.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': None, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
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gps_subgroup_data • Show schema
Hide schema
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id: 255027756
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 1134021, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.1.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027757
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 23336182, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 861174516873778650, 3408417444], 'label': '8192.wy.2._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.I', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027758
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 3314457, 861174516888672546, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CP', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027759
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 12055774, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.LL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027760
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 4857382362, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.LM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027761
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 945036115450381694, 494447461208680350, 3314457, 776196453793973340, 861174516873415764, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.LN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027762
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 12055774, 776196453793973340, 861174516873415764, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.LO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027763
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 12055774, 3411000111, 507231460158158244, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350], 'label': '8192.wy.16._.LP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027764
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 3411000111, 507231460158158244, 3398266123, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350], 'label': '8192.wy.16._.LQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027765
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 3398266123, 776196453793973340, 861174516873415764, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.LR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027766
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 12055774, 776196453793973340, 861174516873415764, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.LS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027767
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 4863547740, 776196453793973340, 22207928, 945036115457634278, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.LT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027768
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 507231460158158244, 11289680, 3314457, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.LU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027769
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516865795230, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027770
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 3314457, 4863547740, 776196453793973340, 22207928, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.LV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027771
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 25158737, 507231460158158244, 14236187, 3408417444, 249695279010334470], 'label': '8192.wy.16._.LW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027772
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.LX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027773
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1099504540643719230, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.LY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027774
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 494447461208680350, 11289680, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.LZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027775
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 494447461208680350, 3314457, 776196453793973340, 945036115457634278, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.MA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027776
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 776196453793973340, 945036115457634278, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.MB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027777
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 11289680, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.MC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027778
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 945036115450381694, 494447461208680350, 11289680, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.MD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027779
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 249695279010334470, 507231460158158244, 3314457, 4856295156, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.ME', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ME', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ME', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027780
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 737383283709540630, 507231460158158244, 861174516865795230, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027781
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3314457, 1714817781017002843, 776196453793973340, 23336182, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.MF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027782
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1978453934, 507231460158158244, 3427710548, 3314457, 1714817781017002843, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.MG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028793
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 861174516873415764, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.H', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027783
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 945036115450381694, 1978453934, 494447461208680350, 3314457, 776196453793973340, 861174516873778650, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.MH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027784
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3314457, 776196453793973340, 861174516873778650, 23336182, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.MI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027785
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 945036118320827940, 23336182, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.16._.MJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027786
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 945036115436168658, 249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.16._.MK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027787
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115436168658, 249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 861174516873778650, 3408417444], 'label': '8192.wy.16._.ML', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ML', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ML', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027788
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 23336182, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 861174516873778650, 3408417444], 'label': '8192.wy.16._.MM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027789
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 23336182, 507231460158158244, 945036117373806782, 1714817781017002843, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.MN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027790
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 945036117373806782, 3427710548, 1714817781017002843, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.MO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027791
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 23336182, 507231460158158244, 861174516865795230, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027792
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 494447461208680350, 945036117373806782, 4863547740, 776196453793973340, 861174516873778650, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.MP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027793
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 4863547740, 776196453793973340, 861174516873778650, 23336182, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.MQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027794
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1134021, 3314457, 4856295156, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.MR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027795
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 945036115450381694, 494447461208680350, 11289680, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.MS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027796
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 494447461208680350, 11289680, 3314457, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.MT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027797
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 494447461208680350, 3314457, 4863547740, 776196453793973340, 945036115457634278, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.MU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027798
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 4863547740, 776196453793973340, 945036115457634278, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.MV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027799
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 11289680, 3314457, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.MW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027800
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 945036117373806782, 776196453793973340, 3426623342, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.MX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027801
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 945036117373806782, 1714817781017002843, 776196453793973340, 22207928, 494447461208680350], 'label': '8192.wy.16._.MY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027802
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516865795230, 3314457, 861174516888672546, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027803
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 3426623342, 945036117373806782, 1714817781017002843, 776196453793973340, 494447461208680350], 'label': '8192.wy.16._.MZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.MZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.MZ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027804
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 861174516873778650, 3426623342, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.NA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027805
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 945036117373806782, 776196453793973340, 22207928, 494447461208680350, 861174516873778650], 'label': '8192.wy.16._.NB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027806
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3314457, 1714817781017002843, 776196453793973340, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.NC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027807
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3314457, 1714817781017002843, 776196453793973340, 3426623342, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.ND', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ND', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ND', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027808
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 1978453934, 494447461208680350, 3314457, 776196453793973340, 23336182, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.NE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027809
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 1978453934, 507231460158158244, 3427710548, 3314457, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.NF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027810
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 945036115450381694, 1978453934, 494447461208680350, 3314457, 776196453793973340, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.NG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027811
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3314457, 776196453793973340, 861174516873415764, 23336182, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.NH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027812
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 23336182, 507231460158158244, 4866134850, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.NI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NI', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027813
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 507231460158158244, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029588
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 12055774, 776196453793973340, 3411000111, 507231460158158244], 'label': '8192.wy.256._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027814
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 507231460158158244, 4846066770, 4866134850, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.NJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027815
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516873415764, 4846066770, 4866134850, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.NK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027816
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 861174516873415764, 23336182, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.NL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027817
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 494447461208680350, 4863547740, 776196453793973340, 23336182, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.NM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027818
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 3411000111, 507231460158158244, 3427710548, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350], 'label': '8192.wy.16._.NN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027819
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 861174516873415764, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.NO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027820
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 861174516873415764, 23336182, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.NP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027821
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3314457, 776196453793973340, 861174516873778650, 3426623342, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.NQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027822
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3314457, 776196453793973340, 22207928, 861174516873778650, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.NR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027823
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 507231460158158244, 945036115451471780, 776196453793973340, 22207928, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.NS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027824
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 861174516887947500, 737383283709540630, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027825
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115435805772, 90305922863572844, 249695279010334470, 507231460158158244, 945036115451471780, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.NT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027826
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115435805772, 4863547740, 776196453793973340, 861174516873778650, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.NU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027827
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 945036115451471780, 776196453793973340, 22207928, 4863547740, 494447461208680350, 861174516873778650, 3408417444], 'label': '8192.wy.16._.NV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027828
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 945036117373806782, 776196453793973340, 22207928, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.NW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027829
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 945036117373806782, 776196453793973340, 3426623342, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.NX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027830
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 945036117373806782, 776196453793973340, 22207928, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.NY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027831
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 3314457, 945036117373806782, 776196453793973340, 3426623342, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.NZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.NZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.NZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027832
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 3314457, 945036117373806782, 776196453793973340, 22207928, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.OA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027833
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 3314457, 945036117373806782, 776196453793973340, 3426623342, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.OB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027834
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 3314457, 945036117373806782, 776196453793973340, 22207928, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.OC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027835
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 23336182, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027836
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 861174516867979765, 4863547740, 776196453793973340, 25158737, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.OD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027837
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 1099504540650950844, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.OE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027838
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 23336182, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.OF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027839
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3409142490, 3314457, 776196453793973340, 507231460158158244, 861174516887947500, 249695279010334470], 'label': '8192.wy.16._.OG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027840
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781031171716, 1978453934, 494447461208680350, 3409142490, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.OH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027841
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1978453934, 507231460158158244, 1134021, 3314457, 776196453793973340, 945036115450381694, 1714817781031171716, 494447461208680350], 'label': '8192.wy.16._.OI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027842
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 1978453934, 507231460158158244, 1134021, 3314457, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.OJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027843
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 861174516887947500, 507231460158158244, 3314457, 776196453793973340, 945036115450744580, 494447461208680350, 3408417444], 'label': '8192.wy.16._.OK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027844
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 494447461208680350, 3314457, 776196453793973340, 90305922851951198, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.OL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029589
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695281895760924, 494447461208680350, 3314457, 776196453793973340, 507231460158158244], 'label': '8192.wy.256._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027845
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 776196453793973340, 90305922851951198, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.OM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027846
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 507231460158158244, 3314457, 861174516888672546, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027847
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 861174516887947500, 507231460158158244, 1134021, 3314457, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.16._.ON', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ON', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ON', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027848
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3409142490, 249695279010334470, 861174516887947500, 507231460158158244, 945036117373806782, 3314457, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.OO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027849
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3409142490, 249695279010334470, 507231460158158244, 945036117373806782, 3314457, 776196453793973340, 4863547740, 1714817781031171716, 494447461208680350], 'label': '8192.wy.16._.OP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027850
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 945036117373806782, 1134021, 3314457, 776196453793973340, 4863547740, 1714817781031171716, 494447461208680350], 'label': '8192.wy.16._.OQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027851
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 507231460158158244, 945036117373806782, 1134021, 3314457, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.OR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027852
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 22207928, 507231460158158244, 14236187, 3408417444, 249695279010334470], 'label': '8192.wy.16._.OS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027853
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 4863547740, 1099504540658219364, 494447461208680350, 3408417444], 'label': '8192.wy.16._.OT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027854
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 861174516867979765, 4863547740, 776196453793973340, 22207928, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.OU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027855
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516880694916, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.OV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027856
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 861174516873415764, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.OW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027857
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 737383283709540630, 507231460158158244, 3314457, 22207928, 776196453793973340, 945036115450381694, 4863547740, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CY', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027858
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 3314457, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.OX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027859
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 3398266123, 945036117373806782, 776196453793973340, 22207928, 494447461208680350], 'label': '8192.wy.16._.OY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OY', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027860
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 3398266123, 3426623342, 945036117373806782, 776196453793973340, 494447461208680350], 'label': '8192.wy.16._.OZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.OZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.OZ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027861
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 945036118320827940, 3411000111, 507231460158158244, 3426623342, 945036117373806782, 776196453793973340, 494447461208680350], 'label': '8192.wy.16._.PA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027862
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3409142490, 3314457, 776196453793973340, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.PB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027863
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 1978453934, 494447461208680350, 3409142490, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.PC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027864
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 1978453934, 507231460158158244, 1134021, 3314457, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.PD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027865
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 945036115450381694, 1978453934, 494447461208680350, 3314457, 776196453793973340, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.PE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027866
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 945036115450381694, 494447461208680350, 3314457, 776196453793973340, 861174516873415764, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.PF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027867
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 4864634946, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.PG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027868
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 507231460158158244, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 861174516873778650, 3408417444], 'label': '8192.wy.2._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.J', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027869
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 861174516887947500, 737383283709540630, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027870
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 507231460158158244, 1134021, 3314457, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.PH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027871
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 945036115450381694, 494447461208680350, 3314457, 776196453793973340, 861174516873415764, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.PI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027872
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3409142490, 3314457, 4863547740, 776196453793973340, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.PJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027873
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 494447461208680350, 3409142490, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.PK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027874
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 507231460158158244, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.PL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027875
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.PM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028794
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 1346691766808049900, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.I', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027876
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 945036117373806782, 776196453793973340, 1714817781023892564, 4863547740, 1714817781031171716, 494447461208680350], 'label': '8192.wy.16._.PN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027877
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 861174516887947500, 507231460158158244, 945036117373806782, 776196453793973340, 1714817781023892564, 4863547740, 494447461208680350], 'label': '8192.wy.16._.PO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027878
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 945036117373806782, 861174516865795230, 776196453793973340, 4863547740, 1714817781031171716, 494447461208680350], 'label': '8192.wy.16._.PP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027879
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 861174516887947500, 507231460158158244, 945036117373806782, 861174516865795230, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.PQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027880
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 737383283709540630, 23336182, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 4863547740, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027881
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 945036117373806782, 3314457, 776196453793973340, 1714817781023892564, 4863547740, 1714817781031171716, 494447461208680350], 'label': '8192.wy.16._.PR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027882
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 507231460158158244, 945036117373806782, 3314457, 776196453793973340, 1714817781023892564, 4863547740, 494447461208680350], 'label': '8192.wy.16._.PS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027883
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 945036117373806782, 861174516865795230, 3314457, 776196453793973340, 4863547740, 1714817781031171716, 494447461208680350], 'label': '8192.wy.16._.PT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027884
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 507231460158158244, 945036117373806782, 861174516865795230, 3314457, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.PU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027885
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 861174516867979765, 4863547740, 776196453793973340, 861174516889768410, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.PV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027886
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 945036118320827940, 3411000111, 507231460158158244, 945036117373806782, 776196453793973340, 22207928, 494447461208680350], 'label': '8192.wy.16._.PW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027887
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 1978453934, 507231460158158244, 3398266123, 776196453793973340, 22207928, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.PX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027888
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 1978453934, 507231460158158244, 3398266123, 3426623342, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.PY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027889
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 1978453934, 507231460158158244, 3426623342, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.PZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.PZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.PZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027890
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 3314457, 945036117373806782, 4863547740, 776196453793973340, 1714817781024255450, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.QA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027891
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 737383283709540630, 507231460158158244, 3314457, 861174516888672546, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027892
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1714817781024255450, 507231460158158244, 1714817781031896762, 945036117373806782, 3314457, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.QB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027893
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 507231460158158244, 1714817781031896762, 945036117373806782, 3314457, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.QC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027894
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 507231460158158244, 945036117373806782, 3314457, 861174516888672546, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.QD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027895
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 1714817781024255450, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.QE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027896
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 1714817781031896762, 776196453793973340, 1714817781024255450, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.QF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027897
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 3411000111, 507231460158158244, 1714817781031896762, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350], 'label': '8192.wy.16._.QG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027898
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 3411000111, 507231460158158244, 861174516888672546, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350], 'label': '8192.wy.16._.QH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027899
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 90305922856320260, 507231460158158244, 945036115451471780, 861174516888672546, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.QI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027900
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 90305922856320260, 507231460158158244, 945036115451471780, 90305922852676244, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.QJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027901
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 507231460158158244, 945036115451471780, 90305922852676244, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.QK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027902
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 3314457, 1099504540658950884, 22207928, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027903
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 507231460158158244, 945036115451471780, 861174516888672546, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.QL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027904
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 507231460158158244, 776196453793973340, 4863547740, 945036115450381694, 861174516867979765, 494447461208680350, 3408417444], 'label': '8192.wy.16._.QM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027905
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 1978453934, 507231460158158244, 776196453793973340, 22207928, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.QN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027906
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 4863547740, 776196453793973340, 22207928, 945036115457997164, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.QO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027907
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115435805772, 3314457, 4863547740, 776196453793973340, 945036115457997164, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.QP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027908
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 12055774, 507231460158158244, 3314457, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.QQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027909
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 861174516889768410, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.QR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027910
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 507231460158158244, 3314457, 22207928, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.QS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027911
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 4863547740, 776196453793973340, 25158737, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.QT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QT', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027912
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 25158737, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.QU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QU', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027913
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 737383283709540630, 507231460158158244, 11289680, 3314457, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027914
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516865795230, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.QV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QV', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027915
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 507231460158158244, 861174516865795230, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.QW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QW', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027916
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 3314457, 861174516888672546, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.QX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QX', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027917
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.QY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QY', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027918
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 22207928, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.QZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.QZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.QZ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027919
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 22207928, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.RA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027920
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 3411000111, 507231460158158244, 945036117373806782, 1714817781017002843, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.RB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027921
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 249695279010334470, 3411000111, 507231460158158244, 945036117373806782, 1714817781017002843, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.RC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027922
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 494447461208680350, 945036117373806782, 4863547740, 776196453793973340, 861174516873778650, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.RD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027923
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 3411000111, 507231460158158244, 945036117373806782, 776196453793973340, 4863547740, 494447461208680350, 861174516873778650], 'label': '8192.wy.16._.RE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027924
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 23336182, 507231460158158244, 11289680, 3314457, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027925
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 507231460158158244, 3314457, 1714817781017002843, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350], 'label': '8192.wy.16._.RF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027926
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 249695279010334470, 507231460158158244, 3314457, 1714817781017002843, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350], 'label': '8192.wy.16._.RG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RG', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027927
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 861174516873778650, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.RH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027928
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 33084272, 3314457, 4863547740, 776196453793973340, 861174516873778650, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.RI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.RI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.RI', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027929
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 34212526, 2079046919418610362, 4866134850, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027930
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3416788818, 776196453793973340, 2079046919418610362, 4866134850, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027931
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1967898690, 776196453793973340, 2079046919418610362, 4866134850, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027932
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4835190403, 494447461208680350, 776196453793973340, 2079046919418610362, 4866134850, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027933
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1346691766808774946, 249695279010334470, 4835190403, 945036118320827940, 507231460158158244, 4866134850, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.E', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027934
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1346691766808774946, 249695279010334470, 945036118320827940, 507231460158158244, 4866134850, 776196453793973340, 1967898690, 494447461208680350], 'label': '8192.wy.32._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027935
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 3314457, 861174516888672546, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027936
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1346691766808774946, 249695279010334470, 3416788818, 945036118320827940, 507231460158158244, 4866134850, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027937
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1346691766808774946, 249695279010334470, 945036118320827940, 507231460158158244, 4866134850, 776196453793973340, 34212526, 494447461208680350], 'label': '8192.wy.32._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.H', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027938
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 4866134850, 1714817781017002843, 776196453793973340, 34212526, 494447461208680350], 'label': '8192.wy.32._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.I', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029853
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460160740911, 776196453793973340, 494447461209773323], 'label': '8192.wy.1024._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.W', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027939
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3416788818, 945036118320827940, 507231460158158244, 4866134850, 1714817781017002843, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.J', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027940
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 4866134850, 1714817781017002843, 776196453793973340, 1967898690, 494447461208680350], 'label': '8192.wy.32._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.K', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027941
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 4835190403, 945036118320827940, 507231460158158244, 4866134850, 1714817781017002843, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.L', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027942
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4835190403, 494447461208680350, 776196453793973340, 861174516873778650, 4866134850, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027943
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1967898690, 776196453793973340, 861174516873778650, 4866134850, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.N', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027944
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3416788818, 776196453793973340, 861174516873778650, 4866134850, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.O', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027945
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 34212526, 861174516873778650, 4866134850, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.P', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027946
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460158158244, 3408417444, 737383283709540630, 249695279010334470, 1099504540658950884, 4863547740, 861174516865795230, 945036115450381694, 3314457, 776196453793973340, 22207928], 'label': '8192.wy.4._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027947
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 861174516888672546, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.Q', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027948
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 1714817781031896762, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.R', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027949
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 494447461208680350, 776196453793973340, 1346691766793881050, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.S', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027950
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 249695279010334470, 3411000111, 945036118320827940, 2079046919403716443, 507231460158158244, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.T', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255027951
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 2079046919403716443, 507231460158158244, 1990055324, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.U', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027952
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 1990055324, 1346691766793881050, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.V', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027953
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 1714817781031896762, 1990055324, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.W', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027954
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 776196453793973340, 1990055324, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.X', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027955
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 3398266123, 861174516888672546, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.Y', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027956
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 1714817781031896762, 3398266123, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.Z', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027957
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 737383283709540630, 507231460158158244, 861174516865795230, 3314457, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027958
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 3398266123, 776196453793973340, 1346691766793881050, 494447461208680350], 'label': '8192.wy.32._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027959
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 2079046919403716443, 507231460158158244, 3398266123, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027960
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 945036118320827940, 3411000111, 2079046919403716443, 507231460158158244, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027961
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 945036118320827940, 3411000111, 507231460158158244, 776196453793973340, 1346691766793881050, 494447461208680350], 'label': '8192.wy.32._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027962
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 945036118320827940, 3411000111, 507231460158158244, 1714817781031896762, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027963
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 945036118320827940, 3411000111, 507231460158158244, 861174516888672546, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027964
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 1714817781023892564, 945036117373806782, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027965
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 945036117373806782, 2079046919403716443, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027966
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 945036117373806782, 776196453793973340, 1346691766793881050, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027967
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 945036117373806782, 1714817781031896762, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027968
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460158158244, 3408417444, 737383283709540630, 249695279010334470, 1099504540658950884, 4863547740, 861174516865795230, 945036115450381694, 3314457, 23336182, 776196453793973340], 'label': '8192.wy.4._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027969
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1714817781031896762, 4866134850, 945036117373806782, 776196453793973340, 1346691766800797316, 494447461208680350], 'label': '8192.wy.32._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027970
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 1346691766793881050, 1346691766800797316, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027971
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 2079046919403716443, 507231460158158244, 4866134850, 945036117373806782, 776196453793973340, 1346691766800797316, 494447461208680350], 'label': '8192.wy.32._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027972
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 945036117373806782, 776196453793973340, 1346691766800797316, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027973
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 2079046919425137900, 494447461208680350, 945036117373806782, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027974
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 2079046919403716443, 507231460158158244, 2079046919425137900, 4866134850, 945036117373806782, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027975
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919425137900, 494447461208680350, 945036117373806782, 776196453793973340, 1346691766793881050, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027976
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 2079046919425137900, 1714817781031896762, 4866134850, 945036117373806782, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027977
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 945036117373806782, 1714817781031896762, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027978
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 945036117373806782, 776196453793973340, 1346691766793881050, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027979
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 23336182, 507231460158158244, 11289680, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 861174516873778650, 3408417444], 'label': '8192.wy.2._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.K', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027980
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460158158244, 3408417444, 861174516888672546, 737383283709540630, 249695279010334470, 1099504540658950884, 4863547740, 861174516865795230, 945036115450381694, 3314457, 776196453793973340], 'label': '8192.wy.4._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027981
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 945036117373806782, 2079046919403716443, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027982
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 861174516865795230, 494447461208680350, 945036117373806782, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027983
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 507231460158158244, 945036117373806782, 1714817781017002843, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027984
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 494447461208680350, 945036117373806782, 1714817781017002843, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027985
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 1714817781017002843, 776196453793973340, 1990055324, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027986
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 3398266123, 945036117373806782, 1714817781017002843, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027987
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1346691766808774946, 249695279010334470, 3411000111, 507231460158158244, 3398266123, 945036117373806782, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027988
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 1990055324, 3411000111, 507231460158158244, 1346691766808774946, 249695279010334470], 'label': '8192.wy.32._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027989
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 494447461208680350, 945036117373806782, 776196453793973340, 3411000111, 507231460158158244, 1346691766808774946, 249695279010334470], 'label': '8192.wy.32._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027990
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1346691766808774946, 249695279010334470, 12055774, 3411000111, 507231460158158244, 945036117373806782, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027991
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 507231460158158244, 3314457, 1099504540658950884, 22207928, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027992
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 12055774, 776196453793973340, 2079046919418610362, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027993
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 494447461208680350, 945036117373806782, 776196453793973340, 2079046919418610362, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027994
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 1990055324, 2079046919418610362, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027995
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 3398266123, 776196453793973340, 2079046919418610362, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027996
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 3398266123, 776196453793973340, 861174516873778650, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027997
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 1990055324, 861174516873778650, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027998
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 494447461208680350, 945036117373806782, 776196453793973340, 861174516873778650, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255027999
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 12055774, 776196453793973340, 861174516873778650, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028000
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919425862946, 249695279010334470, 945036118320827940, 23336182, 507231460158158244, 1981001417, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028001
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919425862946, 249695279010334470, 945036118320827940, 507231460158158244, 1981001417, 3427710548, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028002
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 861174516887947500, 737383283709540630, 507231460158158244, 3314457, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028003
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919425862946, 249695279010334470, 945036118320827940, 507231460158158244, 1981001417, 1960646083, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029630
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 507231460158158244, 3408417444], 'label': '8192.wy.256._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028004
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919425862946, 249695279010334470, 945036118320827940, 507231460158158244, 1981001417, 4846066770, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028005
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 1981001417, 4846066770, 776196453793973340, 1346691766801522362, 494447461208680350], 'label': '8192.wy.32._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028006
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 1981001417, 1960646083, 776196453793973340, 1346691766801522362, 494447461208680350], 'label': '8192.wy.32._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028007
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 494447461208680350, 1346691766801522362, 776196453793973340, 1981001417, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028008
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1346691766801522362, 776196453793973340, 23336182, 1981001417, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028009
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 1714817781024255450, 23336182, 1981001417, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028010
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 494447461208680350, 776196453793973340, 1714817781024255450, 1981001417, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028011
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1960646083, 776196453793973340, 1714817781024255450, 1981001417, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028012
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 1714817781024255450, 507231460158158244, 1981001417, 4846066770, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028013
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 23336182, 507231460158158244, 3314457, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028014
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 945036118320827940, 507231460158158244, 1981001417, 4846066770, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028015
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 945036118320827940, 507231460158158244, 1981001417, 1960646083, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028016
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 945036118320827940, 507231460158158244, 1981001417, 3427710548, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028017
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 945036118320827940, 23336182, 507231460158158244, 1981001417, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028018
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 494447461208680350, 861174516880694916, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028019
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 494447461208680350, 3314457, 776196453793973340, 1714817781038424300, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028020
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 494447461208680350, 3314457, 776196453793973340, 1346691766785897630, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028021
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919410606164, 4864634946, 494447461208680350, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028022
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919410606164, 494447461208680350, 1979178980, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028023
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1979178980, 3314457, 776196453793973340, 1346691766785897630, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028024
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 507231460158158244, 3314457, 861174516888672546, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028025
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1979178980, 3314457, 776196453793973340, 1714817781038424300, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028026
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1979178980, 249695279010334470, 945036118320827940, 507231460158158244, 861174516880694916, 3314457, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028027
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3409142490, 861174516880694916, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028028
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3409142490, 3314457, 776196453793973340, 1714817781038424300, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028029
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3409142490, 3314457, 776196453793973340, 1346691766785897630, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028030
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919410606164, 494447461208680350, 3409142490, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028031
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919410606164, 1134021, 494447461208680350, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028032
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 776196453793973340, 1346691766785897630, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028033
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 776196453793973340, 1714817781038424300, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028034
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 861174516880694916, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028035
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 737383283709540630, 507231460158158244, 3314457, 1099504540658950884, 22207928, 776196453793973340, 945036115450381694, 4863547740, 3408417444], 'label': '8192.wy.4._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028036
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 945036117373806782, 776196453793973340, 23336182, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028037
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 945036117373806782, 776196453793973340, 1981001417, 507231460158158244, 4846066770, 249695279010334470], 'label': '8192.wy.32._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028038
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1960646083, 1714817781023892564, 945036117373806782, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028039
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 494447461208680350, 1714817781023892564, 945036117373806782, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028040
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 494447461208680350, 945036117373806782, 776196453793973340, 1346691766800797316, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028041
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1960646083, 945036117373806782, 776196453793973340, 1346691766800797316, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028042
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1981001417, 4846066770, 945036117373806782, 776196453793973340, 1346691766800797316, 494447461208680350], 'label': '8192.wy.32._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028043
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 23336182, 1346691766800797316, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028044
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919425137900, 494447461208680350, 945036117373806782, 776196453793973340, 23336182, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028045
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 2079046919425137900, 4846066770, 1981001417, 945036117373806782, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028046
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 861174516887947500, 737383283709540630, 507231460158158244, 3314457, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028047
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919425137900, 494447461208680350, 1960646083, 945036117373806782, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028048
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 2079046919425137900, 494447461208680350, 945036117373806782, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ED', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028049
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 861174516865795230, 494447461208680350, 945036117373806782, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028050
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 1960646083, 945036117373806782, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028051
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 945036117373806782, 776196453793973340, 1981001417, 507231460158158244, 4846066770, 249695279010334470], 'label': '8192.wy.32._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028052
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 945036117373806782, 776196453793973340, 23336182, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028053
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 3409142490, 3314457, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028054
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919425137900, 494447461208680350, 3409142490, 3314457, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028055
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3409142490, 3314457, 945036117373806782, 776196453793973340, 1346691766800797316, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028056
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 3409142490, 3314457, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028057
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 737383283709540630, 23336182, 507231460158158244, 3314457, 1099504540658950884, 776196453793973340, 945036115450381694, 4863547740, 3408417444], 'label': '8192.wy.4._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028058
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 1979178980, 3314457, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028059
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1979178980, 249695279010334470, 507231460158158244, 945036117373806782, 3314457, 776196453793973340, 1346691766800797316, 494447461208680350], 'label': '8192.wy.32._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028060
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1979178980, 249695279010334470, 507231460158158244, 2079046919425137900, 945036117373806782, 3314457, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028061
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 1979178980, 3314457, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028062
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 4864634946, 494447461208680350, 3314457, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028063
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 2079046919425137900, 494447461208680350, 3314457, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ER', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028064
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 494447461208680350, 3314457, 945036117373806782, 776196453793973340, 1346691766800797316, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ES', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028065
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 494447461208680350, 1714817781023892564, 3314457, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ET', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028066
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 1714817781023892564, 3314457, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028067
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 945036117373806782, 776196453793973340, 1346691766800797316, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028068
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 737383283709540630, 507231460158158244, 3314457, 861174516888672546, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028069
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 2079046919425137900, 494447461208680350, 3314457, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028070
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 1134021, 494447461208680350, 3314457, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028071
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 507231460158158244, 4866134850, 776196453793973340, 1346691766801522362, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028072
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 4866134850, 2079046919402985630, 776196453793973340, 1346691766801522362, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028073
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 4866134850, 776196453793973340, 1714817781031171716, 945036116397438036, 1346691766801522362, 494447461208680350], 'label': '8192.wy.32._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028074
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1346691766801522362, 1346691766793518164, 945036116397438036, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028075
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1346691766793518164, 945036116397438036, 776196453793973340, 1714817781024255450, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028076
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1714817781024255450, 507231460158158244, 4866134850, 776196453793973340, 1714817781031171716, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028077
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1714817781024255450, 507231460158158244, 4866134850, 2079046919402985630, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028078
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 1714817781024255450, 507231460158158244, 4866134850, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028079
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 1134021, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028080
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919425862946, 249695279010334470, 861174516887947500, 507231460158158244, 4866134850, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028081
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919425862946, 249695279010334470, 507231460158158244, 4866134850, 2079046919402985630, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028082
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919425862946, 249695279010334470, 507231460158158244, 4866134850, 776196453793973340, 1714817781031171716, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028083
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919425862946, 249695279010334470, 507231460158158244, 4866134850, 1346691766793518164, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028084
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 507231460158158244, 4866134850, 1346691766793518164, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028085
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 507231460158158244, 4866134850, 776196453793973340, 1714817781031171716, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028086
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 507231460158158244, 4866134850, 2079046919402985630, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028087
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 861174516887947500, 507231460158158244, 4866134850, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028088
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 2079046919417885316, 776196453793973340, 34212526, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028089
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3416788818, 2079046919417885316, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028090
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 861174516873778650, 3408417444], 'label': '8192.wy.2._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.L', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028091
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 737383283709540630, 507231460158158244, 11289680, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028092
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1967898690, 2079046919417885316, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028093
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 4835190403, 507231460158158244, 4866134850, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.32._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028094
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4835190403, 945036115450381694, 494447461208680350, 776196453793973340, 1346691766808049900, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028095
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1967898690, 776196453793973340, 1346691766808049900, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028096
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3416788818, 776196453793973340, 1346691766808049900, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028097
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 34212526, 1346691766808049900, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028098
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 494447461208680350, 776196453793973340, 34212526, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028099
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 494447461208680350, 3416788818, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028100
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 494447461208680350, 1967898690, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028101
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 4835190403, 507231460158158244, 4866134850, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.32._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028233
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 507231460158158244, 945036115451471780, 776196453793973340, 945036117355612356, 4863547740, 494447461208680350], 'label': '8192.wy.32._.KO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028102
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540650950844, 3408417444], 'label': '8192.wy.4._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028103
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4835190403, 945036115450381694, 494447461208680350, 776196453793973340, 861174516873415764, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028104
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1967898690, 776196453793973340, 861174516873415764, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028105
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3416788818, 776196453793973340, 861174516873415764, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028106
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 34212526, 861174516873415764, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028107
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 861174516887947500, 507231460158158244, 1990055324, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028108
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 1990055324, 2079046919402985630, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028109
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 1990055324, 776196453793973340, 1714817781031171716, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028110
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1346691766793518164, 945036116397438036, 776196453793973340, 1990055324, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028111
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 3398266123, 1346691766793518164, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028112
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 3398266123, 776196453793973340, 1714817781031171716, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028113
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 608272580717079120, 507231460158158244, 11289680, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028114
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 3398266123, 2079046919402985630, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028115
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 861174516887947500, 507231460158158244, 3398266123, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028116
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 249695279010334470, 3411000111, 861174516887947500, 507231460158158244, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028117
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 249695279010334470, 3411000111, 507231460158158244, 2079046919402985630, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028118
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 249695279010334470, 3411000111, 507231460158158244, 776196453793973340, 1714817781031171716, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028119
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 494447461208680350, 1346691766793518164, 945036116397438036, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028120
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 507231460158158244, 1346691766793518164, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028121
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 507231460158158244, 776196453793973340, 1714817781031171716, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028122
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 507231460158158244, 2079046919402985630, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028123
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 861174516887947500, 3411000111, 507231460158158244, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028124
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460158158244, 3408417444, 737383283709540630, 249695279010334470, 4863547740, 861174516865795230, 945036115450381694, 3314457, 776196453793973340, 22207928, 1134021], 'label': '8192.wy.4._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028125
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 12055774, 3411000111, 507231460158158244, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.32._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028126
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 3411000111, 507231460158158244, 3398266123, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.32._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028127
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 2079046919417885316, 776196453793973340, 1990055324, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028128
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 4857382362, 249695279010334470, 3411000111, 507231460158158244, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.32._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028129
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 945036115450381694, 494447461208680350, 776196453793973340, 1346691766808049900, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028130
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 1990055324, 1346691766808049900, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028131
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3398266123, 776196453793973340, 1346691766808049900, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028132
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 12055774, 776196453793973340, 1346691766808049900, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028133
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 12055774, 3411000111, 507231460158158244, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.32._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028134
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 3411000111, 507231460158158244, 3398266123, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.32._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028135
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 737383283709540630, 507231460158158244, 861174516865795230, 3314457, 1134021, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028136
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 494447461208680350, 776196453793973340, 1990055324, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028137
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 4857382362, 249695279010334470, 3411000111, 507231460158158244, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.32._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028138
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 945036115450381694, 494447461208680350, 776196453793973340, 861174516873415764, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028139
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 1990055324, 861174516873415764, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028140
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3398266123, 776196453793973340, 861174516873415764, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028141
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 12055774, 776196453793973340, 861174516873415764, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028142
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1346691766808774946, 249695279010334470, 23336182, 507231460158158244, 1981001417, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028143
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1346691766808774946, 249695279010334470, 507231460158158244, 1981001417, 4846066770, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028144
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1346691766808774946, 249695279010334470, 507231460158158244, 1981001417, 3427710548, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028145
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1346691766808774946, 249695279010334470, 507231460158158244, 1981001417, 1960646083, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028146
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516865795230, 3314457, 1134021, 776196453793973340, 4863547740, 945036115450381694, 1099504540650950844, 3408417444], 'label': '8192.wy.4._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028147
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1981001417, 1960646083, 1714817781017002843, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028148
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1981001417, 3427710548, 1714817781017002843, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028149
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1981001417, 4846066770, 1714817781017002843, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028150
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 23336182, 507231460158158244, 1981001417, 1714817781017002843, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028151
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036116397438036, 776196453793973340, 2079046919418610362, 23336182, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028152
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1981001417, 4846066770, 776196453793973340, 945036116397438036, 2079046919418610362, 494447461208680350], 'label': '8192.wy.32._.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028153
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 494447461208680350, 945036116397438036, 776196453793973340, 2079046919418610362, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028154
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1960646083, 945036116397438036, 776196453793973340, 2079046919418610362, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028155
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1960646083, 945036116397438036, 776196453793973340, 861174516873778650, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028156
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 494447461208680350, 945036116397438036, 776196453793973340, 861174516873778650, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028157
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460158158244, 3408417444, 737383283709540630, 249695279010334470, 4863547740, 608272580717079120, 945036115450381694, 3314457, 861174516865795230, 776196453793973340, 1134021], 'label': '8192.wy.4._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028158
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1981001417, 4846066770, 776196453793973340, 945036116397438036, 494447461208680350, 861174516873778650], 'label': '8192.wy.32._.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028159
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036116397438036, 776196453793973340, 861174516873778650, 23336182, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.HZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.HZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028160
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 2079046919417885316, 776196453793973340, 23336182, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028161
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 507231460158158244, 1981001417, 3427710548, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.32._.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028162
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1960646083, 2079046919417885316, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028163
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 507231460158158244, 1981001417, 4846066770, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.32._.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ID', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028164
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 1346691766808049900, 1981001417, 507231460158158244, 4846066770, 249695279010334470], 'label': '8192.wy.32._.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028165
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1960646083, 776196453793973340, 1346691766808049900, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028166
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 945036115450381694, 494447461208680350, 776196453793973340, 1346691766808049900, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028167
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 1346691766808049900, 23336182, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028168
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 1099504540643719230, 1134021, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028169
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 494447461208680350, 776196453793973340, 23336182, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.II', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.II', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028170
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 507231460158158244, 1981001417, 3427710548, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.32._.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028171
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 494447461208680350, 1960646083, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028172
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 507231460158158244, 1981001417, 4846066770, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.32._.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028173
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 861174516873415764, 1981001417, 507231460158158244, 4846066770, 249695279010334470], 'label': '8192.wy.32._.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028174
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1960646083, 776196453793973340, 861174516873415764, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028175
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 945036115450381694, 494447461208680350, 776196453793973340, 861174516873415764, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028176
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 861174516873415764, 23336182, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028177
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1979178980, 249695279010334470, 861174516887947500, 507231460158158244, 3314457, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028178
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1979178980, 249695279010334470, 507231460158158244, 2079046919402985630, 3314457, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028179
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 737383283709540630, 507231460158158244, 1099504540643719230, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028180
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1979178980, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 1714817781031171716, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028181
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1979178980, 249695279010334470, 507231460158158244, 1346691766793518164, 3314457, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.32._.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028182
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3409142490, 1346691766793518164, 3314457, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028183
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781031171716, 494447461208680350, 3409142490, 3314457, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028184
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919402985630, 494447461208680350, 3409142490, 3314457, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028185
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3409142490, 3314457, 945036116397438036, 776196453793973340, 507231460158158244, 861174516887947500, 249695279010334470], 'label': '8192.wy.32._.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028186
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 494447461208680350, 3314457, 945036116397438036, 776196453793973340, 507231460158158244, 861174516887947500, 249695279010334470], 'label': '8192.wy.32._.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028187
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 2079046919402985630, 494447461208680350, 3314457, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.IZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.IZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028188
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 1714817781031171716, 494447461208680350, 3314457, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028189
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 494447461208680350, 1346691766793518164, 3314457, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028190
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 1099504540643719230, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540650950844, 3408417444], 'label': '8192.wy.4._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028191
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 1346691766793518164, 3314457, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028192
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 1714817781031171716, 494447461208680350, 3314457, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028193
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 2079046919402985630, 494447461208680350, 3314457, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028194
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 945036116397438036, 776196453793973340, 507231460158158244, 861174516887947500, 249695279010334470], 'label': '8192.wy.32._.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028195
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 945036115450381694, 494447461208680350, 3314457, 776196453793973340, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028196
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 945036115450381694, 1714817781016272030, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028197
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 945036115450381694, 494447461208680350, 3314457, 776196453793973340, 1346691766808049900, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028198
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 945036115450381694, 494447461208680350, 3314457, 2079046919417885316, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028199
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1979178980, 3314457, 2079046919417885316, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028200
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1979178980, 3314457, 776196453793973340, 1346691766808049900, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028201
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 23336182, 507231460158158244, 861174516873415764, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.2._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028202
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 608272580717079120, 507231460158158244, 1099504540643719230, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ED', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028203
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 494447461208680350, 1979178980, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028204
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1979178980, 3314457, 776196453793973340, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028205
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3409142490, 3314457, 776196453793973340, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028206
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 494447461208680350, 3409142490, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028207
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3409142490, 3314457, 776196453793973340, 1346691766808049900, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028208
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3409142490, 3314457, 2079046919417885316, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028209
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 945036115450381694, 494447461208680350, 3314457, 2079046919417885316, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028210
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 945036115450381694, 494447461208680350, 3314457, 776196453793973340, 1346691766808049900, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028211
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 945036115450381694, 1714817781016272030, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028212
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 945036115450381694, 494447461208680350, 3314457, 776196453793973340, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028213
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [608272580746468256, 249695279010334470, 737383283709540630, 507231460158158244, 1134021, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028214
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 945036117374896868, 4863547740, 776196453793973340, 90305922856320260, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028215
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 90305922856320260, 507231460158158244, 1714817781031896762, 776196453793973340, 945036117374896868, 4863547740, 494447461208680350], 'label': '8192.wy.32._.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028216
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117374896868, 4863547740, 776196453793973340, 578306446393981820, 90305922856320260, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028217
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117374896868, 4863547740, 776196453793973340, 90305922852676244, 90305922856320260, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.JZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.JZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028218
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117374896868, 4863547740, 776196453793973340, 90305922852676244, 578306446408507244, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028219
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117374896868, 4863547740, 776196453793973340, 578306446393981820, 578306446408507244, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028220
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117374896868, 4863547740, 1714817781031896762, 776196453793973340, 578306446408507244, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028221
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 945036117374896868, 4863547740, 776196453793973340, 578306446408507244, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028222
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 945036117374896868, 4863547740, 776196453793973340, 1714817781024255450, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028223
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117374896868, 4863547740, 1714817781031896762, 776196453793973340, 1714817781024255450, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028224
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [608272580746468256, 249695279010334470, 861174516887947500, 737383283709540630, 507231460158158244, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028225
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117374896868, 4863547740, 776196453793973340, 578306446393981820, 1714817781024255450, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028226
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117374896868, 4863547740, 776196453793973340, 90305922852676244, 1714817781024255450, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.KH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028227
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 494447461208680350, 945036117374896868, 4863547740, 776196453793973340, 90305922852676244, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.KI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028228
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 494447461208680350, 945036117374896868, 4863547740, 776196453793973340, 578306446393981820, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.KJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028229
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 507231460158158244, 1714817781031896762, 776196453793973340, 945036117374896868, 4863547740, 494447461208680350], 'label': '8192.wy.32._.KK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028230
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 861174516866526043, 494447461208680350, 945036117374896868, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.KL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028231
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 33084272, 249695279010334470, 507231460158158244, 945036115451471780, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.32._.KM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028232
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 494447461208680350, 4863547740, 90305922863572844, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.KN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029631
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458728194734, 507231460160740911, 737383283709540630, 776196453793973340, 494447461209773323], 'label': '8192.wy.256._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028234
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115443103742, 494447461208680350, 4863547740, 90305922863572844, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.KP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028235
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [608272580746468256, 249695279010334470, 737383283709540630, 507231460158158244, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540650950844, 3408417444], 'label': '8192.wy.4._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028236
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115443103742, 578306446401254660, 494447461208680350, 4863547740, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.KQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028237
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [578306446401254660, 494447461208680350, 4863547740, 776196453793973340, 945036117355612356, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.KR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028238
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 578306446401254660, 494447461208680350, 4863547740, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.KS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028239
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [578306446401254660, 494447461208680350, 33084272, 4863547740, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.KT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028240
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 507231460158158244, 945036115451471780, 1714817781017002843, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.32._.KU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028241
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 494447461208680350, 4863547740, 1714817781017002843, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.KV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028242
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 945036115451471780, 1714817781017002843, 776196453793973340, 945036117355612356, 4863547740, 494447461208680350], 'label': '8192.wy.32._.KW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028243
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115443103742, 494447461208680350, 4863547740, 1714817781017002843, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.KX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028244
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115443103742, 494447461208680350, 4863547740, 776196453793973340, 861174516873778650, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.KY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028245
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 861174516873778650, 945036117355612356, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.KZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.KZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.KZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028246
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [608272580746468256, 249695279010334470, 737383283709540630, 608272580717079120, 507231460158158244, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028247
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 494447461208680350, 4863547740, 776196453793973340, 861174516873778650, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.LA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028248
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 33084272, 4863547740, 776196453793973340, 861174516873778650, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.LB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028249
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 945036118321918026, 776196453793973340, 945036115457634278, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.LC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028250
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036118321918026, 2079046919403716443, 776196453793973340, 945036115457634278, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.LD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028251
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036118321918026, 776196453793973340, 821243568912537860, 945036115457634278, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.LE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028252
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036118321918026, 776196453793973340, 90305922852676244, 945036115457634278, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.LF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028253
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036118313575356, 494447461208680350, 945036118321918026, 776196453793973340, 90305922852676244, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.LG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028254
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036118313575356, 494447461208680350, 945036118321918026, 776196453793973340, 821243568912537860, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.LH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028255
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036118313575356, 494447461208680350, 945036118321918026, 2079046919403716443, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.LI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028256
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 945036118313575356, 494447461208680350, 945036118321918026, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.LJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028257
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 22207928, 776196453793973340, 945036115450381694, 4863547740, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028258
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 945036118321918026, 4856295156, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.LK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028259
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036118321918026, 4856295156, 2079046919403716443, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.LL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028260
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036118321918026, 4856295156, 776196453793973340, 821243568912537860, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.LM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028261
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036118321918026, 4856295156, 776196453793973340, 90305922852676244, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.LN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028262
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 945036118321918026, 776196453793973340, 90305922852676244, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.LO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028263
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 945036118321918026, 776196453793973340, 821243568912537860, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.LP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028264
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118321918026, 2079046919403716443, 507231460158158244, 11289680, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.LQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028265
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 11289680, 945036118321918026, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.LR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028266
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 507231460158158244, 945036115451471780, 11289680, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.LS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028267
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 507231460158158244, 945036115451471780, 4856295156, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.LT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028268
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028269
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 507231460158158244, 945036115451471780, 945036118313575356, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.LU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028270
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 507231460158158244, 945036115451471780, 776196453793973340, 945036115457634278, 494447461208680350, 3408417444], 'label': '8192.wy.32._.LV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028271
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [821243568905265020, 494447461208680350, 776196453793973340, 945036115457634278, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.LW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028272
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 821243568905265020, 945036115451471780, 945036118313575356, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.LX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028273
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [821243568905265020, 494447461208680350, 4856295156, 776196453793973340, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.LY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028274
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [821243568905265020, 494447461208680350, 11289680, 776196453793973340, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.LZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.LZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.LZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028275
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 776196453793973340, 2079046919418610362, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.MA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028276
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4856295156, 776196453793973340, 2079046919418610362, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.MB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028277
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036118313575356, 494447461208680350, 776196453793973340, 2079046919418610362, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.MC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028278
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 945036115451471780, 776196453793973340, 945036115457634278, 2079046919418610362, 494447461208680350, 3408417444], 'label': '8192.wy.32._.MD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028279
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 23336182, 507231460158158244, 861174516873415764, 3314457, 776196453793973340, 945036115450381694, 4863547740, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028280
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 861174516873778650, 945036115457634278, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.ME', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ME', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ME', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028281
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036118313575356, 494447461208680350, 776196453793973340, 861174516873778650, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.MF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028282
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4856295156, 776196453793973340, 861174516873778650, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.MG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028283
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 776196453793973340, 861174516873778650, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.MH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028284
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 945036115457997164, 23336182, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.MI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028285
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 494447461208680350, 4863547740, 776196453793973340, 945036115457997164, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.MJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028286
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 945036117363227826, 945036115457997164, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.MK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028287
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115436168658, 4863547740, 776196453793973340, 945036115457997164, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.ML', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ML', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ML', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028288
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115436168658, 4863547740, 776196453793973340, 3411000111, 507231460158158244, 945036117366871698, 249695279010334470], 'label': '8192.wy.32._.MM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028289
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 945036117363227826, 3411000111, 507231460158158244, 945036117366871698, 249695279010334470], 'label': '8192.wy.32._.MN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028290
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 34212526, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028291
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 494447461208680350, 4863547740, 776196453793973340, 3411000111, 507231460158158244, 945036117366871698, 249695279010334470], 'label': '8192.wy.32._.MO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028292
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 23336182, 3411000111, 507231460158158244, 945036117366871698, 249695279010334470], 'label': '8192.wy.32._.MP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028293
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 3398266123, 776196453793973340, 23336182, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.MQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028294
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 494447461208680350, 4863547740, 3398266123, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.MR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028295
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 3398266123, 776196453793973340, 945036117363227826, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.MS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028296
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115436168658, 4863547740, 3398266123, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.MT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028297
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115436168658, 4863547740, 12055774, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.MU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028298
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 12055774, 776196453793973340, 945036117363227826, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.MV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028299
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 494447461208680350, 4863547740, 12055774, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.MW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028300
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 12055774, 776196453793973340, 23336182, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.MX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028301
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 861174516873778650, 3408417444], 'label': '8192.wy.4._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028302
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 494447461208680350, 33084272, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.MY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028303
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 945036115450744580, 494447461208680350, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.MZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.MZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.MZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028304
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 494447461208680350, 3314457, 4863547740, 776196453793973340, 945036117355612356, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.NA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028305
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115443103742, 945036115450744580, 494447461208680350, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.NB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028306
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115443103742, 945036117374169668, 494447461208680350, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.NC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028307
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 945036117374169668, 3314457, 776196453793973340, 945036117355612356, 4863547740, 494447461208680350], 'label': '8192.wy.32._.ND', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ND', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ND', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028308
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 945036117374169668, 494447461208680350, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.NE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028309
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 507231460158158244, 945036117374169668, 3314457, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.32._.NF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028310
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3409142490, 33084272, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.NG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028311
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 494447461208680350, 3409142490, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.NH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028312
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.2._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.N', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028313
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 737383283709540630, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 861174516873778650, 3408417444], 'label': '8192.wy.4._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028314
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3409142490, 3314457, 4863547740, 776196453793973340, 945036117355612356, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.NI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028315
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115443103742, 494447461208680350, 3409142490, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.NJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028316
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115443103742, 1134021, 494447461208680350, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.NK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028317
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 4863547740, 776196453793973340, 945036117355612356, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.NL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028318
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 1134021, 494447461208680350, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.NM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028319
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 33084272, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.NN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028320
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 945036117373806782, 1714817781017002843, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.NO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028321
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 861174516873778650, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.NP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028322
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3314457, 1714817781017002843, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.NQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028323
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3314457, 776196453793973340, 861174516873778650, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.NR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028324
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 23336182, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 4863547740, 1099504540658219364, 861174516873778650, 3408417444], 'label': '8192.wy.4._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028325
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.NS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028326
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 861174516873778650, 3408417444], 'label': '8192.wy.32._.NT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028327
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 776196453793973340, 2079046919418610362, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.NU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028328
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 776196453793973340, 861174516873778650, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.NV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028329
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 945036117373806782, 1714817781017002843, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.32._.NW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028330
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 4863547740, 776196453793973340, 861174516873778650, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.NX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028331
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 1714817781017002843, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.NY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028332
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 861174516873778650, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.NZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.NZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.NZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028333
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 507231460158158244, 945036115451471780, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.32._.OA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028334
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 861174516873778650, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.OB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028335
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 3314457, 34212526, 776196453793973340, 945036115450381694, 4863547740, 1099504540658219364, 861174516873778650, 3408417444], 'label': '8192.wy.4._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028336
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115435805772, 4863547740, 776196453793973340, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.OC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028337
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 22207928, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.OD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028338
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 861174516873415764, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.OE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028339
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115435805772, 3314457, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.OF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028340
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 4863547740, 776196453793973340, 22207928, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.OG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028341
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.OH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028342
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 945036115457634278, 23336182, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.OI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028343
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 4846066770, 4866134850, 776196453793973340, 945036115457634278, 494447461208680350, 3408417444], 'label': '8192.wy.32._.OJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028344
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036118332132786, 776196453793973340, 945036115457634278, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.OK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028345
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115436168658, 776196453793973340, 945036115457634278, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.OL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028346
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 1099504540658950884, 22207928, 776196453793973340, 945036115450381694, 4863547740, 3408417444], 'label': '8192.wy.4._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028347
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036118313575356, 494447461208680350, 945036115436168658, 776196453793973340, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.OM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028348
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036118313575356, 494447461208680350, 945036118332132786, 776196453793973340, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.ON', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ON', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ON', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028349
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 4846066770, 4866134850, 945036118313575356, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.OO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028350
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036118313575356, 494447461208680350, 776196453793973340, 23336182, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.OP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028351
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4856295156, 776196453793973340, 23336182, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.OQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028352
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 4846066770, 4866134850, 4856295156, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.OR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028353
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118332132786, 507231460158158244, 4866134850, 4856295156, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.OS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028354
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115436168658, 4856295156, 776196453793973340, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.OT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028355
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115436168658, 249695279010334470, 507231460158158244, 4866134850, 11289680, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.OU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028356
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 945036118332132786, 776196453793973340, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.OV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028357
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ER', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028358
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 4846066770, 4866134850, 11289680, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.OW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028359
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 776196453793973340, 23336182, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.OX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028360
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 494447461208680350, 11289680, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.OY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028361
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 494447461208680350, 4856295156, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.OZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.OZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.OZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028362
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036118313575356, 945036115450744580, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.PA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028363
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 494447461208680350, 3314457, 776196453793973340, 945036115457634278, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.PB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028364
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 945036115457634278, 945036118321190826, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.PC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028365
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036118313575356, 494447461208680350, 3314457, 776196453793973340, 945036118321190826, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.PD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029854
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [737383283709540630, 776196453793973340, 507231460158158244], 'label': '8192.wy.1024._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.X', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028366
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4856295156, 3314457, 776196453793973340, 945036118321190826, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.PE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028367
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 3314457, 776196453793973340, 945036118321190826, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.PF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028368
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 23336182, 507231460158158244, 861174516873415764, 3314457, 1099504540658950884, 776196453793973340, 945036115450381694, 4863547740, 3408417444], 'label': '8192.wy.4._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ES', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028369
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 494447461208680350, 11289680, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.PG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028370
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 494447461208680350, 4856295156, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.PH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028371
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036118313575356, 4864634946, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.PI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028372
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 494447461208680350, 3314457, 776196453793973340, 945036115457634278, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.PJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028373
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 776196453793973340, 945036115457634278, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.PK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028374
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036118313575356, 1134021, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.PL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028375
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 4856295156, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.PM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028376
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 11289680, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.PN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028377
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 945036117373806782, 776196453793973340, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.PO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028378
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 945036117373806782, 776196453793973340, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.PP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028379
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 1099504540658950884, 34212526, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ET', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028380
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 3314457, 945036117373806782, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.PQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028381
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 3314457, 945036117373806782, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.PR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028382
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 2079046919425137900, 4866134850, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.32._.PS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028383
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 4866134850, 861174516865795230, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.32._.PT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028384
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 2079046919425137900, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.PU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028385
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 945036115450381694, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.PV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028386
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 945036117373806782, 4863547740, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.PW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028387
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 945036117373806782, 4863547740, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.PX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028388
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 3314457, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.PY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028389
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 3314457, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.PZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.PZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.PZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028390
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 3314457, 1099504540658950884, 22207928, 776196453793973340, 4863547740, 945036115450381694, 861174516873778650, 3408417444], 'label': '8192.wy.4._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028391
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 25158737, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.QA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028392
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 507231460158158244, 14236187, 3408417444, 249695279010334470], 'label': '8192.wy.32._.QB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028393
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.QC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028394
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 22207928, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.QD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028395
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 507231460158158244, 861174516887947500, 3408417444, 249695279010334470], 'label': '8192.wy.32._.QE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028396
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 36035104, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.QF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028397
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 3426623342, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.QG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028398
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 22207928, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.QH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028399
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781032992603, 494447461208680350, 945036117373806782, 4863547740, 1714817781025709149, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.QI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028400
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 4863547740, 1714817781025709149, 776196453793973340, 861174516889768410, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.QJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028401
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 737383283709540630, 507231460158158244, 3314457, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 861174516873778650, 3408417444], 'label': '8192.wy.4._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028402
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781032992603, 494447461208680350, 861174516867979765, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.QK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028403
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 861174516867979765, 945036117373806782, 4863547740, 776196453793973340, 861174516889768410, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.QL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028404
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 945036117373806782, 776196453793973340, 4863547740, 1714817781031171716, 1714817781025709149, 494447461208680350], 'label': '8192.wy.32._.QM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028405
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 507231460158158244, 945036117373806782, 776196453793973340, 4863547740, 1714817781025709149, 494447461208680350], 'label': '8192.wy.32._.QN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028406
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 945036117373806782, 776196453793973340, 4863547740, 1714817781031171716, 861174516867979765, 494447461208680350], 'label': '8192.wy.32._.QO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028407
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 507231460158158244, 945036117373806782, 776196453793973340, 4863547740, 861174516867979765, 494447461208680350], 'label': '8192.wy.32._.QP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028408
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781032992603, 494447461208680350, 1714817781023892564, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.QQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028409
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 945036117373806782, 4863547740, 776196453793973340, 861174516889768410, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.QR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028410
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781032992603, 861174516865795230, 494447461208680350, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.QS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028411
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 945036117373806782, 4863547740, 776196453793973340, 861174516889768410, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.QT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028412
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 23336182, 507231460158158244, 3314457, 1099504540658950884, 776196453793973340, 945036115450381694, 4863547740, 861174516873778650, 3408417444], 'label': '8192.wy.4._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028413
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781031171716, 494447461208680350, 1714817781023892564, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.QU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028414
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 861174516887947500, 249695279010334470], 'label': '8192.wy.32._.QV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028415
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 1714817781031171716, 494447461208680350, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.QW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028416
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 861174516887947500, 249695279010334470], 'label': '8192.wy.32._.QX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028417
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3418288581, 4863547740, 776196453793973340, 1714817781018456565, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.QY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028418
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 1714817781018456565, 36035104, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.QZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.QZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.QZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028419
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3418288581, 4863547740, 861174516875232349, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.RA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028420
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 861174516875232349, 776196453793973340, 36035104, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.RB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028421
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 1714817781018456565, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.RC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028422
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 33084272, 4863547740, 776196453793973340, 1714817781018456565, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.RD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028423
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 23336182, 507231460158158244, 861174516873415764, 11289680, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.2._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.O', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028424
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 3314457, 1099504540658950884, 34212526, 776196453793973340, 945036115450381694, 4863547740, 861174516873778650, 3408417444], 'label': '8192.wy.4._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028425
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 945036115450381694, 494447461208680350, 4863547740, 861174516875232349, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.RE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028426
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 33084272, 4863547740, 861174516875232349, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.RF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028427
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 494447461208680350, 3418288581, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.RG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028428
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 494447461208680350, 4863547740, 776196453793973340, 36035104, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.RH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028429
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3418288581, 4863547740, 776196453793973340, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.RI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028430
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 861174516873415764, 36035104, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.RJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029632
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458728194734, 507231460160740911, 737383283709540630, 776196453793973340, 13160703092503774], 'label': '8192.wy.256._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028431
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 945036115450381694, 1714817781016272030, 494447461208680350, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.RK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028432
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 494447461208680350, 33084272, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.RL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028433
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.RM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028434
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 33084272, 4863547740, 776196453793973340, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.RN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028435
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 1134021, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028436
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 90305922853807366, 945036118320827940, 945036115458724364, 507231460158158244, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.RO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028437
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036115458724364, 945036118320827940, 507231460158158244, 776196453793973340, 861174516889768410, 494447461208680350, 3408417444], 'label': '8192.wy.32._.RP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028438
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 90305922853807366, 945036118320827940, 507231460158158244, 14236187, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.RQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028439
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 776196453793973340, 14236187, 861174516889768410, 494447461208680350, 3408417444], 'label': '8192.wy.32._.RR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028440
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922851951198, 249695279010334470, 945036115458724364, 945036118320827940, 507231460158158244, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.RS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028441
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036115458724364, 861174516887947500, 945036118320827940, 507231460158158244, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.RT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028442
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922851951198, 249695279010334470, 945036118320827940, 507231460158158244, 776196453793973340, 14236187, 494447461208680350, 3408417444], 'label': '8192.wy.32._.RU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028443
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 861174516887947500, 507231460158158244, 14236187, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.RV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028444
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 90305922853807366, 945036118320827940, 507231460158158244, 776196453793973340, 945036115457634278, 494447461208680350, 3408417444], 'label': '8192.wy.32._.RW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028445
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 776196453793973340, 861174516889768410, 945036115457634278, 494447461208680350, 3408417444], 'label': '8192.wy.32._.RX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028446
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028447
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 90305922853807366, 945036118320827940, 507231460158158244, 11289680, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.RY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028448
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 776196453793973340, 861174516889768410, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.RZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.RZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.RZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028449
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 90305922851951198, 945036115457634278, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.SA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028450
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 861174516887947500, 507231460158158244, 776196453793973340, 945036115457634278, 494447461208680350, 3408417444], 'label': '8192.wy.32._.SB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028451
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 776196453793973340, 90305922851951198, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.SC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028452
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 861174516887947500, 507231460158158244, 11289680, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.SD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028453
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 4858882243, 2079046919419706203, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.SE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028454
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 2079046919419706203, 507231460158158244, 14236187, 3408417444, 249695279010334470], 'label': '8192.wy.32._.SF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028455
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 861174516875232349, 776196453793973340, 4858882243, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.SG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028456
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516875232349, 249695279010334470, 507231460158158244, 14236187, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.32._.SH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028457
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540650950844, 3408417444], 'label': '8192.wy.4._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028458
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4856295156, 776196453793973340, 2079046919419706203, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.SI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028459
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 776196453793973340, 2079046919419706203, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.SJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028460
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4856295156, 861174516875232349, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.SK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028461
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 861174516875232349, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.SL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028462
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 2079046919417885316, 776196453793973340, 4858882243, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.SM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028463
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 507231460158158244, 14236187, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.32._.SN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028464
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 4858882243, 861174516873415764, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.SO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028465
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 861174516873415764, 507231460158158244, 14236187, 3408417444, 249695279010334470], 'label': '8192.wy.32._.SP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028466
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4856295156, 2079046919417885316, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.SQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028467
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 2079046919417885316, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.SR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028468
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1099504540632459030, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028469
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4856295156, 776196453793973340, 861174516873415764, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.SS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028470
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 776196453793973340, 861174516873415764, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.ST', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ST', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ST', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028471
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 945036118321918026, 776196453793973340, 22207928, 90305922856320260, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.SU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028472
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4845341724, 249695279010334470, 945036118321918026, 90305922856320260, 1978453934, 507231460158158244, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.SV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028473
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 945036118321918026, 776196453793973340, 945036118331769900, 90305922856320260, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.SW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028474
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 945036118321918026, 90305922856320260, 1978453934, 507231460158158244, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.SX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028475
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [821243568908893844, 1978453934, 494447461208680350, 945036115435805772, 945036118321918026, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.SY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028476
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [821243568908893844, 1978453934, 494447461208680350, 945036118321918026, 776196453793973340, 945036118331769900, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.SZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.SZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.SZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028477
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [821243568908893844, 1978453934, 494447461208680350, 4845341724, 945036118321918026, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.TA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028478
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [821243568908893844, 1978453934, 494447461208680350, 945036118321918026, 776196453793973340, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.TB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028479
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 608272580728344362, 1134021, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028480
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 945036118321918026, 2079046919425862946, 776196453793973340, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.TC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028481
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4845341724, 2079046919425862946, 249695279010334470, 945036118321918026, 1978453934, 507231460158158244, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.TD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028482
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 945036118321918026, 2079046919425862946, 776196453793973340, 945036118331769900, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.TE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028483
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115435805772, 2079046919425862946, 249695279010334470, 945036118321918026, 1978453934, 507231460158158244, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.TF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028484
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115435805772, 861174516866526043, 249695279010334470, 945036118321918026, 1978453934, 507231460158158244, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.TG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028485
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 1978453934, 494447461208680350, 945036118321918026, 776196453793973340, 945036118331769900, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.TH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028486
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4845341724, 861174516866526043, 249695279010334470, 945036118321918026, 1978453934, 507231460158158244, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.TI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028487
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 1978453934, 494447461208680350, 945036118321918026, 776196453793973340, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.TJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028488
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 1978453934, 507231460158158244, 945036115451471780, 776196453793973340, 22207928, 494447461208680350], 'label': '8192.wy.32._.TK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028489
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4845341724, 90305922863572844, 249695279010334470, 1978453934, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.TL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028490
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 737383283709540630, 507231460158158244, 608272580728344362, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028491
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 1978453934, 945036118331769900, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.TM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028492
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115435805772, 90305922863572844, 249695279010334470, 1978453934, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.TN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028493
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [821243568905265020, 1978453934, 494447461208680350, 945036115435805772, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.TO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028494
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [821243568905265020, 1978453934, 494447461208680350, 776196453793973340, 945036118331769900, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.TP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028495
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [821243568905265020, 1978453934, 494447461208680350, 4845341724, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.TQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028496
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [821243568905265020, 1978453934, 494447461208680350, 776196453793973340, 22207928, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.TR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028497
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 776196453793973340, 22207928, 2079046919418610362, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.TS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028498
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 4845341724, 776196453793973340, 2079046919418610362, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.TT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028499
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 776196453793973340, 945036118331769900, 2079046919418610362, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.TU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028500
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 945036115435805772, 776196453793973340, 2079046919418610362, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.TV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028501
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 608272580728344362, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540650950844, 3408417444], 'label': '8192.wy.4._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028502
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 945036115435805772, 776196453793973340, 861174516873778650, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.TW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028503
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 776196453793973340, 945036118331769900, 861174516873778650, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.TX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028504
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 4845341724, 776196453793973340, 861174516873778650, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.TY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028505
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1978453934, 507231460158158244, 945036115451471780, 776196453793973340, 22207928, 494447461208680350, 861174516873778650], 'label': '8192.wy.32._.TZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.TZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.TZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028506
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 776196453793973340, 22207928, 945036115457997164, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.UA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028507
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 4845341724, 776196453793973340, 945036115457997164, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.UB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028508
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 776196453793973340, 945036118331769900, 945036115457997164, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.UC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028509
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 945036115435805772, 776196453793973340, 945036115457997164, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.UD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028510
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 1978453934, 507231460158158244, 4866134850, 945036118313938242, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.UE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028511
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1978453934, 945036118331769900, 507231460158158244, 4866134850, 945036118313938242, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.UF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028512
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1099504540632459030, 249695279010334470, 737383283709540630, 507231460158158244, 608272580728344362, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028513
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4845341724, 249695279010334470, 1978453934, 507231460158158244, 4866134850, 945036118313938242, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.UG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028514
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1978453934, 507231460158158244, 4866134850, 945036118313938242, 776196453793973340, 22207928, 494447461208680350], 'label': '8192.wy.32._.UH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028515
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 1978453934, 494447461208680350, 776196453793973340, 22207928, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.UI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028516
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 1978453934, 494447461208680350, 4845341724, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.UJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028517
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 1978453934, 494447461208680350, 776196453793973340, 945036118331769900, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.UK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028518
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 1978453934, 494447461208680350, 945036115435805772, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.UL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028519
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 12055774, 1978453934, 507231460158158244, 4866134850, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.UM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028520
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 1978453934, 945036118331769900, 507231460158158244, 4866134850, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.UN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028521
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 494447461208680350, 945036117373806782, 4863547740, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.UO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028522
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 1978453934, 507231460158158244, 4866134850, 776196453793973340, 22207928, 494447461208680350], 'label': '8192.wy.32._.UP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028523
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 1134021, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028524
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 1978453934, 494447461208680350, 3314457, 776196453793973340, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.UQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028525
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 1978453934, 494447461208680350, 4845341724, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.UR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028526
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 1978453934, 494447461208680350, 3314457, 776196453793973340, 945036118331769900, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.US', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.US', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.US', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028527
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 1978453934, 494447461208680350, 945036115435805772, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.UT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028528
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 945036115435805772, 3314457, 776196453793973340, 945036118321190826, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.UU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028529
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 3314457, 776196453793973340, 945036118331769900, 945036118321190826, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.UV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028530
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 4845341724, 3314457, 776196453793973340, 945036118321190826, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.UW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028531
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 3314457, 776196453793973340, 22207928, 945036118321190826, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.UX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028532
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 1978453934, 494447461208680350, 3314457, 776196453793973340, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.UY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028533
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 1978453934, 494447461208680350, 4845341724, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.UZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.UZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.UZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028534
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.2._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.P', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028535
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 737383283709540630, 507231460158158244, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028536
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 1978453934, 494447461208680350, 3314457, 776196453793973340, 945036118331769900, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.VA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028537
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 1978453934, 494447461208680350, 945036115435805772, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.VB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028538
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 1978453934, 494447461208680350, 945036115435805772, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.VC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028539
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 1978453934, 494447461208680350, 3314457, 776196453793973340, 945036118331769900, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.VD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028540
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 1978453934, 494447461208680350, 4845341724, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.VE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028541
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 1978453934, 494447461208680350, 3314457, 776196453793973340, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.VF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028542
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 3411000111, 507231460158158244, 945036117373806782, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.32._.VG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028543
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 494447461208680350, 3314457, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.VH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028544
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 494447461208680350, 3314457, 945036117373806782, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.VI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028545
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 945036117373806782, 776196453793973340, 23336182, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.VJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028546
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 737383283709540630, 507231460158158244, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028547
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 945036115450381694, 1978453934, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.VK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028548
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3314457, 776196453793973340, 23336182, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.VL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028549
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115436168658, 249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.VM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028550
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 23336182, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.VN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028551
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 4846066770, 4866134850, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.32._.VO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028552
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3416788818, 945036118320827940, 3411000111, 507231460158158244, 945036117373806782, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.VP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028553
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 34212526, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.VQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028554
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3416788818, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.VR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028555
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 34212526, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.VS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028556
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 945036115443466628, 494447461208680350, 3408417444], 'label': '8192.wy.32._.VT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028557
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516880694916, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028558
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 34212526, 494447461208680350, 3408417444], 'label': '8192.wy.32._.VU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028559
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 4835190403, 507231460158158244, 4866134850, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.32._.VV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028560
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 34212526, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.VW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028561
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3416788818, 507231460158158244, 945036117373806782, 3314457, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.32._.VX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028562
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 945036117373806782, 4863547740, 776196453793973340, 34212526, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.VY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028563
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3416788818, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.VZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.VZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.VZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028564
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3429210334, 945036117373806782, 1714817781025709149, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028565
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 1714817781025709149, 776196453793973340, 25158737, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028566
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3429210334, 861174516867979765, 945036117373806782, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028567
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 861174516867979765, 945036117373806782, 776196453793973340, 25158737, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028568
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 3314457, 776196453793973340, 945036115450381694, 4863547740, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028569
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 1714817781025709149, 776196453793973340, 3426623342, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028570
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 1714817781025709149, 776196453793973340, 22207928, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028571
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 861174516867979765, 945036117373806782, 776196453793973340, 3426623342, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028572
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 861174516867979765, 945036117373806782, 776196453793973340, 22207928, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028573
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3429210334, 1714817781023892564, 945036117373806782, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028574
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 945036117373806782, 776196453793973340, 25158737, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028575
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 3429210334, 945036117373806782, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028576
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 945036117373806782, 776196453793973340, 25158737, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028577
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 945036117373806782, 776196453793973340, 3426623342, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028578
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 945036117373806782, 776196453793973340, 22207928, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028579
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028580
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 945036117373806782, 776196453793973340, 3426623342, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028581
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 945036117373806782, 776196453793973340, 22207928, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028582
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3429210334, 776196453793973340, 1714817781018456565, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028583
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 1714817781018456565, 25158737, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028584
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3429210334, 861174516875232349, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028585
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 861174516875232349, 776196453793973340, 25158737, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028586
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 1714817781018456565, 3426623342, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028587
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 22207928, 1714817781018456565, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028588
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 861174516875232349, 776196453793973340, 3426623342, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028589
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 861174516875232349, 776196453793973340, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028590
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 3314457, 776196453793973340, 945036115450381694, 4863547740, 1099504540658219364, 861174516873778650, 3408417444], 'label': '8192.wy.4._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028591
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 1978453934, 494447461208680350, 3429210334, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028592
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 1978453934, 494447461208680350, 776196453793973340, 25158737, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.WZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.WZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.WZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028593
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3429210334, 776196453793973340, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.XA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028594
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 861174516873415764, 25158737, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.XB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028595
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 1978453934, 494447461208680350, 776196453793973340, 3426623342, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.XC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028596
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 1978453934, 494447461208680350, 776196453793973340, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.XD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028597
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 861174516873415764, 3426623342, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.XE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028598
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 861174516873415764, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.XF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028599
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 945036115458724364, 776196453793973340, 945036115436895858, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.XG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028600
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 945036115458724364, 776196453793973340, 25158737, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.XH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028601
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 861174516873778650, 3408417444], 'label': '8192.wy.4._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028602
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 945036115436895858, 507231460158158244, 14236187, 3408417444, 249695279010334470], 'label': '8192.wy.32._.XI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028603
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 25158737, 507231460158158244, 14236187, 3408417444, 249695279010334470], 'label': '8192.wy.32._.XJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028604
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115435805772, 4863547740, 945036115458724364, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.XK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028605
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 945036115458724364, 776196453793973340, 22207928, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.XL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028606
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115435805772, 4863547740, 776196453793973340, 507231460158158244, 14236187, 3408417444, 249695279010334470], 'label': '8192.wy.32._.XM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028607
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 22207928, 507231460158158244, 14236187, 3408417444, 249695279010334470], 'label': '8192.wy.32._.XN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028608
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 945036115436895858, 945036115457634278, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.XO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028609
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 945036115457634278, 25158737, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.XP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028610
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 4863547740, 776196453793973340, 945036115436895858, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.XQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028611
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 4863547740, 776196453793973340, 25158737, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.XR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028612
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 3314457, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028613
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115435805772, 4863547740, 776196453793973340, 945036115457634278, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.XS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028614
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 22207928, 945036115457634278, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.XT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028615
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115435805772, 11289680, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.XU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028616
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 4863547740, 776196453793973340, 22207928, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.XV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028617
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781039149346, 494447461208680350, 3314457, 945036117373806782, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.XW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028618
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516881419962, 249695279010334470, 945036118320827940, 507231460158158244, 945036117373806782, 3314457, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.XX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028619
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781039149346, 249695279010334470, 3411000111, 1978453934, 507231460158158244, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.32._.XY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028620
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516881419962, 249695279010334470, 3411000111, 1978453934, 507231460158158244, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.32._.XZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.XZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.XZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028621
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 3314457, 90305922849047420, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.YA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028622
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516881419962, 249695279010334470, 945036118320827940, 507231460158158244, 3314457, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.YB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028623
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028624
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 2079046919410969050, 776196453793973340, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.YC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028625
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516881419962, 249695279010334470, 507231460158158244, 4866134850, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.32._.YD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028626
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781039149346, 494447461208680350, 945036117373806782, 4863547740, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.YE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028627
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516881419962, 249695279010334470, 3411000111, 507231460158158244, 945036117373806782, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.32._.YF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028628
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781039149346, 945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.YG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028629
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 861174516881419962, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.YH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028630
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 945036115451471780, 90305922849047420, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.32._.YI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028631
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516881419962, 249695279010334470, 507231460158158244, 945036115451471780, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.32._.YJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028632
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 34212526, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.YK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028633
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115443466628, 494447461208680350, 3314457, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.YL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028634
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 3314457, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 861174516873778650, 3408417444], 'label': '8192.wy.4._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028635
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 4863547740, 776196453793973340, 34212526, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.YM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028636
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 23336182, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.YN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028637
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 494447461208680350, 945036117373806782, 4863547740, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.YO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028638
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 4863547740, 776196453793973340, 23336182, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.YP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028639
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.YQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028640
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 23336182, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.YR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028641
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115436168658, 3314457, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.YS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028642
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 4863547740, 776196453793973340, 23336182, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.YT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028643
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 507231460158158244, 945036117373806782, 3314457, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.32._.YU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028644
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.YV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028645
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 1099504540643719230, 608272580728344362, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540650950844, 3408417444], 'label': '8192.wy.2._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.Q', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028646
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 507231460158158244, 3314457, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 861174516873778650, 3408417444], 'label': '8192.wy.4._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028647
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 33084272, 4863547740, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.YW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028648
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.YX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028649
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 3411000111, 1978453934, 507231460158158244, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.32._.YY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028650
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 861174516867979765, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.YZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.YZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.YZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028651
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 861174516873415764, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.ZA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028652
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 1978453934, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.ZB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028653
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3314457, 776196453793973340, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.ZC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028654
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 507231460158158244, 4866134850, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.32._.ZD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028655
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 861174516873415764, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.ZE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028656
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 2079046919417885316, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.ZF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028657
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028658
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 776196453793973340, 861174516873415764, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.ZG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028659
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 494447461208680350, 4863547740, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.ZH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028660
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 861174516873415764, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.ZI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028661
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 494447461208680350, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.ZJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028662
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.ZK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028663
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.ZL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028664
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 33084272, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.ZM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028665
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115443103742, 494447461208680350, 4863547740, 776196453793973340, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.ZN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028666
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 507231460158158244, 945036115451471780, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.32._.ZO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028667
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115443103742, 494447461208680350, 3314457, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.ZP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028668
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 1099504540643719230, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028669
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.32._.ZQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028670
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 945036117373806782, 776196453793973340, 3426623342, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.ZR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028671
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 945036115457634278, 494447461208680350, 3408417444], 'label': '8192.wy.32._.ZS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028672
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 11289680, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.ZT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028673
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 945036117373806782, 776196453793973340, 1714817781024255450, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.ZU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028674
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 945036118320827940, 507231460158158244, 945036117373806782, 3314457, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.ZV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028675
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 1714817781024255450, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.ZW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028676
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 3411000111, 1978453934, 507231460158158244, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.32._.ZX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028677
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 90305922856320260, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.ZY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028678
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.ZZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.ZZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.ZZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028679
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 608272580728344362, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028680
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 2079046919425862946, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BAA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028681
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 861174516866526043, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BAB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028682
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 945036117373806782, 4863547740, 776196453793973340, 1714817781024255450, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BAC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028683
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 507231460158158244, 945036117373806782, 3314457, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.32._.BAD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028684
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 1714817781024255450, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BAE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028685
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 861174516866526043, 494447461208680350, 4863547740, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BAF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028686
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 90305922856320260, 507231460158158244, 945036115451471780, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.32._.BAG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028687
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 507231460158158244, 945036115451471780, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.32._.BAH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028688
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 1714817781038424300, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BAI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028689
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 945036117373806782, 861174516880694916, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.BAJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028690
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 1099504540643719230, 608272580728344362, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028691
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 945036117373806782, 776196453793973340, 1714817781038424300, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BAK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028692
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 945036117373806782, 861174516880694916, 3314457, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.BAL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028693
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922848322374, 249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.BAM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028694
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 861174516880694916, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.BAN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028695
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922848322374, 249695279010334470, 945036118320827940, 507231460158158244, 3314457, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.BAO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028696
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 861174516880694916, 3314457, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.BAP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028697
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 1714817781038424300, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BAQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028698
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 861174516880694916, 4863547740, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BAR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028699
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 1714817781038424300, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BAS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028700
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 861174516880694916, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BAT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028701
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028702
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 945036115457634278, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BAU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028703
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 1978453934, 507231460158158244, 776196453793973340, 945036115450381694, 1714817781031171716, 494447461208680350], 'label': '8192.wy.32._.BAV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028704
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 861174516887947500, 1978453934, 507231460158158244, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.32._.BAW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028705
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781031171716, 1978453934, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BAX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028706
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 861174516887947500, 249695279010334470], 'label': '8192.wy.32._.BAY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028707
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922851951198, 249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.BAZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BAZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BAZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028708
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 861174516887947500, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.BBA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028709
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 90305922851951198, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BBB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028710
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 861174516887947500, 507231460158158244, 3314457, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.BBC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028711
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 945036117373806782, 776196453793973340, 4863547740, 1714817781031171716, 494447461208680350], 'label': '8192.wy.32._.BBD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028712
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516865795230, 3314457, 1134021, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028713
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 861174516887947500, 507231460158158244, 945036117373806782, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.32._.BBE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028714
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 945036117373806782, 3314457, 776196453793973340, 4863547740, 1714817781031171716, 494447461208680350], 'label': '8192.wy.32._.BBF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028715
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 507231460158158244, 945036117373806782, 3314457, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.32._.BBG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028716
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BBH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028717
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4856295156, 776196453793973340, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BBI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028718
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 3398266123, 945036117373806782, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.BBJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028719
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 945036118320827940, 3411000111, 507231460158158244, 945036117373806782, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.BBK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028720
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 1978453934, 507231460158158244, 3398266123, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.32._.BBL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028721
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 1978453934, 507231460158158244, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.32._.BBM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028722
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 945036115457997164, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BBN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028723
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028724
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 945036118320827940, 507231460158158244, 3314457, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.32._.BBO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028725
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 945036115450381694, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BBP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028726
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 12055774, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BBQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028727
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 3398266123, 945036117373806782, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.32._.BBR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028728
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 1714817781031896762, 945036117373806782, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.BBS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028729
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 945036117373806782, 776196453793973340, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BBT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028730
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3314457, 1714817781031896762, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BBU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028731
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 945036115450381694, 1978453934, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BBV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028732
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 90305922852676244, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BBW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028733
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BBX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028734
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 4864634946, 249695279010334470, 737383283709540630, 507231460158158244, 2193602955116734230, 11289680, 3314457, 776196453793973340, 945036115450381694, 3408417444], 'label': '8192.wy.4._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028735
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 2079046919403716443, 507231460158158244, 4866134850, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.32._.BBY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028736
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 4866134850, 861174516888672546, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.32._.BBZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BBZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BBZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028737
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1714817781031896762, 945036117373806782, 3314457, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.32._.BCA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028738
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 3314457, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BCB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028739
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 1714817781031896762, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BCC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028740
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BCD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028741
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 90305922852676244, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BCE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028742
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 4863547740, 776196453793973340, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BCF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028743
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 507231460158158244, 945036117373806782, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.32._.BCG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028744
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 3398266123, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BCH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028745
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 25158737, 11289680, 776196453793973340, 945036115450381694, 4863547740, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028746
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 12055774, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BCI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028747
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 4863547740, 776196453793973340, 945036115457997164, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BCJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028748
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 507231460158158244, 3314457, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.32._.BCK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028749
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 776196453793973340, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BCL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028750
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 861174516882515803, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BCM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028751
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4856295156, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BCN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028752
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BCO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028753
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 945036115457634278, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BCP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028754
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 4863547740, 776196453793973340, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BCQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028755
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 861174516875232349, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BCR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028756
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 1099504540643719230, 608272580728344362, 1134021, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.2._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.R', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028757
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 22207928, 14236187, 776196453793973340, 945036115450381694, 4863547740, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028758
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3409142490, 3314457, 945036117373806782, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BCS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028759
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 945036117373806782, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BCT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029633
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460160740911, 4863547740, 737383283709540630, 776196453793973340, 13160703092503774], 'label': '8192.wy.256._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028760
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3409142490, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BCU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028761
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 945036115450381694, 1978453934, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BCV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028762
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 494447461208680350, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BCW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028763
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BCX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028764
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 945036115450381694, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BCY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028765
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 945036115450381694, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BCZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BCZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BCZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028766
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3409142490, 3314457, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BDA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BDA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BDA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028767
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BDB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BDB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BDB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028768
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 25158737, 14236187, 776196453793973340, 945036115450381694, 4863547740, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028769
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3409142490, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BDC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BDC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BDC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028770
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BDD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BDD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BDD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028771
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 494447461208680350, 3314457, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BDE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BDE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BDE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028772
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BDF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BDF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BDF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028773
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 4863547740, 776196453793973340, 945036115457634278, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BDG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BDG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BDG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028774
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 3314457, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BDH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BDH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BDH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028775
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 945036117373806782, 776196453793973340, 22207928, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BDI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BDI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BDI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028776
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 33084272, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BDJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BDJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BDJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028777
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 3426623342, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BDK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BDK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BDK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028778
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 861174516880694916, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BDL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BDL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BDL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028779
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [861174516875232349, 249695279010334470, 737383283709540630, 507231460158158244, 11289680, 22207928, 776196453793973340, 945036115450381694, 4863547740, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028780
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 22207928, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BDM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BDM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BDM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028781
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3314457, 776196453793973340, 3426623342, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BDN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BDN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BDN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028782
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3314457, 776196453793973340, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.32._.BDO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BDO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BDO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028783
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 861174516889768410, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.32._.BDP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BDP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BDP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028784
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4845341724, 249695279010334470, 12055774, 1978453934, 507231460158158244, 4866134850, 776196453793973340, 494447461208680350], 'label': '8192.wy.32._.BDQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BDQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BDQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028785
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 737383283709540630, 507231460158158244, 3314457, 776196453793973340, 4863547740, 494447461209773323], 'label': '8192.wy.64._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028786
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 494447461208680350, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028787
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 861174516873415764, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028788
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 1346691766808049900, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028789
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 4863547740, 737383283709540630, 776196453793973340, 494447461238130542, 494447461209773323, 507231460158158244], 'label': '8192.wy.64._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.E', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028790
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [861174516875232349, 249695279010334470, 737383283709540630, 507231460158158244, 25158737, 11289680, 776196453793973340, 945036115450381694, 4863547740, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028791
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 2079046919417885316, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028792
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 494447461208680350, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029855
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 776196453795060546, 269008240778677934], 'label': '8192.wy.1024._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.Y', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028795
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 3314457, 4863547740, 737383283709540630, 776196453793973340, 494447461238130542, 507231460158158244], 'label': '8192.wy.64._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.J', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028796
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 2079046919417885316, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.K', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028797
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 494447461208680350, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.L', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028798
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 861174516873415764, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028799
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 776196453793973340, 1346691766808049900, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.N', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028800
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 737383283709540630, 507231460158158244, 1134021, 3314457, 776196453793973340, 4863547740], 'label': '8192.wy.64._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.O', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028801
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [861174516875232349, 249695279010334470, 737383283709540630, 507231460158158244, 22207928, 14236187, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028802
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 2079046919417885316, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.P', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028803
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.Q', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028804
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 776196453793973340, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.R', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028805
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 1714817781018456565, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.S', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028806
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 3314457, 776196453793973340, 249695279011065283, 507231460158158244, 3408417444], 'label': '8192.wy.64._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.T', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028807
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 861174516875232349, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.U', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028808
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 2079046919419706203, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.V', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028809
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 861174516875232349, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.W', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028810
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 1714817781018456565, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.X', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028811
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 249695279011065283, 507231460158158244, 249695279017955004, 3408417444], 'label': '8192.wy.64._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.Y', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028812
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [861174516875232349, 249695279010334470, 737383283709540630, 507231460158158244, 25158737, 14236187, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028813
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 861174516875232349, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.Z', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028814
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 507231460158158244, 14236187, 3408417444, 249695279010334470], 'label': '8192.wy.64._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028815
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 945036115458724364, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028816
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 507231460158158244, 14236187, 3408417444, 249695279010334470], 'label': '8192.wy.64._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028817
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 249695279017955004, 3408417444], 'label': '8192.wy.64._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028818
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028819
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 1978453934, 494447461208680350, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028820
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028821
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 2079046919417885316, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028822
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 11289680, 3314457, 776196453793973340, 507231460158158244, 3408417444], 'label': '8192.wy.64._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028823
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 23336182, 507231460158158244, 861174516873415764, 4866134850, 11289680, 776196453793973340, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028824
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 861174516873415764, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028825
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 494447461208680350, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028826
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028827
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028828
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028829
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 3314457, 776196453793973340, 22207928, 494447461209773323, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029902
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460160740911, 288173603505978524], 'label': '8192.wy.2048._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.K', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028830
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 4863547740, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028831
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028832
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117374896868, 4863547740, 776196453793973340, 945036117355612356, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028833
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115443103742, 494447461208680350, 945036117374896868, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028834
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 4846066770, 4866134850, 11289680, 776196453793973340, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028835
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461227208812, 1978453934, 3314457, 776196453793973340, 494447461209773323, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028836
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 494447461208680350, 945036117374896868, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028837
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 33084272, 945036117374896868, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028838
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 945036117355612356, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028839
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115443103742, 494447461208680350, 4863547740, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028840
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461227208812, 1134021, 1978453934, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028841
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 494447461208680350, 4863547740, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028842
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 33084272, 4863547740, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028843
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 945036117355612356, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028844
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115443103742, 494447461208680350, 4863547740, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028845
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 4846066770, 4866134850, 4856295156, 776196453793973340, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028846
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 1978453934, 3314457, 776196453793973340, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028847
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 494447461208680350, 4863547740, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028848
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 33084272, 4863547740, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028849
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 4863547740, 776196453793973340, 945036117355612356, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028850
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115443103742, 494447461208680350, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028851
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 1346691766786628443, 507231460158158244, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.64._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028852
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781039149346, 494447461208680350, 945036116397438036, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028853
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 2079046919410969050, 945036116397438036, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028854
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516881419962, 249695279010334470, 3411000111, 507231460158158244, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.64._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028855
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781039149346, 494447461208680350, 945036117373806782, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028856
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 23336182, 507231460158158244, 861174516873415764, 4866134850, 4856295156, 776196453793973340, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028857
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1346691766786628443, 494447461208680350, 945036117373806782, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028858
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 2079046919410969050, 945036117373806782, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028859
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 861174516881419962, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028860
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 2079046919410969050, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028861
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1346691766786628443, 494447461208680350, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028862
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781039149346, 494447461208680350, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028863
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 861174516881419962, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028864
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 2079046919410969050, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029903
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460160740911, 494447461209773323], 'label': '8192.wy.2048._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.L', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028865
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1346691766786628443, 494447461208680350, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028866
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781039149346, 945036115450381694, 494447461208680350, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028867
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 23336182, 507231460158158244, 3314457, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 861174516873778650, 3408417444], 'label': '8192.wy.2._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028868
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 608272580728344362, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540650950844, 3408417444], 'label': '8192.wy.2._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.S', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028869
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 737383283709540630, 23336182, 507231460158158244, 4866134850, 4856295156, 776196453793973340, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028870
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 861174516881419962, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028871
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 945036118321918026, 90305922849047420, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028872
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [821243568919790444, 1978453934, 494447461208680350, 945036118321918026, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028873
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 945036118321918026, 2079046919410969050, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028874
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 945036118321918026, 861174516881419962, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028875
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036118321918026, 90305922849047420, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028876
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [821243568919790444, 494447461208680350, 945036118321918026, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028877
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036118321918026, 2079046919410969050, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028878
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036118321918026, 861174516881419962, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028879
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 90305922849047420, 4863547740, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028880
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 737383283709540630, 507231460158158244, 4846066770, 4866134850, 4856295156, 776196453793973340, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028881
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 578306446397610644, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028882
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781039149346, 494447461208680350, 4863547740, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028883
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 861174516881419962, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028884
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 494447461208680350, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028885
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 33084272, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028886
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3429210334, 945036117373806782, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028887
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 25158737, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028888
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3429210334, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028889
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 25158737, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028890
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 945036115436895858, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028891
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 737383283709540630, 507231460158158244, 4846066770, 4866134850, 11289680, 776196453793973340, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028892
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 945036115457634278, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028893
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1346691766801522362, 945036116397438036, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028894
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036116397438036, 776196453793973340, 1714817781024255450, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028895
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919425862946, 249695279010334470, 507231460158158244, 4866134850, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.64._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DU', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255028896
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 507231460158158244, 4866134850, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.64._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028897
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 945036117373806782, 776196453793973340, 1714817781024255450, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028898
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1346691766801522362, 3314457, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029674
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460165442412, 507231460160740911, 4863547740, 737383283709540630, 776196453793973340], 'label': '8192.wy.256._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.EK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028899
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 945036117373806782, 2079046919425862946, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028900
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 494447461208680350, 3314457, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028901
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919425862946, 249695279010334470, 945036118320827940, 507231460158158244, 1981001417, 776196453793973340, 494447461208680350], 'label': '8192.wy.64._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028902
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 737383283709540630, 23336182, 507231460158158244, 4866134850, 11289680, 776196453793973340, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028903
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1346691766801522362, 776196453793973340, 1981001417, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028904
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 1714817781024255450, 1981001417, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028905
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 945036118320827940, 507231460158158244, 1981001417, 776196453793973340, 494447461208680350], 'label': '8192.wy.64._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.ED', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028906
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 2079046919425862946, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028907
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1346691766801522362, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028908
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 1714817781024255450, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028909
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 861174516866526043, 494447461208680350, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028910
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 945036118321918026, 776196453793973340, 90305922856320260, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028911
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [821243568908893844, 1978453934, 494447461208680350, 945036118321918026, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028912
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 945036118321918026, 2079046919425862946, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028913
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 12055774, 945036118320827940, 737383283709540630, 507231460158158244, 4866134850, 945036117373806782, 22207928, 776196453793973340, 1099504540658219364, 861174516873778650], 'label': '8192.wy.4._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028914
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 1978453934, 494447461208680350, 945036118321918026, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028915
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 90305922856320260, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.64._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028916
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [821243568908893844, 494447461208680350, 776196453793973340, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028917
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919425862946, 249695279010334470, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.64._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028918
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.64._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028919
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117374896868, 4863547740, 776196453793973340, 90305922856320260, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028920
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117374896868, 4863547740, 776196453793973340, 578306446408507244, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.ER', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028921
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117374896868, 4863547740, 776196453793973340, 1714817781024255450, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.ES', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028922
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 494447461208680350, 945036117374896868, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.ET', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028923
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 776196453793973340, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028924
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 249695279010334470, 12055774, 945036118320827940, 737383283709540630, 507231460158158244, 4866134850, 945036117373806782, 776196453793973340, 1099504540658219364, 861174516873778650], 'label': '8192.wy.4._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028925
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4856295156, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028926
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028927
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 945036115457634278, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028928
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028929
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 25158737, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028930
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3418288581, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028931
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 4863547740, 776196453793973340, 36035104, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028932
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 945036116397438036, 776196453793973340, 1346691766793881050, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028933
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 1714817781031896762, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028934
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 2079046919403716443, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028935
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 4857382362, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 4866134850, 945036117373806782, 776196453793973340, 1099504540658219364, 861174516873778650], 'label': '8192.wy.4._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028936
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 3314457, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028937
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 1714817781031896762, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028938
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 1346691766793881050, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028939
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 2079046919403716443, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028940
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 945036117373806782, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028941
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 2079046919403716443, 507231460158158244, 776196453793973340, 494447461208680350], 'label': '8192.wy.64._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028942
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 1346691766793881050, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028943
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 1714817781031896762, 776196453793973340, 494447461208680350], 'label': '8192.wy.64._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028944
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 776196453793973340, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028945
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 2079046919403716443, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028946
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4857382362, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 4866134850, 945036117373806782, 22207928, 776196453793973340, 1099504540658219364, 861174516873778650], 'label': '8192.wy.4._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028947
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 1346691766793881050, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028948
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1714817781031896762, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028949
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 945036115450381694, 494447461208680350, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028950
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 776196453793973340, 90305922852676244, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028951
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 776196453793973340, 821243568912537860, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028952
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1978453934, 2079046919403716443, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350], 'label': '8192.wy.64._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028953
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 1978453934, 494447461208680350, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028954
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036118321918026, 776196453793973340, 90305922852676244, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028955
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036118321918026, 776196453793973340, 821243568912537860, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028956
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036118321918026, 2079046919403716443, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028957
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4857382362, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 4866134850, 945036117373806782, 22207928, 776196453793973340, 2079046919418610362, 1099504540658219364], 'label': '8192.wy.4._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028958
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 945036118321918026, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028959
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117374896868, 4863547740, 776196453793973340, 90305922852676244, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028960
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117374896868, 4863547740, 776196453793973340, 578306446393981820, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028961
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117374896868, 4863547740, 1714817781031896762, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028962
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 945036117374896868, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028963
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3418288581, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028964
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 36035104, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028965
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 945036115444193828, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028966
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 36035104, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028967
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028968
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 4857382362, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 4866134850, 945036117373806782, 776196453793973340, 2079046919418610362, 1099504540658219364], 'label': '8192.wy.4._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028969
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028970
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028971
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028972
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1346691766808774946, 249695279010334470, 507231460158158244, 1981001417, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.64._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028973
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1981001417, 1714817781017002843, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.64._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028974
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036116397438036, 776196453793973340, 2079046919418610362, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028975
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036116397438036, 776196453793973340, 861174516873778650, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028976
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 1714817781017002843, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028977
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 3411000111, 507231460158158244, 1346691766808774946, 249695279010334470], 'label': '8192.wy.64._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028978
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 2079046919418610362, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028979
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [11289680, 507231460158158244, 3408417444, 737383283709540630, 249695279010334470, 4863547740, 3314457, 945036115450381694, 776196453793973340, 22207928, 608272580728344362, 1134021], 'label': '8192.wy.2._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.T', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028980
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 249695279010334470, 12055774, 945036118320827940, 737383283709540630, 507231460158158244, 4866134850, 945036117373806782, 776196453793973340, 2079046919418610362, 1099504540658219364], 'label': '8192.wy.4._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028981
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 861174516873778650, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028982
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 2079046919418610362, 4866134850, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028983
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1346691766808774946, 249695279010334470, 945036118320827940, 507231460158158244, 4866134850, 776196453793973340, 494447461208680350], 'label': '8192.wy.64._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028984
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 4866134850, 1714817781017002843, 776196453793973340, 494447461208680350], 'label': '8192.wy.64._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028985
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 861174516873778650, 4866134850, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028986
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 776196453793973340, 2079046919418610362, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028987
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 1346691766808774946, 249695279010334470], 'label': '8192.wy.64._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028988
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 1714817781017002843, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028989
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 776196453793973340, 861174516873778650, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028990
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 1978453934, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350], 'label': '8192.wy.64._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028991
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 12055774, 945036118320827940, 737383283709540630, 507231460158158244, 4866134850, 945036117373806782, 22207928, 776196453793973340, 2079046919418610362, 1099504540658219364], 'label': '8192.wy.4._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028992
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [821243568905265020, 1978453934, 494447461208680350, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028993
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 776196453793973340, 2079046919418610362, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028994
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 776196453793973340, 861174516873778650, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028995
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.64._.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028996
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [821243568905265020, 494447461208680350, 776196453793973340, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028997
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 2079046919418610362, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028998
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 861174516873778650, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255028999
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 90305922863572844, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029000
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [578306446401254660, 494447461208680350, 4863547740, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029001
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 1714817781017002843, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029002
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 23336182, 507231460158158244, 945036115451471780, 945036117373806782, 776196453793973340, 4863547740, 1099504540658219364, 861174516873778650], 'label': '8192.wy.4._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029675
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460165442412, 3314457, 4863547740, 737383283709540630, 776196453793973340], 'label': '8192.wy.256._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.EL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029003
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 861174516873778650, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029004
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029005
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029006
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 945036117373806782, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029007
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029008
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029009
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 945036118321918026, 776196453793973340, 945036118331769900, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029010
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 494447461208680350, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029011
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 33084272, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029012
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1967898690, 945036116397438036, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029013
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115436168658, 249695279010334470, 12055774, 737383283709540630, 507231460158158244, 945036115451471780, 945036117373806782, 776196453793973340, 4863547740, 1099504540658219364, 861174516873778650], 'label': '8192.wy.4._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029014
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3416788818, 945036116397438036, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029015
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4835190403, 494447461208680350, 945036116397438036, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029016
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036116397438036, 776196453793973340, 34212526, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.HZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.HZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029017
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3416788818, 945036117373806782, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029018
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1967898690, 945036117373806782, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029019
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4835190403, 494447461208680350, 945036117373806782, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029020
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 34212526, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.ID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.ID', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029021
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4835190403, 494447461208680350, 776196453793973340, 4866134850, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029022
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1967898690, 776196453793973340, 4866134850, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029023
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3416788818, 776196453793973340, 4866134850, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029024
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115436168658, 249695279010334470, 737383283709540630, 507231460158158244, 945036115451471780, 945036117373806782, 776196453793973340, 4863547740, 1099504540658219364, 861174516873778650, 945036115457997164], 'label': '8192.wy.4._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029025
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 34212526, 4866134850, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029026
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4835190403, 945036115450381694, 494447461208680350, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.II', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.II', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029027
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1967898690, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029028
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3416788818, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029029
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 34212526, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029030
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115443466628, 1978453934, 494447461208680350, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029031
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118328503962, 1978453934, 507231460158158244, 4866134850, 776196453793973340, 494447461208680350], 'label': '8192.wy.64._.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029032
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4835190403, 1978453934, 494447461208680350, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029033
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 776196453793973340, 34212526, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029034
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115443466628, 494447461208680350, 776196453793973340, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029035
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 23336182, 507231460158158244, 945036115451471780, 945036117373806782, 776196453793973340, 4863547740, 1099504540658219364, 861174516873778650, 945036115457997164], 'label': '8192.wy.4._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029036
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118328503962, 507231460158158244, 4866134850, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.64._.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029037
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4835190403, 494447461208680350, 776196453793973340, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029038
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 34212526, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029039
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115443466628, 494447461208680350, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029040
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 4863547740, 776196453793973340, 945036117355975242, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029041
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3416788818, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029042
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 4863547740, 776196453793973340, 34212526, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029043
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029044
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 33084272, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.IZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.IZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029045
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115443103742, 494447461208680350, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029046
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 737383283709540630, 23336182, 507231460158158244, 945036115451471780, 945036117373806782, 776196453793973340, 4863547740, 1099504540658219364, 945036115457997164], 'label': '8192.wy.4._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029047
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 33084272, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029048
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 945036115435805772, 945036118321918026, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029049
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 4845341724, 945036118321918026, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029050
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 945036118321918026, 776196453793973340, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029051
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 776196453793973340, 945036118331769900, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029052
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 945036115435805772, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029053
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 4845341724, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029054
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 776196453793973340, 22207928, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029055
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 776196453793973340, 945036118331769900, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029056
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 945036115435805772, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029057
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [90305922863572844, 945036115436168658, 249695279010334470, 737383283709540630, 507231460158158244, 945036115451471780, 945036117373806782, 776196453793973340, 4863547740, 1099504540658219364, 945036115457997164], 'label': '8192.wy.4._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029058
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 4845341724, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029059
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036118313575356, 494447461208680350, 945036118321918026, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029060
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036118321918026, 776196453793973340, 945036115457634278, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029061
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036118321918026, 4856295156, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029062
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 945036118321918026, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029063
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036118313575356, 494447461208680350, 776196453793973340, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029064
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 945036115457634278, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029065
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4856295156, 776196453793973340, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029066
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 1346691766785897630, 1981001417, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029067
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919410606164, 494447461208680350, 776196453793973340, 1981001417, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029068
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [90305922863572844, 945036115436168658, 249695279010334470, 12055774, 737383283709540630, 507231460158158244, 945036115451471780, 945036117373806782, 776196453793973340, 4863547740, 1099504540658219364], 'label': '8192.wy.4._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029069
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 1714817781038424300, 1981001417, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029070
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 861174516880694916, 776196453793973340, 1981001417, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029071
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 1346691766785897630, 4866134850, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029072
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919410606164, 494447461208680350, 776196453793973340, 4866134850, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029073
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 1714817781038424300, 4866134850, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.JZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.JZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029074
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 861174516880694916, 776196453793973340, 4866134850, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029075
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 1346691766785897630, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029076
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919410606164, 494447461208680350, 776196453793973340, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029077
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 1714817781038424300, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029078
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036116397438036, 776196453793973340, 1990055324, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029079
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 12055774, 737383283709540630, 23336182, 507231460158158244, 945036115451471780, 945036117373806782, 776196453793973340, 4863547740, 1099504540658219364], 'label': '8192.wy.4._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029080
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 3398266123, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.64._.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029081
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 494447461208680350, 945036116397438036, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029082
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 507231460158158244, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.64._.KH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029083
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 3398266123, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.KI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029084
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 1990055324, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.KJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029085
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 494447461208680350, 945036117373806782, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.KK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029086
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 12055774, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.KL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029087
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 494447461208680350, 776196453793973340, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.KM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029088
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 1990055324, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.KN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029089
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 3398266123, 776196453793973340, 494447461208680350], 'label': '8192.wy.64._.KO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029090
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 1099504540643719230, 861174516873415764, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540650950844, 3408417444], 'label': '8192.wy.2._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.U', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029091
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 12055774, 1978453934, 737383283709540630, 507231460158158244, 861174516873415764, 4866134850, 1099504540658950884, 22207928, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029092
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 945036118320827940, 3411000111, 507231460158158244, 776196453793973340, 494447461208680350], 'label': '8192.wy.64._.KP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029093
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 945036115450381694, 494447461208680350, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.KQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029094
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 1990055324, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.KR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029095
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3398266123, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.KS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029096
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 12055774, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.KT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029097
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 776196453793973340, 945036115457997164, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.KU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029098
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1978453934, 507231460158158244, 4866134850, 945036118313938242, 776196453793973340, 494447461208680350], 'label': '8192.wy.64._.KV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029099
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 1978453934, 494447461208680350, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.KW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029100
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 1978453934, 507231460158158244, 4866134850, 776196453793973340, 494447461208680350], 'label': '8192.wy.64._.KX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029101
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 945036115457997164, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.KY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029102
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 249695279010334470, 12055774, 1978453934, 737383283709540630, 507231460158158244, 861174516873415764, 4866134850, 1099504540658950884, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029103
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 945036118313938242, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.KZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.KZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.KZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029104
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.LA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029105
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 12055774, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.LB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029106
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 945036115457997164, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.LC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029107
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 3411000111, 507231460158158244, 945036117366871698, 249695279010334470], 'label': '8192.wy.64._.LD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029108
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 3398266123, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.LE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029849
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [269008240778677934, 494447461209773323, 776196453796560450], 'label': '8192.wy.1024._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.S', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029109
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 12055774, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.LF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029110
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 861174516880694916, 776196453793973340, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.LG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029111
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 1346691766785897630, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.LH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029112
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919410606164, 494447461208680350, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.LI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029113
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 4857382362, 249695279010334470, 1978453934, 737383283709540630, 507231460158158244, 861174516873415764, 4866134850, 1099504540658950884, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029114
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 1714817781038424300, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.LJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029115
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 861174516880694916, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.LK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029116
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781040245210, 945036117373806782, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.LL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029117
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 861174516882515803, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.LM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029118
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 90305922850178542, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.64._.LN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029119
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 861174516882515803, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.64._.LO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029120
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1714817781040245210, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.LP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029121
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 861174516882515803, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.LQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029122
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 776196453793973340, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.LR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029123
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036118313575356, 494447461208680350, 776196453793973340, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.LS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029124
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4857382362, 249695279010334470, 1978453934, 737383283709540630, 507231460158158244, 861174516873415764, 4866134850, 1099504540658950884, 22207928, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029125
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 945036115457634278, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.LT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029126
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4856295156, 776196453793973340, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.LU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029127
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 1714817781038424300, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.LV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029128
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 861174516880694916, 945036117373806782, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.LW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029129
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 90305922848322374, 776196453793973340, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.LX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029130
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 861174516880694916, 776196453793973340, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.LY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029131
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 1714817781038424300, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.LZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.LZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.LZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029132
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 861174516880694916, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.MA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.MA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.MA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029133
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 776196453793973340, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.MB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.MB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.MB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029134
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036118313575356, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.MC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.MC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.MC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029135
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 4857382362, 249695279010334470, 1978453934, 737383283709540630, 507231460158158244, 4866134850, 1099504540658950884, 22207928, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029136
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 945036115457634278, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.MD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.MD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.MD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029137
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4856295156, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.ME', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.ME', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.ME', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029138
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 1346691766800797316, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.MF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.MF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.MF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029139
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 945036117373806782, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.MG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.MG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.MG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029140
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919425137900, 494447461208680350, 945036117373806782, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.MH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.MH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.MH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029141
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 945036117373806782, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.MI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.MI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.MI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029142
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 1346691766800797316, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.MJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.MJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.MJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029143
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 945036117373806782, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.MK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.MK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.MK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029144
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919425137900, 494447461208680350, 945036117373806782, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.ML', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.ML', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.ML', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029145
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1960646083, 945036116397438036, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.MM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.MM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.MM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029146
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 2079046919417885316, 4857382362, 249695279010334470, 1978453934, 737383283709540630, 507231460158158244, 4866134850, 1099504540658950884, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029147
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 494447461208680350, 945036116397438036, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.MN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.MN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.MN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029148
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1981001417, 4846066770, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.64._.MO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.MO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.MO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029149
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036116397438036, 776196453793973340, 23336182, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.MP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.MP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.MP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029150
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 494447461208680350, 945036117373806782, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.MQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.MQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.MQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029151
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1960646083, 945036117373806782, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.MR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.MR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.MR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029152
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 1981001417, 507231460158158244, 4846066770, 249695279010334470], 'label': '8192.wy.64._.MS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.MS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.MS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029153
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 23336182, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.MT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.MT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.MT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029154
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 1981001417, 4846066770, 776196453793973340, 494447461208680350], 'label': '8192.wy.64._.MU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.MU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.MU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029155
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1960646083, 776196453793973340, 1981001417, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.MV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.MV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.MV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029156
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 494447461208680350, 776196453793973340, 1981001417, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.MW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.MW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.MW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029157
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 2079046919417885316, 249695279010334470, 12055774, 1978453934, 737383283709540630, 507231460158158244, 4866134850, 1099504540658950884, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029158
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 23336182, 1981001417, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.MX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.MX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.MX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029159
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 1981001417, 507231460158158244, 4846066770, 249695279010334470], 'label': '8192.wy.64._.MY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.MY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.MY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029160
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1960646083, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.MZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.MZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.MZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029161
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 945036115450381694, 494447461208680350, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.NA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029162
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 23336182, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.NB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029163
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 945036115436168658, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.NC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029164
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 945036118332132786, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.ND', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.ND', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.ND', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029165
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 4846066770, 249695279010334470], 'label': '8192.wy.64._.NE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029166
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 3314457, 776196453793973340, 23336182, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.NF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029167
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115436168658, 776196453793973340, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.NG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029168
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 12055774, 1978453934, 737383283709540630, 507231460158158244, 4866134850, 1099504540658950884, 22207928, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029169
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036118332132786, 776196453793973340, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.NH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029170
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 4846066770, 4866134850, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.64._.NI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029171
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 23336182, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.NJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029172
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115436168658, 4863547740, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.NK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029173
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 945036117363227826, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.NL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029174
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 494447461208680350, 4863547740, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.NM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029175
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 23336182, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.NN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029176
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 945036117373806782, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.NO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029177
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 1346691766800797316, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.NP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029178
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 945036117373806782, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.NQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029248
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 507231460158158244, 1981001417, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.64._.QA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029179
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 737383283709540630, 23336182, 507231460158158244, 861174516873415764, 1099504540658950884, 776196453793973340, 945036115450381694, 4863547740], 'label': '8192.wy.4._.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029180
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919425137900, 494447461208680350, 945036117373806782, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.NR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029181
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 945036117373806782, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.NS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029182
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 945036117373806782, 776196453793973340, 1346691766800797316, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.NT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029183
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 3314457, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.NU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029184
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919425137900, 494447461208680350, 3314457, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.NV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029185
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 3314457, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.NW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029186
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 1714817781025709149, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.NX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029187
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 861174516867979765, 945036117373806782, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.NY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029188
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 2079046919426958810, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.NZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.NZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.NZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029189
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 861174516867979765, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.OA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255029190
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 737383283709540630, 507231460158158244, 861174516873415764, 3427710548, 1099504540658950884, 776196453793973340, 945036115450381694, 4863547740], 'label': '8192.wy.4._.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029191
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 4863547740, 1714817781025709149, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.OB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029192
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 861174516867979765, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.OC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029193
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.OD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255029194
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 776196453793973340, 22207928, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.OE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029195
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 3314457, 776196453793973340, 945036118331769900, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.OF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029196
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 945036115435805772, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.OG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029197
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 945036117373806782, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.OH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029198
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 945036117373806782, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.OI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029199
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 2079046919425137900, 494447461208680350, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.OJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029200
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 945036115450381694, 494447461208680350, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.OK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255029201
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460158158244, 3408417444, 737383283709540630, 861174516873415764, 249695279010334470, 4863547740, 3314457, 945036115450381694, 1099504540643719230, 776196453793973340, 22207928, 1134021], 'label': '8192.wy.2._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.V', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029202
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 737383283709540630, 507231460158158244, 861174516873415764, 3398266123, 3427710548, 1099504540658950884, 776196453793973340, 945036115450381694, 4863547740], 'label': '8192.wy.4._.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HP', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255029203
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.OL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029204
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.OM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029205
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 4845341724, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.ON', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.ON', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.ON', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029206
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 3314457, 776196453793973340, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.OO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029207
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.64._.OP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029208
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 3426623342, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.OQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029209
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 776196453793973340, 1714817781031171716, 945036116397438036, 494447461208680350], 'label': '8192.wy.64._.OR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029210
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1346691766793518164, 945036116397438036, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.OS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029211
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 2079046919402985630, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.64._.OT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029212
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1979178980, 3314457, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.OU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029249
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 4866134850, 776196453793973340, 1714817781031171716, 945036116397438036, 494447461208680350], 'label': '8192.wy.64._.QB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029213
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 737383283709540630, 23336182, 507231460158158244, 861174516873415764, 3398266123, 1099504540658950884, 776196453793973340, 945036115450381694, 4863547740], 'label': '8192.wy.4._.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029214
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3409142490, 3314457, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.OV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029215
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 494447461208680350, 3314457, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.OW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029216
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.OX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029217
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3409142490, 3314457, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.OY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029218
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1979178980, 3314457, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.OZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.OZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.OZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029219
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 494447461208680350, 3314457, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.PA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029220
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.PB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029221
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 494447461208680350, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.PC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029222
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1979178980, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.PD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029223
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3409142490, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.PE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029224
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 3411000111, 737383283709540630, 23336182, 507231460158158244, 3398266123, 1099504540658950884, 776196453793973340, 945036115450381694, 4863547740], 'label': '8192.wy.4._.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029225
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.PF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029226
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 945036115450381694, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.PG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029227
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1979178980, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.PH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029228
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3409142490, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.PI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029229
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 945036115450381694, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.PJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029230
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 1978453934, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.PK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029231
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 3314457, 776196453793973340, 945036118321190826, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.PL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029232
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 1978453934, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.PM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029233
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 1978453934, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.PN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029234
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.PO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029235
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 3411000111, 737383283709540630, 507231460158158244, 3398266123, 3427710548, 1099504540658950884, 776196453793973340, 945036115450381694, 4863547740], 'label': '8192.wy.4._.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029236
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 945036118321190826, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.PP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029237
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.PQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029238
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.PR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029239
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 494447461208680350, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.PS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029240
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036117374169668, 494447461208680350, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.PT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029241
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3409142490, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.PU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029242
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.PV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029243
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 861174516887947500, 507231460158158244, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.64._.PW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029244
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1981001417, 776196453793973340, 1714817781031171716, 945036116397438036, 494447461208680350], 'label': '8192.wy.64._.PX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029245
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1346691766793518164, 945036116397438036, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.PY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029246
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 12055774, 3411000111, 737383283709540630, 507231460158158244, 3427710548, 1099504540658950884, 776196453793973340, 945036115450381694, 4863547740], 'label': '8192.wy.4._.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029247
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1981001417, 2079046919402985630, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.64._.PZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.PZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.PZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029587
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695281895760924, 494447461208680350, 776196453793973340, 3411000111, 507231460158158244], 'label': '8192.wy.256._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029250
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1346691766793518164, 945036116397438036, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.QC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029251
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 4866134850, 2079046919402985630, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.64._.QD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029252
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 507231460158158244, 4866134850, 776196453793973340, 945036116397438036, 494447461208680350], 'label': '8192.wy.64._.QE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029253
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781031171716, 494447461208680350, 3314457, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.QF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029254
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1346691766793518164, 3314457, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.QG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029255
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919402985630, 494447461208680350, 3314457, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.QH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029256
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 945036116397438036, 776196453793973340, 507231460158158244, 861174516887947500, 249695279010334470], 'label': '8192.wy.64._.QI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029257
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 12055774, 3411000111, 737383283709540630, 23336182, 507231460158158244, 1099504540658950884, 776196453793973340, 945036115450381694, 4863547740], 'label': '8192.wy.4._.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029258
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781032992603, 945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.QJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029259
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 861174516889768410, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.QK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029260
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 90305922853807366, 945036118320827940, 507231460158158244, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.64._.QL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029261
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 861174516889768410, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.QM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029262
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781032992603, 494447461208680350, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.QN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029263
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 4863547740, 776196453793973340, 861174516889768410, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.QO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029264
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 22207928, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.QP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029265
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 3426623342, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.QQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029266
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.QR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029267
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115435805772, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.QS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029268
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 945036115451471780, 11289680, 1099504540658950884, 22207928, 776196453793973340, 4863547740, 861174516873778650, 3408417444], 'label': '8192.wy.4._.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029269
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781031171716, 1978453934, 494447461208680350, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.QT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029270
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 507231460158158244, 861174516887947500, 249695279010334470], 'label': '8192.wy.64._.QU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029271
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 90305922851951198, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.QV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029272
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 861174516887947500, 507231460158158244, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.64._.QW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029273
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781031171716, 494447461208680350, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.QX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029274
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 861174516887947500, 249695279010334470], 'label': '8192.wy.64._.QY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029275
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 22207928, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.QZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.QZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.QZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029276
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036115458724364, 945036118320827940, 507231460158158244, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.64._.RA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.RA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.RA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029277
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 776196453793973340, 14236187, 494447461208680350, 3408417444], 'label': '8192.wy.64._.RB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.RB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.RB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029278
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 4858882243, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.64._.RC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.RC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.RC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029279
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 737383283709540630, 507231460158158244, 945036115451471780, 11289680, 1099504540658950884, 776196453793973340, 4863547740, 861174516873778650, 3408417444], 'label': '8192.wy.4._.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029280
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 1346691766808049900, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.RD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.RD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.RD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029281
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 2079046919417885316, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.64._.RE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.RE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.RE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029282
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460165442412, 507231460160740911, 4863547740, 737383283709540630, 776196453793973340, 13160703092503774], 'label': '8192.wy.128._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029283
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460165442412, 507231460160740911, 4863547740, 737383283709540630, 776196453793973340, 494447461209773323], 'label': '8192.wy.128._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029284
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 507231460160740911, 737383283709540630, 776196453793973340, 4863547740, 494447461209773323], 'label': '8192.wy.128._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029285
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458728194734, 507231460160740911, 737383283709540630, 776196453793973340, 494447461238130542, 13160703092503774], 'label': '8192.wy.128._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029286
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458728194734, 507231460160740911, 737383283709540630, 776196453793973340, 13160703092503774, 13160703102655928], 'label': '8192.wy.128._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.E', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029287
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458728194734, 507231460160740911, 737383283709540630, 776196453793973340, 13160703102655928, 494447461209773323], 'label': '8192.wy.128._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029288
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458728194734, 507231460160740911, 737383283709540630, 776196453793973340, 494447461238130542, 494447461209773323], 'label': '8192.wy.128._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029289
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458728194734, 3314457, 737383283709540630, 776196453793973340, 507231460158883290, 494447461238130542], 'label': '8192.wy.128._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.H', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029290
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 737383283709540630, 507231460158158244, 945036115451471780, 1099504540658950884, 776196453793973340, 4863547740, 945036115457634278, 861174516873778650, 3408417444], 'label': '8192.wy.4._.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029291
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458728194734, 3314457, 737383283709540630, 776196453793973340, 507231460158883290, 13160703102655928], 'label': '8192.wy.128._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.I', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029292
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 507231458728194734, 3314457, 737383283709540630, 776196453793973340, 13160703102655928], 'label': '8192.wy.128._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.J', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029293
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 507231458728194734, 3314457, 737383283709540630, 776196453793973340, 494447461238130542], 'label': '8192.wy.128._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.K', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029294
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 737383283709540630, 507231460158883290, 3314457, 776196453793973340, 4863547740], 'label': '8192.wy.128._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.L', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029295
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460165442412, 3314457, 4863547740, 737383283709540630, 776196453793973340, 507231460158883290], 'label': '8192.wy.128._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029296
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 507231460165442412, 3314457, 4863547740, 737383283709540630, 776196453793973340], 'label': '8192.wy.128._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.N', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029297
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 737383283709540630, 1134021, 3314457, 776196453793973340, 4863547740], 'label': '8192.wy.128._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.O', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029298
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 533259329846852948, 776196453796560450, 507231460158158244, 3408417444], 'label': '8192.wy.128._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.P', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029299
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453786720756, 533259329846852948, 776196453796560450, 507231460158158244, 3408417444], 'label': '8192.wy.128._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.Q', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029300
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453786720756, 249695279011065283, 776196453796560450, 507231460158158244, 3408417444], 'label': '8192.wy.128._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.R', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029301
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 945036115451471780, 1099504540658950884, 22207928, 776196453793973340, 4863547740, 945036115457634278, 861174516873778650, 3408417444], 'label': '8192.wy.4._.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029302
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 249695279011065283, 776196453796560450, 507231460158158244, 3408417444], 'label': '8192.wy.128._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.S', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029303
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196450908879534, 533259329846852948, 776196453796560450, 507231460158158244, 249695279017955004], 'label': '8192.wy.128._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.T', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029304
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 533259329834844012, 776196450908879534, 533259329846852948, 776196453796560450, 507231460158158244], 'label': '8192.wy.128._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.U', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029305
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 533259329834844012, 776196450908879534, 249695279011065283, 776196453796560450, 507231460158158244], 'label': '8192.wy.128._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.V', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029306
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196450908879534, 249695279011065283, 776196453796560450, 507231460158158244, 249695279017955004], 'label': '8192.wy.128._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.W', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029307
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196450908879534, 776196453795060546, 507231460158158244, 249695279017955004], 'label': '8192.wy.128._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.X', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029308
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 533259329834844012, 3314457, 776196450908879534, 776196453795060546, 507231460158158244], 'label': '8192.wy.128._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.Y', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029309
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 533259329834844012, 3314457, 776196450908879534, 507231460158158244], 'label': '8192.wy.128._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.Z', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029310
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 776196450908879534, 507231460158158244, 249695279017955004], 'label': '8192.wy.128._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029311
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 3314457, 776196453795060546, 507231460158158244, 3408417444], 'label': '8192.wy.128._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029312
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540650950844, 3408417444], 'label': '8192.wy.2._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.W', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029313
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 737383283709540630, 507231460158158244, 945036115451471780, 1099504540658950884, 22207928, 776196453793973340, 4863547740, 945036115457634278, 3408417444], 'label': '8192.wy.4._.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.HZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.HZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029314
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453786720756, 3314457, 776196453795060546, 507231460158158244, 3408417444], 'label': '8192.wy.128._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029315
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 776196453786720756, 3314457, 507231460158158244, 3408417444], 'label': '8192.wy.128._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029316
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 11289680, 3314457, 507231460158158244, 3408417444], 'label': '8192.wy.128._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029317
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 2079046919417885316, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029318
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 22207928, 288173603505978524, 269008240778677934, 776196453796560450, 249695279010334470], 'label': '8192.wy.128._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029319
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 776196453775767324, 288173603505978524, 269008240778677934, 776196453796560450, 249695279010334470], 'label': '8192.wy.128._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029320
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 776196453775767324, 269008240778677934, 494447461209773323, 776196453796560450, 249695279010334470], 'label': '8192.wy.128._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029321
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 22207928, 269008240778677934, 494447461209773323, 776196453796560450, 249695279010334470], 'label': '8192.wy.128._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029850
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 288173603505978524, 507231460158158244], 'label': '8192.wy.1024._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.T', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029322
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461227208812, 288173603505978524, 269008240778677934, 776196452338843044, 776196453796560450, 249695279010334470], 'label': '8192.wy.128._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029323
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [288173603483459004, 288173603505978524, 269008240778677934, 776196452338843044, 776196453796560450, 249695279010334470], 'label': '8192.wy.128._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029324
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115435805772, 90305922863572844, 249695279010334470, 737383283709540630, 507231460158158244, 945036115451471780, 1099504540658950884, 776196453793973340, 4863547740, 945036115457634278, 3408417444], 'label': '8192.wy.4._.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029325
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [288173603483459004, 269008240778677934, 494447461209773323, 776196452338843044, 776196453796560450, 249695279010334470], 'label': '8192.wy.128._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029326
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461227208812, 269008240778677934, 494447461209773323, 776196452338843044, 776196453796560450, 249695279010334470], 'label': '8192.wy.128._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029327
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461227208812, 3314457, 776196453795060546, 269008240778677934, 776196452338843044, 249695279010334470], 'label': '8192.wy.128._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029328
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 288173603483459004, 776196453795060546, 269008240778677934, 776196452338843044, 249695279010334470], 'label': '8192.wy.128._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029329
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 3314457, 288173603483459004, 269008240778677934, 776196452338843044, 249695279010334470], 'label': '8192.wy.128._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029330
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461227208812, 1134021, 3314457, 269008240778677934, 776196452338843044, 249695279010334470], 'label': '8192.wy.128._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029331
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 3314457, 22207928, 776196453795060546, 269008240778677934, 249695279010334470], 'label': '8192.wy.128._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029332
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 776196453775767324, 3314457, 776196453795060546, 269008240778677934, 249695279010334470], 'label': '8192.wy.128._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029333
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 1978453934, 776196453775767324, 3314457, 269008240778677934, 249695279010334470], 'label': '8192.wy.128._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029334
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 1978453934, 3314457, 22207928, 269008240778677934, 249695279010334470], 'label': '8192.wy.128._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029335
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115435805772, 90305922863572844, 249695279010334470, 737383283709540630, 507231460158158244, 945036115451471780, 11289680, 1099504540658950884, 776196453793973340, 4863547740, 3408417444], 'label': '8192.wy.4._.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029336
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036118321918026, 90305922849047420, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029337
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036118321918026, 776196453793973340, 578306446397610644, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029338
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036118321918026, 333243045367603460, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029339
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [821243568919790444, 494447461208680350, 945036118321918026, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029340
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036118321918026, 2079046919410969050, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029341
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1346691766786628443, 494447461208680350, 945036118321918026, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029342
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781039149346, 494447461208680350, 945036118321918026, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029343
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036118321918026, 861174516881419962, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029344
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117374896868, 776196453793973340, 90305922856320260, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029345
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117374896868, 776196453793973340, 578306446408507244, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029346
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 737383283709540630, 507231460158158244, 945036115451471780, 11289680, 1099504540658950884, 22207928, 776196453793973340, 4863547740, 3408417444], 'label': '8192.wy.4._.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029347
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117374896868, 776196453793973340, 333243045360330620, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029348
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [821243568908893844, 494447461208680350, 945036117374896868, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029349
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117374896868, 2079046919425862946, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029350
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1346691766801522362, 945036117374896868, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029351
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117374896868, 776196453793973340, 1714817781024255450, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029352
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 494447461208680350, 945036117374896868, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029353
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 90305922852676244, 507231460158158244, 945036116398528122, 249695279010334470], 'label': '8192.wy.128._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029354
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 578306446393981820, 507231460158158244, 945036116398528122, 249695279010334470], 'label': '8192.wy.128._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029355
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 333243045374856044, 507231460158158244, 945036116398528122, 249695279010334470], 'label': '8192.wy.128._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029356
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 821243568912537860, 507231460158158244, 945036116398528122, 249695279010334470], 'label': '8192.wy.128._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029357
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 737383283709540630, 23336182, 507231460158158244, 4866134850, 11289680, 1099504540658950884, 776196453793973340, 861174516873778650, 3408417444], 'label': '8192.wy.4._.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ID', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029358
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 2079046919403716443, 776196453793973340, 507231460158158244, 945036116398528122, 249695279010334470], 'label': '8192.wy.128._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029359
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 1346691766793881050, 507231460158158244, 945036116398528122, 249695279010334470], 'label': '8192.wy.128._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029360
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781031896762, 776196453793973340, 507231460158158244, 945036116398528122, 249695279010334470], 'label': '8192.wy.128._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029361
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 776196453793973340, 507231460158158244, 945036116398528122, 249695279010334470], 'label': '8192.wy.128._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029362
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 90305922863572844, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029363
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [578306446401254660, 494447461208680350, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029364
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 945036115451471780, 507231460158158244, 333243045363959444, 249695279010334470], 'label': '8192.wy.128._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029365
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [821243568905265020, 494447461208680350, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029366
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 2079046919418610362, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029367
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 945036115451471780, 507231460158158244, 1346691766808774946, 249695279010334470], 'label': '8192.wy.128._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029368
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 4846066770, 4866134850, 11289680, 1099504540658950884, 776196453793973340, 861174516873778650, 3408417444], 'label': '8192.wy.4._.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029369
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781017002843, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029370
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 861174516873778650, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029371
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461239217748, 737383283709540630, 776196453793973340, 249695280477042542, 507231460158158244, 494447461211630967], 'label': '8192.wy.128._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029372
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [737383283709540630, 776196453793973340, 34212526, 249695280477042542, 507231460158158244, 494447461211630967], 'label': '8192.wy.128._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029373
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115443466628, 494447461208680350, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029374
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 945036117355975242, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029375
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 945036116415960164, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029376
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036118328503962, 494447461208680350, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029377
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4835190403, 494447461208680350, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029378
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1967898690, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029379
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 4846066770, 4866134850, 1099504540658950884, 4856295156, 776196453793973340, 861174516873778650, 3408417444], 'label': '8192.wy.4._.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029380
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3416788818, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029381
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 34212526, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029382
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461239217748, 3314457, 4863547740, 737383283709540630, 776196453793973340, 507231460158158244], 'label': '8192.wy.128._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029383
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 494447461208680350, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029384
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029385
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 4863547740, 737383283709540630, 776196453793973340, 507231460158158244, 494447461211630967], 'label': '8192.wy.128._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029386
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4863547740, 737383283709540630, 776196453793973340, 494447461238130542, 507231460158158244, 494447461211630967], 'label': '8192.wy.128._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029387
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 4863547740, 737383283709540630, 776196453793973340, 34212526, 507231460158158244], 'label': '8192.wy.128._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029388
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 4863547740, 737383283709540630, 776196453793973340, 494447461238130542, 507231460158158244], 'label': '8192.wy.128._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029389
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 3314457, 776196453793973340, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029390
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 737383283709540630, 23336182, 507231460158158244, 4866134850, 1099504540658950884, 4856295156, 776196453793973340, 861174516873778650, 3408417444], 'label': '8192.wy.4._.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029391
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029392
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036118321918026, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.128._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029393
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.128._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029394
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 737383283709540630, 507231460158158244, 3314457, 776196453793973340, 4863547740], 'label': '8192.wy.128._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029395
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.128._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029396
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 776196453793973340, 945036118332859986, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029397
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 776196453793973340, 945036115436895858, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029398
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4847924509, 1978453934, 494447461208680350, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029399
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 945036117356702442, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029400
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 945036115444193828, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.ED', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029401
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 737383283709540630, 23336182, 507231460158158244, 4866134850, 1099504540658950884, 4856295156, 776196453793973340, 2079046919418610362, 3408417444], 'label': '8192.wy.4._.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029402
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3418288581, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029403
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 36035104, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029404
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 776196453793973340, 25158737, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029405
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.128._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029406
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695281895760924, 494447461208680350, 3398266123, 776196453793973340, 3411000111, 507231460158158244], 'label': '8192.wy.128._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029407
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695281895760924, 494447461208680350, 12055774, 776196453793973340, 3411000111, 507231460158158244], 'label': '8192.wy.128._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029408
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 249695279018317890, 507231460158158244, 3408417444], 'label': '8192.wy.128._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029409
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117374896868, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029410
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029411
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029412
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 4846066770, 4866134850, 1099504540658950884, 4856295156, 776196453793973340, 2079046919418610362, 3408417444], 'label': '8192.wy.4._.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.II', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.II', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029413
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029414
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 12055774, 776196453793973340, 507231460158158244, 3408417444], 'label': '8192.wy.128._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029415
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 945036117355612356, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029416
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115443103742, 494447461208680350, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.ER', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029417
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 494447461208680350, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.ES', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029418
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 33084272, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.ET', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029419
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 945036115457997164, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029420
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 3411000111, 507231460158158244, 945036117366871698, 249695279010334470], 'label': '8192.wy.128._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029421
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036116401429746, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029422
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 945036118313938242, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029423
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 1134021, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.2._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.X', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029424
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 4846066770, 4866134850, 11289680, 1099504540658950884, 776196453793973340, 2079046919418610362, 3408417444], 'label': '8192.wy.4._.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029425
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 494447461208680350, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029426
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 1990055324, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029427
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3398266123, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029428
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 12055774, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029429
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.128._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029430
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 776196453793973340, 945036118331769900, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029431
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 945036115435805772, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029432
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 4845341724, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029433
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 776196453793973340, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029434
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.128._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029435
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 737383283709540630, 23336182, 507231460158158244, 4866134850, 11289680, 1099504540658950884, 776196453793973340, 2079046919418610362, 3408417444], 'label': '8192.wy.4._.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029436
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 249695279013245601, 776196453793973340, 507231460158158244, 3408417444], 'label': '8192.wy.128._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029437
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 249695279013245601, 776196453793973340, 507231460158158244, 249695279017955004, 3408417444], 'label': '8192.wy.128._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029438
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 507231460158158244, 249695279017955004, 3408417444], 'label': '8192.wy.128._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029439
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029440
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029441
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.128._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029442
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196453793973340, 494447462667802356, 494447461228296018, 507231460158158244, 494447461211630967, 249695279010334470], 'label': '8192.wy.128._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029443
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196453793973340, 494447462667802356, 23336182, 507231460158158244, 494447461211630967, 249695279010334470], 'label': '8192.wy.128._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029444
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 3314457, 776196453793973340, 494447461228296018, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029445
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029446
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 1134021, 22207928, 776196453793973340, 945036115450381694, 4863547740, 3408417444], 'label': '8192.wy.4._.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029447
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 3314457, 776196453793973340, 507231460158158244, 3408417444], 'label': '8192.wy.128._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029448
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029449
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036116397438036, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029450
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 3314457, 776196453793973340, 23336182, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029451
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036116397438036, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029452
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036116397438036, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029453
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 945036118314665442, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.128._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029454
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115458724364, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.128._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029455
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115436168658, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029456
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 945036117363227826, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029457
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 25158737, 11289680, 1134021, 776196453793973340, 945036115450381694, 4863547740, 3408417444], 'label': '8192.wy.4._.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029458
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036116408707580, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029459
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036118332132786, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029460
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 1981001417, 507231460158158244, 4846066770, 249695279010334470], 'label': '8192.wy.128._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029461
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1960646083, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029462
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 494447461208680350, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029463
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 23336182, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029464
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 4858882243, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.128._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029465
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 507231460158158244, 14236187, 3408417444, 249695279010334470], 'label': '8192.wy.128._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029466
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029467
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029468
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 1134021, 22207928, 14236187, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029469
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029470
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029471
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029851
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 494447461209773323, 507231460158158244], 'label': '8192.wy.1024._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.U', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029472
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 1981001417, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029473
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036118313575356, 494447461208680350, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.128._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029474
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 945036115457634278, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.128._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029475
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4856295156, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.128._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029476
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.128._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029477
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 776196453793973340, 494447462667802356, 494447461209773323, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029478
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 3314457, 776196453793973340, 494447462667802356, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029479
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 25158737, 1134021, 14236187, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029480
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 3314457, 776196453793973340, 494447461209773323, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029481
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 4866134850, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029482
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029483
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029484
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029485
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 1978453934, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029486
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029487
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029488
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 776196453793973340, 22207928, 507231460158158244, 494447461211630967, 249695279010334470], 'label': '8192.wy.128._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029489
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461227208812, 1978453934, 776196453793973340, 507231460158158244, 494447461211630967, 249695279010334470], 'label': '8192.wy.128._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029490
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [861174516875232349, 249695279010334470, 737383283709540630, 507231460158158244, 11289680, 1134021, 22207928, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029491
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695281895760924, 494447461208680350, 3409142490, 3314457, 776196453793973340, 507231460158158244], 'label': '8192.wy.128._.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029492
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 249695281895760924, 494447461208680350, 3314457, 776196453793973340, 507231460158158244], 'label': '8192.wy.128._.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029493
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 249695279011065283, 507231460158158244, 3408417444], 'label': '8192.wy.128._.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029494
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461227208812, 1978453934, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029495
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029496
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 945036118321918026, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029497
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029498
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 3408417444], 'label': '8192.wy.128._.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029499
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029500
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1346691766788082165, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029501
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [861174516875232349, 249695279010334470, 737383283709540630, 507231460158158244, 25158737, 11289680, 1134021, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029502
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 2079046919412422749, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029503
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781040245210, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029504
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 737383283709540630, 776196453793973340, 494447461209773323, 249695280477042542, 507231460158158244], 'label': '8192.wy.128._.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029505
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 3314457, 737383283709540630, 776196453793973340, 249695280477042542, 507231460158158244], 'label': '8192.wy.128._.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029506
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029507
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036117374169668, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029508
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 945036116397800922, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029509
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 945036118321190826, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029510
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029511
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1979178980, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.HZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.HZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029512
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [861174516875232349, 249695279010334470, 737383283709540630, 507231460158158244, 1134021, 22207928, 14236187, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029513
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3409142490, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.IA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.IA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029514
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.IB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.IB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029515
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 4863547740, 737383283709540630, 776196453793973340, 494447461209773323, 507231460158158244], 'label': '8192.wy.128._.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.IC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.IC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029516
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 861174516882515803, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.ID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.ID', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029517
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 1346691766785897630, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.IE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.IE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029518
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919410606164, 494447461208680350, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.IF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.IF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029519
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 1714817781038424300, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.IG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.IG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029520
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 3314457, 4863547740, 737383283709540630, 776196453793973340, 507231460158158244], 'label': '8192.wy.128._.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.IH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.IH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029521
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 861174516880694916, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.II', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.II', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029522
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 1346691766802618203, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.IJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.IJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029523
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [861174516875232349, 249695279010334470, 737383283709540630, 507231460158158244, 25158737, 1134021, 14236187, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029524
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 1714817781025709149, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.IK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.IK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029525
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 2079046919426958810, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.IL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.IL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029526
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 861174516867979765, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.IM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.IM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029527
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 1346691766800797316, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.IN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.IN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029528
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.IO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.IO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029529
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919425137900, 494447461208680350, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.IP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.IP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029530
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.IQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.IQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029531
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781032992603, 494447461208680350, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.IR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.IR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029532
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1346691766795334749, 494447461208680350, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.IS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.IS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029533
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036116397438036, 776196453793973340, 2079046919405170165, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.IT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.IT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029534
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 737383283709540630, 507231460158158244, 861174516865795230, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.2._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.Y', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029535
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 1134021, 3314457, 22207928, 776196453793973340, 4863547740, 3408417444], 'label': '8192.wy.4._.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029536
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036116397438036, 776196453793973340, 861174516889768410, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.IU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.IU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029537
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781031171716, 494447461208680350, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.IV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.IV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029538
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1346691766793518164, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.IW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.IW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029539
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919402985630, 494447461208680350, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.IX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.IX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029540
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036116397438036, 776196453793973340, 507231460158158244, 861174516887947500, 249695279010334470], 'label': '8192.wy.128._.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.IY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.IY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029541
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 1346691766809870810, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.IZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.IZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029542
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 2079046919419706203, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.JA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.JA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029543
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 1714817781018456565, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.JB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.JB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029544
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 861174516875232349, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.JC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.JC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029545
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 1346691766808049900, 507231460158158244, 249695279010334470], 'label': '8192.wy.128._.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.JD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.JD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029546
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 1134021, 3314457, 776196453793973340, 4863547740, 3408417444], 'label': '8192.wy.4._.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029547
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 507231460160740911, 737383283709540630, 776196453793973340, 4863547740, 13160703092503774], 'label': '8192.wy.128._.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.JE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.JE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029548
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458728194734, 494447461239217748, 3314457, 737383283709540630, 776196453793973340], 'label': '8192.wy.256._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029549
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458728194734, 3314457, 737383283709540630, 776196453793973340, 13160703103784182], 'label': '8192.wy.256._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029550
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460160740911, 4863547740, 737383283709540630, 776196453793973340, 13160703103784182], 'label': '8192.wy.256._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029551
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461239217748, 507231460160740911, 4863547740, 737383283709540630, 776196453793973340], 'label': '8192.wy.256._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029552
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458728194734, 507231460160740911, 737383283709540630, 776196453793973340, 34212526], 'label': '8192.wy.256._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.E', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029553
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458728194734, 507231460160740911, 737383283709540630, 776196453793973340, 507231460166529618], 'label': '8192.wy.256._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029554
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 4863547740, 737383283709540630, 776196453793973340, 507231460166529618], 'label': '8192.wy.256._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029555
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 4863547740, 737383283709540630, 776196453793973340, 34212526], 'label': '8192.wy.256._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.H', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029556
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [737383283709540630, 507231460158158244, 4866134850, 776196453793973340, 249695279040474524], 'label': '8192.wy.256._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.I', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029557
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 1134021, 3314457, 22207928, 776196453793973340, 4863547740, 945036115457634278, 3408417444], 'label': '8192.wy.4._.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029558
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 533259329834844012, 3314457, 776196450908879534, 507231460158158244], 'label': '8192.wy.256._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.J', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029559
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196450908879534, 507231460158158244, 249695279017955004], 'label': '8192.wy.256._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.K', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029560
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [737383283709540630, 776196453793973340, 4866134850, 507231460158158244, 249695280448685323], 'label': '8192.wy.256._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.L', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029561
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 776196453796560450, 507231460158158244, 3408417444], 'label': '8192.wy.256._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029562
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453786720756, 776196453796560450, 507231460158158244, 3408417444], 'label': '8192.wy.256._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.N', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029563
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4835190403, 737383283709540630, 776196453793973340, 4866134850, 507231460158158244], 'label': '8192.wy.256._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.O', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029564
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453786720756, 3314457, 507231460158158244, 3408417444], 'label': '8192.wy.256._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.P', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029565
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 3314457, 507231460158158244, 3408417444], 'label': '8192.wy.256._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.Q', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029566
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [737383283709540630, 776196453793973340, 34212526, 4866134850, 507231460158158244], 'label': '8192.wy.256._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.R', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029567
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 249695279020498185, 507231460158158244, 3408417444], 'label': '8192.wy.256._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.S', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029568
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 1134021, 3314457, 776196453793973340, 4863547740, 945036115457634278, 3408417444], 'label': '8192.wy.4._.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029569
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117374896868, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.T', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029570
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196450908879534, 249695279018317890, 507231460158158244], 'label': '8192.wy.256._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.U', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029571
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 533259329835931218, 3314457, 776196450908879534, 507231460158158244], 'label': '8192.wy.256._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.V', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029572
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 533259329835931218, 776196453796560450, 507231460158158244, 3408417444], 'label': '8192.wy.256._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.W', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029573
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 249695279018317890, 776196453796560450, 507231460158158244, 3408417444], 'label': '8192.wy.256._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.X', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029574
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 12055774, 776196450908879534, 776196453796560450, 507231460158158244], 'label': '8192.wy.256._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.Y', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029575
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196450908879534, 776196453787807962, 776196453796560450, 507231460158158244], 'label': '8192.wy.256._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.Z', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029576
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453787807962, 507231460158158244, 3408417444], 'label': '8192.wy.256._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029577
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 12055774, 507231460158158244, 3408417444], 'label': '8192.wy.256._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029578
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 249695279018317890, 3411000111, 507231460158158244], 'label': '8192.wy.256._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029579
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450744580, 3408417444], 'label': '8192.wy.4._.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029580
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 945036115451471780, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029581
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 507231460158158244, 14236187, 3408417444], 'label': '8192.wy.256._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029582
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 249695281885609603, 776196453793973340, 3411000111, 507231460158158244], 'label': '8192.wy.256._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029583
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029584
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 4866134850, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029585
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3398266123, 776196453793973340, 3411000111, 507231460158158244], 'label': '8192.wy.256._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029586
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 507231460158158244, 249695279017955004, 3408417444], 'label': '8192.wy.256._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029852
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460160740911, 776196453793973340, 13160703092503774], 'label': '8192.wy.1024._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.V', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029590
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 3314457, 776196453793973340, 4863547740, 945036115450744580, 3408417444], 'label': '8192.wy.4._.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029591
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 776196453793973340, 507231460158158244, 3408417444], 'label': '8192.wy.256._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029592
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 494447461228296018, 269008240778677934, 776196452338843044, 249695279010334470], 'label': '8192.wy.256._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029593
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 288173603483821890, 269008240778677934, 776196452338843044, 249695279010334470], 'label': '8192.wy.256._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029594
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 288173603483821890, 269008240778677934, 776196453796560450, 249695279010334470], 'label': '8192.wy.256._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029595
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461228296018, 269008240778677934, 776196453796560450, 249695279010334470], 'label': '8192.wy.256._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029596
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [269008240778677934, 23336182, 776196452338843044, 776196453796560450, 249695279010334470], 'label': '8192.wy.256._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029597
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196453776492370, 269008240778677934, 776196452338843044, 776196453796560450, 249695279010334470], 'label': '8192.wy.256._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029598
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 3314457, 776196453776492370, 269008240778677934, 249695279010334470], 'label': '8192.wy.256._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029599
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 3314457, 269008240778677934, 23336182, 249695279010334470], 'label': '8192.wy.256._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029600
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196453793973340, 494447461228296018, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029601
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 22207928, 776196453793973340, 4863547740, 945036115457634278, 945036115450744580, 3408417444], 'label': '8192.wy.4._.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.IZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.IZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029602
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 249695279013245601, 776196453793973340, 507231460158158244, 3408417444], 'label': '8192.wy.256._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029603
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 507231460158158244, 3408417444], 'label': '8192.wy.256._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029604
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196453793973340, 494447462646697603, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029605
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461227208812, 269008240778677934, 776196452338843044, 776196453796560450, 249695279010334470], 'label': '8192.wy.256._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029606
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [288173603483459004, 269008240778677934, 776196452338843044, 776196453796560450, 249695279010334470], 'label': '8192.wy.256._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029607
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1960646083, 776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029608
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 288173603483459004, 269008240778677934, 776196452338843044, 249695279010334470], 'label': '8192.wy.256._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029609
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461227208812, 3314457, 269008240778677934, 776196452338843044, 249695279010334470], 'label': '8192.wy.256._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029610
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196453793973340, 23336182, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029611
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 22207928, 269008240778677934, 776196453796560450, 249695279010334470], 'label': '8192.wy.256._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029612
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 776196453793973340, 4863547740, 945036115457634278, 945036115450744580, 3408417444], 'label': '8192.wy.4._.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029613
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 776196453775767324, 269008240778677934, 776196453796560450, 249695279010334470], 'label': '8192.wy.256._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029614
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [269008240778677934, 494447461209773323, 776196452338843044, 776196453796560450, 249695279010334470], 'label': '8192.wy.256._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029615
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [288173603505978524, 269008240778677934, 776196452338843044, 776196453796560450, 249695279010334470], 'label': '8192.wy.256._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029616
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 288173603505978524, 269008240778677934, 776196453796560450, 249695279010334470], 'label': '8192.wy.256._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029617
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 269008240778677934, 494447461209773323, 776196453796560450, 249695279010334470], 'label': '8192.wy.256._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029618
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 3314457, 269008240778677934, 776196452338843044, 249695279010334470], 'label': '8192.wy.256._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029619
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 776196453795060546, 269008240778677934, 776196452338843044, 249695279010334470], 'label': '8192.wy.256._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029620
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 3314457, 776196453795060546, 269008240778677934, 249695279010334470], 'label': '8192.wy.256._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029621
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 1978453934, 3314457, 269008240778677934, 249695279010334470], 'label': '8192.wy.256._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029622
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196450908879534, 249695279011065283, 776196453796560450, 507231460158158244], 'label': '8192.wy.256._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029623
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 945036115451471780, 11289680, 1134021, 776196453793973340, 22207928, 4863547740, 3408417444], 'label': '8192.wy.4._.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029624
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196450908879534, 533259329846852948, 776196453796560450, 507231460158158244], 'label': '8192.wy.256._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029625
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 533259329846852948, 776196453796560450, 507231460158158244, 3408417444], 'label': '8192.wy.256._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029626
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 249695279011065283, 776196453796560450, 507231460158158244, 3408417444], 'label': '8192.wy.256._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029627
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 776196450908879534, 507231460158158244], 'label': '8192.wy.256._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029628
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196450908879534, 776196453795060546, 507231460158158244], 'label': '8192.wy.256._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029629
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453795060546, 507231460158158244, 3408417444], 'label': '8192.wy.256._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.CW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029634
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 945036115451471780, 11289680, 1134021, 776196453793973340, 4863547740, 3408417444], 'label': '8192.wy.4._.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029635
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460160740911, 4863547740, 737383283709540630, 776196453793973340, 494447461209773323], 'label': '8192.wy.256._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029636
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 507231458728194734, 3314457, 737383283709540630, 776196453793973340], 'label': '8192.wy.256._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029637
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458728194734, 3314457, 737383283709540630, 776196453793973340, 507231460158883290], 'label': '8192.wy.256._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029638
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 4863547740, 737383283709540630, 776196453793973340, 507231460158883290], 'label': '8192.wy.256._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029639
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 3314457, 4863547740, 737383283709540630, 776196453793973340], 'label': '8192.wy.256._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029640
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 249695279011065283, 507231460158158244], 'label': '8192.wy.256._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029641
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 776196453775767324, 3314457, 269008240778677934, 249695279010334470], 'label': '8192.wy.256._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029642
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 3314457, 22207928, 269008240778677934, 249695279010334470], 'label': '8192.wy.256._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029643
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461229795781, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029644
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036116397438036, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029645
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460158158244, 3408417444, 1099504540658219364, 737383283709540630, 249695279010334470, 4863547740, 861174516865795230, 945036115450381694, 3314457, 776196453793973340, 22207928, 1134021], 'label': '8192.wy.2._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.Z', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029646
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 945036115451471780, 1134021, 776196453793973340, 22207928, 4863547740, 945036115457634278, 3408417444], 'label': '8192.wy.4._.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029647
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 249695281896485970, 3314457, 776196453793973340, 507231460158158244], 'label': '8192.wy.256._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029648
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029649
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029650
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3409142490, 3314457, 776196453793973340, 507231460158158244], 'label': '8192.wy.256._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029651
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029652
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029653
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 776196453793973340, 507231460158158244], 'label': '8192.wy.256._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029654
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 776196453793973340, 25158737, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029655
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4863547740, 737383283709540630, 776196453793973340, 507231460158158244, 494447461211630967], 'label': '8192.wy.256._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029656
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 4863547740, 737383283709540630, 776196453793973340, 507231460158158244], 'label': '8192.wy.256._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029657
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 945036115451471780, 1134021, 776196453793973340, 4863547740, 945036115457634278, 3408417444], 'label': '8192.wy.4._.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029658
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461227208812, 1978453934, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029659
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 776196453793973340, 494447461209773323, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029660
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [737383283709540630, 776196453793973340, 249695280477042542, 507231460158158244, 494447461211630967], 'label': '8192.wy.256._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029661
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029662
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 494447461208680350, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029663
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.256._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.EA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029664
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 776196453793973340, 494447462668889562, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.EB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029665
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.EC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029666
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458728194734, 507231460160740911, 737383283709540630, 776196453793973340, 494447461238130542], 'label': '8192.wy.256._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.ED', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029667
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1979178980, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.EE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029668
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 90305922862847798, 507231460158158244, 945036115451471780, 11289680, 1134021, 22207928, 776196453793973340, 4863547740, 3408417444], 'label': '8192.wy.4._.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029669
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458728194734, 507231460160740911, 737383283709540630, 776196453793973340, 13160703102655928], 'label': '8192.wy.256._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.EF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029670
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458728194734, 3314457, 737383283709540630, 776196453793973340, 13160703102655928], 'label': '8192.wy.256._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.EG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029671
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.EH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029672
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458728194734, 3314457, 737383283709540630, 776196453793973340, 494447461238130542], 'label': '8192.wy.256._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.EI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029673
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 507231460160740911, 737383283709540630, 776196453793973340, 4863547740], 'label': '8192.wy.256._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029676
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 737383283709540630, 776196453793973340, 249695279011065283, 507231460158158244], 'label': '8192.wy.256._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.EM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029677
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 737383283709540630, 3314457, 776196453793973340, 4863547740], 'label': '8192.wy.256._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.EN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029678
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4863547740, 737383283709540630, 776196453793973340, 494447461240717534, 507231460158158244], 'label': '8192.wy.256._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.EO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029679
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 737383283709540630, 90305922862847798, 507231460158158244, 945036115451471780, 11289680, 1134021, 776196453793973340, 4863547740, 3408417444], 'label': '8192.wy.4._.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029680
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 737383283709540630, 776196453793973340, 249695280477042542, 507231460158158244], 'label': '8192.wy.256._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.EP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029681
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 776196453793973340, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029682
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 737383283709540630, 776196453793973340, 249695280478129748, 507231460158158244], 'label': '8192.wy.256._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.ER', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029683
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4863547740, 737383283709540630, 776196453793973340, 36035104, 507231460158158244], 'label': '8192.wy.256._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.ES', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029684
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 507231460158158244, 945036116398528122, 249695279010334470], 'label': '8192.wy.256._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.ET', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029685
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 3314457, 737383283709540630, 776196453793973340, 507231460158158244], 'label': '8192.wy.256._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.EU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029686
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036118321918026, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.EV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029687
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4863547740, 737383283709540630, 776196453793973340, 494447461238130542, 507231460158158244], 'label': '8192.wy.256._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.EW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029688
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 3314457, 737383283709540630, 776196453793973340, 507231460158158244], 'label': '8192.wy.256._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.EX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029689
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196453793973340, 494447462667802356, 507231460158158244, 494447461211630967, 249695279010334470], 'label': '8192.wy.256._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.EY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029690
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 90305922862847798, 507231460158158244, 945036115451471780, 1134021, 22207928, 776196453793973340, 4863547740, 945036115457634278, 3408417444], 'label': '8192.wy.4._.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029691
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 776196453793973340, 494447462667802356, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029692
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 4863547740, 737383283709540630, 776196453793973340, 507231460158158244], 'label': '8192.wy.256._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.FA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029693
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 776196453793973340, 507231460158158244, 494447461211630967, 249695279010334470], 'label': '8192.wy.256._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.FB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029694
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.256._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.FC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029695
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196450908879534, 776196453796560450, 507231460158158244, 249695279017955004], 'label': '8192.wy.256._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.FD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029696
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 533259329834844012, 776196450908879534, 776196453796560450, 507231460158158244], 'label': '8192.wy.256._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.FE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029697
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [737383283709540630, 776196453793973340, 750167282671059162, 507231458730742217], 'label': '8192.wy.512._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029698
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [737383283709540630, 776196453793973340, 249695279040474524, 507231458730742217], 'label': '8192.wy.512._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029699
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [737383283709540630, 776196453793973340, 750167278344650974, 507231458730742217], 'label': '8192.wy.512._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029700
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [737383283709540630, 776196453793973340, 249695280448685323, 507231458730742217], 'label': '8192.wy.512._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029701
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 737383283709540630, 90305922862847798, 507231460158158244, 945036115451471780, 1134021, 776196453793973340, 4863547740, 945036115457634278, 3408417444], 'label': '8192.wy.4._.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029702
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458717639490, 737383283709540630, 776196453793973340, 4866134850], 'label': '8192.wy.512._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.E', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029703
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4835190403, 737383283709540630, 776196453793973340, 4866134850], 'label': '8192.wy.512._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029704
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [737383283709540630, 776196453793973340, 507231460166529618, 4866134850], 'label': '8192.wy.512._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029705
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [737383283709540630, 776196453793973340, 34212526, 4866134850], 'label': '8192.wy.512._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.H', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029706
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 533259329835931218, 776196450911427017, 507231460158158244], 'label': '8192.wy.512._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.I', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029707
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196450911427017, 249695279018317890, 507231460158158244], 'label': '8192.wy.512._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.J', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029708
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196450911427017, 533259326972273326, 507231460158158244], 'label': '8192.wy.512._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.K', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029709
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 249695281885609603, 776196450911427017, 507231460158158244], 'label': '8192.wy.512._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.L', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029710
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196450920480924, 3411000111, 507231460158158244], 'label': '8192.wy.512._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029711
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3398266123, 3411000111, 507231460158158244], 'label': '8192.wy.512._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.N', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029712
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 1134021, 3314457, 776196453793973340, 22207928, 3408417444], 'label': '8192.wy.4._.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029713
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453787807962, 3411000111, 507231460158158244], 'label': '8192.wy.512._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.O', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029714
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 12055774, 3411000111, 507231460158158244], 'label': '8192.wy.512._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.P', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029715
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196452341425711, 288173603483821890, 269008240778677934, 249695279010334470], 'label': '8192.wy.512._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.Q', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029716
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196452341425711, 494447461228296018, 269008240778677934, 249695279010334470], 'label': '8192.wy.512._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.R', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029717
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196452341425711, 288173602069054126, 269008240778677934, 249695279010334470], 'label': '8192.wy.512._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.S', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029718
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196452341425711, 269008240778677934, 494447462646697603, 249695279010334470], 'label': '8192.wy.512._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.T', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029719
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196452358136148, 269008240778677934, 1981001417, 249695279010334470], 'label': '8192.wy.512._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.U', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029720
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1960646083, 269008240778677934, 1981001417, 249695279010334470], 'label': '8192.wy.512._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.V', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029721
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196453776492370, 269008240778677934, 1981001417, 249695279010334470], 'label': '8192.wy.512._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.W', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029722
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [269008240778677934, 23336182, 1981001417, 249695279010334470], 'label': '8192.wy.512._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.X', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029723
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 1134021, 3314457, 776196453793973340, 3408417444], 'label': '8192.wy.4._.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029724
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [288173603505253478, 249695279011065283, 776196453796560450, 507231460158158244], 'label': '8192.wy.512._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.Y', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029725
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [288173603505253478, 533259329846852948, 776196453796560450, 507231460158158244], 'label': '8192.wy.512._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.Z', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029726
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 533259329846852948, 776196453796560450, 507231460158158244], 'label': '8192.wy.512._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029727
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 249695279011065283, 776196453796560450, 507231460158158244], 'label': '8192.wy.512._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029728
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 533259326961396982, 776196453796560450, 507231460158158244], 'label': '8192.wy.512._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029729
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 249695281896485970, 776196453796560450, 507231460158158244], 'label': '8192.wy.512._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029730
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 507231460158158244, 776196450909604580], 'label': '8192.wy.512._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029731
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3409142490, 3314457, 507231460158158244], 'label': '8192.wy.512._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029732
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 3314457, 288173603505253478, 507231460158158244], 'label': '8192.wy.512._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029733
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 288173603505253478, 776196453795060546, 507231460158158244], 'label': '8192.wy.512._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029734
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 861174516873415764, 1134021, 3314457, 4856295156, 22207928, 776196453793973340, 3408417444], 'label': '8192.wy.4._.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029735
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453795060546, 507231460158158244], 'label': '8192.wy.512._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029736
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 507231460158158244], 'label': '8192.wy.512._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029737
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [533259329845765742, 269008240778677934, 494447461209773323, 776196453796560450], 'label': '8192.wy.512._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029738
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [533259329845765742, 288173603505978524, 269008240778677934, 776196453796560450], 'label': '8192.wy.512._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029739
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [288173603505978524, 269008240778677934, 776196453796560450, 249695279010334470], 'label': '8192.wy.512._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029740
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [269008240778677934, 494447461209773323, 776196453796560450, 249695279010334470], 'label': '8192.wy.512._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029741
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [288173602046897374, 269008240778677934, 776196453796560450, 249695279010334470], 'label': '8192.wy.512._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029742
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [269008240778677934, 494447462668889562, 776196453796560450, 249695279010334470], 'label': '8192.wy.512._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029743
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196452339568090, 3314457, 269008240778677934, 249695279010334470], 'label': '8192.wy.512._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029744
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1979178980, 3314457, 269008240778677934, 249695279010334470], 'label': '8192.wy.512._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029745
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 861174516873415764, 1134021, 3314457, 4856295156, 776196453793973340, 3408417444], 'label': '8192.wy.4._.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029746
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 3314457, 533259329845765742, 269008240778677934], 'label': '8192.wy.512._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029747
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 533259329845765742, 776196453795060546, 269008240778677934], 'label': '8192.wy.512._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029748
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 776196453795060546, 269008240778677934, 249695279010334470], 'label': '8192.wy.512._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029749
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 3314457, 269008240778677934, 249695279010334470], 'label': '8192.wy.512._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029750
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460160740911, 776196453793973340, 249695279011065283, 256097827040348604], 'label': '8192.wy.512._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029751
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460160740911, 776196453793973340, 750167282659743570, 256097827040348604], 'label': '8192.wy.512._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029752
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460160740911, 737383283709540630, 776196453793973340, 750167282659743570], 'label': '8192.wy.512._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029753
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460160740911, 737383283709540630, 776196453793973340, 249695279011065283], 'label': '8192.wy.512._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029754
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460160740911, 750167278355931382, 737383283709540630, 776196453793973340], 'label': '8192.wy.512._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029755
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460160740911, 737383283709540630, 776196453793973340, 249695280478129748], 'label': '8192.wy.512._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029756
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 737383283709540630, 507231460158158244, 11289680, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.2._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029757
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4864634946, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 3314457, 776196453793973340, 22207928, 3408417444], 'label': '8192.wy.4._.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029758
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 737383283709540630, 776196453793973340, 507231458728919780], 'label': '8192.wy.512._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029759
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 3314457, 737383283709540630, 776196453793973340], 'label': '8192.wy.512._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029760
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 3314457, 776196453793973340, 256097827040348604], 'label': '8192.wy.512._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029761
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 776196453793973340, 507231460158883290, 256097827040348604], 'label': '8192.wy.512._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029762
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 737383283709540630, 776196453793973340, 507231460158883290], 'label': '8192.wy.512._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029763
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 3314457, 737383283709540630, 776196453793973340], 'label': '8192.wy.512._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029764
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 776196453793973340, 249695279011065283, 507231460158158244], 'label': '8192.wy.512._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029765
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461227208812, 269008240778677934, 776196452338843044, 249695279010334470], 'label': '8192.wy.512._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029766
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 776196453775767324, 269008240778677934, 249695279010334470], 'label': '8192.wy.512._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029767
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 22207928, 269008240778677934, 249695279010334470], 'label': '8192.wy.512._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029768
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 4864634946, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 3314457, 776196453793973340, 3408417444], 'label': '8192.wy.4._.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029769
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 269008240778677934, 776196452338843044, 249695279010334470], 'label': '8192.wy.512._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029770
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [269008240778677934, 776196452338843044, 776196453796560450, 249695279010334470], 'label': '8192.wy.512._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029771
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 269008240778677934, 776196453796560450, 249695279010334470], 'label': '8192.wy.512._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029772
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 3314457, 269008240778677934, 249695279010334470], 'label': '8192.wy.512._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029773
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [737383283709540630, 776196453793973340, 249695280477042542, 507231460158158244], 'label': '8192.wy.512._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029774
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.512._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029775
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4863547740, 737383283709540630, 776196453793973340, 507231460158158244], 'label': '8192.wy.512._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029776
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [737383283710633603, 3314457, 776196453793973340, 507231460158158244], 'label': '8192.wy.512._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029777
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196450908879534, 507231460158158244], 'label': '8192.wy.512._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029778
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196450908879534, 776196453796560450, 507231460158158244], 'label': '8192.wy.512._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029779
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4864634946, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 4856295156, 22207928, 776196453793973340, 3408417444], 'label': '8192.wy.4._.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029780
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453796560450, 507231460158158244, 3408417444], 'label': '8192.wy.512._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029781
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 507231460158158244, 3408417444], 'label': '8192.wy.512._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029782
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458728194734, 3314457, 737383283709540630, 776196453793973340], 'label': '8192.wy.512._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029783
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458728194734, 507231460160740911, 737383283709540630, 776196453793973340], 'label': '8192.wy.512._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029784
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460160740911, 4863547740, 737383283709540630, 776196453793973340], 'label': '8192.wy.512._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029785
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 4863547740, 737383283709540630, 776196453793973340], 'label': '8192.wy.512._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029786
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 249695279013245601, 776196453793973340, 507231460158158244], 'label': '8192.wy.512._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029787
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 507231460158158244, 249695281898343709], 'label': '8192.wy.512._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029788
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 3411000111, 507231460158158244], 'label': '8192.wy.512._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029789
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695281895760924, 494447461208680350, 776196453793973340, 507231460158158244], 'label': '8192.wy.512._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029790
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 4864634946, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 4856295156, 776196453793973340, 3408417444], 'label': '8192.wy.4._.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029791
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 737383283709540630, 776196453793973340, 507231460158158244], 'label': '8192.wy.512._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029792
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 507231460158158244], 'label': '8192.wy.512._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029793
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 507231460158158244, 3408417444], 'label': '8192.wy.512._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029794
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196453793973340, 494447462667802356, 507231460158158244, 249695279010334470], 'label': '8192.wy.512._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029795
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279013245601, 737383283709540630, 776196453793973340, 507231460158158244], 'label': '8192.wy.512._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029796
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695280479629534, 737383283709540630, 776196453793973340, 507231460158158244], 'label': '8192.wy.512._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029797
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 3314457, 776196453793973340, 507231460158158244], 'label': '8192.wy.512._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029798
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196453793973340, 507231460158158244, 494447461211630967, 249695279010334470], 'label': '8192.wy.512._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029799
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447462670389443, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.512._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029800
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196453793973340, 1981001417, 507231460158158244, 249695279010334470], 'label': '8192.wy.512._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029801
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 861174516873415764, 4866134850, 11289680, 1134021, 22207928, 776196453793973340, 3408417444], 'label': '8192.wy.4._.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029802
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [737383283709540630, 776196453793973340, 4866134850, 507231460158158244], 'label': '8192.wy.512._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029803
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.512._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029804
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.512._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029805
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458728194734, 737383283709540630, 776196453793973340, 13160703105606737], 'label': '8192.wy.512._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029806
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458728194734, 737383283709540630, 776196453793973340, 494447461240717534], 'label': '8192.wy.512._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029807
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4863547740, 737383283709540630, 776196453793973340, 507231460168029381], 'label': '8192.wy.512._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029808
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4863547740, 737383283709540630, 776196453793973340, 36035104], 'label': '8192.wy.512._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029809
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458728194734, 737383283709540630, 776196453793973340, 13160703102655928], 'label': '8192.wy.512._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029810
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458728194734, 737383283709540630, 776196453793973340, 494447461238130542], 'label': '8192.wy.512._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029811
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460165442412, 4863547740, 737383283709540630, 776196453793973340], 'label': '8192.wy.512._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029812
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 861174516873415764, 4866134850, 11289680, 1134021, 776196453793973340, 3408417444], 'label': '8192.wy.4._.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029813
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 4863547740, 737383283709540630, 776196453793973340], 'label': '8192.wy.512._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.EA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029814
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196450908879534, 533259329837430981, 507231460158158244], 'label': '8192.wy.512._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.EB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029815
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196450908879534, 249695279020498185, 507231460158158244], 'label': '8192.wy.512._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.EC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029816
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196453789307843, 494447461208680350, 507231460158158244, 3408417444], 'label': '8192.wy.512._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.ED', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029817
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 507231460158158244, 14236187, 3408417444], 'label': '8192.wy.512._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.EE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029818
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 533259329834844012, 776196450908879534, 507231460158158244], 'label': '8192.wy.512._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.EF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029819
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196450908879534, 507231460158158244, 249695279017955004], 'label': '8192.wy.512._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.EG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029820
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453786720756, 507231460158158244, 3408417444], 'label': '8192.wy.512._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.EH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029821
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 507231460158158244, 3408417444], 'label': '8192.wy.512._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.EI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029822
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [288173603486002185, 269008240778677934, 776196452338843044, 249695279010334470], 'label': '8192.wy.512._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029823
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 861174516873415764, 4866134850, 1134021, 4856295156, 22207928, 776196453793973340, 3408417444], 'label': '8192.wy.4._.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029824
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461229795781, 269008240778677934, 776196452338843044, 249695279010334470], 'label': '8192.wy.512._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.EK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029825
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 269008240778677934, 776196453778350109, 249695279010334470], 'label': '8192.wy.512._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.EL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029826
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 269008240778677934, 25158737, 249695279010334470], 'label': '8192.wy.512._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.EM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029827
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [288173603483459004, 269008240778677934, 776196452338843044, 249695279010334470], 'label': '8192.wy.512._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.EN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029828
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 776196453793973340, 494447461209773323, 507231460158158244], 'label': '8192.wy.512._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.EO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029829
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 249695279011065283, 269008240778677934], 'label': '8192.wy.1024._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029830
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [533259329846852948, 776196453796560450, 507231460158158244], 'label': '8192.wy.1024._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029831
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279011065283, 776196453796560450, 507231460158158244], 'label': '8192.wy.1024._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029832
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460160740911, 776196453793973340, 750167282659743570], 'label': '8192.wy.1024._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029833
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460160740911, 776196453793973340, 249695279011065283], 'label': '8192.wy.1024._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.E', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029834
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 861174516873415764, 4866134850, 1134021, 4856295156, 776196453793973340, 3408417444], 'label': '8192.wy.4._.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029835
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 507231460158158244, 3408417444], 'label': '8192.wy.1024._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029836
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [269008240778677934, 776196453796560450, 45237781005118126], 'label': '8192.wy.1024._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029837
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [737383283710633603, 269008240778677934, 776196453796560450], 'label': '8192.wy.1024._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.H', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029838
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196453796560450, 507231460158158244, 45237781005118126], 'label': '8192.wy.1024._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.I', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029839
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [737383283710633603, 776196453796560450, 507231460158158244], 'label': '8192.wy.1024._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.J', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029840
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 776196453793973340, 256097827040711490], 'label': '8192.wy.1024._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.K', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029841
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [737383283710633603, 3314457, 776196453793973340], 'label': '8192.wy.1024._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.L', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029842
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231458728194734, 737383283709540630, 776196453793973340], 'label': '8192.wy.1024._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029843
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4863547740, 737383283709540630, 776196453793973340], 'label': '8192.wy.1024._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.N', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029844
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453793973340, 507231460158158244], 'label': '8192.wy.1024._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.O', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029845
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 4866134850, 11289680, 1134021, 22207928, 776196453793973340, 3408417444], 'label': '8192.wy.4._.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029846
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.1024._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.P', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029847
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196450908879534, 507231460158158244], 'label': '8192.wy.1024._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.Q', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029848
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [288173603505978524, 269008240778677934, 776196453796560450], 'label': '8192.wy.1024._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.R', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029856
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 2079046919417885316, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 4866134850, 11289680, 1134021, 776196453793973340, 3408417444], 'label': '8192.wy.4._.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029857
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 3314457, 269008240778677934], 'label': '8192.wy.1024._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.Z', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029858
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 776196453795060546, 507231460158158244], 'label': '8192.wy.1024._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029859
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 3314457, 507231460158158244], 'label': '8192.wy.1024._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029860
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 776196453793973340, 507231460158883290], 'label': '8192.wy.1024._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029861
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 3314457, 776196453793973340], 'label': '8192.wy.1024._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029862
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196450911427017, 507231460158158244], 'label': '8192.wy.1024._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029863
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3411000111, 507231460158158244], 'label': '8192.wy.1024._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029864
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [288173603505253478, 776196453796560450, 507231460158158244], 'label': '8192.wy.1024._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029865
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 288173603505253478, 507231460158158244], 'label': '8192.wy.1024._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029866
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 776196453796560450, 507231460158158244], 'label': '8192.wy.1024._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029867
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 1134021, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.2._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029868
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 4866134850, 1134021, 4856295156, 22207928, 776196453793973340, 3408417444], 'label': '8192.wy.4._.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029869
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 507231460158158244], 'label': '8192.wy.1024._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029870
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196452341425711, 269008240778677934, 249695279010334470], 'label': '8192.wy.1024._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029871
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [269008240778677934, 1981001417, 249695279010334470], 'label': '8192.wy.1024._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029872
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [533259329845765742, 269008240778677934, 776196453796560450], 'label': '8192.wy.1024._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029873
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 533259329845765742, 269008240778677934], 'label': '8192.wy.1024._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029874
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [269008240778677934, 776196453796560450, 249695279010334470], 'label': '8192.wy.1024._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029875
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 269008240778677934, 249695279010334470], 'label': '8192.wy.1024._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029876
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [737383283709540630, 776196453793973340, 507231458730742217], 'label': '8192.wy.1024._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029877
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [737383283709540630, 776196453793973340, 4866134850], 'label': '8192.wy.1024._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029878
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460160740911, 776196453793973340, 256097827040348604], 'label': '8192.wy.1024._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029879
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 2079046919417885316, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 4866134850, 1134021, 4856295156, 776196453793973340, 3408417444], 'label': '8192.wy.4._.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029880
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 776196453793973340, 256097827040348604], 'label': '8192.wy.1024._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029881
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460160740911, 737383283709540630, 776196453793973340], 'label': '8192.wy.1024._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029882
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 737383283709540630, 776196453793973340], 'label': '8192.wy.1024._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029883
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279013245601, 776196453793973340, 507231460158158244], 'label': '8192.wy.1024._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029884
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [737383283712491365, 776196453793973340, 507231460158158244], 'label': '8192.wy.1024._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029885
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [269008240778677934, 776196452338843044, 249695279010334470], 'label': '8192.wy.1024._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029886
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1978453934, 269008240778677934, 249695279010334470], 'label': '8192.wy.1024._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029887
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196453793973340, 507231460158158244, 494447461211630967], 'label': '8192.wy.1024._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029888
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 776196453793973340, 507231460158158244], 'label': '8192.wy.1024._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029889
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 533259329846852948, 269008240778677934], 'label': '8192.wy.1024._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024._.CC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029890
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 945036117373806782, 11289680, 1134021, 3314457, 22207928, 776196453793973340, 4863547740], 'label': '8192.wy.4._.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.JZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.JZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029891
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [750167282659743570, 269008240781225417], 'label': '8192.wy.2048._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029892
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [26072418278542582, 269008240781225417], 'label': '8192.wy.2048._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029893
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [533259329846852948, 269008240781225417], 'label': '8192.wy.2048._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029894
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279011065283, 269008240781225417], 'label': '8192.wy.2048._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029895
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [256097827040711490, 776196453796560450], 'label': '8192.wy.2048._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.E', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029896
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [513717263496936018, 776196453796560450], 'label': '8192.wy.2048._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029897
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196453796560450, 45237781005118126], 'label': '8192.wy.2048._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029898
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [737383283710633603, 776196453796560450], 'label': '8192.wy.2048._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.H', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029899
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460160740911, 13160703092503774], 'label': '8192.wy.2048._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.I', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029900
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460160740911, 763412541987948762], 'label': '8192.wy.2048._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.J', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029901
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 945036117373806782, 11289680, 1134021, 3314457, 776196453793973340, 4863547740], 'label': '8192.wy.4._.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029904
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 507231460158883290], 'label': '8192.wy.2048._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029905
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 269008240779402980], 'label': '8192.wy.2048._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.N', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029906
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 776196453795060546], 'label': '8192.wy.2048._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.O', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029907
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [533259329845765742, 269008240778677934], 'label': '8192.wy.2048._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.P', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029908
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [533259329848352734, 269008240778677934], 'label': '8192.wy.2048._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.Q', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029909
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279013245601, 269008240778677934], 'label': '8192.wy.2048._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.R', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029910
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196453793973340, 256097827042891785], 'label': '8192.wy.2048._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.S', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029911
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [737383283712491365, 776196453793973340], 'label': '8192.wy.2048._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.T', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029912
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 945036117373806782, 1134021, 3314457, 22207928, 776196453793973340, 4863547740, 945036115457634278], 'label': '8192.wy.4._.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029913
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [288173603507800984, 507231460158158244], 'label': '8192.wy.2048._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.U', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029914
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460158158244, 494447461211630967], 'label': '8192.wy.2048._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.V', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029915
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [269008240778677934, 776196453796560450], 'label': '8192.wy.2048._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.W', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029916
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 269008240778677934], 'label': '8192.wy.2048._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.X', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029917
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196453796560450, 507231460158158244], 'label': '8192.wy.2048._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.Y', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029918
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 507231460158158244], 'label': '8192.wy.2048._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.Z', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029919
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460160740911, 776196453793973340], 'label': '8192.wy.2048._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029920
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457, 776196453793973340], 'label': '8192.wy.2048._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029921
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [269008240778677934, 249695279010334470], 'label': '8192.wy.2048._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029922
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196453793973340, 256097827040348604], 'label': '8192.wy.2048._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029923
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 945036117373806782, 1134021, 3314457, 776196453793973340, 4863547740, 945036115457634278], 'label': '8192.wy.4._.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029924
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [737383283709540630, 776196453793973340], 'label': '8192.wy.2048._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029925
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196453793973340, 507231460158158244], 'label': '8192.wy.2048._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029926
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [288173603505253478, 507231460158158244], 'label': '8192.wy.2048._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029927
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 507231460158158244], 'label': '8192.wy.2048._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029928
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 3314457], 'label': '8192.wy.2048._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2048.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048._.BI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029929
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196453793973340], 'label': '8192.wy.4096._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029930
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460160740911], 'label': '8192.wy.4096._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029931
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [776196453796560450], 'label': '8192.wy.4096._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029932
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3314457], 'label': '8192.wy.4096._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029933
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [269008240778677934], 'label': '8192.wy.4096._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.E', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029934
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 945036117373806782, 11289680, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450744580], 'label': '8192.wy.4._.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029935
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [507231460158158244], 'label': '8192.wy.4096._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029936
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [269008240781225417], 'label': '8192.wy.4096._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4096.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096._.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029937
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': '8192.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '8192.wy.8192.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8192.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029938
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 945036117373806782, 11289680, 3314457, 776196453793973340, 4863547740, 945036115450744580], 'label': '8192.wy.4._.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029939
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 945036117373806782, 3314457, 22207928, 776196453793973340, 4863547740, 945036115457634278, 945036115450744580], 'label': '8192.wy.4._.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029940
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 945036117373806782, 3314457, 776196453793973340, 4863547740, 945036115457634278, 945036115450744580], 'label': '8192.wy.4._.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029941
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 507231460158158244, 3314457, 22207928, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 861174516873778650, 3408417444], 'label': '8192.wy.2._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029942
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.2._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029943
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 945036115451471780, 945036117373806782, 11289680, 1134021, 776196453793973340, 22207928, 4863547740], 'label': '8192.wy.4._.KH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029944
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 945036115451471780, 945036117373806782, 11289680, 1134021, 776196453793973340, 4863547740], 'label': '8192.wy.4._.KI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029945
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 945036115451471780, 945036117373806782, 1134021, 776196453793973340, 22207928, 4863547740, 945036115457634278], 'label': '8192.wy.4._.KJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029946
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 945036115451471780, 945036117373806782, 1134021, 776196453793973340, 4863547740, 945036115457634278], 'label': '8192.wy.4._.KK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030092
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3409142490, 249695279010334470, 861174516887947500, 507231460158158244, 945036117373806782, 861174516865795230, 3314457, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.8._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.H', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029947
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 90305922862847798, 507231460158158244, 945036115451471780, 945036117373806782, 11289680, 1134021, 22207928, 776196453793973340, 4863547740], 'label': '8192.wy.4._.KL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029948
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 737383283709540630, 90305922862847798, 507231460158158244, 945036115451471780, 945036117373806782, 11289680, 1134021, 776196453793973340, 4863547740], 'label': '8192.wy.4._.KM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029949
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 90305922862847798, 507231460158158244, 945036115451471780, 945036117373806782, 1134021, 22207928, 776196453793973340, 4863547740, 945036115457634278], 'label': '8192.wy.4._.KN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029950
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 737383283709540630, 90305922862847798, 507231460158158244, 945036115451471780, 945036117373806782, 1134021, 776196453793973340, 4863547740, 945036115457634278], 'label': '8192.wy.4._.KO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029951
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 861174516873415764, 945036117373806782, 11289680, 1134021, 3314457, 776196453793973340, 22207928], 'label': '8192.wy.4._.KP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029952
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 861174516873415764, 945036117373806782, 11289680, 1134021, 3314457, 776196453793973340], 'label': '8192.wy.4._.KQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029953
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 1134021, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.2._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029954
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 861174516873415764, 945036117373806782, 1134021, 3314457, 4856295156, 22207928, 776196453793973340], 'label': '8192.wy.4._.KR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029955
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 861174516873415764, 945036117373806782, 1134021, 3314457, 4856295156, 776196453793973340], 'label': '8192.wy.4._.KS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029956
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4864634946, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 861174516873415764, 945036117373806782, 11289680, 3314457, 776196453793973340, 22207928], 'label': '8192.wy.4._.KT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029957
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 4864634946, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 861174516873415764, 945036117373806782, 11289680, 3314457, 776196453793973340], 'label': '8192.wy.4._.KU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029958
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4864634946, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 861174516873415764, 945036117373806782, 3314457, 4856295156, 22207928, 776196453793973340], 'label': '8192.wy.4._.KV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029959
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 4864634946, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 861174516873415764, 945036117373806782, 3314457, 4856295156, 776196453793973340], 'label': '8192.wy.4._.KW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029960
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 861174516873415764, 4866134850, 945036117373806782, 11289680, 1134021, 776196453793973340, 22207928], 'label': '8192.wy.4._.KX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029961
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 861174516873415764, 4866134850, 945036117373806782, 11289680, 1134021, 776196453793973340], 'label': '8192.wy.4._.KY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029962
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 861174516873415764, 4866134850, 945036117373806782, 1134021, 4856295156, 22207928, 776196453793973340], 'label': '8192.wy.4._.KZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.KZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.KZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029963
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 861174516873415764, 4866134850, 945036117373806782, 1134021, 4856295156, 776196453793973340], 'label': '8192.wy.4._.LA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029964
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.2._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.BE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029965
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 4866134850, 945036117373806782, 11289680, 1134021, 22207928, 776196453793973340], 'label': '8192.wy.4._.LB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029966
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 2079046919417885316, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 4866134850, 945036117373806782, 11289680, 1134021, 776196453793973340], 'label': '8192.wy.4._.LC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029967
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 4866134850, 945036117373806782, 1134021, 4856295156, 22207928, 776196453793973340], 'label': '8192.wy.4._.LD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029968
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 2079046919417885316, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 4866134850, 945036117373806782, 1134021, 4856295156, 776196453793973340], 'label': '8192.wy.4._.LE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029969
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 1134021, 3314457, 22207928, 776196453793973340, 945036115450381694, 4863547740], 'label': '8192.wy.4._.LF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029970
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 3426623342, 11289680, 1134021, 3314457, 776196453793973340, 945036115450381694, 4863547740], 'label': '8192.wy.4._.LG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029971
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 737383283709540630, 507231460158158244, 11289680, 1134021, 3314457, 22207928, 776196453793973340, 945036115450381694, 4863547740], 'label': '8192.wy.4._.LH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029972
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 737383283709540630, 507231460158158244, 3426623342, 11289680, 1134021, 3314457, 776196453793973340, 945036115450381694, 4863547740], 'label': '8192.wy.4._.LI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029973
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3409142490, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 3314457, 22207928, 776196453793973340, 945036115450381694, 4863547740], 'label': '8192.wy.4._.LJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029974
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3409142490, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 3426623342, 11289680, 3314457, 776196453793973340, 945036115450381694, 4863547740], 'label': '8192.wy.4._.LK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029975
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 3314457, 22207928, 776196453793973340, 945036115450381694, 4863547740, 3408417444], 'label': '8192.wy.4._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029976
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1714817781016272030, 3409142490, 249695279010334470, 737383283709540630, 507231460158158244, 11289680, 3314457, 22207928, 776196453793973340, 945036115450381694, 4863547740], 'label': '8192.wy.4._.LL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029977
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1714817781016272030, 3409142490, 249695279010334470, 737383283709540630, 507231460158158244, 3426623342, 11289680, 3314457, 776196453793973340, 945036115450381694, 4863547740], 'label': '8192.wy.4._.LM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029978
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 1134021, 776196453793973340, 22207928, 945036115450381694, 4863547740], 'label': '8192.wy.4._.LN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029979
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 737383283709540630, 507231460158158244, 861174516873415764, 3426623342, 11289680, 1134021, 776196453793973340, 945036115450381694, 4863547740], 'label': '8192.wy.4._.LO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029980
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 737383283709540630, 3397173150, 507231460158158244, 861174516873415764, 1134021, 776196453793973340, 22207928, 945036115450381694, 4863547740], 'label': '8192.wy.4._.LP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029981
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 737383283709540630, 3397173150, 507231460158158244, 861174516873415764, 3426623342, 1134021, 776196453793973340, 945036115450381694, 4863547740], 'label': '8192.wy.4._.LQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029982
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 3411000111, 737383283709540630, 507231460158158244, 11289680, 1134021, 776196453793973340, 22207928, 945036115450381694, 4863547740], 'label': '8192.wy.4._.LR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029983
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 3411000111, 737383283709540630, 507231460158158244, 3426623342, 11289680, 1134021, 776196453793973340, 945036115450381694, 4863547740], 'label': '8192.wy.4._.LS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029984
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 3411000111, 737383283709540630, 3397173150, 507231460158158244, 1134021, 22207928, 776196453793973340, 945036115450381694, 4863547740], 'label': '8192.wy.4._.LT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029985
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 3411000111, 737383283709540630, 3397173150, 507231460158158244, 3426623342, 1134021, 776196453793973340, 945036115450381694, 4863547740], 'label': '8192.wy.4._.LU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029986
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 3314457, 776196453793973340, 945036115450381694, 4863547740, 1099504540650950844, 3408417444], 'label': '8192.wy.4._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029987
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1134021, 945036115450381694, 1978453934, 11289680, 3314457, 737383283709540630, 776196453793973340, 861174516873415764, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.4._.LV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029988
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 249695279010334470, 1978453934, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 1134021, 3314457, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.LW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029989
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 1978453934, 737383283709540630, 507231460158158244, 11289680, 1134021, 3314457, 22207928, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.LX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029990
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 2079046919417885316, 249695279010334470, 1978453934, 737383283709540630, 507231460158158244, 11289680, 1134021, 3314457, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.LY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029991
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4864634946, 945036115450381694, 1978453934, 11289680, 3314457, 737383283709540630, 776196453793973340, 861174516873415764, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.4._.LZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.LZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.LZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029992
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 4864634946, 249695279010334470, 1978453934, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 3314457, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.MA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029993
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 4864634946, 249695279010334470, 1978453934, 737383283709540630, 507231460158158244, 11289680, 3314457, 22207928, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.MB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029994
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 2079046919417885316, 4864634946, 249695279010334470, 1978453934, 737383283709540630, 507231460158158244, 11289680, 3314457, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.MC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029995
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 1978453934, 737383283709540630, 507231460158158244, 861174516873415764, 4866134850, 11289680, 1134021, 776196453793973340, 22207928, 945036115450381694], 'label': '8192.wy.4._.MD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029996
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 249695279010334470, 1978453934, 737383283709540630, 507231460158158244, 861174516873415764, 4866134850, 11289680, 1134021, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.ME', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ME', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ME', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029997
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 23336182, 507231460158158244, 861174516873415764, 11289680, 3314457, 776196453793973340, 945036115450381694, 4863547740, 3408417444], 'label': '8192.wy.4._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029998
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 1978453934, 737383283709540630, 507231460158158244, 861174516873415764, 4866134850, 1134021, 4856295156, 22207928, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.MF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255029999
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 249695279010334470, 1978453934, 737383283709540630, 507231460158158244, 861174516873415764, 4866134850, 1134021, 4856295156, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.MG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030000
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 1978453934, 737383283709540630, 507231460158158244, 4866134850, 11289680, 1134021, 22207928, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.MH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030001
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 2079046919417885316, 249695279010334470, 1978453934, 737383283709540630, 507231460158158244, 4866134850, 11289680, 1134021, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.MI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030002
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 1978453934, 737383283709540630, 507231460158158244, 4866134850, 1134021, 4856295156, 22207928, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.MJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030003
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 2079046919417885316, 249695279010334470, 1978453934, 737383283709540630, 507231460158158244, 4866134850, 1134021, 4856295156, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.MK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030004
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 1134021, 3314457, 22207928, 776196453793973340, 945036115450381694, 3408417444], 'label': '8192.wy.4._.ML', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ML', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ML', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030005
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 1134021, 3314457, 4856295156, 22207928, 776196453793973340, 945036115450381694, 3408417444], 'label': '8192.wy.4._.MM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030006
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 737383283709540630, 507231460158158244, 11289680, 1134021, 3314457, 22207928, 776196453793973340, 945036115450381694, 3408417444], 'label': '8192.wy.4._.MN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030007
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 737383283709540630, 507231460158158244, 1134021, 3314457, 4856295156, 22207928, 776196453793973340, 945036115450381694, 3408417444], 'label': '8192.wy.4._.MO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030008
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030009
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4864634946, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 3314457, 22207928, 776196453793973340, 945036115450381694, 3408417444], 'label': '8192.wy.4._.MP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030010
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4864634946, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 4856295156, 22207928, 776196453793973340, 945036115450381694, 3408417444], 'label': '8192.wy.4._.MQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030011
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 4864634946, 249695279010334470, 737383283709540630, 507231460158158244, 11289680, 3314457, 22207928, 776196453793973340, 945036115450381694, 3408417444], 'label': '8192.wy.4._.MR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030012
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 4864634946, 249695279010334470, 737383283709540630, 507231460158158244, 3314457, 4856295156, 22207928, 776196453793973340, 945036115450381694, 3408417444], 'label': '8192.wy.4._.MS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030013
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 4866134850, 11289680, 1134021, 22207928, 776196453793973340, 945036115450381694, 3408417444], 'label': '8192.wy.4._.MT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030014
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 4866134850, 11289680, 1134021, 776196453793973340, 945036115450381694, 3408417444], 'label': '8192.wy.4._.MU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030015
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 4866134850, 1134021, 4856295156, 22207928, 776196453793973340, 945036115450381694, 3408417444], 'label': '8192.wy.4._.MV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030016
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 4866134850, 1134021, 4856295156, 776196453793973340, 945036115450381694, 3408417444], 'label': '8192.wy.4._.MW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030017
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 737383283709540630, 507231460158158244, 4866134850, 11289680, 1134021, 22207928, 776196453793973340, 945036115450381694, 3408417444], 'label': '8192.wy.4._.MX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030018
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 2079046919417885316, 249695279010334470, 737383283709540630, 507231460158158244, 4866134850, 11289680, 1134021, 776196453793973340, 945036115450381694, 3408417444], 'label': '8192.wy.4._.MY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030019
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 1099504540643719230, 3314457, 22207928, 776196453793973340, 945036115450381694, 4863547740, 3408417444], 'label': '8192.wy.4._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.E', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030020
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 737383283709540630, 507231460158158244, 4866134850, 1134021, 4856295156, 22207928, 776196453793973340, 945036115450381694, 3408417444], 'label': '8192.wy.4._.MZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.MZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.MZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030021
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 2079046919417885316, 249695279010334470, 737383283709540630, 507231460158158244, 4866134850, 1134021, 4856295156, 776196453793973340, 945036115450381694, 3408417444], 'label': '8192.wy.4._.NA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030022
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 1978453934, 737383283709540630, 507231460158158244, 861174516873415764, 1099504540643719230, 1134021, 3314457, 776196453793973340, 22207928, 945036115450381694], 'label': '8192.wy.4._.NB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030023
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 249695279010334470, 1978453934, 737383283709540630, 507231460158158244, 861174516873415764, 1099504540643719230, 1134021, 3314457, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.NC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030024
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 2193602955135226044, 1978453934, 737383283709540630, 507231460158158244, 1134021, 3314457, 22207928, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.ND', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ND', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ND', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030025
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 2079046919417885316, 249695279010334470, 2193602955135226044, 1978453934, 737383283709540630, 507231460158158244, 1134021, 3314457, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.NE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030026
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 4864634946, 249695279010334470, 1978453934, 737383283709540630, 507231460158158244, 1099504540643719230, 3314457, 22207928, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.NF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030027
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 2079046919417885316, 4864634946, 249695279010334470, 1978453934, 737383283709540630, 507231460158158244, 1099504540643719230, 3314457, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.NG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030028
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4864634946, 249695279010334470, 2193602955135226044, 1978453934, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 22207928, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.NH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030029
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 4864634946, 249695279010334470, 2193602955135226044, 1978453934, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 776196453793973340, 945036115450381694], 'label': '8192.wy.4._.NI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030030
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 1099504540643719230, 3314457, 776196453793973340, 945036115450381694, 4863547740, 1099504540650950844, 3408417444], 'label': '8192.wy.4._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030031
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 1099504540643719230, 1134021, 3314457, 776196453793973340, 945036115450381694, 4863547740, 1099504540650950844], 'label': '8192.wy.4._.NJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030032
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 1099504540643719230, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1465504276340465430], 'label': '8192.wy.4._.NK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030033
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 737383283709540630, 507231460158158244, 1134021, 3314457, 776196453793973340, 4863547740, 1465504276366225764, 945036115450381694, 1099504540650950844], 'label': '8192.wy.4._.NL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030034
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 737383283709540630, 507231460158158244, 1134021, 3314457, 776196453793973340, 4863547740, 1465504276366225764, 945036115450381694, 1465504276340465430], 'label': '8192.wy.4._.NM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030035
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1714817781016272030, 3409142490, 249695279010334470, 737383283709540630, 507231460158158244, 1099504540643719230, 3314457, 776196453793973340, 945036115450381694, 4863547740, 1099504540650950844], 'label': '8192.wy.4._.NN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030036
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1714817781016272030, 3409142490, 249695279010334470, 737383283709540630, 507231460158158244, 1099504540643719230, 3314457, 776196453793973340, 945036115450381694, 4863547740, 1465504276340465430], 'label': '8192.wy.4._.NO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030037
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3409142490, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 776196453793973340, 945036115450381694, 1465504276366225764, 4863547740, 1099504540650950844], 'label': '8192.wy.4._.NP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030038
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3409142490, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 776196453793973340, 945036115450381694, 1465504276366225764, 4863547740, 1465504276340465430], 'label': '8192.wy.4._.NQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030039
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 608272580728344362, 1134021, 3314457, 22207928, 776196453793973340, 4863547740, 3408417444], 'label': '8192.wy.4._.NR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030040
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 737383283709540630, 507231460158158244, 11289680, 608272580728344362, 1134021, 3314457, 776196453793973340, 4863547740, 3408417444], 'label': '8192.wy.4._.NS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030041
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 23336182, 507231460158158244, 861174516873415764, 1099504540643719230, 3314457, 776196453793973340, 945036115450381694, 4863547740, 3408417444], 'label': '8192.wy.4._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030042
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 737383283709540630, 507231460158158244, 608272580728344362, 1134021, 3314457, 776196453793973340, 4863547740, 945036115457634278, 3408417444], 'label': '8192.wy.4._.NT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030043
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 608272580728344362, 1134021, 3314457, 22207928, 776196453793973340, 4863547740, 945036115457634278, 3408417444], 'label': '8192.wy.4._.NU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030044
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 3314457, 22207928, 776196453793973340, 4863547740, 1144511469497757252, 945036115450744580, 3408417444], 'label': '8192.wy.4._.NV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030045
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 737383283709540630, 507231460158158244, 11289680, 3314457, 776196453793973340, 4863547740, 1144511469497757252, 945036115450744580, 3408417444], 'label': '8192.wy.4._.NW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030046
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 737383283709540630, 507231460158158244, 3314457, 776196453793973340, 4863547740, 1144511469497757252, 945036115457634278, 945036115450744580, 3408417444], 'label': '8192.wy.4._.NX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030047
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 3314457, 22207928, 776196453793973340, 4863547740, 1144511469497757252, 945036115457634278, 945036115450744580, 3408417444], 'label': '8192.wy.4._.NY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030048
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 11289680, 608272580728344362, 1134021, 3314457, 776196453793973340, 1099504540650950844, 3408417444], 'label': '8192.wy.4._.NZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.NZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.NZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030049
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 11289680, 608272580728344362, 1134021, 3314457, 776196453793973340, 2193602955127994430, 3408417444], 'label': '8192.wy.4._.OA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030050
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 608272580728344362, 1134021, 3314457, 4856295156, 776196453793973340, 2193602955127994430, 3408417444], 'label': '8192.wy.4._.OB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030051
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 608272580728344362, 1134021, 3314457, 4856295156, 776196453793973340, 1099504540650950844, 3408417444], 'label': '8192.wy.4._.OC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030052
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 23336182, 507231460158158244, 11289680, 3314457, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 861174516873778650, 3408417444], 'label': '8192.wy.2._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030053
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 1099504540643719230, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.H', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030054
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [608272582175962406, 4864634946, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 11289680, 3314457, 776196453793973340, 1099504540650950844, 3408417444], 'label': '8192.wy.4._.OD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030055
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [608272582175962406, 4864634946, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 11289680, 3314457, 776196453793973340, 2193602955127994430, 3408417444], 'label': '8192.wy.4._.OE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030056
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [608272582175962406, 4864634946, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 3314457, 4856295156, 776196453793973340, 2193602955127994430, 3408417444], 'label': '8192.wy.4._.OF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030057
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [608272582175962406, 4864634946, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 3314457, 4856295156, 776196453793973340, 1099504540650950844, 3408417444], 'label': '8192.wy.4._.OG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030058
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 945036117373806782, 861174516865795230, 3314457, 1134021, 22207928, 776196453793973340, 1099504540658219364], 'label': '8192.wy.4._.OH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030059
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 945036117373806782, 861174516865795230, 3314457, 1134021, 776196453793973340, 1099504540658219364], 'label': '8192.wy.4._.OI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030060
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 2079046919425137900, 945036117373806782, 1134021, 3314457, 776196453793973340, 1099504540658219364], 'label': '8192.wy.4._.OJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030061
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 2079046919425137900, 945036117373806782, 1134021, 3314457, 22207928, 776196453793973340, 1099504540658219364], 'label': '8192.wy.4._.OK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030062
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4864634946, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 2193602955116734230, 945036117373806782, 861174516865795230, 3314457, 22207928, 776196453793973340], 'label': '8192.wy.4._.OL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030063
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 4864634946, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 2193602955116734230, 945036117373806782, 861174516865795230, 3314457, 776196453793973340], 'label': '8192.wy.4._.OM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030064
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.I', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030065
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4845341724, 4864634946, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 2079046919425137900, 2193602955116734230, 945036117373806782, 3314457, 776196453793973340], 'label': '8192.wy.4._.ON', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.ON', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.ON', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030066
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4864634946, 249695279010334470, 945036118320827940, 737383283709540630, 507231460158158244, 2079046919425137900, 2193602955116734230, 945036117373806782, 3314457, 22207928, 776196453793973340], 'label': '8192.wy.4._.OO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030067
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 737383283709540630, 507231460158158244, 945036117373806782, 861174516865795230, 3314457, 1134021, 776196453793973340, 4863547740, 1099504540658219364], 'label': '8192.wy.4._.OP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030068
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [90305922851951198, 249695279010334470, 737383283709540630, 507231460158158244, 945036117373806782, 861174516865795230, 3314457, 1134021, 776196453793973340, 4863547740, 1099504540658219364], 'label': '8192.wy.4._.OQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030069
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [90305922851951198, 249695279010334470, 737383283709540630, 507231460158158244, 945036117373806782, 90305922855595214, 1134021, 3314457, 776196453793973340, 4863547740, 1099504540658219364], 'label': '8192.wy.4._.OR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030070
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 737383283709540630, 507231460158158244, 945036117373806782, 90305922855595214, 1134021, 3314457, 776196453793973340, 4863547740, 1099504540658219364], 'label': '8192.wy.4._.OS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030071
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 737383283709540630, 507231460158158244, 945036117373806782, 861174516865795230, 3314457, 647232745756754432, 776196453793973340, 4863547740, 945036115450744580], 'label': '8192.wy.4._.OT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030072
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [90305922851951198, 249695279010334470, 737383283709540630, 507231460158158244, 945036117373806782, 861174516865795230, 3314457, 647232745756754432, 776196453793973340, 4863547740, 945036115450744580], 'label': '8192.wy.4._.OU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030073
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [90305922851951198, 249695279010334470, 737383283709540630, 507231460158158244, 945036117373806782, 90305922855595214, 3314457, 647232745756754432, 776196453793973340, 4863547740, 945036115450744580], 'label': '8192.wy.4._.OV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030074
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 737383283709540630, 507231460158158244, 945036117373806782, 90305922855595214, 3314457, 647232745756754432, 776196453793973340, 4863547740, 945036115450744580], 'label': '8192.wy.4._.OW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030075
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540650950844, 3408417444], 'label': '8192.wy.4._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.J', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030076
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 1134021, 3314457, 776196453793973340, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.OX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030077
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 1134021, 3314457, 4856295156, 776196453793973340, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.OY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030078
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 737383283709540630, 507231460158158244, 1134021, 3314457, 4856295156, 776196453793973340, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.OZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.OZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.OZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030079
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 737383283709540630, 507231460158158244, 11289680, 1134021, 3314457, 776196453793973340, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.PA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030080
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4864634946, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 2193602955116734230, 11289680, 3314457, 776196453793973340, 945036115450381694, 3408417444], 'label': '8192.wy.4._.PB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030081
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4864634946, 249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 2193602955116734230, 3314457, 4856295156, 776196453793973340, 945036115450381694, 3408417444], 'label': '8192.wy.4._.PC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030082
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2079046919417885316, 4864634946, 249695279010334470, 737383283709540630, 507231460158158244, 2193602955116734230, 3314457, 4856295156, 776196453793973340, 945036115450381694, 3408417444], 'label': '8192.wy.4._.PD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030083
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 776196453793973340, 22207928, 945036115450381694, 4863547740, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.PE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.PE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.PE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030084
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 507231460158158244, 945036117373806782, 3427710548, 1714817781017002843, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.8._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030085
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 3398266123, 945036117373806782, 3427710548, 1714817781017002843, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.8._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030086
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 23336182, 507231460158158244, 861174516873415764, 3314457, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.K', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030087
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 23336182, 507231460158158244, 3398266123, 945036117373806782, 1714817781017002843, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.8._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030088
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 23336182, 507231460158158244, 3398266123, 945036117373806782, 776196453793973340, 4863547740, 494447461208680350, 861174516873778650], 'label': '8192.wy.8._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030089
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 3398266123, 945036117373806782, 3427710548, 776196453793973340, 4863547740, 494447461208680350, 861174516873778650], 'label': '8192.wy.8._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.E', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030090
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 507231460158158244, 945036117373806782, 3427710548, 776196453793973340, 4863547740, 494447461208680350, 861174516873778650], 'label': '8192.wy.8._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030091
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 23336182, 507231460158158244, 945036117373806782, 776196453793973340, 4863547740, 494447461208680350, 861174516873778650], 'label': '8192.wy.8._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030093
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3409142490, 249695279010334470, 507231460158158244, 945036117373806782, 861174516865795230, 3314457, 776196453793973340, 4863547740, 1714817781031171716, 494447461208680350], 'label': '8192.wy.8._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.I', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030094
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3409142490, 249695279010334470, 507231460158158244, 945036117373806782, 3314457, 776196453793973340, 1714817781023892564, 4863547740, 1714817781031171716, 494447461208680350], 'label': '8192.wy.8._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.J', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030095
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3409142490, 249695279010334470, 861174516887947500, 507231460158158244, 945036117373806782, 3314457, 776196453793973340, 1714817781023892564, 4863547740, 494447461208680350], 'label': '8192.wy.8._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.K', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030096
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 507231460158158244, 945036117373806782, 1134021, 3314457, 776196453793973340, 1714817781023892564, 4863547740, 494447461208680350], 'label': '8192.wy.8._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.L', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030097
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.L', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030098
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 945036117373806782, 1134021, 3314457, 776196453793973340, 1714817781023892564, 4863547740, 1714817781031171716, 494447461208680350], 'label': '8192.wy.8._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030099
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 945036117373806782, 861174516865795230, 3314457, 1134021, 776196453793973340, 4863547740, 1714817781031171716, 494447461208680350], 'label': '8192.wy.8._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.N', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030100
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 507231460158158244, 945036117373806782, 861174516865795230, 3314457, 1134021, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.8._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.O', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030101
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 945036118320827940, 23336182, 507231460158158244, 945036115451471780, 11289680, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.8._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.P', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030102
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 945036115436168658, 249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 11289680, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.8._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.Q', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030103
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 945036115436168658, 249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 945036115457634278, 494447461208680350, 3408417444], 'label': '8192.wy.8._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.R', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030104
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 945036118320827940, 23336182, 507231460158158244, 945036115451471780, 776196453793973340, 945036115457634278, 494447461208680350, 3408417444], 'label': '8192.wy.8._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.S', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030105
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 23336182, 507231460158158244, 945036115451471780, 776196453793973340, 945036115457634278, 494447461208680350, 861174516873778650, 3408417444], 'label': '8192.wy.8._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.T', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030106
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115436168658, 249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 945036115457634278, 494447461208680350, 861174516873778650, 3408417444], 'label': '8192.wy.8._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.U', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030107
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115436168658, 249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 11289680, 776196453793973340, 494447461208680350, 861174516873778650, 3408417444], 'label': '8192.wy.8._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.V', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030108
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1099504540644082830, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 22207928, 776196453793973340, 945036115450381694, 4863547740, 3408417444], 'label': '8192.wy.4._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030109
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 23336182, 507231460158158244, 945036115451471780, 11289680, 776196453793973340, 494447461208680350, 861174516873778650, 3408417444], 'label': '8192.wy.8._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.W', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030110
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 861174516887947500, 507231460158158244, 11289680, 3314457, 776196453793973340, 945036115450744580, 494447461208680350, 3408417444], 'label': '8192.wy.8._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.X', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030111
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 494447461208680350, 11289680, 3314457, 776196453793973340, 90305922851951198, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.Y', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030112
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 494447461208680350, 3314457, 776196453793973340, 90305922851951198, 945036115457634278, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.Z', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030113
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 861174516887947500, 507231460158158244, 3314457, 776196453793973340, 945036115457634278, 945036115450744580, 494447461208680350, 3408417444], 'label': '8192.wy.8._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030114
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 861174516887947500, 507231460158158244, 1134021, 3314457, 776196453793973340, 945036115457634278, 494447461208680350, 3408417444], 'label': '8192.wy.8._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030115
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 776196453793973340, 90305922851951198, 945036115457634278, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030116
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 11289680, 3314457, 776196453793973340, 90305922851951198, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030117
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 861174516887947500, 507231460158158244, 11289680, 1134021, 3314457, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.8._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030118
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 12055774, 3411000111, 23336182, 507231460158158244, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350], 'label': '8192.wy.8._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030119
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1099504540644082830, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 776196453793973340, 945036115450381694, 4863547740, 1099504540650950844, 3408417444], 'label': '8192.wy.4._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.N', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030120
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 12055774, 3411000111, 507231460158158244, 3427710548, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350], 'label': '8192.wy.8._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030121
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 3411000111, 507231460158158244, 3398266123, 3427710548, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350], 'label': '8192.wy.8._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030122
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 3411000111, 23336182, 507231460158158244, 3398266123, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350], 'label': '8192.wy.8._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030123
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 3398266123, 776196453793973340, 861174516873415764, 23336182, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.8._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030124
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 861174516873415764, 3398266123, 3427710548, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350], 'label': '8192.wy.8._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030125
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 507231460158158244, 861174516873415764, 3427710548, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350], 'label': '8192.wy.8._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030126
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 12055774, 776196453793973340, 861174516873415764, 23336182, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.8._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030127
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3409142490, 33084272, 3314457, 4863547740, 776196453793973340, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.8._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030128
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 945036115450381694, 494447461208680350, 3409142490, 3314457, 4863547740, 776196453793973340, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.8._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030129
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 3409142490, 3415701612, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350], 'label': '8192.wy.8._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030130
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1099504540644082830, 737383283709540630, 23336182, 507231460158158244, 861174516873415764, 3314457, 776196453793973340, 945036115450381694, 4863547740, 3408417444], 'label': '8192.wy.4._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.O', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030131
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 33084272, 3409142490, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350], 'label': '8192.wy.8._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030132
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 33084272, 249695279010334470, 507231460158158244, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350], 'label': '8192.wy.8._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030133
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 3415701612, 249695279010334470, 507231460158158244, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350], 'label': '8192.wy.8._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030134
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 249695279010334470, 507231460158158244, 861174516873415764, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350], 'label': '8192.wy.8._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030135
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 507231460158158244, 861174516873415764, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350], 'label': '8192.wy.8._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030136
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 23336182, 507231460158158244, 4866134850, 11289680, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030137
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 507231460158158244, 4846066770, 4866134850, 11289680, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030138
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 507231460158158244, 4846066770, 4866134850, 4856295156, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030139
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 23336182, 507231460158158244, 4866134850, 4856295156, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030140
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4856295156, 776196453793973340, 861174516873415764, 23336182, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030141
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1099504540644082830, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.P', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030142
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516873415764, 4846066770, 4866134850, 4856295156, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030143
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516873415764, 4846066770, 4866134850, 11289680, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030144
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 776196453793973340, 861174516873415764, 23336182, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030145
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 945036115450381694, 494447461208680350, 11289680, 3314457, 776196453793973340, 861174516873415764, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030146
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 249695279010334470, 507231460158158244, 861174516873415764, 3314457, 4856295156, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030147
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 4864634946, 249695279010334470, 507231460158158244, 3314457, 4856295156, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030148
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 4864634946, 249695279010334470, 507231460158158244, 11289680, 3314457, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030149
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 507231460158158244, 11289680, 1134021, 3314457, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030150
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 507231460158158244, 1134021, 3314457, 4856295156, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030151
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516873415764, 1134021, 3314457, 4856295156, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030152
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 608272580728344362, 3314457, 22207928, 776196453793973340, 945036115450381694, 4863547740, 3408417444], 'label': '8192.wy.4._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.Q', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030153
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 945036115450381694, 494447461208680350, 11289680, 3314457, 776196453793973340, 861174516873415764, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030154
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 507231460158158244, 608272580728344362, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030155
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 945036118320827940, 3411000111, 507231460158158244, 945036117373806782, 1714817781017002843, 22207928, 776196453793973340, 494447461208680350], 'label': '8192.wy.8._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030156
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 945036118320827940, 3411000111, 507231460158158244, 3426623342, 945036117373806782, 1714817781017002843, 776196453793973340, 494447461208680350], 'label': '8192.wy.8._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030157
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 3398266123, 3426623342, 945036117373806782, 1714817781017002843, 776196453793973340, 494447461208680350], 'label': '8192.wy.8._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030158
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 3398266123, 945036117373806782, 1714817781017002843, 22207928, 776196453793973340, 494447461208680350], 'label': '8192.wy.8._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030159
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 3398266123, 945036117373806782, 22207928, 776196453793973340, 494447461208680350, 861174516873778650], 'label': '8192.wy.8._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030160
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 3398266123, 3426623342, 945036117373806782, 776196453793973340, 494447461208680350, 861174516873778650], 'label': '8192.wy.8._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030161
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 945036118320827940, 3411000111, 507231460158158244, 3426623342, 945036117373806782, 776196453793973340, 494447461208680350, 861174516873778650], 'label': '8192.wy.8._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030162
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 945036118320827940, 3411000111, 507231460158158244, 945036117373806782, 22207928, 776196453793973340, 494447461208680350, 861174516873778650], 'label': '8192.wy.8._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030163
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 3314457, 22207928, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 861174516873778650, 3408417444], 'label': '8192.wy.2._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030164
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 608272580728344362, 3314457, 776196453793973340, 945036115450381694, 4863547740, 1099504540650950844, 3408417444], 'label': '8192.wy.4._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.R', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030165
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 3409142490, 3314457, 945036117373806782, 776196453793973340, 22207928, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.8._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030166
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 3409142490, 3314457, 945036117373806782, 776196453793973340, 3426623342, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.8._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030167
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3409142490, 249695279010334470, 945036118320827940, 507231460158158244, 3426623342, 945036117373806782, 3314457, 776196453793973340, 1714817781023892564, 494447461208680350], 'label': '8192.wy.8._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030168
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3409142490, 249695279010334470, 945036118320827940, 507231460158158244, 945036117373806782, 3314457, 776196453793973340, 22207928, 1714817781023892564, 494447461208680350], 'label': '8192.wy.8._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030169
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 1714817781023892564, 3314457, 945036117373806782, 776196453793973340, 22207928, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.8._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030170
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 1714817781023892564, 3314457, 945036117373806782, 776196453793973340, 3426623342, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.8._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030171
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 3426623342, 945036117373806782, 861174516865795230, 3314457, 1134021, 776196453793973340, 494447461208680350], 'label': '8192.wy.8._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030172
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 945036117373806782, 861174516865795230, 3314457, 1134021, 776196453793973340, 22207928, 494447461208680350], 'label': '8192.wy.8._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030173
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 12055774, 3411000111, 1978453934, 507231460158158244, 22207928, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.8._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030174
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 12055774, 3411000111, 1978453934, 507231460158158244, 3426623342, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.8._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030175
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 23336182, 507231460158158244, 11289680, 608272580728344362, 3314457, 776196453793973340, 945036115450381694, 4863547740, 3408417444], 'label': '8192.wy.4._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.S', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030176
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 3411000111, 1978453934, 507231460158158244, 3398266123, 3426623342, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.8._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030177
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 3411000111, 1978453934, 507231460158158244, 3398266123, 22207928, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.8._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030178
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 1978453934, 507231460158158244, 861174516873415764, 3398266123, 776196453793973340, 22207928, 945036115450381694, 494447461208680350], 'label': '8192.wy.8._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030179
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 1978453934, 507231460158158244, 861174516873415764, 3398266123, 3426623342, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.8._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030180
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 1978453934, 507231460158158244, 861174516873415764, 3426623342, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.8._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030181
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 1978453934, 507231460158158244, 861174516873415764, 776196453793973340, 22207928, 945036115450381694, 494447461208680350], 'label': '8192.wy.8._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030182
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3409142490, 3314457, 776196453793973340, 861174516873415764, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.8._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030183
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3409142490, 3314457, 776196453793973340, 861174516873415764, 3426623342, 507231460158158244, 249695279010334470], 'label': '8192.wy.8._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030184
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 1978453934, 494447461208680350, 3409142490, 3314457, 776196453793973340, 3426623342, 507231460158158244, 249695279010334470], 'label': '8192.wy.8._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030185
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 1978453934, 494447461208680350, 3409142490, 3314457, 776196453793973340, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.8._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030186
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 608272580728344362, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.T', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030187
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 1978453934, 507231460158158244, 1134021, 3314457, 22207928, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.8._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030188
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 1978453934, 507231460158158244, 3426623342, 1134021, 3314457, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.8._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030189
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 945036115450381694, 1978453934, 494447461208680350, 3314457, 776196453793973340, 861174516873415764, 3426623342, 507231460158158244, 249695279010334470], 'label': '8192.wy.8._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030190
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 945036115450381694, 1978453934, 494447461208680350, 3314457, 776196453793973340, 861174516873415764, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.8._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030191
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 507231460158158244, 945036115451471780, 11289680, 776196453793973340, 22207928, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030192
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115435805772, 90305922863572844, 249695279010334470, 507231460158158244, 945036115451471780, 11289680, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030193
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115435805772, 90305922863572844, 249695279010334470, 507231460158158244, 945036115451471780, 776196453793973340, 4863547740, 945036115457634278, 494447461208680350, 3408417444], 'label': '8192.wy.8._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030194
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 507231460158158244, 945036115451471780, 776196453793973340, 22207928, 4863547740, 945036115457634278, 494447461208680350, 3408417444], 'label': '8192.wy.8._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030195
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 945036115451471780, 776196453793973340, 22207928, 4863547740, 945036115457634278, 494447461208680350, 861174516873778650, 3408417444], 'label': '8192.wy.8._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030196
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115435805772, 4863547740, 776196453793973340, 861174516873778650, 945036115457634278, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030197
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 1099504540643719230, 608272580728344362, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.U', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030198
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 507231460158158244, 945036115451471780, 11289680, 776196453793973340, 4863547740, 494447461208680350, 861174516873778650, 3408417444], 'label': '8192.wy.8._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030199
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 945036115451471780, 11289680, 776196453793973340, 22207928, 4863547740, 494447461208680350, 861174516873778650, 3408417444], 'label': '8192.wy.8._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030200
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 494447461208680350, 11289680, 3314457, 4863547740, 776196453793973340, 22207928, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030201
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 507231460158158244, 11289680, 3314457, 776196453793973340, 4863547740, 945036115450744580, 494447461208680350, 3408417444], 'label': '8192.wy.8._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030202
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 494447461208680350, 945036115435805772, 3314457, 4863547740, 776196453793973340, 945036115457634278, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030203
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 494447461208680350, 3314457, 4863547740, 776196453793973340, 22207928, 945036115457634278, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ED', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030204
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 4863547740, 776196453793973340, 22207928, 945036115457634278, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030205
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 945036115435805772, 3314457, 4863547740, 776196453793973340, 945036115457634278, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030206
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 507231460158158244, 11289680, 1134021, 3314457, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030207
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 11289680, 3314457, 4863547740, 776196453793973340, 22207928, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030208
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 1099504540643719230, 608272580728344362, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540650950844, 3408417444], 'label': '8192.wy.4._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.V', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030209
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516875232349, 249695279010334470, 507231460158158244, 25158737, 14236187, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030210
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516875232349, 249695279010334470, 507231460158158244, 22207928, 14236187, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030211
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 4863547740, 861174516875232349, 776196453793973340, 25158737, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030212
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 4863547740, 861174516875232349, 776196453793973340, 22207928, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030213
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 861174516873415764, 25158737, 507231460158158244, 14236187, 3408417444, 249695279010334470], 'label': '8192.wy.8._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030214
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 861174516873415764, 22207928, 507231460158158244, 14236187, 3408417444, 249695279010334470], 'label': '8192.wy.8._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030215
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 4863547740, 776196453793973340, 861174516873415764, 25158737, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030216
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 4863547740, 776196453793973340, 861174516873415764, 22207928, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030217
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516881419962, 249695279010334470, 507231460158158244, 3314457, 1099504540658950884, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030218
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ER', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030219
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 23336182, 507231460158158244, 1099504540643719230, 608272580728344362, 3314457, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.W', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030220
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [608272580746468256, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ES', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030221
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 507231460158158244, 3314457, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ET', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030222
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1099504540644082830, 507231460158158244, 3314457, 861174516888672546, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030223
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1099504540633186255, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 861174516873778650, 3408417444], 'label': '8192.wy.8._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030224
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [608272580746468256, 249695279010334470, 507231460158158244, 3314457, 861174516888672546, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030225
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1099504540644082830, 3314457, 4863547740, 776196453793973340, 861174516873778650, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030226
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 3314457, 34212526, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 608272580728707962, 3408417444], 'label': '8192.wy.8._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030227
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 507231460158158244, 3314457, 608272580717806345, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030228
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [608272580746468256, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 608272580717806345, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030229
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 608272580728707962, 3408417444], 'label': '8192.wy.8._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030230
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 1099504540643719230, 608272580728344362, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.X', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030231
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 608272580747199776, 23336182, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030232
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1134021, 3314457, 608272580735570960, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030233
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [608272580746468256, 249695279010334470, 23336182, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030234
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [608272580746468256, 249695279010334470, 507231460158158244, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030235
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1099504540644082830, 608272580717079120, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030236
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1099504540633186255, 249695279010334470, 507231460158158244, 608272580728344362, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030237
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 608272580717079120, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030238
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1099504540644082830, 507231460158158244, 608272580728344362, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030239
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 3314457, 861174516888672546, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030240
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 608272580728344362, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030241
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 507231460158158244, 608272580728344362, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.Y', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030242
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 494447461208680350, 861174516873778650, 3408417444], 'label': '8192.wy.8._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030243
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1099504540658950884, 3314457, 4863547740, 776196453793973340, 861174516873778650, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030244
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 608272580717079120, 507231460158158244, 608272580747199776, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030245
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 608272580728344362, 3314457, 776196453793973340, 34212526, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030246
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 608272580717079120, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030247
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 507231460158158244, 608272580728344362, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030248
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 608272580728707962, 23336182, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030249
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 23336182, 507231460158158244, 608272580728344362, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030250
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 608272580717079120, 507231460158158244, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030251
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 608272580728344362, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030252
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 507231460158158244, 608272580728344362, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540650950844, 3408417444], 'label': '8192.wy.4._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.Z', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030253
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 608272580728707962, 1099504540632459030, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030254
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 507231460158158244, 3314457, 608272580717806345, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030255
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1099504540643719230, 3314457, 776196453793973340, 608272580717806345, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030256
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1099504540643719230, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 608272580728707962, 3408417444], 'label': '8192.wy.8._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030257
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 608272580747199776, 3314457, 861174516888672546, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030258
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 861174516873778650, 1099504540632459030, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030259
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1099504540643719230, 3314457, 861174516888672546, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030260
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1099504540643719230, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 861174516873778650, 3408417444], 'label': '8192.wy.8._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030261
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1099504540658950884, 3314457, 4863547740, 776196453793973340, 34212526, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030262
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 507231460158158244, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030263
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 23336182, 507231460158158244, 608272580728344362, 3314457, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030264
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1099504540643719230, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030265
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 507231460158158244, 3314457, 1099504540658950884, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030266
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1099504540644082830, 3314457, 4863547740, 776196453793973340, 23336182, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030267
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1099504540632459030, 249695279010334470, 507231460158158244, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030268
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 23336182, 507231460158158244, 1099504540643719230, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030269
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1099504540643719230, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030270
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 608272580747199776, 1099504540650950844, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030271
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516881419962, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 4863547740, 1099504540658219364, 494447461208680350, 3408417444], 'label': '8192.wy.8._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030272
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 1099504540650950844, 3408417444], 'label': '8192.wy.8._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030273
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 494447461208680350, 3408417444], 'label': '8192.wy.8._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030274
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 23336182, 507231460158158244, 861174516873415764, 3314457, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.2._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.E', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030275
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 507231460158158244, 608272580728344362, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030276
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 608272580728707962, 1099504540650950844, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030277
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 861174516873778650, 1099504540650950844, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030278
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 3314457, 861174516888672546, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 494447461208680350, 3408417444], 'label': '8192.wy.8._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030279
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 4863547740, 1099504540658219364, 494447461208680350, 861174516873778650, 3408417444], 'label': '8192.wy.8._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030280
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1099504540644082830, 3314457, 4863547740, 776196453793973340, 1099504540650950844, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030281
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 3314457, 776196453793973340, 34212526, 945036115450381694, 4863547740, 1099504540658219364, 494447461208680350, 3408417444], 'label': '8192.wy.8._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030282
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 1099504540650950844, 3408417444], 'label': '8192.wy.8._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030283
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 4863547740, 1099504540658219364, 494447461208680350, 3408417444], 'label': '8192.wy.8._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030284
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1099504540658950884, 3314457, 4863547740, 776196453793973340, 23336182, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030285
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 1099504540650950844, 3408417444], 'label': '8192.wy.8._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030286
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1099504540644082830, 737383283709540630, 507231460158158244, 608272580728344362, 3314457, 22207928, 776196453793973340, 945036115450381694, 4863547740, 3408417444], 'label': '8192.wy.4._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030287
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 23336182, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 4863547740, 1099504540658219364, 494447461208680350, 3408417444], 'label': '8192.wy.8._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030288
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 494447461208680350, 3408417444], 'label': '8192.wy.8._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030289
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1099504540633186255, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 608272580728707962, 3408417444], 'label': '8192.wy.8._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030290
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1099504540644082830, 3314457, 4863547740, 776196453793973340, 608272580717806345, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030291
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516865795230, 3314457, 608272580717806345, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030292
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1099504540644082830, 3314457, 4863547740, 776196453793973340, 608272580728707962, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030293
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 608272580747199776, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030294
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516880694916, 3314457, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030295
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516865795230, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030296
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516865795230, 3314457, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030297
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1099504540644082830, 737383283709540630, 507231460158158244, 608272580728344362, 3314457, 776196453793973340, 945036115450381694, 4863547740, 1099504540650950844, 3408417444], 'label': '8192.wy.4._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030298
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 34212526, 861174516873778650, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030299
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 608272580717079120, 507231460158158244, 11289680, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030300
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 507231460158158244, 11289680, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030301
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1099504540632459030, 249695279010334470, 507231460158158244, 608272580728344362, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030302
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 608272580717079120, 507231460158158244, 1099504540643719230, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030303
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 861174516873778650, 3408417444], 'label': '8192.wy.8._.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030304
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 608272580717079120, 507231460158158244, 861174516865795230, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030305
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1099504540643719230, 608272580728344362, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030306
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [608272580746468256, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 1099504540650950844, 3408417444], 'label': '8192.wy.8._.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030307
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516880694916, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 494447461208680350, 3408417444], 'label': '8192.wy.8._.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030308
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1099504540644082830, 737383283709540630, 23336182, 507231460158158244, 608272580728344362, 3314457, 776196453793973340, 945036115450381694, 4863547740, 3408417444], 'label': '8192.wy.4._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030309
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516865795230, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 1099504540650950844, 3408417444], 'label': '8192.wy.8._.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030310
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516865795230, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 494447461208680350, 3408417444], 'label': '8192.wy.8._.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030311
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 507231460158158244, 608272580747199776, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030312
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1099504540633186255, 249695279010334470, 507231460158158244, 861174516873415764, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030313
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 1099504540644082830, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030314
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1099504540644082830, 3314457, 4863547740, 776196453793973340, 861174516873415764, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.HZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.HZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030315
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 494447461208680350, 608272580728707962, 3408417444], 'label': '8192.wy.8._.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030316
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 23336182, 507231460158158244, 861174516865795230, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030317
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516873415764, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030318
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 3314457, 4863547740, 776196453793973340, 861174516873778650, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ID', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030319
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1099504540644082830, 737383283709540630, 507231460158158244, 608272580728344362, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.4._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030320
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 507231460158158244, 3314457, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030321
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1099504540658950884, 3314457, 4863547740, 776196453793973340, 861174516873415764, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030322
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 861174516887947500, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030323
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 11289680, 608272580728344362, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030324
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 3314457, 776196453793973340, 22207928, 945036115450381694, 4863547740, 1099504540658219364, 494447461208680350, 3408417444], 'label': '8192.wy.8._.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.II', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.II', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030325
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516865795230, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030326
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 3314457, 4863547740, 776196453793973340, 23336182, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030327
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1099504540643719230, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 1099504540650950844, 3408417444], 'label': '8192.wy.8._.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030328
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 861174516873778650, 3408417444], 'label': '8192.wy.8._.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030329
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 507231460158158244, 3314457, 861174516888672546, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030330
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 861174516873778650, 3408417444], 'label': '8192.wy.4._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030331
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 494447461208680350, 3408417444], 'label': '8192.wy.8._.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030332
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 861174516887947500, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030333
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516873415764, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030334
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 507231460158158244, 3314457, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030335
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 507231460158158244, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030336
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 23336182, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030337
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 11289680, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030338
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 3314457, 4863547740, 776196453793973340, 861174516873415764, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030339
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 11289680, 3314457, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030340
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 861174516873415764, 23336182, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030341
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 3314457, 776196453793973340, 945036115450381694, 4863547740, 861174516873778650, 1099504540650950844, 3408417444], 'label': '8192.wy.4._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030342
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [608272580746468256, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 22207928, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030343
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 608272580728344362, 3314457, 776196453793973340, 22207928, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.IZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.IZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030344
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1099504540643719230, 3314457, 776196453793973340, 22207928, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030345
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 11289680, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030346
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 861174516873415764, 22207928, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030347
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 507231460158158244, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030348
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 11289680, 3314457, 861174516888672546, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030349
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 507231460158158244, 3314457, 861174516888672546, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030350
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 861174516873778650, 3408417444], 'label': '8192.wy.8._.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030351
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 507231460158158244, 861174516873415764, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030352
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 23336182, 507231460158158244, 11289680, 3314457, 776196453793973340, 945036115450381694, 4863547740, 861174516873778650, 3408417444], 'label': '8192.wy.4._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030353
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [608272580746468256, 249695279010334470, 861174516887947500, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030354
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516865795230, 3314457, 1134021, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030355
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 861174516873415764, 1099504540632459030, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030356
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 507231460158158244, 1099504540643719230, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030357
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 3314457, 4863547740, 776196453793973340, 22207928, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030358
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 861174516873778650, 23336182, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030359
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 608272580747199776, 22207928, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030360
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 608272580728707962, 22207928, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030361
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516865795230, 3314457, 861174516888672546, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030362
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516873415764, 3314457, 34212526, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030363
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 861174516873778650, 3408417444], 'label': '8192.wy.4._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030364
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516873415764, 1099504540643719230, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030365
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 608272580728344362, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 1099504540650950844, 3408417444], 'label': '8192.wy.8._.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030366
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 861174516873415764, 1099504540650950844, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030367
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 3314457, 4863547740, 776196453793973340, 1099504540650950844, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030368
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 11289680, 3314457, 776196453793973340, 945036115450381694, 4863547740, 1099504540658219364, 494447461208680350, 3408417444], 'label': '8192.wy.8._.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030369
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 23336182, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030370
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 507231460158158244, 861174516865795230, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030371
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516880694916, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.JZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.JZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030372
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 494447461208680350, 3408417444], 'label': '8192.wy.8._.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030373
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516873415764, 3314457, 776196453793973340, 945036115450381694, 4863547740, 1099504540658219364, 494447461208680350, 3408417444], 'label': '8192.wy.8._.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030374
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 1099504540643719230, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 861174516873778650, 3408417444], 'label': '8192.wy.4._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030375
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 608272580747199776, 3314457, 608272580717806345, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030376
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 608272580728707962, 3408417444], 'label': '8192.wy.8._.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030377
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 507231460158158244, 3314457, 22207928, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030378
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 507231460158158244, 861174516873415764, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.8._.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030379
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1099504540644082830, 3314457, 4863547740, 776196453793973340, 22207928, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030380
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1099504540658950884, 3314457, 4863547740, 776196453793973340, 22207928, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.KH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030381
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1134021, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.KI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030382
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 507231460158158244, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.KJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030383
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 3314457, 4863547740, 776196453793973340, 608272580717806345, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.KK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030384
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 3314457, 4863547740, 776196453793973340, 608272580728707962, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.8._.KL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030385
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 507231460158158244, 861174516873415764, 3314457, 22207928, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.2._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030386
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 1099504540643719230, 3314457, 776196453793973340, 945036115450381694, 4863547740, 861174516873778650, 1099504540650950844, 3408417444], 'label': '8192.wy.4._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030387
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1099504540644082830, 507231460158158244, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.KM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030388
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [608272580746468256, 249695279010334470, 608272580717079120, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.8._.KN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030389
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 23336182, 507231460158158244, 945036117373806782, 1714817781017002843, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.8._.KO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.KO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.KO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030390
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 945036117373806782, 1714817781017002843, 776196453793973340, 34212526, 494447461208680350], 'label': '8192.wy.16._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.A', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030391
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3416788818, 945036118320827940, 3411000111, 507231460158158244, 945036117373806782, 1714817781017002843, 776196453793973340, 494447461208680350], 'label': '8192.wy.16._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.B', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030392
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3416788818, 945036118320827940, 3411000111, 507231460158158244, 945036117373806782, 776196453793973340, 494447461208680350, 861174516873778650], 'label': '8192.wy.16._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.C', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030393
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036117373806782, 776196453793973340, 34212526, 861174516873778650, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.D', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030394
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 34212526, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.16._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.E', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030395
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 945036115443466628, 494447461208680350, 3408417444], 'label': '8192.wy.16._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.F', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030396
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 945036115443466628, 494447461208680350, 861174516873778650, 3408417444], 'label': '8192.wy.16._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030397
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 23336182, 507231460158158244, 1099504540643719230, 3314457, 776196453793973340, 945036115450381694, 4863547740, 861174516873778650, 3408417444], 'label': '8192.wy.4._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030398
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 34212526, 494447461208680350, 861174516873778650, 3408417444], 'label': '8192.wy.16._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.H', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030399
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 1714817781017002843, 776196453793973340, 34212526, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.I', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030400
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3416788818, 507231460158158244, 3314457, 1714817781017002843, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350], 'label': '8192.wy.16._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.J', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030401
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3416788818, 3314457, 4863547740, 776196453793973340, 861174516873778650, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.K', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030402
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 34212526, 861174516873778650, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.L', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030403
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 33084272, 249695279010334470, 507231460158158244, 945036115451471780, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.M', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030404
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 507231460158158244, 945036115451471780, 945036115443103742, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.N', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030405
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115443103742, 494447461208680350, 4863547740, 776196453793973340, 861174516873778650, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.O', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030406
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 507231460158158244, 945036115451471780, 776196453793973340, 4863547740, 494447461208680350, 861174516873778650, 3408417444], 'label': '8192.wy.16._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.P', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030407
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 3415701612, 249695279010334470, 3411000111, 507231460158158244, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350], 'label': '8192.wy.16._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.Q', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030408
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 1099504540643719230, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 861174516873778650, 3408417444], 'label': '8192.wy.4._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030409
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 33084272, 249695279010334470, 3411000111, 507231460158158244, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350], 'label': '8192.wy.16._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.R', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030410
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 861174516873415764, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.S', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030411
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 33084272, 4863547740, 776196453793973340, 861174516873415764, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.T', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030412
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 3415701612, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.U', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030413
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 33084272, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.V', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030414
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.W', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255030415
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 33084272, 3314457, 4863547740, 776196453793973340, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.X', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030416
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 861174516875232349, 776196453793973340, 36035104, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.Y', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255030417
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 4863547740, 776196453793973340, 22207928, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.Z', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030418
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030419
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 507231460158158244, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 861174516873778650, 3408417444], 'label': '8192.wy.4._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030420
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 34212526, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030421
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 3398266123, 945036117373806782, 861174516888672546, 776196453793973340, 494447461208680350], 'label': '8192.wy.16._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030422
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 1714817781031896762, 3398266123, 945036117373806782, 776196453793973340, 494447461208680350], 'label': '8192.wy.16._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030423
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 945036118320827940, 3411000111, 507231460158158244, 1714817781031896762, 945036117373806782, 776196453793973340, 494447461208680350], 'label': '8192.wy.16._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030424
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 945036118320827940, 3411000111, 507231460158158244, 945036117373806782, 861174516888672546, 776196453793973340, 494447461208680350], 'label': '8192.wy.16._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030425
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 3314457, 776196453793973340, 945036115457997164, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BG', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255030426
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 90305922852676244, 945036115457997164, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030427
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 945036118320827940, 507231460158158244, 3314457, 90305922852676244, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.16._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030428
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 945036118320827940, 507231460158158244, 3314457, 861174516888672546, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.16._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030429
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 3398266123, 861174516888672546, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350], 'label': '8192.wy.16._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BK', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255030430
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 861174516873778650, 1099504540650950844, 3408417444], 'label': '8192.wy.4._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030431
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 1714817781031896762, 3398266123, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350], 'label': '8192.wy.16._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030432
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 507231460158158244, 1714817781031896762, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350], 'label': '8192.wy.16._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030433
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 507231460158158244, 861174516888672546, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350], 'label': '8192.wy.16._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030434
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 608272580735570960, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030435
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516875232349, 33084272, 249695279010334470, 507231460158158244, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030436
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 3411000111, 1978453934, 507231460158158244, 3426623342, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030437
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 3314457, 776196453793973340, 945036115457634278, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030438
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 90305922852676244, 945036115457634278, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030439
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 3314457, 776196453793973340, 90305922852676244, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030440
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 11289680, 3314457, 776196453793973340, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030441
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 23336182, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 861174516873778650, 3408417444], 'label': '8192.wy.4._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030442
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 4866134850, 861174516888672546, 776196453793973340, 4856295156, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030443
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 2079046919403716443, 507231460158158244, 4866134850, 4856295156, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030444
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 2079046919403716443, 507231460158158244, 4866134850, 11289680, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030445
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 4866134850, 11289680, 861174516888672546, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030446
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 4863547740, 776196453793973340, 945036115457634278, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030447
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 90305922852676244, 945036115457634278, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030448
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 4863547740, 776196453793973340, 90305922852676244, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030449
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 1714817781023892564, 945036117373806782, 776196453793973340, 3411000111, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030450
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 1714817781031896762, 945036117373806782, 776196453793973340, 1714817781023892564, 494447461208680350], 'label': '8192.wy.16._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030451
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 1714817781031896762, 945036117373806782, 861174516865795230, 776196453793973340, 494447461208680350], 'label': '8192.wy.16._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030452
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 507231460158158244, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 861174516873778650, 3408417444], 'label': '8192.wy.4._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030453
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 945036117373806782, 861174516865795230, 861174516888672546, 776196453793973340, 494447461208680350], 'label': '8192.wy.16._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030454
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 2079046919425137900, 4866134850, 861174516888672546, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030455
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 2079046919403716443, 507231460158158244, 2079046919425137900, 4866134850, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030456
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 2079046919403716443, 507231460158158244, 4866134850, 861174516865795230, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030457
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 4866134850, 861174516865795230, 861174516888672546, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030458
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 1714817781023892564, 3314457, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030459
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1714817781031896762, 945036117373806782, 3314457, 776196453793973340, 1714817781023892564, 4863547740, 494447461208680350], 'label': '8192.wy.16._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030460
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1714817781031896762, 945036117373806782, 861174516865795230, 3314457, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030461
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 945036117373806782, 861174516865795230, 3314457, 861174516888672546, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030462
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516888672546, 494447461208680350, 11289680, 4863547740, 776196453793973340, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030463
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1099504540644082830, 737383283709540630, 507231460158158244, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 861174516873778650, 3408417444], 'label': '8192.wy.4._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030464
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 3411000111, 1978453934, 507231460158158244, 776196453793973340, 22207928, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030465
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 861174516873415764, 3426623342, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030466
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 861174516873415764, 36035104, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030467
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 861174516873415764, 22207928, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030468
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3409142490, 3314457, 945036117373806782, 776196453793973340, 22207928, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030469
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3409142490, 3314457, 945036117373806782, 776196453793973340, 3426623342, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030470
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 33084272, 4863547740, 776196453793973340, 861174516873415764, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030471
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 945036117373806782, 776196453793973340, 3426623342, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030472
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 945036117373806782, 776196453793973340, 22207928, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030473
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3409142490, 3314457, 776196453793973340, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030474
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1099504540644082830, 737383283709540630, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 4863547740, 861174516873778650, 1099504540650950844, 3408417444], 'label': '8192.wy.4._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030475
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3409142490, 3314457, 776196453793973340, 3426623342, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030476
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922851951198, 249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 945036115457634278, 494447461208680350, 3408417444], 'label': '8192.wy.16._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030477
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 861174516887947500, 507231460158158244, 945036115451471780, 776196453793973340, 945036115457634278, 494447461208680350, 3408417444], 'label': '8192.wy.16._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030478
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 945036118320827940, 3411000111, 507231460158158244, 945036117373806782, 1714817781017002843, 776196453793973340, 494447461208680350], 'label': '8192.wy.16._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030479
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 3398266123, 945036117373806782, 1714817781017002843, 776196453793973340, 494447461208680350], 'label': '8192.wy.16._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030480
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 945036118320827940, 507231460158158244, 3398266123, 945036117373806782, 776196453793973340, 494447461208680350, 861174516873778650], 'label': '8192.wy.16._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030481
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 945036118320827940, 3411000111, 507231460158158244, 945036117373806782, 776196453793973340, 494447461208680350, 861174516873778650], 'label': '8192.wy.16._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030482
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 12055774, 776196453793973340, 2079046919418610362, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030483
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 945036115450381694, 494447461208680350, 3314457, 776196453793973340, 2079046919418610362, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030484
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4857382362, 945036115450381694, 494447461208680350, 3314457, 776196453793973340, 861174516873778650, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030485
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1099504540644082830, 737383283709540630, 23336182, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 4863547740, 861174516873778650, 3408417444], 'label': '8192.wy.4._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030486
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 12055774, 776196453793973340, 861174516873778650, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030487
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 507231460158158244, 945036117373806782, 1714817781017002843, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030488
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 3398266123, 945036117373806782, 1714817781017002843, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030489
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 3398266123, 945036117373806782, 776196453793973340, 4863547740, 494447461208680350, 861174516873778650], 'label': '8192.wy.16._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030490
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 507231460158158244, 945036117373806782, 776196453793973340, 4863547740, 494447461208680350, 861174516873778650], 'label': '8192.wy.16._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030491
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922851951198, 249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 11289680, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.16._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030492
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 11289680, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.16._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030493
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 945036115457634278, 494447461208680350, 3408417444], 'label': '8192.wy.16._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030494
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 945036115457634278, 494447461208680350, 861174516873778650, 3408417444], 'label': '8192.wy.16._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030495
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 11289680, 776196453793973340, 494447461208680350, 861174516873778650, 3408417444], 'label': '8192.wy.16._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030496
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 23336182, 507231460158158244, 861174516873415764, 11289680, 3314457, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.2._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.G', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030497
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1099504540644082830, 737383283709540630, 507231460158158244, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 861174516873778650, 3408417444], 'label': '8192.wy.4._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030498
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 3314457, 776196453793973340, 2079046919418610362, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030499
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4856295156, 3314457, 776196453793973340, 2079046919418610362, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030500
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4856295156, 3314457, 776196453793973340, 861174516873778650, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030501
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 3314457, 776196453793973340, 861174516873778650, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030502
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 507231460158158244, 945036115451471780, 11289680, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030503
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922863572844, 249695279010334470, 507231460158158244, 945036115451471780, 776196453793973340, 4863547740, 945036115457634278, 494447461208680350, 3408417444], 'label': '8192.wy.16._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030504
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 861174516873778650, 945036115457634278, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030505
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 4863547740, 776196453793973340, 861174516873778650, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030506
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 861174516887947500, 507231460158158244, 945036115451471780, 11289680, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.16._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030507
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 90305922851951198, 945036115457634278, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030508
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 3314457, 22207928, 776196453793973340, 945036115450381694, 4863547740, 608272580728707962, 3408417444], 'label': '8192.wy.4._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030509
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 945036117373806782, 776196453793973340, 1714817781024255450, 23336182, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ED', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030510
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 494447461208680350, 3314457, 945036117373806782, 776196453793973340, 1714817781024255450, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030511
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 945036118320827940, 507231460158158244, 945036117373806782, 3427710548, 3314457, 776196453793973340, 494447461208680350], 'label': '8192.wy.16._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030512
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 945036118320827940, 23336182, 507231460158158244, 945036117373806782, 3314457, 776196453793973340, 494447461208680350], 'label': '8192.wy.16._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030513
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 90305922856320260, 945036118320827940, 23336182, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.16._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030514
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115436168658, 249695279010334470, 90305922856320260, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.16._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030515
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 945036115436168658, 249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.16._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030516
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 945036118320827940, 23336182, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.16._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030517
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 1714817781024255450, 23336182, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030518
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 1714817781024255450, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030519
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 3314457, 776196453793973340, 945036115450381694, 4863547740, 1099504540650950844, 608272580728707962, 3408417444], 'label': '8192.wy.4._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030520
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 3411000111, 507231460158158244, 3427710548, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350], 'label': '8192.wy.16._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030521
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 861174516866526043, 494447461208680350, 4863547740, 776196453793973340, 23336182, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030522
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 861174516887947500, 507231460158158244, 3314457, 776196453793973340, 945036115457634278, 494447461208680350, 3408417444], 'label': '8192.wy.16._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030523
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 3314457, 776196453793973340, 90305922851951198, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030524
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 861174516887947500, 507231460158158244, 11289680, 3314457, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.16._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ER', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030525
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 861174516889768410, 507231460158158244, 14236187, 3408417444, 249695279010334470], 'label': '8192.wy.16._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ES', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030526
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 945036115450381694, 1978453934, 494447461208680350, 3314457, 776196453793973340, 3426623342, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ET', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030527
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 945036115450381694, 1978453934, 494447461208680350, 3314457, 776196453793973340, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030528
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 494447461208680350, 3314457, 4863547740, 776196453793973340, 22207928, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030529
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450744580, 494447461208680350, 945036115435805772, 3314457, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030530
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 23336182, 507231460158158244, 11289680, 3314457, 776196453793973340, 945036115450381694, 4863547740, 608272580728707962, 3408417444], 'label': '8192.wy.4._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030531
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 507231460158158244, 14236187, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030532
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 945036115435805772, 3314457, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030533
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 4863547740, 776196453793973340, 22207928, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030534
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 1978453934, 494447461208680350, 3314457, 776196453793973340, 3426623342, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030535
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 1978453934, 494447461208680350, 3314457, 776196453793973340, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030536
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 4863547740, 776196453793973340, 861174516889768410, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030537
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 23336182, 507231460158158244, 3398266123, 945036117373806782, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030538
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3409142490, 249695279010334470, 945036118320827940, 507231460158158244, 945036117373806782, 861174516880694916, 3314457, 776196453793973340, 494447461208680350], 'label': '8192.wy.16._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030539
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3409142490, 3314457, 945036117373806782, 776196453793973340, 1714817781038424300, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030540
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 3314457, 945036117373806782, 776196453793973340, 1714817781038424300, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030541
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 608272580728707962, 3408417444], 'label': '8192.wy.4._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030542
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 945036117373806782, 861174516880694916, 1134021, 3314457, 776196453793973340, 494447461208680350], 'label': '8192.wy.16._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030543
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 861174516880694916, 3314457, 776196453793973340, 945036115450744580, 494447461208680350, 3408417444], 'label': '8192.wy.16._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030544
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922848322374, 249695279010334470, 945036118320827940, 507231460158158244, 3314457, 776196453793973340, 945036115450744580, 494447461208680350, 3408417444], 'label': '8192.wy.16._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030545
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922848322374, 249695279010334470, 945036118320827940, 507231460158158244, 1134021, 3314457, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.16._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030546
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 861174516880694916, 1134021, 3314457, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.16._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030547
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3409142490, 861174516880694916, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030548
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3409142490, 3314457, 4863547740, 776196453793973340, 1714817781038424300, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030549
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 1714817781038424300, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030550
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516880694916, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030551
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 3398266123, 945036117373806782, 3427710548, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030584
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 608272580717806345, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030552
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 1099504540643719230, 3314457, 22207928, 776196453793973340, 945036115450381694, 4863547740, 608272580728707962, 3408417444], 'label': '8192.wy.4._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030553
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 507231460158158244, 945036117373806782, 3427710548, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030554
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 23336182, 507231460158158244, 945036117373806782, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030555
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 3398266123, 776196453793973340, 23336182, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030556
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 3398266123, 3427710548, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350], 'label': '8192.wy.16._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030557
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 507231460158158244, 3427710548, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350], 'label': '8192.wy.16._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030558
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 12055774, 776196453793973340, 23336182, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030559
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 4863547740, 776196453793973340, 945036115457997164, 23336182, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030560
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115436168658, 3314457, 4863547740, 776196453793973340, 945036115457997164, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030561
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115436168658, 249695279010334470, 12055774, 507231460158158244, 3314457, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030562
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 23336182, 507231460158158244, 3314457, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030563
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 1099504540643719230, 3314457, 776196453793973340, 945036115450381694, 4863547740, 1099504540650950844, 608272580728707962, 3408417444], 'label': '8192.wy.4._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030564
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3314457, 776196453793973340, 861174516873415764, 3426623342, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030565
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3314457, 776196453793973340, 861174516873415764, 22207928, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030566
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 861174516875232349, 776196453793973340, 25158737, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030567
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [608272580746468256, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030568
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 4863547740, 776196453793973340, 507231460158158244, 861174516887947500, 3408417444, 249695279010334470], 'label': '8192.wy.16._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030569
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 3314457, 945036117373806782, 776196453793973340, 23336182, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030570
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 494447461208680350, 1714817781023892564, 3314457, 945036117373806782, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030571
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 945036117373806782, 3427710548, 861174516865795230, 3314457, 776196453793973340, 494447461208680350], 'label': '8192.wy.16._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030572
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 3314457, 945036117373806782, 776196453793973340, 23336182, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030573
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 23336182, 507231460158158244, 2079046919425137900, 4866134850, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030574
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 23336182, 507231460158158244, 1099504540643719230, 3314457, 776196453793973340, 945036115450381694, 4863547740, 608272580728707962, 3408417444], 'label': '8192.wy.4._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030575
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 2079046919425137900, 4846066770, 4866134850, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030576
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 4846066770, 4866134850, 861174516865795230, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030577
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 23336182, 507231460158158244, 4866134850, 861174516865795230, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030578
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 1714817781023892564, 945036117373806782, 4863547740, 776196453793973340, 23336182, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030579
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3427710548, 494447461208680350, 1714817781023892564, 945036117373806782, 4863547740, 776196453793973340, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030580
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 945036117373806782, 3427710548, 861174516865795230, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030581
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 945036117373806782, 4863547740, 776196453793973340, 23336182, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030582
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [608272580736298178, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030583
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 608272580747199776, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030585
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 1099504540643719230, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 608272580728707962, 3408417444], 'label': '8192.wy.4._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030586
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 861174516875232349, 776196453793973340, 22207928, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030587
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 507231460158158244, 4866134850, 4856295156, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030588
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 507231460158158244, 4866134850, 11289680, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030589
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4856295156, 776196453793973340, 861174516873415764, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030590
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 776196453793973340, 861174516873415764, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030591
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 507231460158158244, 3314457, 4856295156, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030592
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 3314457, 2079046919417885316, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030593
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3409142490, 33084272, 249695279010334470, 507231460158158244, 945036117373806782, 3314457, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030594
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 494447461208680350, 3409142490, 3314457, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030595
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 249695279010334470, 507231460158158244, 945036117373806782, 1134021, 3314457, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030596
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 507231460158158244, 3314457, 22207928, 776196453793973340, 4863547740, 945036115450381694, 608272580728707962, 3408417444], 'label': '8192.wy.4._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030597
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 507231460158158244, 945036117373806782, 1134021, 3314457, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030598
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 3409142490, 3314457, 945036117373806782, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030599
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3409142490, 249695279010334470, 945036118320827940, 507231460158158244, 945036117373806782, 3314457, 776196453793973340, 1714817781023892564, 494447461208680350], 'label': '8192.wy.16._.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030600
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 1714817781023892564, 3314457, 945036117373806782, 776196453793973340, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030601
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 507231460158158244, 945036117373806782, 861174516865795230, 3314457, 1134021, 776196453793973340, 494447461208680350], 'label': '8192.wy.16._.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030602
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 249695279010334470, 507231460158158244, 861174516865795230, 3314457, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030603
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4864634946, 249695279010334470, 507231460158158244, 2079046919425137900, 3314457, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030604
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 2079046919425137900, 1134021, 3314457, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030605
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516865795230, 3314457, 1134021, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030606
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516865795230, 494447461208680350, 3409142490, 3314457, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030607
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 861174516873415764, 11289680, 3314457, 22207928, 1099504540658950884, 776196453793973340, 4863547740, 945036115450381694, 3408417444], 'label': '8192.wy.2._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.H', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030608
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540650950844, 608272580728707962, 3408417444], 'label': '8192.wy.4._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030609
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3409142490, 249695279010334470, 507231460158158244, 945036117373806782, 3314457, 776196453793973340, 1714817781023892564, 4863547740, 494447461208680350], 'label': '8192.wy.16._.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030610
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1134021, 494447461208680350, 1714817781023892564, 3314457, 945036117373806782, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030611
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 945036117373806782, 861174516865795230, 3314457, 1134021, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030612
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3409142490, 33084272, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030613
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 945036115450381694, 494447461208680350, 3409142490, 3314457, 4863547740, 776196453793973340, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030614
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3415701612, 249695279010334470, 507231460158158244, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030615
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 507231460158158244, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030616
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450744580, 494447461208680350, 3408417444], 'label': '8192.wy.16._.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030617
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 3314457, 945036115443103742, 776196453793973340, 4863547740, 945036115450744580, 494447461208680350, 3408417444], 'label': '8192.wy.16._.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030618
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1134021, 3314457, 945036115443103742, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030619
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 23336182, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 608272580728707962, 3408417444], 'label': '8192.wy.4._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030620
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33084272, 249695279010334470, 507231460158158244, 1134021, 3314457, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030621
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4856295156, 3314457, 776196453793973340, 861174516873415764, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030622
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 3314457, 776196453793973340, 861174516873415764, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030623
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516875232349, 249695279010334470, 507231460158158244, 14236187, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030624
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 608272580728707962, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ID', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030625
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1099504540633186255, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030626
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1099504540644082830, 3314457, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030627
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030628
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 4863547740, 861174516875232349, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030629
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 861174516887947500, 1978453934, 1714817781024255450, 507231460158158244, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.II', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.II', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030630
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 737383283709540630, 507231460158158244, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 608272580728707962, 3408417444], 'label': '8192.wy.4._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030631
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 1978453934, 1714817781024255450, 507231460158158244, 776196453793973340, 945036115450381694, 1714817781031171716, 494447461208680350], 'label': '8192.wy.16._.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030632
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 3411000111, 1978453934, 507231460158158244, 776196453793973340, 945036115450381694, 1714817781031171716, 494447461208680350], 'label': '8192.wy.16._.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030633
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 3411000111, 861174516887947500, 1978453934, 507231460158158244, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030634
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 90305922856320260, 861174516887947500, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.16._.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030635
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922851951198, 249695279010334470, 90305922856320260, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.16._.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030636
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922851951198, 861174516866526043, 249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.16._.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030637
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 945036118320827940, 861174516887947500, 507231460158158244, 945036115451471780, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.16._.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030638
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 1714817781024255450, 507231460158158244, 945036117373806782, 3314457, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030639
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1714817781024255450, 507231460158158244, 945036117373806782, 3314457, 776196453793973340, 4863547740, 1714817781031171716, 494447461208680350], 'label': '8192.wy.16._.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030640
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 507231460158158244, 945036117373806782, 3314457, 776196453793973340, 4863547740, 1714817781031171716, 494447461208680350], 'label': '8192.wy.16._.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030641
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1099504540644082830, 737383283709540630, 507231460158158244, 3314457, 22207928, 776196453793973340, 945036115450381694, 4863547740, 608272580728707962, 3408417444], 'label': '8192.wy.4._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030642
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 861174516887947500, 507231460158158244, 945036117373806782, 3314457, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030643
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 861174516873415764, 25158737, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030644
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 1099504540658950884, 3314457, 4863547740, 776196453793973340, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030645
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516881419962, 249695279010334470, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030646
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030647
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 861174516873415764, 507231460158158244, 14236187, 3408417444, 249695279010334470], 'label': '8192.wy.16._.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030648
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 1134021, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030649
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4863547740, 776196453793973340, 861174516873415764, 22207928, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030650
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 608272580717079120, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030651
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 608272580728344362, 3314457, 776196453793973340, 945036115450381694, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030652
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1099504540644082830, 737383283709540630, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 4863547740, 1099504540650950844, 608272580728707962, 3408417444], 'label': '8192.wy.4._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030653
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 4863547740, 776196453793973340, 861174516873415764, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030654
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 861174516873778650, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030655
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 1099504540632459030, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030656
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115435805772, 4863547740, 776196453793973340, 945036115457634278, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030657
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 3411000111, 1978453934, 507231460158158244, 776196453793973340, 34212526, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030658
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 3416788818, 3411000111, 1978453934, 507231460158158244, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030659
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 3416788818, 776196453793973340, 861174516873415764, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030660
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 1978453934, 507231460158158244, 861174516873415764, 776196453793973340, 34212526, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030661
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 507231460158158244, 4866134850, 776196453793973340, 34212526, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030662
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2079046919417885316, 249695279010334470, 4835190403, 507231460158158244, 4866134850, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030663
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1099504540644082830, 737383283709540630, 23336182, 507231460158158244, 3314457, 776196453793973340, 945036115450381694, 4863547740, 608272580728707962, 3408417444], 'label': '8192.wy.4._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030664
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 4835190403, 507231460158158244, 861174516873415764, 4866134850, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030665
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 861174516873415764, 4866134850, 776196453793973340, 34212526, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030666
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1714817781016272030, 494447461208680350, 3314457, 4863547740, 776196453793973340, 34212526, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030667
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 3416788818, 507231460158158244, 3314457, 776196453793973340, 4863547740, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030668
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3416788818, 3314457, 4863547740, 776196453793973340, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030669
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 3314457, 4863547740, 776196453793973340, 34212526, 861174516873415764, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030670
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 945036117373806782, 776196453793973340, 1714817781024255450, 22207928, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030671
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 945036117373806782, 776196453793973340, 1714817781024255450, 3426623342, 945036118320827940, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JU', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030672
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 945036118320827940, 507231460158158244, 3426623342, 945036117373806782, 3314457, 776196453793973340, 494447461208680350], 'label': '8192.wy.16._.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JV', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030673
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 945036118320827940, 507231460158158244, 945036117373806782, 3314457, 776196453793973340, 22207928, 494447461208680350], 'label': '8192.wy.16._.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JW', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030674
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 1099504540644082830, 737383283709540630, 507231460158158244, 3314457, 776196453793973340, 1099504540651678062, 4863547740, 945036115450381694, 608272580728707962, 3408417444], 'label': '8192.wy.4._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030675
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 1714817781024255450, 22207928, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JX', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030676
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 1978453934, 494447461208680350, 776196453793973340, 1714817781024255450, 3426623342, 3411000111, 507231460158158244, 249695279010334470], 'label': '8192.wy.16._.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JY', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030677
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 3411000111, 1978453934, 507231460158158244, 3426623342, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.JZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.JZ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030678
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 3411000111, 1978453934, 507231460158158244, 776196453793973340, 22207928, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KA', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030679
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 90305922856320260, 507231460158158244, 945036115451471780, 776196453793973340, 22207928, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KB', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030680
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 23336182, 507231460158158244, 945036115451471780, 776196453793973340, 945036115457634278, 494447461208680350, 3408417444], 'label': '8192.wy.16._.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KC', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030681
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115436168658, 249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 776196453793973340, 945036115457634278, 494447461208680350, 3408417444], 'label': '8192.wy.16._.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KD', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030682
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115436168658, 249695279010334470, 945036118320827940, 507231460158158244, 945036115451471780, 11289680, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.16._.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KE', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030683
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 861174516887947500, 1978453934, 507231460158158244, 3398266123, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KF', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030684
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 1978453934, 507231460158158244, 3398266123, 776196453793973340, 945036115450381694, 1714817781031171716, 494447461208680350], 'label': '8192.wy.16._.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KG', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030685
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 507231460158158244, 11289680, 3314457, 22207928, 776196453793973340, 945036115450381694, 4863547740, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030686
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 1978453934, 507231460158158244, 776196453793973340, 945036115450381694, 1714817781031171716, 494447461208680350], 'label': '8192.wy.16._.KH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KH', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030687
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 861174516887947500, 3411000111, 1978453934, 507231460158158244, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.KI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KI', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030688
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 861174516887947500, 507231460158158244, 3314457, 776196453793973340, 494447461208680350, 945036115457997164, 3408417444], 'label': '8192.wy.16._.KJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KJ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030689
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 776196453793973340, 90305922851951198, 945036115457997164, 945036118320827940, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.KK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KK', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030690
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [90305922851951198, 249695279010334470, 12055774, 945036118320827940, 507231460158158244, 3314457, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.16._.KL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KL', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030691
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 861174516887947500, 945036118320827940, 507231460158158244, 3314457, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.16._.KM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KM', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030692
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 861174516887947500, 507231460158158244, 3398266123, 945036117373806782, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.KN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030693
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 507231460158158244, 3398266123, 945036117373806782, 776196453793973340, 4863547740, 1714817781031171716, 494447461208680350], 'label': '8192.wy.16._.KO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KO', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030694
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 507231460158158244, 945036117373806782, 776196453793973340, 4863547740, 1714817781031171716, 494447461208680350], 'label': '8192.wy.16._.KP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KP', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030695
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 861174516887947500, 3411000111, 507231460158158244, 945036117373806782, 776196453793973340, 4863547740, 494447461208680350], 'label': '8192.wy.16._.KQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KQ', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030696
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 861174516887947500, 737383283709540630, 507231460158158244, 11289680, 3314457, 776196453793973340, 4863547740, 945036115450381694, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CN', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030697
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 945036118320827940, 23336182, 507231460158158244, 945036115451471780, 11289680, 776196453793973340, 494447461208680350, 3408417444], 'label': '8192.wy.16._.KR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KR', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030698
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 4856295156, 776196453793973340, 23336182, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.KS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KS', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030699
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 4846066770, 4866134850, 4856295156, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.KT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KT', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 255030700
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 507231460158158244, 4846066770, 4866134850, 11289680, 776196453793973340, 945036115450381694, 494447461208680350, 3408417444], 'label': '8192.wy.16._.KU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KU', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255030701
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115450381694, 494447461208680350, 11289680, 776196453793973340, 23336182, 4866134850, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.KV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KV', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255030702
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 3314457, 4863547740, 776196453793973340, 945036115457634278, 23336182, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.KW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KW', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255030703
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115436168658, 3314457, 4863547740, 776196453793973340, 945036115457634278, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.KX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KX', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255030704
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115436168658, 249695279010334470, 507231460158158244, 11289680, 3314457, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.KY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KY', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255030705
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 3314457, 4863547740, 776196453793973340, 23336182, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.KZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.KZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.KZ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255030706
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 90305922856320260, 507231460158158244, 945036115451471780, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.LA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LA', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255030707
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 737383283709540630, 23336182, 507231460158158244, 11289680, 3314457, 776196453793973340, 945036115450381694, 4863547740, 1099504540658219364, 3408417444], 'label': '8192.wy.4._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CO', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255030708
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115435805772, 861174516866526043, 249695279010334470, 507231460158158244, 945036115451471780, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.LB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LB', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255030709
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [861174516866526043, 249695279010334470, 507231460158158244, 945036115451471780, 776196453793973340, 22207928, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.LC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LC', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255030710
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 4863547740, 776196453793973340, 22207928, 945036115457634278, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.LD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LD', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255030711
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [945036115435805772, 249695279010334470, 507231460158158244, 945036115451471780, 11289680, 776196453793973340, 4863547740, 494447461208680350, 3408417444], 'label': '8192.wy.16._.LE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LE', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255030712
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 11289680, 4863547740, 776196453793973340, 22207928, 945036115451471780, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.LF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LF', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255030713
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [494447461208680350, 945036115435805772, 3314457, 4863547740, 776196453793973340, 945036115457634278, 507231460158158244, 3408417444, 249695279010334470], 'label': '8192.wy.16._.LG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LG', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255030714
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 12055774, 3411000111, 1978453934, 507231460158158244, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.LH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LH', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255030715
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1714817781016272030, 249695279010334470, 3411000111, 1978453934, 507231460158158244, 3398266123, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.LI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LI', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255030716
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 3411000111, 1978453934, 507231460158158244, 861174516873415764, 3398266123, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.LJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LJ', 'subgroup_fusion': None, 'weyl_group': None}
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id: 255030717
{'ambient': '8192.wy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [249695279010334470, 12055774, 3411000111, 1978453934, 507231460158158244, 861174516873415764, 776196453793973340, 945036115450381694, 494447461208680350], 'label': '8192.wy.16._.LK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.LK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.LK', 'subgroup_fusion': None, 'weyl_group': None}
