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gps_groups • Show schema
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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '816.181', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 48, 'aut_gen_orders': [2, 16, 6, 6, 8, 16, 48, 16], 'aut_gens': [[14846690953, 1436776530, 167690], [3352478713, 10194271570, 59406432], [14846690953, 5883941980, 68417520], [14846690953, 17788661800, 59406432], [13136242417, 17788661800, 59406432], [3352478713, 19157020400, 60309913], [3352478713, 12109973610, 59574122], [14846690953, 12862570840, 59406432], [13136242417, 11836301890, 167690]], 'aut_group': '10000.cm', 'aut_hash': 3474994898915320185, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 6144, 'aut_permdeg': 34, 'aut_perms': [139780364860409143885733983072302167648, 51332361348475978673779008962124001303, 139780364860409143885814247270475711666, 139780364860411625681975474687942894816, 252928654714719249423296128307022660287, 220577210332127704607651164679570468376, 144482954257777847343629633766157091022, 8217579027373995840703558306650125380], 'aut_phi_ratio': 4.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 6, 2, 1], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 1], [4, 1, 2, 1], [4, 2, 1, 1], [4, 6, 2, 1], [6, 1, 2, 1], [6, 2, 1, 1], [6, 2, 2, 3], [6, 2, 4, 1], [6, 6, 4, 1], [8, 1, 4, 1], [8, 2, 2, 1], [8, 6, 4, 1], [12, 1, 4, 1], [12, 2, 2, 3], [12, 2, 4, 2], [12, 6, 4, 1], [17, 1, 16, 1], [24, 1, 8, 1], [24, 2, 4, 3], [24, 2, 8, 2], [24, 6, 8, 1], [34, 1, 16, 1], [34, 2, 16, 1], [34, 6, 32, 1], [51, 1, 32, 1], [51, 2, 16, 1], [51, 2, 32, 1], [68, 1, 32, 1], [68, 2, 16, 1], [68, 6, 32, 1], [102, 1, 32, 1], [102, 2, 16, 1], [102, 2, 32, 3], [102, 2, 64, 1], [102, 6, 64, 1], [136, 1, 64, 1], [136, 2, 32, 1], [136, 6, 64, 1], [204, 1, 64, 1], [204, 2, 32, 3], [204, 2, 64, 2], [204, 6, 64, 1], [408, 1, 128, 1], [408, 2, 64, 3], [408, 2, 128, 2], [408, 6, 128, 1]], 'aut_supersolvable': True, 'aut_tex': '(C_5\\times D_5^2):F_5', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 16, 'autcent_group': '512.10493039', 'autcent_hash': 3046548263559564634, 'autcent_nilpotent': True, 'autcent_order': 512, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^5\times C_{16}', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '12.4', 'autcentquo_hash': 4, 'autcentquo_nilpotent': False, 'autcentquo_order': 12, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'D_6', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 1], [2, 6, 2], [3, 1, 2], [3, 2, 3], [4, 1, 2], [4, 2, 1], [4, 6, 2], [6, 1, 2], [6, 2, 11], [6, 6, 4], [8, 1, 4], [8, 2, 2], [8, 6, 4], [12, 1, 4], [12, 2, 14], [12, 6, 4], [17, 1, 16], [24, 1, 8], [24, 2, 28], [24, 6, 8], [34, 1, 16], [34, 2, 16], [34, 6, 32], [51, 1, 32], [51, 2, 48], [68, 1, 32], [68, 2, 16], [68, 6, 32], [102, 1, 32], [102, 2, 176], [102, 6, 64], [136, 1, 64], [136, 2, 32], [136, 6, 64], [204, 1, 64], [204, 2, 224], [204, 6, 64], [408, 1, 128], [408, 2, 448], [408, 6, 128]], 'center_label': '408.4', 'center_order': 408, 'central_product': True, 'central_quotient': '12.4', 'commutator_count': 1, 'commutator_label': '6.2', 'complements_known': True, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '17.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 17, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['17.1', 1], ['3.1', 1], ['96.108', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 6, 1, 2], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 1], [4, 1, 2, 1], [4, 2, 1, 1], [4, 6, 1, 2], [6, 1, 2, 1], [6, 2, 1, 1], [6, 2, 2, 5], [6, 6, 2, 2], [8, 1, 4, 1], [8, 2, 2, 1], [8, 6, 2, 2], [12, 1, 4, 1], [12, 2, 2, 3], [12, 2, 4, 2], [12, 6, 2, 2], [17, 1, 16, 1], [24, 1, 8, 1], [24, 2, 4, 3], [24, 2, 8, 2], [24, 6, 4, 2], [34, 1, 16, 1], [34, 2, 16, 1], [34, 6, 16, 2], [51, 1, 32, 1], [51, 2, 16, 1], [51, 2, 32, 1], [68, 1, 32, 1], [68, 2, 16, 1], [68, 6, 16, 2], [102, 1, 32, 1], [102, 2, 16, 1], [102, 2, 32, 5], [102, 6, 32, 2], [136, 1, 64, 1], [136, 2, 32, 1], [136, 6, 32, 2], [204, 1, 64, 1], [204, 2, 32, 3], [204, 2, 64, 2], [204, 6, 32, 2], [408, 1, 128, 1], [408, 2, 64, 3], [408, 2, 128, 2], [408, 6, 64, 2]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': 5363904, 'exponent': 408, 'exponents_of_order': [5, 2, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3, 17], 'faithful_reps': [[2, 0, 256]], 'familial': False, 'frattini_label': '4.1', 'frattini_quotient': '1224.160', 'hash': 5461394712593768314, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [6, 1, 2], 'inner_gens': [[14846690953, 1436776530, 59574122], [14846690953, 1436776530, 167690], [24630454657, 1436776530, 167690]], 'inner_hash': 4, 'inner_nilpotent': False, 'inner_order': 12, 'inner_split': True, 'inner_tex': 'D_6', 'inner_used': [1, 3], 'irrC_degree': 2, 'irrQ_degree': 256, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': [[1, 816], [2, 1020]], 'label': '4896.q', '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': True, 'metacyclic': False, 'monomial': True, 'name': 'D12.C204', 'ngens': 3, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 68, 'number_characteristic_subgroups': 92, 'number_conjugacy_classes': 1836, 'number_divisions': 82, 'number_normal_subgroups': 148, 'number_subgroup_autclasses': 204, 'number_subgroup_classes': 270, 'number_subgroups': 500, 'old_label': None, 'order': 4896, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 15], [3, 8], [4, 16], [6, 48], [8, 32], [12, 56], [17, 16], [24, 112], [34, 240], [51, 128], [68, 256], [102, 768], [136, 512], [204, 896], [408, 1792]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 16, 'outer_gen_orders': [2, 16, 8, 8, 16, 4], 'outer_gen_pows': [68417930, 68417930, 68417930, 68417930, 3626150238, 24288364796], 'outer_gens': [[24630454657, 1505194460, 59574122], [3352478713, 20456961070, 9178778], [14846690953, 16215049410, 24029977], [3352478713, 16488721130, 44555233], [14846690953, 18062333520, 60309913], [14846690953, 10810032940, 32137993]], 'outer_group': '512.10493039', 'outer_hash': 3046548263559564634, 'outer_nilpotent': True, 'outer_order': 512, 'outer_permdeg': 512, 'outer_perms': 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'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^5\times C_{16}', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 39, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 4, 3, 17], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': [[1, 8], [2, 16], [4, 10], [8, 3], [16, 12], [32, 16], [64, 10], [128, 3], [256, 4]], 'representations': {'PC': {'code': '2222773132244206321673153385400928001072897', 'gens': [1, 2, 7], 'pres': [8, 2, 2, 2, 2, 3, 17, 2, 3, 41, 66, 91, 156, 251334, 166, 208903]}, 'GLFp': {'d': 2, 'p': 409, 'gens': [14846690953, 1436776530, 167690]}, 'Perm': {'d': 39, 'gens': [524159559781807005122344727159119830220800000, 1047192510404597352570330115147337145876480000, 1611889634323486487429591771952803358974540307]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 204], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'D_{12}.C_{204}', 'transitive_degree': 816, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 87881563
{'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 17, 'group_order': 4896, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 68417930, 'size': 1}
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id: 87882511
{'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 17, 'group_order': 4896, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 27914515440, 'size': 1}
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id: 87882622
{'aut_label': '2B', 'centralizer': '2.b1.a1', 'counter': 3, 'group_counter': 17, 'group_order': 4896, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 68418337, 'size': 2}
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id: 87882733
{'aut_label': '2C', 'centralizer': '6.j1.a1', 'counter': 4, 'group_counter': 17, 'group_order': 4896, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 8275297, 'size': 6}
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id: 87882844
{'aut_label': '2C', 'centralizer': '6.j1.b1', 'counter': 5, 'group_counter': 17, 'group_order': 4896, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 68417520, 'size': 6}
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id: 87882955
{'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 6, 'group_counter': 17, 'group_order': 4896, 'label': '3A1', 'order': 3, 'powers': [7, 1, 7], 'representative': 3626150290, 'size': 1}
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id: 87883066
{'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 7, 'group_counter': 17, 'group_order': 4896, 'label': '3A-1', 'order': 3, 'powers': [6, 1, 6], 'representative': 24288365150, 'size': 1}
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id: 87883177
{'aut_label': '3B', 'centralizer': '2.b1.a1', 'counter': 8, 'group_counter': 17, 'group_order': 4896, 'label': '3B', 'order': 3, 'powers': [8, 1, 8], 'representative': 24288364848, 'size': 2}
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id: 87883288
{'aut_label': '3C1', 'centralizer': '2.b1.a1', 'counter': 9, 'group_counter': 17, 'group_order': 4896, 'label': '3C1', 'order': 3, 'powers': [10, 1, 10], 'representative': 68417982, 'size': 2}
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id: 87881564
{'aut_label': '3C1', 'centralizer': '2.b1.a1', 'counter': 10, 'group_counter': 17, 'group_order': 4896, 'label': '3C-1', 'order': 3, 'powers': [9, 1, 9], 'representative': 68418284, 'size': 2}
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id: 87881675
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 17, 'group_order': 4896, 'label': '4A1', 'order': 4, 'powers': [2, 12, 11], 'representative': 9783763990, 'size': 1}
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id: 87881786
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 12, 'group_counter': 17, 'group_order': 4896, 'label': '4A-1', 'order': 4, 'powers': [2, 11, 12], 'representative': 18199169380, 'size': 1}
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id: 87881897
{'aut_label': '4B', 'centralizer': '2.b1.a1', 'counter': 13, 'group_counter': 17, 'group_order': 4896, 'label': '4B', 'order': 4, 'powers': [2, 13, 13], 'representative': 18199169257, 'size': 2}
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id: 87882008
{'aut_label': '4C', 'centralizer': '6.j1.b1', 'counter': 14, 'group_counter': 17, 'group_order': 4896, 'label': '4C', 'order': 4, 'powers': [2, 14, 14], 'representative': 23979670, 'size': 6}
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id: 87882119
{'aut_label': '4C', 'centralizer': '6.j1.a1', 'counter': 15, 'group_counter': 17, 'group_order': 4896, 'label': '4D', 'order': 4, 'powers': [2, 15, 15], 'representative': 59697231, 'size': 6}
-
id: 87882230
{'aut_label': '6A1', 'centralizer': '1.a1.a1', 'counter': 16, 'group_counter': 17, 'group_order': 4896, 'label': '6A1', 'order': 6, 'powers': [6, 2, 17], 'representative': 3694568220, 'size': 1}
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id: 87882341
{'aut_label': '6A1', 'centralizer': '1.a1.a1', 'counter': 17, 'group_counter': 17, 'group_order': 4896, 'label': '6A-1', 'order': 6, 'powers': [7, 2, 16], 'representative': 24356783080, 'size': 1}
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id: 87882452
{'aut_label': '6B', 'centralizer': '2.b1.a1', 'counter': 18, 'group_counter': 17, 'group_order': 4896, 'label': '6B', 'order': 6, 'powers': [8, 2, 18], 'representative': 24356782778, 'size': 2}
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id: 87882500
{'aut_label': '6C1', 'centralizer': '2.b1.a1', 'counter': 19, 'group_counter': 17, 'group_order': 4896, 'label': '6C1', 'order': 6, 'powers': [8, 3, 20], 'representative': 3626150291, 'size': 2}
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id: 87882512
{'aut_label': '6C1', 'centralizer': '2.b1.a1', 'counter': 20, 'group_counter': 17, 'group_order': 4896, 'label': '6C-1', 'order': 6, 'powers': [8, 3, 19], 'representative': 24288365151, 'size': 2}
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id: 87882523
{'aut_label': '6D1', 'centralizer': '2.b1.a1', 'counter': 21, 'group_counter': 17, 'group_order': 4896, 'label': '6D1', 'order': 6, 'powers': [9, 3, 22], 'representative': 68417983, 'size': 2}
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id: 87882534
{'aut_label': '6D1', 'centralizer': '2.b1.a1', 'counter': 22, 'group_counter': 17, 'group_order': 4896, 'label': '6D-1', 'order': 6, 'powers': [10, 3, 21], 'representative': 68418285, 'size': 2}
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id: 87882545
{'aut_label': '6E1', 'centralizer': '2.b1.a1', 'counter': 23, 'group_counter': 17, 'group_order': 4896, 'label': '6E1', 'order': 6, 'powers': [6, 3, 24], 'representative': 24288364849, 'size': 2}
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id: 87882556
{'aut_label': '6E1', 'centralizer': '2.b1.a1', 'counter': 24, 'group_counter': 17, 'group_order': 4896, 'label': '6E-1', 'order': 6, 'powers': [7, 3, 23], 'representative': 3626150593, 'size': 2}
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id: 87882567
{'aut_label': '6D1', 'centralizer': '2.b1.a1', 'counter': 25, 'group_counter': 17, 'group_order': 4896, 'label': '6F1', 'order': 6, 'powers': [10, 3, 26], 'representative': 27914515085, 'size': 2}
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id: 87882578
{'aut_label': '6D1', 'centralizer': '2.b1.a1', 'counter': 26, 'group_counter': 17, 'group_order': 4896, 'label': '6F-1', 'order': 6, 'powers': [9, 3, 25], 'representative': 27914515387, 'size': 2}
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id: 87882589
{'aut_label': '6G1', 'centralizer': '2.b1.a1', 'counter': 27, 'group_counter': 17, 'group_order': 4896, 'label': '6G1', 'order': 6, 'powers': [9, 2, 28], 'representative': 27914515086, 'size': 2}
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id: 87882600
{'aut_label': '6G1', 'centralizer': '2.b1.a1', 'counter': 28, 'group_counter': 17, 'group_order': 4896, 'label': '6G-1', 'order': 6, 'powers': [10, 2, 27], 'representative': 27914515388, 'size': 2}
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id: 87882611
{'aut_label': '6H1', 'centralizer': '6.j1.a1', 'counter': 29, 'group_counter': 17, 'group_order': 4896, 'label': '6H1', 'order': 6, 'powers': [6, 4, 30], 'representative': 36408771, 'size': 6}
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id: 87882623
{'aut_label': '6H1', 'centralizer': '6.j1.a1', 'counter': 30, 'group_counter': 17, 'group_order': 4896, 'label': '6H-1', 'order': 6, 'powers': [7, 4, 29], 'representative': 24068423, 'size': 6}
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id: 87882634
{'aut_label': '6H1', 'centralizer': '6.j1.b1', 'counter': 31, 'group_counter': 17, 'group_order': 4896, 'label': '6I1', 'order': 6, 'powers': [6, 5, 32], 'representative': 9055260, 'size': 6}
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id: 87882645
{'aut_label': '6H1', 'centralizer': '6.j1.b1', 'counter': 32, 'group_counter': 17, 'group_order': 4896, 'label': '6I-1', 'order': 6, 'powers': [7, 5, 31], 'representative': 59697640, 'size': 6}
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id: 87882656
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 33, 'group_counter': 17, 'group_order': 4896, 'label': '8A1', 'order': 8, 'powers': [11, 35, 33], 'representative': 2120955830, 'size': 1}
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id: 87882667
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 34, 'group_counter': 17, 'group_order': 4896, 'label': '8A-1', 'order': 8, 'powers': [12, 36, 34], 'representative': 4515583380, 'size': 1}
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id: 87882678
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 35, 'group_counter': 17, 'group_order': 4896, 'label': '8A3', 'order': 8, 'powers': [12, 33, 35], 'representative': 23467349990, 'size': 1}
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id: 87882689
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 36, 'group_counter': 17, 'group_order': 4896, 'label': '8A-3', 'order': 8, 'powers': [11, 34, 36], 'representative': 25861977540, 'size': 1}
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id: 87882700
{'aut_label': '8B1', 'centralizer': '2.b1.a1', 'counter': 37, 'group_counter': 17, 'group_order': 4896, 'label': '8B1', 'order': 8, 'powers': [11, 38, 37], 'representative': 25861977193, 'size': 2}
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id: 87882711
{'aut_label': '8B1', 'centralizer': '2.b1.a1', 'counter': 38, 'group_counter': 17, 'group_order': 4896, 'label': '8B-1', 'order': 8, 'powers': [12, 37, 38], 'representative': 23467349713, 'size': 2}
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id: 87882722
{'aut_label': '8C1', 'centralizer': '6.j1.b1', 'counter': 39, 'group_counter': 17, 'group_order': 4896, 'label': '8C1', 'order': 8, 'powers': [11, 40, 39], 'representative': 6521096, 'size': 6}
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id: 87882734
{'aut_label': '8C1', 'centralizer': '6.j1.b1', 'counter': 40, 'group_counter': 17, 'group_order': 4896, 'label': '8C-1', 'order': 8, 'powers': [12, 39, 40], 'representative': 48920899, 'size': 6}
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id: 87882745
{'aut_label': '8C1', 'centralizer': '6.j1.a1', 'counter': 41, 'group_counter': 17, 'group_order': 4896, 'label': '8D1', 'order': 8, 'powers': [12, 42, 41], 'representative': 67398701, 'size': 6}
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id: 87882756
{'aut_label': '8C1', 'centralizer': '6.j1.a1', 'counter': 42, 'group_counter': 17, 'group_order': 4896, 'label': '8D-1', 'order': 8, 'powers': [11, 41, 42], 'representative': 37924934, 'size': 6}
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id: 87882767
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 43, 'group_counter': 17, 'group_order': 4896, 'label': '12A1', 'order': 12, 'powers': [17, 11, 45], 'representative': 24630454800, 'size': 1}
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id: 87882778
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 44, 'group_counter': 17, 'group_order': 4896, 'label': '12A-1', 'order': 12, 'powers': [16, 12, 46], 'representative': 14846690810, 'size': 1}
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id: 87882789
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 45, 'group_counter': 17, 'group_order': 4896, 'label': '12A5', 'order': 12, 'powers': [16, 11, 43], 'representative': 13136242560, 'size': 1}
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id: 87882800
{'aut_label': '12A1', 'centralizer': '1.a1.a1', 'counter': 46, 'group_counter': 17, 'group_order': 4896, 'label': '12A-5', 'order': 12, 'powers': [17, 12, 44], 'representative': 3352478570, 'size': 1}
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id: 87882811
{'aut_label': '12B1', 'centralizer': '2.b1.a1', 'counter': 47, 'group_counter': 17, 'group_order': 4896, 'label': '12B1', 'order': 12, 'powers': [18, 13, 48], 'representative': 3352478713, 'size': 2}
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id: 87882822
{'aut_label': '12B1', 'centralizer': '2.b1.a1', 'counter': 48, 'group_counter': 17, 'group_order': 4896, 'label': '12B5', 'order': 12, 'powers': [18, 13, 47], 'representative': 14846690953, 'size': 2}
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id: 87882833
{'aut_label': '12C1', 'centralizer': '2.b1.a1', 'counter': 49, 'group_counter': 17, 'group_order': 4896, 'label': '12C1', 'order': 12, 'powers': [16, 13, 50], 'representative': 14846690785, 'size': 2}
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id: 87882845
{'aut_label': '12C1', 'centralizer': '2.b1.a1', 'counter': 50, 'group_counter': 17, 'group_order': 4896, 'label': '12C-1', 'order': 12, 'powers': [17, 13, 49], 'representative': 24630454489, 'size': 2}
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id: 87882856
{'aut_label': '12D1', 'centralizer': '2.b1.a1', 'counter': 51, 'group_counter': 17, 'group_order': 4896, 'label': '12D1', 'order': 12, 'powers': [18, 11, 51], 'representative': 13136242728, 'size': 2}
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id: 87882867
{'aut_label': '12D1', 'centralizer': '2.b1.a1', 'counter': 52, 'group_counter': 17, 'group_order': 4896, 'label': '12D-1', 'order': 12, 'powers': [18, 12, 52], 'representative': 3352478738, 'size': 2}
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id: 87882878
{'aut_label': '12E1', 'centralizer': '2.b1.a1', 'counter': 53, 'group_counter': 17, 'group_order': 4896, 'label': '12E1', 'order': 12, 'powers': [27, 13, 55], 'representative': 9783764039, 'size': 2}
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id: 87882889
{'aut_label': '12E1', 'centralizer': '2.b1.a1', 'counter': 54, 'group_counter': 17, 'group_order': 4896, 'label': '12E-1', 'order': 12, 'powers': [28, 13, 56], 'representative': 18199169163, 'size': 2}
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id: 87882900
{'aut_label': '12E1', 'centralizer': '2.b1.a1', 'counter': 55, 'group_counter': 17, 'group_order': 4896, 'label': '12E5', 'order': 12, 'powers': [28, 13, 53], 'representative': 9783764207, 'size': 2}
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id: 87882911
{'aut_label': '12E1', 'centralizer': '2.b1.a1', 'counter': 56, 'group_counter': 17, 'group_order': 4896, 'label': '12E-5', 'order': 12, 'powers': [27, 13, 54], 'representative': 18199169331, 'size': 2}
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id: 87882922
{'aut_label': '12F1', 'centralizer': '2.b1.a1', 'counter': 57, 'group_counter': 17, 'group_order': 4896, 'label': '12F1', 'order': 12, 'powers': [27, 11, 59], 'representative': 13136242634, 'size': 2}
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id: 87882933
{'aut_label': '12F1', 'centralizer': '2.b1.a1', 'counter': 58, 'group_counter': 17, 'group_order': 4896, 'label': '12F-1', 'order': 12, 'powers': [28, 12, 60], 'representative': 3352478664, 'size': 2}
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id: 87882944
{'aut_label': '12F1', 'centralizer': '2.b1.a1', 'counter': 59, 'group_counter': 17, 'group_order': 4896, 'label': '12F5', 'order': 12, 'powers': [28, 11, 57], 'representative': 24630454706, 'size': 2}
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id: 87882956
{'aut_label': '12F1', 'centralizer': '2.b1.a1', 'counter': 60, 'group_counter': 17, 'group_order': 4896, 'label': '12F-5', 'order': 12, 'powers': [27, 12, 58], 'representative': 14846690736, 'size': 2}
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id: 87882967
{'aut_label': '12G1', 'centralizer': '6.j1.b1', 'counter': 61, 'group_counter': 17, 'group_order': 4896, 'label': '12G1', 'order': 12, 'powers': [16, 14, 62], 'representative': 32196480, 'size': 6}
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id: 87882978
{'aut_label': '12G1', 'centralizer': '6.j1.b1', 'counter': 62, 'group_counter': 17, 'group_order': 4896, 'label': '12G-1', 'order': 12, 'powers': [17, 14, 61], 'representative': 8216810, 'size': 6}
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id: 87882989
{'aut_label': '12G1', 'centralizer': '6.j1.a1', 'counter': 63, 'group_counter': 17, 'group_order': 4896, 'label': '12H1', 'order': 12, 'powers': [16, 15, 64], 'representative': 59551627, 'size': 6}
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id: 87883000
{'aut_label': '12G1', 'centralizer': '6.j1.a1', 'counter': 64, 'group_counter': 17, 'group_order': 4896, 'label': '12H-1', 'order': 12, 'powers': [17, 15, 63], 'representative': 68272325, 'size': 6}
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id: 87883011
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 65, 'group_counter': 17, 'group_order': 4896, 'label': '17A1', 'order': 17, 'powers': [67, 69, 1], 'representative': 410507580, 'size': 1}
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id: 87883022
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 66, 'group_counter': 17, 'group_order': 4896, 'label': '17A-1', 'order': 17, 'powers': [68, 70, 1], 'representative': 23330514130, 'size': 1}
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id: 87883033
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 67, 'group_counter': 17, 'group_order': 4896, 'label': '17A2', 'order': 17, 'powers': [71, 75, 1], 'representative': 2463045480, 'size': 1}
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id: 87883044
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 68, 'group_counter': 17, 'group_order': 4896, 'label': '17A-2', 'order': 17, 'powers': [72, 76, 1], 'representative': 8552241250, 'size': 1}
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id: 87883055
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 69, 'group_counter': 17, 'group_order': 4896, 'label': '17A3', 'order': 17, 'powers': [75, 80, 1], 'representative': 14778272880, 'size': 1}
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id: 87883067
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 70, 'group_counter': 17, 'group_order': 4896, 'label': '17A-3', 'order': 17, 'powers': [76, 79, 1], 'representative': 6089195770, 'size': 1}
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id: 87883078
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 71, 'group_counter': 17, 'group_order': 4896, 'label': '17A4', 'order': 17, 'powers': [79, 74, 1], 'representative': 4720837170, 'size': 1}
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id: 87883089
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 72, 'group_counter': 17, 'group_order': 4896, 'label': '17A-4', 'order': 17, 'powers': [80, 73, 1], 'representative': 5678688190, 'size': 1}
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id: 87883100
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 73, 'group_counter': 17, 'group_order': 4896, 'label': '17A5', 'order': 17, 'powers': [78, 68, 1], 'representative': 342089650, 'size': 1}
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id: 87883111
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 74, 'group_counter': 17, 'group_order': 4896, 'label': '17A-5', 'order': 17, 'powers': [77, 67, 1], 'representative': 5610270260, 'size': 1}
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id: 87883122
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 75, 'group_counter': 17, 'group_order': 4896, 'label': '17A6', 'order': 17, 'powers': [74, 65, 1], 'representative': 2052537900, 'size': 1}
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id: 87883133
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 76, 'group_counter': 17, 'group_order': 4896, 'label': '17A-6', 'order': 17, 'powers': [73, 66, 1], 'representative': 10262689500, 'size': 1}
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id: 87883144
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 77, 'group_counter': 17, 'group_order': 4896, 'label': '17A7', 'order': 17, 'powers': [70, 71, 1], 'representative': 12315227400, 'size': 1}
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id: 87883155
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 78, 'group_counter': 17, 'group_order': 4896, 'label': '17A-7', 'order': 17, 'powers': [69, 72, 1], 'representative': 1710448250, 'size': 1}
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id: 87883166
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 79, 'group_counter': 17, 'group_order': 4896, 'label': '17A8', 'order': 17, 'powers': [66, 77, 1], 'representative': 17925497660, 'size': 1}
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id: 87883178
{'aut_label': '17A1', 'centralizer': '1.a1.a1', 'counter': 80, 'group_counter': 17, 'group_order': 4896, 'label': '17A-8', 'order': 17, 'powers': [65, 78, 1], 'representative': 23604185850, 'size': 1}
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id: 87883189
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 81, 'group_counter': 17, 'group_order': 4896, 'label': '24A1', 'order': 24, 'powers': [43, 33, 86], 'representative': 12520481190, 'size': 1}
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id: 87883200
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 82, 'group_counter': 17, 'group_order': 4896, 'label': '24A-1', 'order': 24, 'powers': [44, 34, 85], 'representative': 2599881340, 'size': 1}
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id: 87883211
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 83, 'group_counter': 17, 'group_order': 4896, 'label': '24A5', 'order': 24, 'powers': [45, 36, 88], 'representative': 8004897810, 'size': 1}
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id: 87883222
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 84, 'group_counter': 17, 'group_order': 4896, 'label': '24A-5', 'order': 24, 'powers': [46, 35, 87], 'representative': 478925510, 'size': 1}
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id: 87883233
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 85, 'group_counter': 17, 'group_order': 4896, 'label': '24A7', 'order': 24, 'powers': [46, 34, 82], 'representative': 27504007860, 'size': 1}
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id: 87883244
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 86, 'group_counter': 17, 'group_order': 4896, 'label': '24A-7', 'order': 24, 'powers': [45, 33, 81], 'representative': 19978035560, 'size': 1}
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id: 87883255
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 87, 'group_counter': 17, 'group_order': 4896, 'label': '24A11', 'order': 24, 'powers': [44, 35, 84], 'representative': 25383052030, 'size': 1}
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id: 87883266
{'aut_label': '24A1', 'centralizer': '1.a1.a1', 'counter': 88, 'group_counter': 17, 'group_order': 4896, 'label': '24A-11', 'order': 24, 'powers': [43, 36, 83], 'representative': 15462452180, 'size': 1}
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id: 87883277
{'aut_label': '24B1', 'centralizer': '2.b1.a1', 'counter': 89, 'group_counter': 17, 'group_order': 4896, 'label': '24B1', 'order': 24, 'powers': [51, 33, 89], 'representative': 19978035451, 'size': 2}
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id: 87883289
{'aut_label': '24B1', 'centralizer': '2.b1.a1', 'counter': 90, 'group_counter': 17, 'group_order': 4896, 'label': '24B-1', 'order': 24, 'powers': [52, 34, 90], 'representative': 27504007496, 'size': 2}
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id: 87883300
{'aut_label': '24B1', 'centralizer': '2.b1.a1', 'counter': 91, 'group_counter': 17, 'group_order': 4896, 'label': '24B5', 'order': 24, 'powers': [51, 36, 91], 'representative': 15462452071, 'size': 2}
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id: 87883311
{'aut_label': '24B1', 'centralizer': '2.b1.a1', 'counter': 92, 'group_counter': 17, 'group_order': 4896, 'label': '24B-5', 'order': 24, 'powers': [52, 35, 92], 'representative': 25383051666, 'size': 2}
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id: 87883322
{'aut_label': '24C1', 'centralizer': '2.b1.a1', 'counter': 93, 'group_counter': 17, 'group_order': 4896, 'label': '24C1', 'order': 24, 'powers': [51, 37, 96], 'representative': 8004897876, 'size': 2}
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id: 87883333
{'aut_label': '24C1', 'centralizer': '2.b1.a1', 'counter': 94, 'group_counter': 17, 'group_order': 4896, 'label': '24C-1', 'order': 24, 'powers': [52, 38, 95], 'representative': 478925541, 'size': 2}
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id: 87883344
{'aut_label': '24C1', 'centralizer': '2.b1.a1', 'counter': 95, 'group_counter': 17, 'group_order': 4896, 'label': '24C7', 'order': 24, 'powers': [52, 38, 94], 'representative': 25383052061, 'size': 2}
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id: 87883355
{'aut_label': '24C1', 'centralizer': '2.b1.a1', 'counter': 96, 'group_counter': 17, 'group_order': 4896, 'label': '24C-7', 'order': 24, 'powers': [51, 37, 93], 'representative': 15462452246, 'size': 2}
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id: 87883366
{'aut_label': '24D1', 'centralizer': '2.b1.a1', 'counter': 97, 'group_counter': 17, 'group_order': 4896, 'label': '24D1', 'order': 24, 'powers': [43, 37, 99], 'representative': 15462452137, 'size': 2}
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id: 87883377
{'aut_label': '24D1', 'centralizer': '2.b1.a1', 'counter': 98, 'group_counter': 17, 'group_order': 4896, 'label': '24D-1', 'order': 24, 'powers': [44, 38, 100], 'representative': 25383051697, 'size': 2}
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id: 87883388
{'aut_label': '24D1', 'centralizer': '2.b1.a1', 'counter': 99, 'group_counter': 17, 'group_order': 4896, 'label': '24D5', 'order': 24, 'powers': [45, 37, 97], 'representative': 19978035385, 'size': 2}
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id: 87881565
{'aut_label': '24D1', 'centralizer': '2.b1.a1', 'counter': 100, 'group_counter': 17, 'group_order': 4896, 'label': '24D-5', 'order': 24, 'powers': [46, 38, 98], 'representative': 27504007465, 'size': 2}
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id: 87881576
{'aut_label': '24E1', 'centralizer': '2.b1.a1', 'counter': 101, 'group_counter': 17, 'group_order': 4896, 'label': '24E1', 'order': 24, 'powers': [57, 36, 106], 'representative': 8004897759, 'size': 2}
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id: 87881587
{'aut_label': '24E1', 'centralizer': '2.b1.a1', 'counter': 102, 'group_counter': 17, 'group_order': 4896, 'label': '24E-1', 'order': 24, 'powers': [58, 35, 105], 'representative': 478925534, 'size': 2}
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id: 87881598
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id: 87881609
{'aut_label': '24E1', 'centralizer': '2.b1.a1', 'counter': 104, 'group_counter': 17, 'group_order': 4896, 'label': '24E-5', 'order': 24, 'powers': [60, 34, 107], 'representative': 2599881680, 'size': 2}
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id: 87881620
{'aut_label': '24E1', 'centralizer': '2.b1.a1', 'counter': 105, 'group_counter': 17, 'group_order': 4896, 'label': '24E7', 'order': 24, 'powers': [60, 35, 102], 'representative': 25383051690, 'size': 2}
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id: 87881631
{'aut_label': '24E1', 'centralizer': '2.b1.a1', 'counter': 106, 'group_counter': 17, 'group_order': 4896, 'label': '24E-7', 'order': 24, 'powers': [59, 36, 101], 'representative': 15462452020, 'size': 2}
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id: 87881642
{'aut_label': '24E1', 'centralizer': '2.b1.a1', 'counter': 107, 'group_counter': 17, 'group_order': 4896, 'label': '24E11', 'order': 24, 'powers': [58, 34, 104], 'representative': 27504007836, 'size': 2}
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id: 87881653
{'aut_label': '24E1', 'centralizer': '2.b1.a1', 'counter': 108, 'group_counter': 17, 'group_order': 4896, 'label': '24E-11', 'order': 24, 'powers': [57, 33, 103], 'representative': 19978035611, 'size': 2}
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id: 87881664
{'aut_label': '24F1', 'centralizer': '2.b1.a1', 'counter': 109, 'group_counter': 17, 'group_order': 4896, 'label': '24F1', 'order': 24, 'powers': [59, 37, 114], 'representative': 12520481073, 'size': 2}
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id: 87881676
{'aut_label': '24F1', 'centralizer': '2.b1.a1', 'counter': 110, 'group_counter': 17, 'group_order': 4896, 'label': '24F-1', 'order': 24, 'powers': [60, 38, 113], 'representative': 2599881333, 'size': 2}
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id: 87881687
{'aut_label': '24F1', 'centralizer': '2.b1.a1', 'counter': 111, 'group_counter': 17, 'group_order': 4896, 'label': '24F5', 'order': 24, 'powers': [57, 37, 116], 'representative': 8004898036, 'size': 2}
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id: 87881698
{'aut_label': '24F1', 'centralizer': '2.b1.a1', 'counter': 112, 'group_counter': 17, 'group_order': 4896, 'label': '24F-5', 'order': 24, 'powers': [58, 38, 115], 'representative': 478925881, 'size': 2}
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id: 87881709
{'aut_label': '24F1', 'centralizer': '2.b1.a1', 'counter': 113, 'group_counter': 17, 'group_order': 4896, 'label': '24F7', 'order': 24, 'powers': [58, 38, 110], 'representative': 27504007489, 'size': 2}
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id: 87881720
{'aut_label': '24F1', 'centralizer': '2.b1.a1', 'counter': 114, 'group_counter': 17, 'group_order': 4896, 'label': '24F-7', 'order': 24, 'powers': [57, 37, 109], 'representative': 19978035334, 'size': 2}
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id: 87881731
{'aut_label': '24F1', 'centralizer': '2.b1.a1', 'counter': 115, 'group_counter': 17, 'group_order': 4896, 'label': '24F11', 'order': 24, 'powers': [60, 38, 112], 'representative': 25383052037, 'size': 2}
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id: 87881742
{'aut_label': '24F1', 'centralizer': '2.b1.a1', 'counter': 116, 'group_counter': 17, 'group_order': 4896, 'label': '24F-11', 'order': 24, 'powers': [59, 37, 111], 'representative': 15462452297, 'size': 2}
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id: 87881753
{'aut_label': '24G1', 'centralizer': '6.j1.b1', 'counter': 117, 'group_counter': 17, 'group_order': 4896, 'label': '24G1', 'order': 24, 'powers': [43, 39, 119], 'representative': 11088399, 'size': 6}
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id: 87881764
{'aut_label': '24G1', 'centralizer': '6.j1.b1', 'counter': 118, 'group_counter': 17, 'group_order': 4896, 'label': '24G-1', 'order': 24, 'powers': [44, 40, 120], 'representative': 1183646, 'size': 6}
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id: 87881775
{'aut_label': '24G1', 'centralizer': '6.j1.b1', 'counter': 119, 'group_counter': 17, 'group_order': 4896, 'label': '24G5', 'order': 24, 'powers': [45, 39, 117], 'representative': 30752710, 'size': 6}
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id: 87881787
{'aut_label': '24G1', 'centralizer': '6.j1.b1', 'counter': 120, 'group_counter': 17, 'group_order': 4896, 'label': '24G-5', 'order': 24, 'powers': [46, 40, 118], 'representative': 63247760, 'size': 6}
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id: 87881798
{'aut_label': '24G1', 'centralizer': '6.j1.a1', 'counter': 121, 'group_counter': 17, 'group_order': 4896, 'label': '24H1', 'order': 24, 'powers': [44, 41, 123], 'representative': 57469817, 'size': 6}
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id: 87881809
{'aut_label': '24G1', 'centralizer': '6.j1.a1', 'counter': 122, 'group_counter': 17, 'group_order': 4896, 'label': '24H-1', 'order': 24, 'powers': [43, 42, 124], 'representative': 62215853, 'size': 6}
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id: 87881820
{'aut_label': '24G1', 'centralizer': '6.j1.a1', 'counter': 123, 'group_counter': 17, 'group_order': 4896, 'label': '24H5', 'order': 24, 'powers': [46, 41, 121], 'representative': 19712164, 'size': 6}
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id: 87881831
{'aut_label': '24G1', 'centralizer': '6.j1.a1', 'counter': 124, 'group_counter': 17, 'group_order': 4896, 'label': '24H-5', 'order': 24, 'powers': [45, 42, 122], 'representative': 63235081, 'size': 6}
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id: 87881842
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 125, 'group_counter': 17, 'group_order': 4896, 'label': '34A1', 'order': 34, 'powers': [65, 127, 2], 'representative': 4378747520, 'size': 1}
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id: 87881853
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 126, 'group_counter': 17, 'group_order': 4896, 'label': '34A-1', 'order': 34, 'powers': [66, 128, 2], 'representative': 10057435710, 'size': 1}
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id: 87881864
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 127, 'group_counter': 17, 'group_order': 4896, 'label': '34A3', 'order': 34, 'powers': [69, 133, 2], 'representative': 26272485120, 'size': 1}
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id: 87881875
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 128, 'group_counter': 17, 'group_order': 4896, 'label': '34A-3', 'order': 34, 'powers': [70, 134, 2], 'representative': 15667705970, 'size': 1}
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id: 87881886
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 129, 'group_counter': 17, 'group_order': 4896, 'label': '34A5', 'order': 34, 'powers': [73, 139, 2], 'representative': 17720243870, 'size': 1}
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id: 87881898
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 130, 'group_counter': 17, 'group_order': 4896, 'label': '34A-5', 'order': 34, 'powers': [74, 140, 2], 'representative': 25930395470, 'size': 1}
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id: 87881909
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 131, 'group_counter': 17, 'group_order': 4896, 'label': '34A7', 'order': 34, 'powers': [77, 138, 2], 'representative': 22372663110, 'size': 1}
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id: 87881920
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 132, 'group_counter': 17, 'group_order': 4896, 'label': '34A-7', 'order': 34, 'powers': [78, 137, 2], 'representative': 27640843720, 'size': 1}
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id: 87881931
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 133, 'group_counter': 17, 'group_order': 4896, 'label': '34A9', 'order': 34, 'powers': [80, 132, 2], 'representative': 22304245180, 'size': 1}
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id: 87881942
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 134, 'group_counter': 17, 'group_order': 4896, 'label': '34A-9', 'order': 34, 'powers': [79, 131, 2], 'representative': 23262096200, 'size': 1}
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id: 87881953
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 135, 'group_counter': 17, 'group_order': 4896, 'label': '34A11', 'order': 34, 'powers': [76, 126, 2], 'representative': 21893737600, 'size': 1}
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id: 87881964
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 136, 'group_counter': 17, 'group_order': 4896, 'label': '34A-11', 'order': 34, 'powers': [75, 125, 2], 'representative': 13204660490, 'size': 1}
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id: 87881975
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 137, 'group_counter': 17, 'group_order': 4896, 'label': '34A13', 'order': 34, 'powers': [72, 129, 2], 'representative': 19430692120, 'size': 1}
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id: 87881986
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 138, 'group_counter': 17, 'group_order': 4896, 'label': '34A-13', 'order': 34, 'powers': [71, 130, 2], 'representative': 25519887890, 'size': 1}
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id: 87881997
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 139, 'group_counter': 17, 'group_order': 4896, 'label': '34A15', 'order': 34, 'powers': [68, 135, 2], 'representative': 4652419240, 'size': 1}
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id: 87882009
{'aut_label': '34A1', 'centralizer': '1.a1.a1', 'counter': 140, 'group_counter': 17, 'group_order': 4896, 'label': '34A-15', 'order': 34, 'powers': [67, 136, 2], 'representative': 27572425790, 'size': 1}
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id: 87882020
{'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 141, 'group_counter': 17, 'group_order': 4896, 'label': '34B1', 'order': 34, 'powers': [65, 143, 3], 'representative': 23604185569, 'size': 2}
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id: 87882031
{'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 142, 'group_counter': 17, 'group_order': 4896, 'label': '34B-1', 'order': 34, 'powers': [66, 144, 3], 'representative': 17925497545, 'size': 2}
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id: 87882042
{'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 143, 'group_counter': 17, 'group_order': 4896, 'label': '34B3', 'order': 34, 'powers': [69, 149, 3], 'representative': 1710448609, 'size': 2}
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id: 87882053
{'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 144, 'group_counter': 17, 'group_order': 4896, 'label': '34B-3', 'order': 34, 'powers': [70, 150, 3], 'representative': 12315227449, 'size': 2}
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id: 87882064
{'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 145, 'group_counter': 17, 'group_order': 4896, 'label': '34B5', 'order': 34, 'powers': [73, 155, 3], 'representative': 10262689609, 'size': 2}
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id: 87882075
{'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 146, 'group_counter': 17, 'group_order': 4896, 'label': '34B-5', 'order': 34, 'powers': [74, 156, 3], 'representative': 2052538249, 'size': 2}
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id: 87882086
{'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 147, 'group_counter': 17, 'group_order': 4896, 'label': '34B7', 'order': 34, 'powers': [77, 154, 3], 'representative': 5610270505, 'size': 2}
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id: 87882097
{'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 148, 'group_counter': 17, 'group_order': 4896, 'label': '34B-7', 'order': 34, 'powers': [78, 153, 3], 'representative': 342090049, 'size': 2}
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id: 87882108
{'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 149, 'group_counter': 17, 'group_order': 4896, 'label': '34B9', 'order': 34, 'powers': [80, 148, 3], 'representative': 5678688433, 'size': 2}
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id: 87882120
{'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 150, 'group_counter': 17, 'group_order': 4896, 'label': '34B-9', 'order': 34, 'powers': [79, 147, 3], 'representative': 4720837441, 'size': 2}
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id: 87882131
{'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 151, 'group_counter': 17, 'group_order': 4896, 'label': '34B11', 'order': 34, 'powers': [76, 142, 3], 'representative': 6089196001, 'size': 2}
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id: 87882142
{'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 152, 'group_counter': 17, 'group_order': 4896, 'label': '34B-11', 'order': 34, 'powers': [75, 141, 3], 'representative': 14778272857, 'size': 2}
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id: 87882153
{'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 153, 'group_counter': 17, 'group_order': 4896, 'label': '34B13', 'order': 34, 'powers': [72, 145, 3], 'representative': 8552241409, 'size': 2}
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id: 87882164
{'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 154, 'group_counter': 17, 'group_order': 4896, 'label': '34B-13', 'order': 34, 'powers': [71, 146, 3], 'representative': 2463045817, 'size': 2}
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id: 87882175
{'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 155, 'group_counter': 17, 'group_order': 4896, 'label': '34B15', 'order': 34, 'powers': [68, 151, 3], 'representative': 23330513857, 'size': 2}
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id: 87882186
{'aut_label': '34B1', 'centralizer': '2.b1.a1', 'counter': 156, 'group_counter': 17, 'group_order': 4896, 'label': '34B-15', 'order': 34, 'powers': [67, 152, 3], 'representative': 410507977, 'size': 2}
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id: 87882197
{'aut_label': '34C1', 'centralizer': '6.j1.a1', 'counter': 157, 'group_counter': 17, 'group_order': 4896, 'label': '34C1', 'order': 34, 'powers': [80, 159, 4], 'representative': 64731612, 'size': 6}
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id: 87882208
{'aut_label': '34C1', 'centralizer': '6.j1.a1', 'counter': 158, 'group_counter': 17, 'group_order': 4896, 'label': '34C-1', 'order': 34, 'powers': [79, 160, 4], 'representative': 18299069, 'size': 6}
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id: 87882219
{'aut_label': '34C1', 'centralizer': '6.j1.a1', 'counter': 159, 'group_counter': 17, 'group_order': 4896, 'label': '34C3', 'order': 34, 'powers': [78, 165, 4], 'representative': 41041923, 'size': 6}
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id: 87882231
{'aut_label': '34C1', 'centralizer': '6.j1.a1', 'counter': 160, 'group_counter': 17, 'group_order': 4896, 'label': '34C-3', 'order': 34, 'powers': [77, 166, 4], 'representative': 56456315, 'size': 6}
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id: 87882242
{'aut_label': '34C1', 'centralizer': '6.j1.a1', 'counter': 161, 'group_counter': 17, 'group_order': 4896, 'label': '34C5', 'order': 34, 'powers': [76, 171, 4], 'representative': 45463622, 'size': 6}
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id: 87882253
{'aut_label': '34C1', 'centralizer': '6.j1.a1', 'counter': 162, 'group_counter': 17, 'group_order': 4896, 'label': '34C-5', 'order': 34, 'powers': [75, 172, 4], 'representative': 60120546, 'size': 6}
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id: 87882264
{'aut_label': '34C1', 'centralizer': '6.j1.a1', 'counter': 163, 'group_counter': 17, 'group_order': 4896, 'label': '34C7', 'order': 34, 'powers': [74, 170, 4], 'representative': 40663189, 'size': 6}
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id: 87882275
{'aut_label': '34C1', 'centralizer': '6.j1.a1', 'counter': 164, 'group_counter': 17, 'group_order': 4896, 'label': '34C-7', 'order': 34, 'powers': [73, 169, 4], 'representative': 66480087, 'size': 6}
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id: 87882286
{'aut_label': '34C1', 'centralizer': '6.j1.a1', 'counter': 165, 'group_counter': 17, 'group_order': 4896, 'label': '34C9', 'order': 34, 'powers': [72, 164, 4], 'representative': 66858821, 'size': 6}
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id: 87882297
{'aut_label': '34C1', 'centralizer': '6.j1.a1', 'counter': 166, 'group_counter': 17, 'group_order': 4896, 'label': '34C-9', 'order': 34, 'powers': [71, 163, 4], 'representative': 21562480, 'size': 6}
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id: 87882308
{'aut_label': '34C1', 'centralizer': '6.j1.a1', 'counter': 167, 'group_counter': 17, 'group_order': 4896, 'label': '34C11', 'order': 34, 'powers': [70, 158, 4], 'representative': 38725347, 'size': 6}
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id: 87882319
{'aut_label': '34C1', 'centralizer': '6.j1.a1', 'counter': 168, 'group_counter': 17, 'group_order': 4896, 'label': '34C-11', 'order': 34, 'powers': [69, 157, 4], 'representative': 68206476, 'size': 6}
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id: 87882330
{'aut_label': '34C1', 'centralizer': '6.j1.a1', 'counter': 169, 'group_counter': 17, 'group_order': 4896, 'label': '34C13', 'order': 34, 'powers': [68, 161, 4], 'representative': 58394157, 'size': 6}
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id: 87882342
{'aut_label': '34C1', 'centralizer': '6.j1.a1', 'counter': 170, 'group_counter': 17, 'group_order': 4896, 'label': '34C-13', 'order': 34, 'powers': [67, 162, 4], 'representative': 49317220, 'size': 6}
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id: 87882353
{'aut_label': '34C1', 'centralizer': '6.j1.a1', 'counter': 171, 'group_counter': 17, 'group_order': 4896, 'label': '34C15', 'order': 34, 'powers': [66, 167, 4], 'representative': 26763733, 'size': 6}
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id: 87882364
{'aut_label': '34C1', 'centralizer': '6.j1.a1', 'counter': 172, 'group_counter': 17, 'group_order': 4896, 'label': '34C-15', 'order': 34, 'powers': [65, 168, 4], 'representative': 22910135, 'size': 6}
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id: 87882375
{'aut_label': '34C1', 'centralizer': '6.j1.b1', 'counter': 173, 'group_counter': 17, 'group_order': 4896, 'label': '34D1', 'order': 34, 'powers': [65, 175, 5], 'representative': 10732160, 'size': 6}
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id: 87882386
{'aut_label': '34C1', 'centralizer': '6.j1.b1', 'counter': 174, 'group_counter': 17, 'group_order': 4896, 'label': '34D-1', 'order': 34, 'powers': [66, 176, 5], 'representative': 24650430, 'size': 6}
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id: 87882397
{'aut_label': '34C1', 'centralizer': '6.j1.b1', 'counter': 175, 'group_counter': 17, 'group_order': 4896, 'label': '34D3', 'order': 34, 'powers': [69, 181, 5], 'representative': 64392960, 'size': 6}
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id: 87882408
{'aut_label': '34C1', 'centralizer': '6.j1.b1', 'counter': 176, 'group_counter': 17, 'group_order': 4896, 'label': '34D-3', 'order': 34, 'powers': [70, 182, 5], 'representative': 38401010, 'size': 6}
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id: 87882419
{'aut_label': '34C1', 'centralizer': '6.j1.b1', 'counter': 177, 'group_counter': 17, 'group_order': 4896, 'label': '34D5', 'order': 34, 'powers': [73, 187, 5], 'representative': 43431710, 'size': 6}
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id: 87882430
{'aut_label': '34C1', 'centralizer': '6.j1.b1', 'counter': 178, 'group_counter': 17, 'group_order': 4896, 'label': '34D-5', 'order': 34, 'powers': [74, 188, 5], 'representative': 63554510, 'size': 6}
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id: 87882441
{'aut_label': '34C1', 'centralizer': '6.j1.b1', 'counter': 179, 'group_counter': 17, 'group_order': 4896, 'label': '34D7', 'order': 34, 'powers': [77, 186, 5], 'representative': 54834630, 'size': 6}
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id: 87882453
{'aut_label': '34C1', 'centralizer': '6.j1.b1', 'counter': 180, 'group_counter': 17, 'group_order': 4896, 'label': '34D-7', 'order': 34, 'powers': [78, 185, 5], 'representative': 67746760, 'size': 6}
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id: 87882464
{'aut_label': '34C1', 'centralizer': '6.j1.b1', 'counter': 181, 'group_counter': 17, 'group_order': 4896, 'label': '34D9', 'order': 34, 'powers': [80, 180, 5], 'representative': 54666940, 'size': 6}
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id: 87882475
{'aut_label': '34C1', 'centralizer': '6.j1.b1', 'counter': 182, 'group_counter': 17, 'group_order': 4896, 'label': '34D-9', 'order': 34, 'powers': [79, 179, 5], 'representative': 57014600, 'size': 6}
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id: 87882486
{'aut_label': '34C1', 'centralizer': '6.j1.b1', 'counter': 183, 'group_counter': 17, 'group_order': 4896, 'label': '34D11', 'order': 34, 'powers': [76, 174, 5], 'representative': 53660800, 'size': 6}
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id: 87882494
{'aut_label': '34C1', 'centralizer': '6.j1.b1', 'counter': 184, 'group_counter': 17, 'group_order': 4896, 'label': '34D-11', 'order': 34, 'powers': [75, 173, 5], 'representative': 32364170, 'size': 6}
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id: 87882495
{'aut_label': '34C1', 'centralizer': '6.j1.b1', 'counter': 185, 'group_counter': 17, 'group_order': 4896, 'label': '34D13', 'order': 34, 'powers': [72, 177, 5], 'representative': 47623960, 'size': 6}
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id: 87882496
{'aut_label': '34C1', 'centralizer': '6.j1.b1', 'counter': 186, 'group_counter': 17, 'group_order': 4896, 'label': '34D-13', 'order': 34, 'powers': [71, 178, 5], 'representative': 62548370, 'size': 6}
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id: 87882497
{'aut_label': '34C1', 'centralizer': '6.j1.b1', 'counter': 187, 'group_counter': 17, 'group_order': 4896, 'label': '34D15', 'order': 34, 'powers': [68, 183, 5], 'representative': 11402920, 'size': 6}
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id: 87882498
{'aut_label': '34C1', 'centralizer': '6.j1.b1', 'counter': 188, 'group_counter': 17, 'group_order': 4896, 'label': '34D-15', 'order': 34, 'powers': [67, 184, 5], 'representative': 67579070, 'size': 6}
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id: 87882499
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 189, 'group_counter': 17, 'group_order': 4896, 'label': '51A1', 'order': 51, 'powers': [191, 65, 6], 'representative': 1094686880, 'size': 1}
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id: 87882501
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id: 87882502
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 191, 'group_counter': 17, 'group_order': 4896, 'label': '51A2', 'order': 51, 'powers': [193, 67, 7], 'representative': 17514990080, 'size': 1}
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id: 87882503
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 192, 'group_counter': 17, 'group_order': 4896, 'label': '51A-2', 'order': 51, 'powers': [194, 68, 6], 'representative': 9510092270, 'size': 1}
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id: 87882504
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 193, 'group_counter': 17, 'group_order': 4896, 'label': '51A4', 'order': 51, 'powers': [199, 71, 6], 'representative': 6568121280, 'size': 1}
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id: 87882505
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 194, 'group_counter': 17, 'group_order': 4896, 'label': '51A-4', 'order': 51, 'powers': [200, 72, 7], 'representative': 6704957140, 'size': 1}
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id: 87882506
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 195, 'group_counter': 17, 'group_order': 4896, 'label': '51A5', 'order': 51, 'powers': [201, 73, 7], 'representative': 21141140370, 'size': 1}
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id: 87882507
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 196, 'group_counter': 17, 'group_order': 4896, 'label': '51A-5', 'order': 51, 'powers': [202, 74, 6], 'representative': 24904126520, 'size': 1}
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id: 87882508
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 197, 'group_counter': 17, 'group_order': 4896, 'label': '51A7', 'order': 51, 'powers': [207, 77, 6], 'representative': 11425794310, 'size': 1}
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id: 87882509
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 198, 'group_counter': 17, 'group_order': 4896, 'label': '51A-7', 'order': 51, 'powers': [208, 78, 7], 'representative': 19772781770, 'size': 1}
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id: 87882510
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 199, 'group_counter': 17, 'group_order': 4896, 'label': '51A8', 'order': 51, 'powers': [209, 79, 7], 'representative': 14915108740, 'size': 1}
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id: 87882513
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 200, 'group_counter': 17, 'group_order': 4896, 'label': '51A-8', 'order': 51, 'powers': [210, 80, 6], 'representative': 13478332210, 'size': 1}
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id: 87882514
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 201, 'group_counter': 17, 'group_order': 4896, 'label': '51A10', 'order': 51, 'powers': [213, 78, 6], 'representative': 12588899120, 'size': 1}
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id: 87882515
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 202, 'group_counter': 17, 'group_order': 4896, 'label': '51A-10', 'order': 51, 'powers': [214, 77, 7], 'representative': 26614574770, 'size': 1}
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id: 87882516
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 203, 'group_counter': 17, 'group_order': 4896, 'label': '51A11', 'order': 51, 'powers': [215, 76, 7], 'representative': 5541852330, 'size': 1}
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id: 87882517
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 204, 'group_counter': 17, 'group_order': 4896, 'label': '51A-11', 'order': 51, 'powers': [216, 75, 6], 'representative': 6910210930, 'size': 1}
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id: 87882518
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 205, 'group_counter': 17, 'group_order': 4896, 'label': '51A13', 'order': 51, 'powers': [220, 72, 6], 'representative': 19567527980, 'size': 1}
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id: 87882519
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 206, 'group_counter': 17, 'group_order': 4896, 'label': '51A-13', 'order': 51, 'powers': [219, 71, 7], 'representative': 9099584690, 'size': 1}
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id: 87882520
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 207, 'group_counter': 17, 'group_order': 4896, 'label': '51A14', 'order': 51, 'powers': [218, 70, 7], 'representative': 5268180610, 'size': 1}
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id: 87882521
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 208, 'group_counter': 17, 'group_order': 4896, 'label': '51A-14', 'order': 51, 'powers': [217, 69, 6], 'representative': 5815524050, 'size': 1}
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id: 87882522
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 209, 'group_counter': 17, 'group_order': 4896, 'label': '51A16', 'order': 51, 'powers': [212, 66, 6], 'representative': 5473434400, 'size': 1}
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id: 87882524
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 210, 'group_counter': 17, 'group_order': 4896, 'label': '51A-16', 'order': 51, 'powers': [211, 65, 7], 'representative': 24835708590, 'size': 1}
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id: 87882525
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 211, 'group_counter': 17, 'group_order': 4896, 'label': '51A19', 'order': 51, 'powers': [206, 67, 6], 'representative': 4857673030, 'size': 1}
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id: 87882526
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 212, 'group_counter': 17, 'group_order': 4896, 'label': '51A-19', 'order': 51, 'powers': [205, 68, 7], 'representative': 18130751450, 'size': 1}
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id: 87882527
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 213, 'group_counter': 17, 'group_order': 4896, 'label': '51A20', 'order': 51, 'powers': [204, 69, 7], 'representative': 21756901740, 'size': 1}
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id: 87882528
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 214, 'group_counter': 17, 'group_order': 4896, 'label': '51A-20', 'order': 51, 'powers': [203, 70, 6], 'representative': 27367172000, 'size': 1}
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id: 87882529
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 215, 'group_counter': 17, 'group_order': 4896, 'label': '51A22', 'order': 51, 'powers': [198, 73, 6], 'representative': 1163104810, 'size': 1}
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id: 87882530
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 216, 'group_counter': 17, 'group_order': 4896, 'label': '51A-22', 'order': 51, 'powers': [197, 74, 7], 'representative': 26340903050, 'size': 1}
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id: 87882531
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 217, 'group_counter': 17, 'group_order': 4896, 'label': '51A23', 'order': 51, 'powers': [196, 75, 7], 'representative': 18609676960, 'size': 1}
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id: 87882532
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 218, 'group_counter': 17, 'group_order': 4896, 'label': '51A-23', 'order': 51, 'powers': [195, 76, 6], 'representative': 13888839790, 'size': 1}
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id: 87882533
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 219, 'group_counter': 17, 'group_order': 4896, 'label': '51A25', 'order': 51, 'powers': [190, 79, 6], 'representative': 6978628860, 'size': 1}
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id: 87882535
{'aut_label': '51A1', 'centralizer': '1.a1.a1', 'counter': 220, 'group_counter': 17, 'group_order': 4896, 'label': '51A-25', 'order': 51, 'powers': [189, 80, 7], 'representative': 27709261650, 'size': 1}
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id: 87882536
{'aut_label': '51B1', 'centralizer': '2.b1.a1', 'counter': 221, 'group_counter': 17, 'group_order': 4896, 'label': '51B1', 'order': 51, 'powers': [223, 65, 8], 'representative': 24835708243, 'size': 2}
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id: 87882537
{'aut_label': '51B1', 'centralizer': '2.b1.a1', 'counter': 222, 'group_counter': 17, 'group_order': 4896, 'label': '51B-1', 'order': 51, 'powers': [224, 66, 8], 'representative': 5473434499, 'size': 2}
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id: 87882538
{'aut_label': '51B1', 'centralizer': '2.b1.a1', 'counter': 223, 'group_counter': 17, 'group_order': 4896, 'label': '51B2', 'order': 51, 'powers': [225, 67, 8], 'representative': 4857673215, 'size': 2}
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id: 87882539
{'aut_label': '51B1', 'centralizer': '2.b1.a1', 'counter': 224, 'group_counter': 17, 'group_order': 4896, 'label': '51B-2', 'order': 51, 'powers': [226, 68, 8], 'representative': 18130751324, 'size': 2}
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id: 87882540
{'aut_label': '51B1', 'centralizer': '2.b1.a1', 'counter': 225, 'group_counter': 17, 'group_order': 4896, 'label': '51B4', 'order': 51, 'powers': [231, 71, 8], 'representative': 9099584653, 'size': 2}
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id: 87882541
{'aut_label': '51B1', 'centralizer': '2.b1.a1', 'counter': 226, 'group_counter': 17, 'group_order': 4896, 'label': '51B-4', 'order': 51, 'powers': [232, 72, 8], 'representative': 19567527792, 'size': 2}
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id: 87882542
{'aut_label': '51B1', 'centralizer': '2.b1.a1', 'counter': 227, 'group_counter': 17, 'group_order': 4896, 'label': '51B5', 'order': 51, 'powers': [230, 73, 8], 'representative': 1163105102, 'size': 2}
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id: 87882543
{'aut_label': '51B1', 'centralizer': '2.b1.a1', 'counter': 228, 'group_counter': 17, 'group_order': 4896, 'label': '51B-5', 'order': 51, 'powers': [229, 74, 8], 'representative': 26340903029, 'size': 2}
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id: 87882544
{'aut_label': '51B1', 'centralizer': '2.b1.a1', 'counter': 229, 'group_counter': 17, 'group_order': 4896, 'label': '51B7', 'order': 51, 'powers': [235, 77, 8], 'representative': 26614574548, 'size': 2}
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id: 87882546
{'aut_label': '51B1', 'centralizer': '2.b1.a1', 'counter': 230, 'group_counter': 17, 'group_order': 4896, 'label': '51B-7', 'order': 51, 'powers': [236, 78, 8], 'representative': 12588899225, 'size': 2}
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id: 87882547
{'aut_label': '51B1', 'centralizer': '2.b1.a1', 'counter': 231, 'group_counter': 17, 'group_order': 4896, 'label': '51B8', 'order': 51, 'powers': [222, 79, 8], 'representative': 6978628976, 'size': 2}
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id: 87882548
{'aut_label': '51B1', 'centralizer': '2.b1.a1', 'counter': 232, 'group_counter': 17, 'group_order': 4896, 'label': '51B-8', 'order': 51, 'powers': [221, 80, 8], 'representative': 27709261442, 'size': 2}
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id: 87882549
{'aut_label': '51B1', 'centralizer': '2.b1.a1', 'counter': 233, 'group_counter': 17, 'group_order': 4896, 'label': '51B11', 'order': 51, 'powers': [227, 76, 8], 'representative': 13888839668, 'size': 2}
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id: 87882550
{'aut_label': '51B1', 'centralizer': '2.b1.a1', 'counter': 234, 'group_counter': 17, 'group_order': 4896, 'label': '51B-11', 'order': 51, 'powers': [228, 75, 8], 'representative': 18609676789, 'size': 2}
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id: 87882551
{'aut_label': '51B1', 'centralizer': '2.b1.a1', 'counter': 235, 'group_counter': 17, 'group_order': 4896, 'label': '51B14', 'order': 51, 'powers': [233, 70, 8], 'representative': 27367171677, 'size': 2}
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id: 87882552
{'aut_label': '51B1', 'centralizer': '2.b1.a1', 'counter': 236, 'group_counter': 17, 'group_order': 4896, 'label': '51B-14', 'order': 51, 'powers': [234, 69, 8], 'representative': 21756901507, 'size': 2}
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id: 87882553
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 237, 'group_counter': 17, 'group_order': 4896, 'label': '51C1', 'order': 51, 'powers': [239, 65, 9], 'representative': 2052537886, 'size': 2}
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id: 87882554
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 238, 'group_counter': 17, 'group_order': 4896, 'label': '51C-1', 'order': 51, 'powers': [240, 66, 10], 'representative': 10262689529, 'size': 2}
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id: 87882555
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 239, 'group_counter': 17, 'group_order': 4896, 'label': '51C2', 'order': 51, 'powers': [241, 67, 10], 'representative': 5610270434, 'size': 2}
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id: 87882557
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 240, 'group_counter': 17, 'group_order': 4896, 'label': '51C-2', 'order': 51, 'powers': [242, 68, 9], 'representative': 342089784, 'size': 2}
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id: 87882558
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 241, 'group_counter': 17, 'group_order': 4896, 'label': '51C4', 'order': 51, 'powers': [247, 71, 9], 'representative': 12315227316, 'size': 2}
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id: 87882559
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 242, 'group_counter': 17, 'group_order': 4896, 'label': '51C-4', 'order': 51, 'powers': [248, 72, 10], 'representative': 1710448323, 'size': 2}
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id: 87882560
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 243, 'group_counter': 17, 'group_order': 4896, 'label': '51C5', 'order': 51, 'powers': [249, 73, 10], 'representative': 5678688416, 'size': 2}
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id: 87882561
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 244, 'group_counter': 17, 'group_order': 4896, 'label': '51C-5', 'order': 51, 'powers': [250, 74, 9], 'representative': 4720837465, 'size': 2}
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id: 87882562
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 245, 'group_counter': 17, 'group_order': 4896, 'label': '51C7', 'order': 51, 'powers': [255, 77, 9], 'representative': 17925497565, 'size': 2}
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id: 87882563
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 246, 'group_counter': 17, 'group_order': 4896, 'label': '51C-7', 'order': 51, 'powers': [256, 78, 10], 'representative': 23604185794, 'size': 2}
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id: 87882564
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 247, 'group_counter': 17, 'group_order': 4896, 'label': '51C8', 'order': 51, 'powers': [257, 79, 10], 'representative': 6089195899, 'size': 2}
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id: 87882565
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 248, 'group_counter': 17, 'group_order': 4896, 'label': '51C-8', 'order': 51, 'powers': [258, 80, 9], 'representative': 14778272861, 'size': 2}
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id: 87882566
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 249, 'group_counter': 17, 'group_order': 4896, 'label': '51C10', 'order': 51, 'powers': [261, 78, 9], 'representative': 23604185689, 'size': 2}
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id: 87882568
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 250, 'group_counter': 17, 'group_order': 4896, 'label': '51C-10', 'order': 51, 'powers': [262, 77, 10], 'representative': 17925497787, 'size': 2}
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id: 87882569
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 251, 'group_counter': 17, 'group_order': 4896, 'label': '51C11', 'order': 51, 'powers': [263, 76, 10], 'representative': 8552241206, 'size': 2}
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id: 87882570
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 252, 'group_counter': 17, 'group_order': 4896, 'label': '51C-11', 'order': 51, 'powers': [264, 75, 9], 'representative': 2463045545, 'size': 2}
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id: 87882571
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 253, 'group_counter': 17, 'group_order': 4896, 'label': '51C13', 'order': 51, 'powers': [268, 72, 9], 'representative': 1710448511, 'size': 2}
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id: 87882572
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 254, 'group_counter': 17, 'group_order': 4896, 'label': '51C-13', 'order': 51, 'powers': [267, 71, 10], 'representative': 12315227353, 'size': 2}
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id: 87882573
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 255, 'group_counter': 17, 'group_order': 4896, 'label': '51C14', 'order': 51, 'powers': [266, 70, 10], 'representative': 23330513866, 'size': 2}
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id: 87882574
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 256, 'group_counter': 17, 'group_order': 4896, 'label': '51C-14', 'order': 51, 'powers': [265, 69, 9], 'representative': 410507659, 'size': 2}
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id: 87882575
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 257, 'group_counter': 17, 'group_order': 4896, 'label': '51C16', 'order': 51, 'powers': [260, 66, 9], 'representative': 10262689430, 'size': 2}
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id: 87882576
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 258, 'group_counter': 17, 'group_order': 4896, 'label': '51C-16', 'order': 51, 'powers': [259, 65, 10], 'representative': 2052538233, 'size': 2}
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id: 87882577
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 259, 'group_counter': 17, 'group_order': 4896, 'label': '51C19', 'order': 51, 'powers': [254, 67, 9], 'representative': 5610270249, 'size': 2}
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id: 87882579
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 260, 'group_counter': 17, 'group_order': 4896, 'label': '51C-19', 'order': 51, 'powers': [253, 68, 10], 'representative': 342089910, 'size': 2}
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id: 87882580
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 261, 'group_counter': 17, 'group_order': 4896, 'label': '51C20', 'order': 51, 'powers': [252, 69, 10], 'representative': 410507892, 'size': 2}
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id: 87882581
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 262, 'group_counter': 17, 'group_order': 4896, 'label': '51C-20', 'order': 51, 'powers': [251, 70, 9], 'representative': 23330514189, 'size': 2}
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id: 87882582
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 263, 'group_counter': 17, 'group_order': 4896, 'label': '51C22', 'order': 51, 'powers': [246, 73, 9], 'representative': 5678688124, 'size': 2}
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id: 87882583
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 264, 'group_counter': 17, 'group_order': 4896, 'label': '51C-22', 'order': 51, 'powers': [245, 74, 10], 'representative': 4720837486, 'size': 2}
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id: 87882584
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 265, 'group_counter': 17, 'group_order': 4896, 'label': '51C23', 'order': 51, 'powers': [244, 75, 10], 'representative': 2463045716, 'size': 2}
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id: 87882585
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 266, 'group_counter': 17, 'group_order': 4896, 'label': '51C-23', 'order': 51, 'powers': [243, 76, 9], 'representative': 8552241328, 'size': 2}
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id: 87882586
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 267, 'group_counter': 17, 'group_order': 4896, 'label': '51C25', 'order': 51, 'powers': [238, 79, 9], 'representative': 6089195783, 'size': 2}
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id: 87882587
{'aut_label': '51C1', 'centralizer': '2.b1.a1', 'counter': 268, 'group_counter': 17, 'group_order': 4896, 'label': '51C-25', 'order': 51, 'powers': [237, 80, 10], 'representative': 14778273069, 'size': 2}
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id: 87882588
{'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 269, 'group_counter': 17, 'group_order': 4896, 'label': '68A1', 'order': 68, 'powers': [129, 271, 11], 'representative': 3284060640, 'size': 1}
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id: 87882590
{'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 270, 'group_counter': 17, 'group_order': 4896, 'label': '68A-1', 'order': 68, 'powers': [130, 272, 12], 'representative': 13409914280, 'size': 1}
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id: 87882591
{'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 271, 'group_counter': 17, 'group_order': 4896, 'label': '68A3', 'order': 68, 'powers': [139, 277, 12], 'representative': 11083704660, 'size': 1}
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id: 87882592
{'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 272, 'group_counter': 17, 'group_order': 4896, 'label': '68A-3', 'order': 68, 'powers': [140, 278, 11], 'representative': 17446572150, 'size': 1}
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id: 87882593
{'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 273, 'group_counter': 17, 'group_order': 4896, 'label': '68A5', 'order': 68, 'powers': [134, 283, 11], 'representative': 16420303200, 'size': 1}
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id: 87882594
{'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 274, 'group_counter': 17, 'group_order': 4896, 'label': '68A-5', 'order': 68, 'powers': [133, 284, 12], 'representative': 8278569530, 'size': 1}
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id: 87882595
{'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 275, 'group_counter': 17, 'group_order': 4896, 'label': '68A7', 'order': 68, 'powers': [125, 287, 12], 'representative': 27435589930, 'size': 1}
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id: 87882596
{'aut_label': '68A1', 'centralizer': '1.a1.a1', 'counter': 276, 'group_counter': 17, 'group_order': 4896, 'label': '68A-7', 'order': 68, 'powers': [126, 288, 11], 'representative': 3489314430, 'size': 1}
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id: 87882597
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id: 87882598
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id: 87882599
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id: 87882601
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id: 87882602
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id: 87882603
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id: 87882604
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id: 87882605
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id: 87882606
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id: 87882607
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id: 87882608
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id: 87882609
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id: 87882610
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id: 87882612
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id: 87882613
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id: 87882614
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id: 87882615
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id: 87882616
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id: 87882617
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id: 87882618
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id: 87882619
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id: 87882620
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id: 87882621
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id: 87882624
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id: 87882625
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id: 87882626
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id: 87882627
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id: 87882628
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id: 87882629
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id: 87882630
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id: 87882631
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id: 87882632
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id: 87882633
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id: 87882635
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id: 87882636
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id: 87882637
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id: 87882638
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id: 87882639
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id: 87882640
{'aut_label': '68B1', 'centralizer': '2.b1.a1', 'counter': 315, 'group_counter': 17, 'group_order': 4896, 'label': '68B15', 'order': 68, 'powers': [139, 311, 13], 'representative': 16899228625, 'size': 2}
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id: 87882641
{'aut_label': '68B1', 'centralizer': '2.b1.a1', 'counter': 316, 'group_counter': 17, 'group_order': 4896, 'label': '68B-15', 'order': 68, 'powers': [140, 312, 13], 'representative': 10536361321, 'size': 2}
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id: 87882642
{'aut_label': '68C1', 'centralizer': '6.j1.b1', 'counter': 317, 'group_counter': 17, 'group_order': 4896, 'label': '68C1', 'order': 68, 'powers': [125, 319, 14], 'representative': 1341520, 'size': 6}
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id: 87882643
{'aut_label': '68C1', 'centralizer': '6.j1.b1', 'counter': 318, 'group_counter': 17, 'group_order': 4896, 'label': '68C-1', 'order': 68, 'powers': [126, 320, 14], 'representative': 60033020, 'size': 6}
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id: 87882644
{'aut_label': '68C1', 'centralizer': '6.j1.b1', 'counter': 319, 'group_counter': 17, 'group_order': 4896, 'label': '68C3', 'order': 68, 'powers': [127, 325, 14], 'representative': 17272070, 'size': 6}
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id: 87882646
{'aut_label': '68C1', 'centralizer': '6.j1.b1', 'counter': 320, 'group_counter': 17, 'group_order': 4896, 'label': '68C-3', 'order': 68, 'powers': [128, 326, 14], 'representative': 45947060, 'size': 6}
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id: 87882647
{'aut_label': '68C1', 'centralizer': '6.j1.b1', 'counter': 321, 'group_counter': 17, 'group_order': 4896, 'label': '68C5', 'order': 68, 'powers': [129, 331, 14], 'representative': 8049120, 'size': 6}
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id: 87882648
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id: 87882649
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id: 87882650
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id: 87882651
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id: 87882652
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id: 87882653
{'aut_label': '68C1', 'centralizer': '6.j1.b1', 'counter': 327, 'group_counter': 17, 'group_order': 4896, 'label': '68C11', 'order': 68, 'powers': [135, 318, 14], 'representative': 4527630, 'size': 6}
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id: 87882654
{'aut_label': '68C1', 'centralizer': '6.j1.b1', 'counter': 328, 'group_counter': 17, 'group_order': 4896, 'label': '68C-11', 'order': 68, 'powers': [136, 317, 14], 'representative': 50810070, 'size': 6}
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id: 87882655
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id: 87882657
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id: 87882658
{'aut_label': '68C1', 'centralizer': '6.j1.b1', 'counter': 331, 'group_counter': 17, 'group_order': 4896, 'label': '68C15', 'order': 68, 'powers': [139, 327, 14], 'representative': 27165780, 'size': 6}
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id: 87882659
{'aut_label': '68C1', 'centralizer': '6.j1.b1', 'counter': 332, 'group_counter': 17, 'group_order': 4896, 'label': '68C-15', 'order': 68, 'powers': [140, 328, 14], 'representative': 42760950, 'size': 6}
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id: 87882660
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id: 87882661
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id: 87882662
{'aut_label': '68C1', 'centralizer': '6.j1.a1', 'counter': 335, 'group_counter': 17, 'group_order': 4896, 'label': '68D3', 'order': 68, 'powers': [136, 341, 15], 'representative': 16443845, 'size': 6}
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id: 87882663
{'aut_label': '68C1', 'centralizer': '6.j1.a1', 'counter': 336, 'group_counter': 17, 'group_order': 4896, 'label': '68D-3', 'order': 68, 'powers': [135, 342, 15], 'representative': 46208820, 'size': 6}
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id: 87882664
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id: 87882665
{'aut_label': '68C1', 'centralizer': '6.j1.a1', 'counter': 338, 'group_counter': 17, 'group_order': 4896, 'label': '68D-5', 'order': 68, 'powers': [131, 348, 15], 'representative': 60883740, 'size': 6}
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id: 87882666
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id: 87882668
{'aut_label': '68C1', 'centralizer': '6.j1.a1', 'counter': 340, 'group_counter': 17, 'group_order': 4896, 'label': '68D-7', 'order': 68, 'powers': [127, 345, 15], 'representative': 24145315, 'size': 6}
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id: 87882669
{'aut_label': '68C1', 'centralizer': '6.j1.a1', 'counter': 341, 'group_counter': 17, 'group_order': 4896, 'label': '68D9', 'order': 68, 'powers': [125, 340, 15], 'representative': 16735053, 'size': 6}
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id: 87882670
{'aut_label': '68C1', 'centralizer': '6.j1.a1', 'counter': 342, 'group_counter': 17, 'group_order': 4896, 'label': '68D-9', 'order': 68, 'powers': [126, 339, 15], 'representative': 64421590, 'size': 6}
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id: 87882671
{'aut_label': '68C1', 'centralizer': '6.j1.a1', 'counter': 343, 'group_counter': 17, 'group_order': 4896, 'label': '68D11', 'order': 68, 'powers': [129, 334, 15], 'representative': 36592821, 'size': 6}
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id: 87882672
{'aut_label': '68C1', 'centralizer': '6.j1.a1', 'counter': 344, 'group_counter': 17, 'group_order': 4896, 'label': '68D-11', 'order': 68, 'powers': [130, 333, 15], 'representative': 749697, 'size': 6}
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id: 87882673
{'aut_label': '68C1', 'centralizer': '6.j1.a1', 'counter': 345, 'group_counter': 17, 'group_order': 4896, 'label': '68D13', 'order': 68, 'powers': [133, 337, 15], 'representative': 54951195, 'size': 6}
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id: 87882674
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id: 87882675
{'aut_label': '68C1', 'centralizer': '6.j1.a1', 'counter': 347, 'group_counter': 17, 'group_order': 4896, 'label': '68D15', 'order': 68, 'powers': [137, 343, 15], 'representative': 12884318, 'size': 6}
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id: 87882676
{'aut_label': '68C1', 'centralizer': '6.j1.a1', 'counter': 348, 'group_counter': 17, 'group_order': 4896, 'label': '68D-15', 'order': 68, 'powers': [138, 344, 15], 'representative': 15257336, 'size': 6}
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id: 87882677
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id: 87882679
{'aut_label': '102A1', 'centralizer': '1.a1.a1', 'counter': 350, 'group_counter': 17, 'group_order': 4896, 'label': '102A-1', 'order': 102, 'powers': [190, 126, 17], 'representative': 21004304510, 'size': 1}
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id: 87882680
{'aut_label': '102A1', 'centralizer': '1.a1.a1', 'counter': 351, 'group_counter': 17, 'group_order': 4896, 'label': '102A5', 'order': 102, 'powers': [195, 129, 17], 'representative': 14094093580, 'size': 1}
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id: 87882681
{'aut_label': '102A1', 'centralizer': '1.a1.a1', 'counter': 352, 'group_counter': 17, 'group_order': 4896, 'label': '102A-5', 'order': 102, 'powers': [196, 130, 16], 'representative': 9373256410, 'size': 1}
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id: 87882682
{'aut_label': '102A1', 'centralizer': '1.a1.a1', 'counter': 353, 'group_counter': 17, 'group_order': 4896, 'label': '102A7', 'order': 102, 'powers': [197, 131, 16], 'representative': 1642030320, 'size': 1}
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id: 87882683
{'aut_label': '102A1', 'centralizer': '1.a1.a1', 'counter': 354, 'group_counter': 17, 'group_order': 4896, 'label': '102A-7', 'order': 102, 'powers': [198, 132, 17], 'representative': 26819828560, 'size': 1}
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id: 87882684
{'aut_label': '102A1', 'centralizer': '1.a1.a1', 'counter': 355, 'group_counter': 17, 'group_order': 4896, 'label': '102A11', 'order': 102, 'powers': [203, 135, 17], 'representative': 615761370, 'size': 1}
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id: 87882685
{'aut_label': '102A1', 'centralizer': '1.a1.a1', 'counter': 356, 'group_counter': 17, 'group_order': 4896, 'label': '102A-11', 'order': 102, 'powers': [204, 136, 16], 'representative': 6226031630, 'size': 1}
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id: 87882686
{'aut_label': '102A1', 'centralizer': '1.a1.a1', 'counter': 357, 'group_counter': 17, 'group_order': 4896, 'label': '102A13', 'order': 102, 'powers': [205, 137, 16], 'representative': 9852181920, 'size': 1}
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id: 87882687
{'aut_label': '102A1', 'centralizer': '1.a1.a1', 'counter': 358, 'group_counter': 17, 'group_order': 4896, 'label': '102A-13', 'order': 102, 'powers': [206, 138, 17], 'representative': 23125260340, 'size': 1}
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id: 87882688
{'aut_label': '102A1', 'centralizer': '1.a1.a1', 'counter': 359, 'group_counter': 17, 'group_order': 4896, 'label': '102A19', 'order': 102, 'powers': [211, 140, 16], 'representative': 3147224780, 'size': 1}
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id: 87882690
{'aut_label': '102A1', 'centralizer': '1.a1.a1', 'counter': 360, 'group_counter': 17, 'group_order': 4896, 'label': '102A-19', 'order': 102, 'powers': [212, 139, 17], 'representative': 22509498970, 'size': 1}
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id: 87882691
{'aut_label': '102A1', 'centralizer': '1.a1.a1', 'counter': 361, 'group_counter': 17, 'group_order': 4896, 'label': '102A23', 'order': 102, 'powers': [217, 136, 17], 'representative': 22167409320, 'size': 1}
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id: 87882692
{'aut_label': '102A1', 'centralizer': '1.a1.a1', 'counter': 362, 'group_counter': 17, 'group_order': 4896, 'label': '102A-23', 'order': 102, 'powers': [218, 135, 16], 'representative': 22714752760, 'size': 1}
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id: 87882693
{'aut_label': '102A1', 'centralizer': '1.a1.a1', 'counter': 363, 'group_counter': 17, 'group_order': 4896, 'label': '102A25', 'order': 102, 'powers': [219, 134, 16], 'representative': 18883348680, 'size': 1}
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id: 87882694
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id: 87882695
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id: 87882696
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id: 87882697
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id: 87882698
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id: 87882699
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id: 87882701
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id: 87882702
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id: 87882703
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id: 87882704
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id: 87882705
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id: 87882706
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id: 87882707
{'aut_label': '102A1', 'centralizer': '1.a1.a1', 'counter': 376, 'group_counter': 17, 'group_order': 4896, 'label': '102A-43', 'order': 102, 'powers': [199, 134, 17], 'representative': 21414812090, 'size': 1}
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id: 87882708
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id: 87882709
{'aut_label': '102A1', 'centralizer': '1.a1.a1', 'counter': 378, 'group_counter': 17, 'group_order': 4896, 'label': '102A-47', 'order': 102, 'powers': [193, 138, 16], 'representative': 10467943290, 'size': 1}
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id: 87882710
{'aut_label': '102A1', 'centralizer': '1.a1.a1', 'counter': 379, 'group_counter': 17, 'group_order': 4896, 'label': '102A49', 'order': 102, 'powers': [192, 139, 16], 'representative': 15736123900, 'size': 1}
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id: 87882712
{'aut_label': '102A1', 'centralizer': '1.a1.a1', 'counter': 380, 'group_counter': 17, 'group_order': 4896, 'label': '102A-49', 'order': 102, 'powers': [191, 140, 17], 'representative': 26888246490, 'size': 1}
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id: 87882713
{'aut_label': '102B1', 'centralizer': '2.b1.a1', 'counter': 381, 'group_counter': 17, 'group_order': 4896, 'label': '102B1', 'order': 102, 'powers': [221, 125, 18], 'representative': 14504600952, 'size': 2}
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id: 87882714
{'aut_label': '102B1', 'centralizer': '2.b1.a1', 'counter': 382, 'group_counter': 17, 'group_order': 4896, 'label': '102B-1', 'order': 102, 'powers': [222, 126, 18], 'representative': 13067824746, 'size': 2}
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id: 87882715
{'aut_label': '102B1', 'centralizer': '2.b1.a1', 'counter': 383, 'group_counter': 17, 'group_order': 4896, 'label': '102B5', 'order': 102, 'powers': [227, 129, 18], 'representative': 22441080918, 'size': 2}
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id: 87882716
{'aut_label': '102B1', 'centralizer': '2.b1.a1', 'counter': 384, 'group_counter': 17, 'group_order': 4896, 'label': '102B-5', 'order': 102, 'powers': [228, 130, 18], 'representative': 21072722269, 'size': 2}
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id: 87882717
{'aut_label': '102B1', 'centralizer': '2.b1.a1', 'counter': 385, 'group_counter': 17, 'group_order': 4896, 'label': '102B7', 'order': 102, 'powers': [229, 131, 18], 'representative': 3078806829, 'size': 2}
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id: 87882718
{'aut_label': '102B1', 'centralizer': '2.b1.a1', 'counter': 386, 'group_counter': 17, 'group_order': 4896, 'label': '102B-7', 'order': 102, 'powers': [230, 132, 18], 'representative': 6841793292, 'size': 2}
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id: 87882719
{'aut_label': '102B1', 'centralizer': '2.b1.a1', 'counter': 387, 'group_counter': 17, 'group_order': 4896, 'label': '102B11', 'order': 102, 'powers': [233, 135, 18], 'representative': 22714752437, 'size': 2}
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id: 87882720
{'aut_label': '102B1', 'centralizer': '2.b1.a1', 'counter': 388, 'group_counter': 17, 'group_order': 4896, 'label': '102B-11', 'order': 102, 'powers': [234, 136, 18], 'representative': 22167409087, 'size': 2}
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id: 87882721
{'aut_label': '102B1', 'centralizer': '2.b1.a1', 'counter': 389, 'group_counter': 17, 'group_order': 4896, 'label': '102B13', 'order': 102, 'powers': [226, 137, 18], 'representative': 18472840974, 'size': 2}
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id: 87882723
{'aut_label': '102B1', 'centralizer': '2.b1.a1', 'counter': 390, 'group_counter': 17, 'group_order': 4896, 'label': '102B-13', 'order': 102, 'powers': [225, 138, 18], 'representative': 10467943475, 'size': 2}
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id: 87882724
{'aut_label': '102B1', 'centralizer': '2.b1.a1', 'counter': 391, 'group_counter': 17, 'group_order': 4896, 'label': '102B19', 'order': 102, 'powers': [223, 140, 18], 'representative': 26888246143, 'size': 2}
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id: 87882725
{'aut_label': '102B1', 'centralizer': '2.b1.a1', 'counter': 392, 'group_counter': 17, 'group_order': 4896, 'label': '102B-19', 'order': 102, 'powers': [224, 139, 18], 'representative': 15736123999, 'size': 2}
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id: 87882726
{'aut_label': '102B1', 'centralizer': '2.b1.a1', 'counter': 393, 'group_counter': 17, 'group_order': 4896, 'label': '102B25', 'order': 102, 'powers': [231, 134, 18], 'representative': 21414812053, 'size': 2}
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id: 87882727
{'aut_label': '102B1', 'centralizer': '2.b1.a1', 'counter': 394, 'group_counter': 17, 'group_order': 4896, 'label': '102B-25', 'order': 102, 'powers': [232, 133, 18], 'representative': 21277976042, 'size': 2}
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id: 87882728
{'aut_label': '102B1', 'centralizer': '2.b1.a1', 'counter': 395, 'group_counter': 17, 'group_order': 4896, 'label': '102B31', 'order': 102, 'powers': [235, 128, 18], 'representative': 16557138838, 'size': 2}
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id: 87882729
{'aut_label': '102B1', 'centralizer': '2.b1.a1', 'counter': 396, 'group_counter': 17, 'group_order': 4896, 'label': '102B-31', 'order': 102, 'powers': [236, 127, 18], 'representative': 8210151705, 'size': 2}
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id: 87882730
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 397, 'group_counter': 17, 'group_order': 4896, 'label': '102C1', 'order': 102, 'powers': [221, 141, 19], 'representative': 13478332017, 'size': 2}
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id: 87882731
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 398, 'group_counter': 17, 'group_order': 4896, 'label': '102C-1', 'order': 102, 'powers': [222, 142, 20], 'representative': 21004304421, 'size': 2}
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id: 87882732
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 399, 'group_counter': 17, 'group_order': 4896, 'label': '102C5', 'order': 102, 'powers': [227, 145, 20], 'representative': 14094093455, 'size': 2}
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id: 87882735
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 400, 'group_counter': 17, 'group_order': 4896, 'label': '102C-5', 'order': 102, 'powers': [228, 146, 19], 'representative': 9373256374, 'size': 2}
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id: 87882736
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 401, 'group_counter': 17, 'group_order': 4896, 'label': '102C7', 'order': 102, 'powers': [229, 147, 19], 'representative': 24904126180, 'size': 2}
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id: 87882737
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 402, 'group_counter': 17, 'group_order': 4896, 'label': '102C-7', 'order': 102, 'powers': [230, 148, 20], 'representative': 26819828477, 'size': 2}
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id: 87882738
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 403, 'group_counter': 17, 'group_order': 4896, 'label': '102C11', 'order': 102, 'powers': [233, 151, 20], 'representative': 5268180542, 'size': 2}
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id: 87882739
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 404, 'group_counter': 17, 'group_order': 4896, 'label': '102C-11', 'order': 102, 'powers': [234, 152, 19], 'representative': 6226031624, 'size': 2}
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id: 87882740
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 405, 'group_counter': 17, 'group_order': 4896, 'label': '102C13', 'order': 102, 'powers': [226, 153, 19], 'representative': 9852181915, 'size': 2}
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id: 87882741
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 406, 'group_counter': 17, 'group_order': 4896, 'label': '102C-13', 'order': 102, 'powers': [225, 154, 20], 'representative': 23125260258, 'size': 2}
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id: 87882742
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 407, 'group_counter': 17, 'group_order': 4896, 'label': '102C19', 'order': 102, 'powers': [223, 156, 19], 'representative': 3147224750, 'size': 2}
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id: 87882743
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 408, 'group_counter': 17, 'group_order': 4896, 'label': '102C-19', 'order': 102, 'powers': [224, 155, 20], 'representative': 22509498820, 'size': 2}
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id: 87882744
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 409, 'group_counter': 17, 'group_order': 4896, 'label': '102C23', 'order': 102, 'powers': [234, 152, 20], 'representative': 22167409314, 'size': 2}
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id: 87882746
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 410, 'group_counter': 17, 'group_order': 4896, 'label': '102C-23', 'order': 102, 'powers': [233, 151, 19], 'representative': 27367171932, 'size': 2}
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id: 87882747
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 411, 'group_counter': 17, 'group_order': 4896, 'label': '102C25', 'order': 102, 'powers': [231, 150, 19], 'representative': 18883348500, 'size': 2}
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id: 87882748
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 412, 'group_counter': 17, 'group_order': 4896, 'label': '102C-25', 'order': 102, 'powers': [232, 149, 20], 'representative': 8415405365, 'size': 2}
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id: 87882749
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 413, 'group_counter': 17, 'group_order': 4896, 'label': '102C29', 'order': 102, 'powers': [228, 146, 20], 'representative': 21072722404, 'size': 2}
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id: 87882750
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 414, 'group_counter': 17, 'group_order': 4896, 'label': '102C-29', 'order': 102, 'powers': [227, 145, 19], 'representative': 22441080915, 'size': 2}
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id: 87882751
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 415, 'group_counter': 17, 'group_order': 4896, 'label': '102C31', 'order': 102, 'powers': [235, 144, 19], 'representative': 11425794163, 'size': 2}
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id: 87882752
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 416, 'group_counter': 17, 'group_order': 4896, 'label': '102C-31', 'order': 102, 'powers': [236, 143, 20], 'representative': 19772781706, 'size': 2}
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id: 87882753
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 417, 'group_counter': 17, 'group_order': 4896, 'label': '102C35', 'order': 102, 'powers': [221, 141, 20], 'representative': 27709261457, 'size': 2}
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id: 87882754
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 418, 'group_counter': 17, 'group_order': 4896, 'label': '102C-35', 'order': 102, 'powers': [222, 142, 19], 'representative': 13067824541, 'size': 2}
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id: 87882755
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 419, 'group_counter': 17, 'group_order': 4896, 'label': '102C37', 'order': 102, 'powers': [236, 143, 19], 'representative': 12588899056, 'size': 2}
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id: 87882757
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 420, 'group_counter': 17, 'group_order': 4896, 'label': '102C-37', 'order': 102, 'powers': [235, 144, 20], 'representative': 26614574623, 'size': 2}
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id: 87882758
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 421, 'group_counter': 17, 'group_order': 4896, 'label': '102C41', 'order': 102, 'powers': [229, 147, 20], 'representative': 26340902710, 'size': 2}
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id: 87882759
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 422, 'group_counter': 17, 'group_order': 4896, 'label': '102C-41', 'order': 102, 'powers': [230, 148, 19], 'representative': 6841792917, 'size': 2}
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id: 87882760
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 423, 'group_counter': 17, 'group_order': 4896, 'label': '102C43', 'order': 102, 'powers': [232, 149, 19], 'representative': 21277976205, 'size': 2}
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id: 87882761
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 424, 'group_counter': 17, 'group_order': 4896, 'label': '102C-43', 'order': 102, 'powers': [231, 150, 20], 'representative': 21414811910, 'size': 2}
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id: 87882762
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 425, 'group_counter': 17, 'group_order': 4896, 'label': '102C47', 'order': 102, 'powers': [226, 153, 20], 'representative': 18472841095, 'size': 2}
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id: 87882763
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 426, 'group_counter': 17, 'group_order': 4896, 'label': '102C-47', 'order': 102, 'powers': [225, 154, 19], 'representative': 10467943208, 'size': 2}
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id: 87882764
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 427, 'group_counter': 17, 'group_order': 4896, 'label': '102C49', 'order': 102, 'powers': [224, 155, 19], 'representative': 15736123750, 'size': 2}
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id: 87882765
{'aut_label': '102C1', 'centralizer': '2.b1.a1', 'counter': 428, 'group_counter': 17, 'group_order': 4896, 'label': '102C-49', 'order': 102, 'powers': [223, 156, 20], 'representative': 26888246460, 'size': 2}
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id: 87882766
{'aut_label': '102D1', 'centralizer': '2.b1.a1', 'counter': 429, 'group_counter': 17, 'group_order': 4896, 'label': '102D1', 'order': 102, 'powers': [237, 141, 21], 'representative': 14778272668, 'size': 2}
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id: 87882768
{'aut_label': '102D1', 'centralizer': '2.b1.a1', 'counter': 430, 'group_counter': 17, 'group_order': 4896, 'label': '102D-1', 'order': 102, 'powers': [238, 142, 22], 'representative': 21004304292, 'size': 2}
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id: 87882769
{'aut_label': '102D1', 'centralizer': '2.b1.a1', 'counter': 431, 'group_counter': 17, 'group_order': 4896, 'label': '102D5', 'order': 102, 'powers': [243, 145, 22], 'representative': 14094093499, 'size': 2}
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id: 87882770
{'aut_label': '102D1', 'centralizer': '2.b1.a1', 'counter': 432, 'group_counter': 17, 'group_order': 4896, 'label': '102D-5', 'order': 102, 'powers': [244, 146, 21], 'representative': 9373256309, 'size': 2}
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id: 87882771
{'aut_label': '102D1', 'centralizer': '2.b1.a1', 'counter': 433, 'group_counter': 17, 'group_order': 4896, 'label': '102D7', 'order': 102, 'powers': [245, 147, 21], 'representative': 4720837125, 'size': 2}
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id: 87882772
{'aut_label': '102D1', 'centralizer': '2.b1.a1', 'counter': 434, 'group_counter': 17, 'group_order': 4896, 'label': '102D-7', 'order': 102, 'powers': [246, 148, 22], 'representative': 26819828251, 'size': 2}
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id: 87882773
{'aut_label': '102D1', 'centralizer': '2.b1.a1', 'counter': 435, 'group_counter': 17, 'group_order': 4896, 'label': '102D11', 'order': 102, 'powers': [251, 151, 22], 'representative': 23330513798, 'size': 2}
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id: 87882774
{'aut_label': '102D1', 'centralizer': '2.b1.a1', 'counter': 436, 'group_counter': 17, 'group_order': 4896, 'label': '102D-11', 'order': 102, 'powers': [252, 152, 21], 'representative': 6226031545, 'size': 2}
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id: 87882775
{'aut_label': '102D1', 'centralizer': '2.b1.a1', 'counter': 437, 'group_counter': 17, 'group_order': 4896, 'label': '102D13', 'order': 102, 'powers': [253, 153, 21], 'representative': 9852181781, 'size': 2}
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id: 87882776
{'aut_label': '102D1', 'centralizer': '2.b1.a1', 'counter': 438, 'group_counter': 17, 'group_order': 4896, 'label': '102D-13', 'order': 102, 'powers': [254, 154, 22], 'representative': 23125260084, 'size': 2}
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id: 87882777
{'aut_label': '102D1', 'centralizer': '2.b1.a1', 'counter': 439, 'group_counter': 17, 'group_order': 4896, 'label': '102D19', 'order': 102, 'powers': [259, 156, 21], 'representative': 3147224764, 'size': 2}
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id: 87882779
{'aut_label': '102D1', 'centralizer': '2.b1.a1', 'counter': 440, 'group_counter': 17, 'group_order': 4896, 'label': '102D-19', 'order': 102, 'powers': [260, 155, 22], 'representative': 22509498791, 'size': 2}
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id: 87882780
{'aut_label': '102D1', 'centralizer': '2.b1.a1', 'counter': 441, 'group_counter': 17, 'group_order': 4896, 'label': '102D23', 'order': 102, 'powers': [265, 152, 22], 'representative': 22167409002, 'size': 2}
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id: 87882781
{'aut_label': '102D1', 'centralizer': '2.b1.a1', 'counter': 442, 'group_counter': 17, 'group_order': 4896, 'label': '102D-23', 'order': 102, 'powers': [266, 151, 21], 'representative': 23330514121, 'size': 2}
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id: 87882782
{'aut_label': '102D1', 'centralizer': '2.b1.a1', 'counter': 443, 'group_counter': 17, 'group_order': 4896, 'label': '102D25', 'order': 102, 'powers': [267, 150, 21], 'representative': 18883348584, 'size': 2}
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id: 87882783
{'aut_label': '102D1', 'centralizer': '2.b1.a1', 'counter': 444, 'group_counter': 17, 'group_order': 4896, 'label': '102D-25', 'order': 102, 'powers': [268, 149, 22], 'representative': 8415405292, 'size': 2}
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id: 87882784
{'aut_label': '102D1', 'centralizer': '2.b1.a1', 'counter': 445, 'group_counter': 17, 'group_order': 4896, 'label': '102D29', 'order': 102, 'powers': [264, 146, 22], 'representative': 21072722168, 'size': 2}
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id: 87882785
{'aut_label': '102D1', 'centralizer': '2.b1.a1', 'counter': 446, 'group_counter': 17, 'group_order': 4896, 'label': '102D-29', 'order': 102, 'powers': [263, 145, 21], 'representative': 22441080837, 'size': 2}
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id: 87882786
{'aut_label': '102D1', 'centralizer': '2.b1.a1', 'counter': 447, 'group_counter': 17, 'group_order': 4896, 'label': '102D31', 'order': 102, 'powers': [262, 144, 21], 'representative': 17925497418, 'size': 2}
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id: 87882787
{'aut_label': '102D1', 'centralizer': '2.b1.a1', 'counter': 448, 'group_counter': 17, 'group_order': 4896, 'label': '102D-31', 'order': 102, 'powers': [261, 143, 22], 'representative': 23604185730, 'size': 2}
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id: 87882788
{'aut_label': '102D1', 'centralizer': '2.b1.a1', 'counter': 449, 'group_counter': 17, 'group_order': 4896, 'label': '102D35', 'order': 102, 'powers': [258, 141, 22], 'representative': 14778272876, 'size': 2}
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id: 87882790
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id: 87882803
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id: 87882805
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id: 87882808
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id: 87882809
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id: 87882810
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id: 87882812
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id: 87882813
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id: 87882814
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id: 87882815
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id: 87882816
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id: 87882817
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id: 87882818
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id: 87882819
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id: 87882820
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id: 87882821
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id: 87882823
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id: 87882824
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id: 87882825
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id: 87882826
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id: 87882827
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id: 87882828
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id: 87882829
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id: 87882830
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id: 87882831
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id: 87882832
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id: 87882834
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id: 87882835
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id: 87882836
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id: 87882837
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id: 87882838
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id: 87882839
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id: 87882840
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id: 87882841
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id: 87882842
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id: 87882843
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id: 87882846
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id: 87882847
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id: 87882848
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id: 87882849
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id: 87882850
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id: 87882851
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id: 87882852
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id: 87882853
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id: 87882854
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id: 87882855
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id: 87882857
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id: 87882858
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id: 87882859
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id: 87882860
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id: 87882863
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id: 87882865
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id: 87882866
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id: 87882869
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id: 87882870
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id: 87882871
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id: 87882872
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id: 87882873
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id: 87882874
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id: 87882875
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id: 87882876
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id: 87882877
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id: 87882879
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id: 87882880
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id: 87882881
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id: 87882882
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id: 87882883
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id: 87882884
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id: 87882885
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id: 87882886
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id: 87882887
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id: 87882888
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id: 87882890
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id: 87882891
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id: 87882892
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id: 87882893
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id: 87882894
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id: 87882895
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id: 87882896
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id: 87882897
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id: 87882898
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id: 87882899
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id: 87882901
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id: 87882902
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id: 87882903
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id: 87882904
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id: 87882905
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id: 87882906
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id: 87882907
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id: 87882908
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id: 87882909
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 558, 'group_counter': 17, 'group_order': 4896, 'label': '102H-1', 'order': 102, 'powers': [199, 158, 30], 'representative': 34303648, 'size': 6}
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id: 87882910
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 559, 'group_counter': 17, 'group_order': 4896, 'label': '102H5', 'order': 102, 'powers': [203, 161, 30], 'representative': 15402940, 'size': 6}
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id: 87882912
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 560, 'group_counter': 17, 'group_order': 4896, 'label': '102H-5', 'order': 102, 'powers': [204, 162, 29], 'representative': 19253675, 'size': 6}
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id: 87882913
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 561, 'group_counter': 17, 'group_order': 4896, 'label': '102H7', 'order': 102, 'powers': [196, 163, 29], 'representative': 61576177, 'size': 6}
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id: 87882914
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 562, 'group_counter': 17, 'group_order': 4896, 'label': '102H-7', 'order': 102, 'powers': [195, 164, 30], 'representative': 66749209, 'size': 6}
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id: 87882915
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 563, 'group_counter': 17, 'group_order': 4896, 'label': '102H11', 'order': 102, 'powers': [207, 167, 30], 'representative': 27100749, 'size': 6}
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id: 87882916
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 564, 'group_counter': 17, 'group_order': 4896, 'label': '102H-11', 'order': 102, 'powers': [208, 168, 29], 'representative': 65414233, 'size': 6}
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id: 87882917
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 565, 'group_counter': 17, 'group_order': 4896, 'label': '102H13', 'order': 102, 'powers': [192, 169, 29], 'representative': 30450050, 'size': 6}
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id: 87882918
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 566, 'group_counter': 17, 'group_order': 4896, 'label': '102H-13', 'order': 102, 'powers': [191, 170, 30], 'representative': 33470106, 'size': 6}
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id: 87882919
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 567, 'group_counter': 17, 'group_order': 4896, 'label': '102H19', 'order': 102, 'powers': [189, 172, 29], 'representative': 35651303, 'size': 6}
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id: 87882920
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 568, 'group_counter': 17, 'group_order': 4896, 'label': '102H-19', 'order': 102, 'powers': [190, 171, 30], 'representative': 53382271, 'size': 6}
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id: 87882921
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 569, 'group_counter': 17, 'group_order': 4896, 'label': '102H23', 'order': 102, 'powers': [213, 168, 30], 'representative': 25768636, 'size': 6}
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id: 87882923
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 570, 'group_counter': 17, 'group_order': 4896, 'label': '102H-23', 'order': 102, 'powers': [214, 167, 29], 'representative': 67917313, 'size': 6}
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id: 87882924
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 571, 'group_counter': 17, 'group_order': 4896, 'label': '102H25', 'order': 102, 'powers': [193, 166, 29], 'representative': 45864442, 'size': 6}
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id: 87882925
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 572, 'group_counter': 17, 'group_order': 4896, 'label': '102H-25', 'order': 102, 'powers': [194, 165, 30], 'representative': 44706154, 'size': 6}
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id: 87882926
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 573, 'group_counter': 17, 'group_order': 4896, 'label': '102H29', 'order': 102, 'powers': [217, 162, 30], 'representative': 55888214, 'size': 6}
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id: 87882927
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 574, 'group_counter': 17, 'group_order': 4896, 'label': '102H-29', 'order': 102, 'powers': [218, 161, 29], 'representative': 63078025, 'size': 6}
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id: 87882928
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 575, 'group_counter': 17, 'group_order': 4896, 'label': '102H31', 'order': 102, 'powers': [197, 160, 29], 'representative': 50205159, 'size': 6}
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id: 87882929
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 576, 'group_counter': 17, 'group_order': 4896, 'label': '102H-31', 'order': 102, 'powers': [198, 159, 30], 'representative': 65911986, 'size': 6}
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id: 87882930
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 577, 'group_counter': 17, 'group_order': 4896, 'label': '102H35', 'order': 102, 'powers': [220, 157, 30], 'representative': 68084185, 'size': 6}
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id: 87882931
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 578, 'group_counter': 17, 'group_order': 4896, 'label': '102H-35', 'order': 102, 'powers': [219, 158, 29], 'representative': 38652954, 'size': 6}
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id: 87882932
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 579, 'group_counter': 17, 'group_order': 4896, 'label': '102H37', 'order': 102, 'powers': [201, 159, 29], 'representative': 3850735, 'size': 6}
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id: 87882934
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 580, 'group_counter': 17, 'group_order': 4896, 'label': '102H-37', 'order': 102, 'powers': [202, 160, 30], 'representative': 26785819, 'size': 6}
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id: 87882935
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 581, 'group_counter': 17, 'group_order': 4896, 'label': '102H41', 'order': 102, 'powers': [216, 163, 30], 'representative': 28287258, 'size': 6}
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id: 87882936
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 582, 'group_counter': 17, 'group_order': 4896, 'label': '102H-41', 'order': 102, 'powers': [215, 164, 29], 'representative': 48181018, 'size': 6}
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id: 87882937
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 583, 'group_counter': 17, 'group_order': 4896, 'label': '102H43', 'order': 102, 'powers': [205, 165, 29], 'representative': 41025972, 'size': 6}
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id: 87882938
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 584, 'group_counter': 17, 'group_order': 4896, 'label': '102H-43', 'order': 102, 'powers': [206, 166, 30], 'representative': 56403145, 'size': 6}
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id: 87882939
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 585, 'group_counter': 17, 'group_order': 4896, 'label': '102H47', 'order': 102, 'powers': [212, 169, 30], 'representative': 66415465, 'size': 6}
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id: 87882940
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 586, 'group_counter': 17, 'group_order': 4896, 'label': '102H-47', 'order': 102, 'powers': [211, 170, 29], 'representative': 62744281, 'size': 6}
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id: 87882941
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 587, 'group_counter': 17, 'group_order': 4896, 'label': '102H49', 'order': 102, 'powers': [209, 171, 29], 'representative': 23104410, 'size': 6}
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id: 87882942
{'aut_label': '102H1', 'centralizer': '6.j1.a1', 'counter': 588, 'group_counter': 17, 'group_order': 4896, 'label': '102H-49', 'order': 102, 'powers': [210, 172, 30], 'representative': 60074329, 'size': 6}
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id: 87882943
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 589, 'group_counter': 17, 'group_order': 4896, 'label': '102I1', 'order': 102, 'powers': [189, 173, 31], 'representative': 670760, 'size': 6}
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id: 87882945
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 590, 'group_counter': 17, 'group_order': 4896, 'label': '102I-1', 'order': 102, 'powers': [190, 174, 32], 'representative': 36503659, 'size': 6}
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id: 87882946
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 591, 'group_counter': 17, 'group_order': 4896, 'label': '102I5', 'order': 102, 'powers': [195, 177, 32], 'representative': 20943254, 'size': 6}
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id: 87882947
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 592, 'group_counter': 17, 'group_order': 4896, 'label': '102I-5', 'order': 102, 'powers': [196, 178, 31], 'representative': 16910105, 'size': 6}
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id: 87882948
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 593, 'group_counter': 17, 'group_order': 4896, 'label': '102I7', 'order': 102, 'powers': [197, 179, 31], 'representative': 4024560, 'size': 6}
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id: 87882949
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 594, 'group_counter': 17, 'group_order': 4896, 'label': '102I-7', 'order': 102, 'powers': [198, 180, 32], 'representative': 2850730, 'size': 6}
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id: 87882950
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 595, 'group_counter': 17, 'group_order': 4896, 'label': '102I11', 'order': 102, 'powers': [203, 183, 32], 'representative': 1509210, 'size': 6}
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id: 87882951
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 596, 'group_counter': 17, 'group_order': 4896, 'label': '102I-11', 'order': 102, 'powers': [204, 184, 31], 'representative': 14221339, 'size': 6}
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id: 87882952
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 597, 'group_counter': 17, 'group_order': 4896, 'label': '102I13', 'order': 102, 'powers': [205, 185, 31], 'representative': 23254104, 'size': 6}
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id: 87882953
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 598, 'group_counter': 17, 'group_order': 4896, 'label': '102I-13', 'order': 102, 'powers': [206, 186, 32], 'representative': 11905990, 'size': 6}
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id: 87882954
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 599, 'group_counter': 17, 'group_order': 4896, 'label': '102I19', 'order': 102, 'powers': [211, 188, 31], 'representative': 5024974, 'size': 6}
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id: 87882957
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 600, 'group_counter': 17, 'group_order': 4896, 'label': '102I-19', 'order': 102, 'powers': [212, 187, 32], 'representative': 13415200, 'size': 6}
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id: 87882958
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 601, 'group_counter': 17, 'group_order': 4896, 'label': '102I23', 'order': 102, 'powers': [217, 184, 32], 'representative': 53197812, 'size': 6}
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id: 87882959
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 602, 'group_counter': 17, 'group_order': 4896, 'label': '102I-23', 'order': 102, 'powers': [218, 183, 31], 'representative': 11378789, 'size': 6}
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id: 87882960
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 603, 'group_counter': 17, 'group_order': 4896, 'label': '102I25', 'order': 102, 'powers': [219, 182, 31], 'representative': 30149844, 'size': 6}
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id: 87882961
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 604, 'group_counter': 17, 'group_order': 4896, 'label': '102I-25', 'order': 102, 'powers': [220, 181, 32], 'representative': 16403763, 'size': 6}
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id: 87882962
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 605, 'group_counter': 17, 'group_order': 4896, 'label': '102I29', 'order': 102, 'powers': [216, 178, 32], 'representative': 45515156, 'size': 6}
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id: 87882963
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 606, 'group_counter': 17, 'group_order': 4896, 'label': '102I-29', 'order': 102, 'powers': [215, 177, 31], 'representative': 13582890, 'size': 6}
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id: 87882964
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 607, 'group_counter': 17, 'group_order': 4896, 'label': '102I31', 'order': 102, 'powers': [214, 176, 31], 'representative': 3353800, 'size': 6}
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id: 87882965
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 608, 'group_counter': 17, 'group_order': 4896, 'label': '102I-31', 'order': 102, 'powers': [213, 175, 32], 'representative': 20099896, 'size': 6}
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id: 87882966
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 609, 'group_counter': 17, 'group_order': 4896, 'label': '102I35', 'order': 102, 'powers': [210, 173, 32], 'representative': 32286869, 'size': 6}
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id: 87882968
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 610, 'group_counter': 17, 'group_order': 4896, 'label': '102I-35', 'order': 102, 'powers': [209, 174, 31], 'representative': 17099063, 'size': 6}
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id: 87882969
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 611, 'group_counter': 17, 'group_order': 4896, 'label': '102I37', 'order': 102, 'powers': [208, 175, 31], 'representative': 37664401, 'size': 6}
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id: 87882970
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 612, 'group_counter': 17, 'group_order': 4896, 'label': '102I-37', 'order': 102, 'powers': [207, 176, 32], 'representative': 24598487, 'size': 6}
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id: 87882971
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 613, 'group_counter': 17, 'group_order': 4896, 'label': '102I41', 'order': 102, 'powers': [202, 179, 32], 'representative': 56885356, 'size': 6}
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id: 87882972
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 614, 'group_counter': 17, 'group_order': 4896, 'label': '102I-41', 'order': 102, 'powers': [201, 180, 31], 'representative': 13891276, 'size': 6}
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id: 87882973
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 615, 'group_counter': 17, 'group_order': 4896, 'label': '102I43', 'order': 102, 'powers': [200, 181, 31], 'representative': 47852591, 'size': 6}
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id: 87882974
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 616, 'group_counter': 17, 'group_order': 4896, 'label': '102I-43', 'order': 102, 'powers': [199, 182, 32], 'representative': 16098240, 'size': 6}
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id: 87882975
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 617, 'group_counter': 17, 'group_order': 4896, 'label': '102I47', 'order': 102, 'powers': [194, 185, 32], 'representative': 44331510, 'size': 6}
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id: 87882976
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 618, 'group_counter': 17, 'group_order': 4896, 'label': '102I-47', 'order': 102, 'powers': [193, 186, 31], 'representative': 13746081, 'size': 6}
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id: 87882977
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 619, 'group_counter': 17, 'group_order': 4896, 'label': '102I49', 'order': 102, 'powers': [192, 187, 31], 'representative': 25124870, 'size': 6}
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id: 87882979
{'aut_label': '102H1', 'centralizer': '6.j1.b1', 'counter': 620, 'group_counter': 17, 'group_order': 4896, 'label': '102I-49', 'order': 102, 'powers': [191, 188, 32], 'representative': 2683040, 'size': 6}
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id: 87882980
{'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 621, 'group_counter': 17, 'group_order': 4896, 'label': '136A1', 'order': 136, 'powers': [269, 623, 33], 'representative': 17993915590, 'size': 1}
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id: 87882981
{'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 622, 'group_counter': 17, 'group_order': 4896, 'label': '136A-1', 'order': 136, 'powers': [270, 624, 34], 'representative': 957851020, 'size': 1}
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id: 87882982
{'aut_label': '136A1', 'centralizer': '1.a1.a1', 'counter': 623, 'group_counter': 17, 'group_order': 4896, 'label': '136A3', 'order': 136, 'powers': [271, 629, 35], 'representative': 24219947220, 'size': 1}
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id: 87882983
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id: 87882987
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id: 87882990
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id: 87882991
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id: 87882992
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id: 87882993
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id: 87882994
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id: 87882995
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id: 87882996
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id: 87882997
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id: 87882998
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id: 87882999
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id: 87883001
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id: 87883002
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id: 87883003
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id: 87883004
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id: 87883005
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id: 87883006
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id: 87883007
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id: 87883008
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id: 87883009
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id: 87883010
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id: 87883012
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id: 87883013
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id: 87883014
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id: 87883015
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id: 87883016
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id: 87883017
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id: 87883018
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id: 87883019
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id: 87883020
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id: 87883021
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id: 87883023
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id: 87883024
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id: 87883025
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id: 87883026
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id: 87883027
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id: 87883028
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id: 87883029
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id: 87883030
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id: 87883031
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id: 87883032
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id: 87883034
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id: 87883035
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id: 87883036
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id: 87883037
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id: 87883038
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id: 87883039
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id: 87883040
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id: 87883041
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id: 87883042
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id: 87883043
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id: 87883045
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id: 87883046
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id: 87883047
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id: 87883048
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id: 87883049
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id: 87883050
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id: 87883051
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id: 87883052
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id: 87883053
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id: 87883054
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id: 87883056
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id: 87883057
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id: 87883058
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id: 87883059
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id: 87883060
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id: 87883061
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id: 87883062
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id: 87883065
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id: 87883070
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id: 87883071
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id: 87883072
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id: 87883073
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id: 87883074
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id: 87883075
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id: 87883076
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id: 87883098
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id: 87883101
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id: 87883102
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id: 87883103
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id: 87883104
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id: 87883105
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id: 87883106
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id: 87883107
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id: 87883108
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id: 87883109
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id: 87883110
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id: 87883112
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id: 87883113
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id: 87883114
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id: 87883115
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id: 87883116
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id: 87883117
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id: 87883118
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id: 87883119
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id: 87883120
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id: 87883121
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id: 87883123
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id: 87883124
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id: 87883125
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id: 87883126
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id: 87883127
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id: 87883128
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id: 87883129
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id: 87883130
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id: 87883131
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id: 87883136
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id: 87883171
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id: 87883173
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id: 87883174
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id: 87883175
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 798, 'group_counter': 17, 'group_order': 4896, 'label': '204A-29', 'order': 204, 'powers': [376, 296, 46], 'representative': 14162511510, 'size': 1}
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id: 87883176
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 799, 'group_counter': 17, 'group_order': 4896, 'label': '204A31', 'order': 204, 'powers': [380, 297, 46], 'representative': 16830810780, 'size': 1}
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id: 87883179
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 800, 'group_counter': 17, 'group_order': 4896, 'label': '204A-31', 'order': 204, 'powers': [379, 298, 45], 'representative': 9441674340, 'size': 1}
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id: 87883180
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 801, 'group_counter': 17, 'group_order': 4896, 'label': '204A35', 'order': 204, 'powers': [366, 300, 44], 'representative': 23877857570, 'size': 1}
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id: 87883181
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 802, 'group_counter': 17, 'group_order': 4896, 'label': '204A-35', 'order': 204, 'powers': [365, 299, 43], 'representative': 22851588620, 'size': 1}
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id: 87883182
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id: 87883183
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 804, 'group_counter': 17, 'group_order': 4896, 'label': '204A-37', 'order': 204, 'powers': [359, 297, 44], 'representative': 24562036870, 'size': 1}
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id: 87883184
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id: 87883185
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id: 87883186
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id: 87883187
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 808, 'group_counter': 17, 'group_order': 4896, 'label': '204A-43', 'order': 204, 'powers': [356, 291, 45], 'representative': 18678094890, 'size': 1}
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id: 87883188
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 809, 'group_counter': 17, 'group_order': 4896, 'label': '204A47', 'order': 204, 'powers': [367, 288, 44], 'representative': 7457554370, 'size': 1}
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id: 87883190
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id: 87883191
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id: 87883192
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id: 87883193
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id: 87883194
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 814, 'group_counter': 17, 'group_order': 4896, 'label': '204A-53', 'order': 204, 'powers': [373, 283, 46], 'representative': 2805135130, 'size': 1}
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id: 87883195
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 815, 'group_counter': 17, 'group_order': 4896, 'label': '204A55', 'order': 204, 'powers': [368, 282, 46], 'representative': 1026268950, 'size': 1}
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id: 87883196
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 816, 'group_counter': 17, 'group_order': 4896, 'label': '204A-55', 'order': 204, 'powers': [367, 281, 45], 'representative': 20525379000, 'size': 1}
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id: 87883197
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 817, 'group_counter': 17, 'group_order': 4896, 'label': '204A59', 'order': 204, 'powers': [356, 278, 44], 'representative': 9304838480, 'size': 1}
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id: 87883198
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 818, 'group_counter': 17, 'group_order': 4896, 'label': '204A-59', 'order': 204, 'powers': [355, 277, 43], 'representative': 27777679580, 'size': 1}
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id: 87883199
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 819, 'group_counter': 17, 'group_order': 4896, 'label': '204A61', 'order': 204, 'powers': [350, 276, 43], 'representative': 13957257720, 'size': 1}
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id: 87883201
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 820, 'group_counter': 17, 'group_order': 4896, 'label': '204A-61', 'order': 204, 'powers': [349, 275, 44], 'representative': 27846097510, 'size': 1}
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id: 87883202
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 821, 'group_counter': 17, 'group_order': 4896, 'label': '204A65', 'order': 204, 'powers': [359, 272, 45], 'representative': 3420896500, 'size': 1}
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id: 87883203
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 822, 'group_counter': 17, 'group_order': 4896, 'label': '204A-65', 'order': 204, 'powers': [360, 271, 46], 'representative': 6157613700, 'size': 1}
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id: 87883204
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 823, 'group_counter': 17, 'group_order': 4896, 'label': '204A67', 'order': 204, 'powers': [365, 270, 46], 'representative': 5131344750, 'size': 1}
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id: 87883205
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 824, 'group_counter': 17, 'group_order': 4896, 'label': '204A-67', 'order': 204, 'powers': [366, 269, 45], 'representative': 4105075800, 'size': 1}
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id: 87883206
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 825, 'group_counter': 17, 'group_order': 4896, 'label': '204A71', 'order': 204, 'powers': [379, 271, 44], 'representative': 18541259030, 'size': 1}
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id: 87883207
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 826, 'group_counter': 17, 'group_order': 4896, 'label': '204A-71', 'order': 204, 'powers': [380, 272, 43], 'representative': 11152122590, 'size': 1}
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id: 87883208
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 827, 'group_counter': 17, 'group_order': 4896, 'label': '204A73', 'order': 204, 'powers': [376, 273, 43], 'representative': 13820421860, 'size': 1}
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id: 87883209
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 828, 'group_counter': 17, 'group_order': 4896, 'label': '204A-73', 'order': 204, 'powers': [375, 274, 44], 'representative': 16762392850, 'size': 1}
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id: 87883210
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 829, 'group_counter': 17, 'group_order': 4896, 'label': '204A77', 'order': 204, 'powers': [362, 277, 45], 'representative': 17104482500, 'size': 1}
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id: 87883212
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 830, 'group_counter': 17, 'group_order': 4896, 'label': '204A-77', 'order': 204, 'powers': [361, 278, 46], 'representative': 1231522740, 'size': 1}
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id: 87883213
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 831, 'group_counter': 17, 'group_order': 4896, 'label': '204A79', 'order': 204, 'powers': [358, 279, 46], 'representative': 25656723750, 'size': 1}
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id: 87883214
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 832, 'group_counter': 17, 'group_order': 4896, 'label': '204A-79', 'order': 204, 'powers': [357, 280, 45], 'representative': 821015160, 'size': 1}
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id: 87883215
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 833, 'group_counter': 17, 'group_order': 4896, 'label': '204A83', 'order': 204, 'powers': [353, 283, 44], 'representative': 8757495040, 'size': 1}
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id: 87883216
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 834, 'group_counter': 17, 'group_order': 4896, 'label': '204A-83', 'order': 204, 'powers': [354, 284, 43], 'representative': 19020184540, 'size': 1}
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id: 87883217
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 835, 'group_counter': 17, 'group_order': 4896, 'label': '204A89', 'order': 204, 'powers': [371, 287, 45], 'representative': 1573612390, 'size': 1}
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id: 87883218
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 836, 'group_counter': 17, 'group_order': 4896, 'label': '204A-89', 'order': 204, 'powers': [372, 288, 46], 'representative': 17036064570, 'size': 1}
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id: 87883219
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 837, 'group_counter': 17, 'group_order': 4896, 'label': '204A91', 'order': 204, 'powers': [377, 289, 46], 'representative': 16351885270, 'size': 1}
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id: 87883220
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 838, 'group_counter': 17, 'group_order': 4896, 'label': '204A-91', 'order': 204, 'powers': [378, 290, 45], 'representative': 11357376380, 'size': 1}
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id: 87883221
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 839, 'group_counter': 17, 'group_order': 4896, 'label': '204A95', 'order': 204, 'powers': [370, 293, 44], 'representative': 15804541830, 'size': 1}
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id: 87883223
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 840, 'group_counter': 17, 'group_order': 4896, 'label': '204A-95', 'order': 204, 'powers': [369, 294, 43], 'representative': 20593796930, 'size': 1}
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id: 87883224
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 841, 'group_counter': 17, 'group_order': 4896, 'label': '204A97', 'order': 204, 'powers': [364, 295, 43], 'representative': 9715346060, 'size': 1}
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id: 87883225
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 842, 'group_counter': 17, 'group_order': 4896, 'label': '204A-97', 'order': 204, 'powers': [363, 296, 44], 'representative': 23056842410, 'size': 1}
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id: 87883226
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 843, 'group_counter': 17, 'group_order': 4896, 'label': '204A101', 'order': 204, 'powers': [352, 299, 45], 'representative': 7868061950, 'size': 1}
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id: 87883227
{'aut_label': '204A1', 'centralizer': '1.a1.a1', 'counter': 844, 'group_counter': 17, 'group_order': 4896, 'label': '204A-101', 'order': 204, 'powers': [351, 300, 46], 'representative': 25793559610, 'size': 1}
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id: 87883228
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 845, 'group_counter': 17, 'group_order': 4896, 'label': '204B1', 'order': 204, 'powers': [381, 301, 47], 'representative': 7389136334, 'size': 2}
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id: 87883229
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 846, 'group_counter': 17, 'group_order': 4896, 'label': '204B-1', 'order': 204, 'powers': [382, 302, 47], 'representative': 14025675623, 'size': 2}
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id: 87883230
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 847, 'group_counter': 17, 'group_order': 4896, 'label': '204B5', 'order': 204, 'powers': [383, 305, 48], 'representative': 23877857253, 'size': 2}
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id: 87883231
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 848, 'group_counter': 17, 'group_order': 4896, 'label': '204B-5', 'order': 204, 'powers': [384, 306, 48], 'representative': 22851588580, 'size': 2}
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id: 87883232
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 849, 'group_counter': 17, 'group_order': 4896, 'label': '204B7', 'order': 204, 'powers': [385, 307, 48], 'representative': 25177798000, 'size': 2}
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id: 87883234
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 850, 'group_counter': 17, 'group_order': 4896, 'label': '204B-7', 'order': 204, 'powers': [386, 308, 48], 'representative': 27298753949, 'size': 2}
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id: 87883235
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 851, 'group_counter': 17, 'group_order': 4896, 'label': '204B11', 'order': 204, 'powers': [387, 311, 47], 'representative': 17104482253, 'size': 2}
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id: 87883236
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 852, 'group_counter': 17, 'group_order': 4896, 'label': '204B-11', 'order': 204, 'powers': [388, 312, 47], 'representative': 18678094635, 'size': 2}
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id: 87883237
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 853, 'group_counter': 17, 'group_order': 4896, 'label': '204B13', 'order': 204, 'powers': [389, 313, 47], 'representative': 16351885043, 'size': 2}
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id: 87883238
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 854, 'group_counter': 17, 'group_order': 4896, 'label': '204B-13', 'order': 204, 'powers': [390, 314, 47], 'representative': 25656723541, 'size': 2}
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id: 87883239
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 855, 'group_counter': 17, 'group_order': 4896, 'label': '204B19', 'order': 204, 'powers': [391, 316, 48], 'representative': 24562036674, 'size': 2}
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id: 87883240
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 856, 'group_counter': 17, 'group_order': 4896, 'label': '204B-19', 'order': 204, 'powers': [392, 315, 48], 'representative': 21825319622, 'size': 2}
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id: 87883241
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 857, 'group_counter': 17, 'group_order': 4896, 'label': '204B25', 'order': 204, 'powers': [393, 310, 47], 'representative': 14162511375, 'size': 2}
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id: 87883242
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 858, 'group_counter': 17, 'group_order': 4896, 'label': '204B-25', 'order': 204, 'powers': [394, 309, 47], 'representative': 18267587207, 'size': 2}
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id: 87883243
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 859, 'group_counter': 17, 'group_order': 4896, 'label': '204B31', 'order': 204, 'powers': [395, 304, 48], 'representative': 10946868749, 'size': 2}
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id: 87883245
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 860, 'group_counter': 17, 'group_order': 4896, 'label': '204B-31', 'order': 204, 'powers': [396, 303, 48], 'representative': 26956664412, 'size': 2}
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id: 87883246
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 861, 'group_counter': 17, 'group_order': 4896, 'label': '204B37', 'order': 204, 'powers': [396, 303, 47], 'representative': 1573612382, 'size': 2}
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id: 87883247
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 862, 'group_counter': 17, 'group_order': 4896, 'label': '204B-37', 'order': 204, 'powers': [395, 304, 47], 'representative': 20525378949, 'size': 2}
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id: 87883248
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 863, 'group_counter': 17, 'group_order': 4896, 'label': '204B43', 'order': 204, 'powers': [394, 309, 48], 'representative': 16762392747, 'size': 2}
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id: 87883249
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 864, 'group_counter': 17, 'group_order': 4896, 'label': '204B-43', 'order': 204, 'powers': [393, 310, 48], 'representative': 23056842275, 'size': 2}
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id: 87883250
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 865, 'group_counter': 17, 'group_order': 4896, 'label': '204B49', 'order': 204, 'powers': [392, 315, 47], 'representative': 9441674292, 'size': 2}
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id: 87883251
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 866, 'group_counter': 17, 'group_order': 4896, 'label': '204B-49', 'order': 204, 'powers': [391, 316, 47], 'representative': 16830810584, 'size': 2}
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id: 87883252
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 867, 'group_counter': 17, 'group_order': 4896, 'label': '204B55', 'order': 204, 'powers': [390, 314, 48], 'representative': 16625556781, 'size': 2}
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id: 87883253
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 868, 'group_counter': 17, 'group_order': 4896, 'label': '204B-55', 'order': 204, 'powers': [389, 313, 48], 'representative': 27161917983, 'size': 2}
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id: 87883254
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 869, 'group_counter': 17, 'group_order': 4896, 'label': '204B61', 'order': 204, 'powers': [386, 308, 47], 'representative': 8962748709, 'size': 2}
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id: 87883256
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 870, 'group_counter': 17, 'group_order': 4896, 'label': '204B-61', 'order': 204, 'powers': [385, 307, 47], 'representative': 19225438090, 'size': 2}
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id: 87883257
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 871, 'group_counter': 17, 'group_order': 4896, 'label': '204B67', 'order': 204, 'powers': [382, 302, 48], 'representative': 15804541803, 'size': 2}
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id: 87883258
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 872, 'group_counter': 17, 'group_order': 4896, 'label': '204B-67', 'order': 204, 'powers': [381, 301, 48], 'representative': 27846097404, 'size': 2}
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id: 87883259
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 873, 'group_counter': 17, 'group_order': 4896, 'label': '204B73', 'order': 204, 'powers': [383, 305, 47], 'representative': 25793559293, 'size': 2}
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id: 87883260
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 874, 'group_counter': 17, 'group_order': 4896, 'label': '204B-73', 'order': 204, 'powers': [384, 306, 47], 'representative': 7868061910, 'size': 2}
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id: 87883261
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 875, 'group_counter': 17, 'group_order': 4896, 'label': '204B79', 'order': 204, 'powers': [387, 311, 48], 'representative': 27777679333, 'size': 2}
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id: 87883262
{'aut_label': '204B1', 'centralizer': '2.b1.a1', 'counter': 876, 'group_counter': 17, 'group_order': 4896, 'label': '204B-79', 'order': 204, 'powers': [388, 312, 48], 'representative': 26751410375, 'size': 2}
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id: 87883263
{'aut_label': '204C1', 'centralizer': '2.b1.a1', 'counter': 877, 'group_counter': 17, 'group_order': 4896, 'label': '204C1', 'order': 204, 'powers': [349, 301, 49], 'representative': 27846097105, 'size': 2}
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id: 87883264
{'aut_label': '204C1', 'centralizer': '2.b1.a1', 'counter': 878, 'group_counter': 17, 'group_order': 4896, 'label': '204C-1', 'order': 204, 'powers': [350, 302, 50], 'representative': 14025675649, 'size': 2}
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id: 87883265
{'aut_label': '204C1', 'centralizer': '2.b1.a1', 'counter': 879, 'group_counter': 17, 'group_order': 4896, 'label': '204C5', 'order': 204, 'powers': [351, 305, 50], 'representative': 25793559265, 'size': 2}
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id: 87883267
{'aut_label': '204C1', 'centralizer': '2.b1.a1', 'counter': 880, 'group_counter': 17, 'group_order': 4896, 'label': '204C-5', 'order': 204, 'powers': [352, 306, 49], 'representative': 20114871241, 'size': 2}
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id: 87883268
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id: 87883269
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id: 87883270
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id: 87883271
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id: 87883272
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id: 87883273
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id: 87883274
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id: 87883275
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id: 87883276
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id: 87883278
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id: 87883279
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id: 87883280
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id: 87883281
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id: 87883282
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id: 87883283
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id: 87883284
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id: 87883285
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id: 87883286
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id: 87883287
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id: 87883290
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id: 87883291
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id: 87883292
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id: 87883293
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id: 87883294
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id: 87883295
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id: 87883296
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id: 87883297
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id: 87883298
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id: 87883299
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id: 87883301
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id: 87883302
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id: 87883303
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id: 87883304
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id: 87883305
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id: 87883306
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id: 87883307
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id: 87883308
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id: 87883309
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id: 87883310
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id: 87883312
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id: 87883313
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id: 87883314
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id: 87883315
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id: 87883316
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id: 87883317
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id: 87883318
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id: 87883319
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id: 87883320
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id: 87883321
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id: 87883323
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id: 87883324
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id: 87883325
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id: 87883326
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id: 87883327
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id: 87883328
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id: 87883329
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id: 87883330
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id: 87883331
{'aut_label': '204D1', 'centralizer': '2.b1.a1', 'counter': 938, 'group_counter': 17, 'group_order': 4896, 'label': '204D-59', 'order': 204, 'powers': [387, 277, 51], 'representative': 17104482656, 'size': 2}
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id: 87883332
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id: 87883334
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id: 87883335
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id: 87883336
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id: 87883337
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id: 87883338
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id: 87883339
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id: 87883340
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id: 87883341
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id: 87883342
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id: 87883343
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id: 87883345
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id: 87883346
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id: 87883347
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id: 87883348
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id: 87883349
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id: 87883350
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id: 87883351
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id: 87883352
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id: 87883353
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id: 87883354
{'aut_label': '204E1', 'centralizer': '2.b1.a1', 'counter': 959, 'group_counter': 17, 'group_order': 4896, 'label': '204E31', 'order': 204, 'powers': [543, 304, 56], 'representative': 24493618691, 'size': 2}
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id: 87883356
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id: 87883357
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id: 87883358
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id: 87883359
{'aut_label': '204E1', 'centralizer': '2.b1.a1', 'counter': 963, 'group_counter': 17, 'group_order': 4896, 'label': '204E37', 'order': 204, 'powers': [547, 303, 53], 'representative': 1573612375, 'size': 2}
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id: 87883360
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id: 87883361
{'aut_label': '204E1', 'centralizer': '2.b1.a1', 'counter': 965, 'group_counter': 17, 'group_order': 4896, 'label': '204E41', 'order': 204, 'powers': [549, 307, 55], 'representative': 25177798112, 'size': 2}
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id: 87883362
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id: 87881570
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id: 87881573
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id: 87881574
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id: 87881575
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id: 87881581
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id: 87881584
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id: 87881600
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id: 87881616
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id: 87881621
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id: 87881670
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id: 87881716
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id: 87881717
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id: 87881718
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id: 87881719
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1139, 'group_counter': 17, 'group_order': 4896, 'label': '408A11', 'order': 408, 'powers': [787, 631, 87], 'representative': 19499110050, 'size': 1}
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id: 87881721
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1140, 'group_counter': 17, 'group_order': 4896, 'label': '408A-11', 'order': 408, 'powers': [788, 632, 88], 'representative': 12862570840, 'size': 1}
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id: 87881722
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1141, 'group_counter': 17, 'group_order': 4896, 'label': '408A13', 'order': 408, 'powers': [789, 633, 88], 'representative': 8346987460, 'size': 1}
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id: 87881723
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1142, 'group_counter': 17, 'group_order': 4896, 'label': '408A-13', 'order': 408, 'powers': [790, 634, 87], 'representative': 3899822010, 'size': 1}
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id: 87881724
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1143, 'group_counter': 17, 'group_order': 4896, 'label': '408A19', 'order': 408, 'powers': [791, 637, 84], 'representative': 8894330900, 'size': 1}
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id: 87881725
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1144, 'group_counter': 17, 'group_order': 4896, 'label': '408A-19', 'order': 408, 'powers': [792, 638, 83], 'representative': 8825912970, 'size': 1}
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id: 87881726
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1145, 'group_counter': 17, 'group_order': 4896, 'label': '408A23', 'order': 408, 'powers': [793, 641, 82], 'representative': 13341496350, 'size': 1}
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id: 87881727
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1146, 'group_counter': 17, 'group_order': 4896, 'label': '408A-23', 'order': 408, 'powers': [794, 642, 81], 'representative': 5883941980, 'size': 1}
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id: 87881728
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1147, 'group_counter': 17, 'group_order': 4896, 'label': '408A25', 'order': 408, 'powers': [795, 643, 81], 'representative': 7183882650, 'size': 1}
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id: 87881729
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1148, 'group_counter': 17, 'group_order': 4896, 'label': '408A-25', 'order': 408, 'powers': [796, 644, 82], 'representative': 22920006550, 'size': 1}
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id: 87881730
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1149, 'group_counter': 17, 'group_order': 4896, 'label': '408A29', 'order': 408, 'powers': [797, 647, 83], 'representative': 24767290660, 'size': 1}
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id: 87881732
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1150, 'group_counter': 17, 'group_order': 4896, 'label': '408A-29', 'order': 408, 'powers': [798, 648, 84], 'representative': 5952359910, 'size': 1}
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id: 87881733
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1151, 'group_counter': 17, 'group_order': 4896, 'label': '408A31', 'order': 408, 'powers': [799, 649, 85], 'representative': 9031166760, 'size': 1}
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id: 87881734
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1152, 'group_counter': 17, 'group_order': 4896, 'label': '408A-31', 'order': 408, 'powers': [800, 650, 86], 'representative': 15051944600, 'size': 1}
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id: 87881735
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1153, 'group_counter': 17, 'group_order': 4896, 'label': '408A35', 'order': 408, 'powers': [801, 653, 87], 'representative': 13546750140, 'size': 1}
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id: 87881736
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1154, 'group_counter': 17, 'group_order': 4896, 'label': '408A-35', 'order': 408, 'powers': [802, 654, 88], 'representative': 19362274190, 'size': 1}
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id: 87881737
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1155, 'group_counter': 17, 'group_order': 4896, 'label': '408A37', 'order': 408, 'powers': [803, 655, 88], 'representative': 13752003930, 'size': 1}
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id: 87881738
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1156, 'group_counter': 17, 'group_order': 4896, 'label': '408A-37', 'order': 408, 'powers': [804, 656, 87], 'representative': 11973137750, 'size': 1}
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id: 87881739
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1157, 'group_counter': 17, 'group_order': 4896, 'label': '408A41', 'order': 408, 'powers': [805, 659, 86], 'representative': 6636539210, 'size': 1}
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id: 87881740
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1158, 'group_counter': 17, 'group_order': 4896, 'label': '408A-41', 'order': 408, 'powers': [806, 660, 85], 'representative': 17309736290, 'size': 1}
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id: 87881741
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1159, 'group_counter': 17, 'group_order': 4896, 'label': '408A43', 'order': 408, 'powers': [807, 661, 84], 'representative': 16488721130, 'size': 1}
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id: 87881743
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1160, 'group_counter': 17, 'group_order': 4896, 'label': '408A-43', 'order': 408, 'powers': [808, 662, 83], 'representative': 24151529290, 'size': 1}
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id: 87881744
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1161, 'group_counter': 17, 'group_order': 4896, 'label': '408A47', 'order': 408, 'powers': [809, 665, 82], 'representative': 10741615010, 'size': 1}
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id: 87881745
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1162, 'group_counter': 17, 'group_order': 4896, 'label': '408A-47', 'order': 408, 'powers': [810, 666, 81], 'representative': 6773375070, 'size': 1}
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id: 87881746
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1163, 'group_counter': 17, 'group_order': 4896, 'label': '408A49', 'order': 408, 'powers': [811, 667, 81], 'representative': 7936479880, 'size': 1}
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id: 87881747
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1164, 'group_counter': 17, 'group_order': 4896, 'label': '408A-49', 'order': 408, 'powers': [812, 668, 82], 'representative': 4584001310, 'size': 1}
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id: 87881748
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1165, 'group_counter': 17, 'group_order': 4896, 'label': '408A53', 'order': 408, 'powers': [813, 669, 83], 'representative': 11904719820, 'size': 1}
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id: 87881749
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1166, 'group_counter': 17, 'group_order': 4896, 'label': '408A-53', 'order': 408, 'powers': [814, 670, 84], 'representative': 12383645330, 'size': 1}
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id: 87881750
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1167, 'group_counter': 17, 'group_order': 4896, 'label': '408A55', 'order': 408, 'powers': [815, 671, 85], 'representative': 17172900430, 'size': 1}
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id: 87881751
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1168, 'group_counter': 17, 'group_order': 4896, 'label': '408A-55', 'order': 408, 'powers': [816, 672, 86], 'representative': 3010388920, 'size': 1}
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id: 87881752
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1169, 'group_counter': 17, 'group_order': 4896, 'label': '408A59', 'order': 408, 'powers': [817, 675, 87], 'representative': 11767883960, 'size': 1}
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id: 87881754
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1170, 'group_counter': 17, 'group_order': 4896, 'label': '408A-59', 'order': 408, 'powers': [818, 676, 88], 'representative': 20662214860, 'size': 1}
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id: 87881755
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1171, 'group_counter': 17, 'group_order': 4896, 'label': '408A61', 'order': 408, 'powers': [819, 677, 88], 'representative': 12794152910, 'size': 1}
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id: 87881756
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1172, 'group_counter': 17, 'group_order': 4896, 'label': '408A-61', 'order': 408, 'powers': [820, 678, 87], 'representative': 2394627550, 'size': 1}
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id: 87881757
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1173, 'group_counter': 17, 'group_order': 4896, 'label': '408A65', 'order': 408, 'powers': [821, 681, 86], 'representative': 5199762680, 'size': 1}
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id: 87881758
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1174, 'group_counter': 17, 'group_order': 4896, 'label': '408A-65', 'order': 408, 'powers': [822, 682, 85], 'representative': 20251707280, 'size': 1}
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id: 87881759
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1175, 'group_counter': 17, 'group_order': 4896, 'label': '408A67', 'order': 408, 'powers': [823, 683, 84], 'representative': 26477738910, 'size': 1}
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id: 87881760
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1176, 'group_counter': 17, 'group_order': 4896, 'label': '408A-67', 'order': 408, 'powers': [824, 684, 83], 'representative': 21620065880, 'size': 1}
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id: 87881761
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1177, 'group_counter': 17, 'group_order': 4896, 'label': '408A71', 'order': 408, 'powers': [825, 682, 82], 'representative': 25725141680, 'size': 1}
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id: 87881762
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1178, 'group_counter': 17, 'group_order': 4896, 'label': '408A-71', 'order': 408, 'powers': [826, 681, 81], 'representative': 23741021710, 'size': 1}
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id: 87881763
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1179, 'group_counter': 17, 'group_order': 4896, 'label': '408A73', 'order': 408, 'powers': [827, 680, 81], 'representative': 11699466030, 'size': 1}
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id: 87881765
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1180, 'group_counter': 17, 'group_order': 4896, 'label': '408A-73', 'order': 408, 'powers': [828, 679, 82], 'representative': 12109973610, 'size': 1}
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id: 87881766
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1181, 'group_counter': 17, 'group_order': 4896, 'label': '408A77', 'order': 408, 'powers': [829, 676, 83], 'representative': 3557732360, 'size': 1}
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id: 87881767
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1182, 'group_counter': 17, 'group_order': 4896, 'label': '408A-77', 'order': 408, 'powers': [830, 675, 84], 'representative': 8073315740, 'size': 1}
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id: 87881768
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1183, 'group_counter': 17, 'group_order': 4896, 'label': '408A79', 'order': 408, 'powers': [831, 674, 85], 'representative': 1915702040, 'size': 1}
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id: 87881769
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1184, 'group_counter': 17, 'group_order': 4896, 'label': '408A-79', 'order': 408, 'powers': [832, 673, 86], 'representative': 22988424480, 'size': 1}
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id: 87881770
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1185, 'group_counter': 17, 'group_order': 4896, 'label': '408A83', 'order': 408, 'powers': [833, 670, 87], 'representative': 2873553060, 'size': 1}
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id: 87881771
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1186, 'group_counter': 17, 'group_order': 4896, 'label': '408A-83', 'order': 408, 'powers': [834, 669, 88], 'representative': 15325616320, 'size': 1}
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id: 87881772
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1187, 'group_counter': 17, 'group_order': 4896, 'label': '408A89', 'order': 408, 'powers': [835, 666, 86], 'representative': 25998813400, 'size': 1}
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id: 87881773
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1188, 'group_counter': 17, 'group_order': 4896, 'label': '408A-89', 'order': 408, 'powers': [836, 665, 85], 'representative': 9646928130, 'size': 1}
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id: 87881774
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1189, 'group_counter': 17, 'group_order': 4896, 'label': '408A91', 'order': 408, 'powers': [837, 664, 84], 'representative': 20456961070, 'size': 1}
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id: 87881776
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1190, 'group_counter': 17, 'group_order': 4896, 'label': '408A-91', 'order': 408, 'powers': [838, 663, 83], 'representative': 9920599850, 'size': 1}
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id: 87881777
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1191, 'group_counter': 17, 'group_order': 4896, 'label': '408A95', 'order': 408, 'powers': [839, 660, 82], 'representative': 16693974920, 'size': 1}
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id: 87881778
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1192, 'group_counter': 17, 'group_order': 4896, 'label': '408A-95', 'order': 408, 'powers': [840, 659, 81], 'representative': 15941377690, 'size': 1}
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id: 87881779
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1193, 'group_counter': 17, 'group_order': 4896, 'label': '408A97', 'order': 408, 'powers': [841, 658, 81], 'representative': 2531463410, 'size': 1}
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id: 87881780
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1194, 'group_counter': 17, 'group_order': 4896, 'label': '408A-97', 'order': 408, 'powers': [842, 657, 82], 'representative': 13615168070, 'size': 1}
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id: 87881781
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1195, 'group_counter': 17, 'group_order': 4896, 'label': '408A101', 'order': 408, 'powers': [843, 654, 83], 'representative': 17788661800, 'size': 1}
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id: 87881782
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1196, 'group_counter': 17, 'group_order': 4896, 'label': '408A-101', 'order': 408, 'powers': [844, 653, 84], 'representative': 18404423170, 'size': 1}
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id: 87881783
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1197, 'group_counter': 17, 'group_order': 4896, 'label': '408A103', 'order': 408, 'powers': [844, 652, 85], 'representative': 9578510200, 'size': 1}
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id: 87881784
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1198, 'group_counter': 17, 'group_order': 4896, 'label': '408A-103', 'order': 408, 'powers': [843, 651, 86], 'representative': 10194271570, 'size': 1}
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id: 87881785
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1199, 'group_counter': 17, 'group_order': 4896, 'label': '408A107', 'order': 408, 'powers': [842, 648, 87], 'representative': 14367765300, 'size': 1}
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id: 87881788
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1200, 'group_counter': 17, 'group_order': 4896, 'label': '408A-107', 'order': 408, 'powers': [841, 647, 88], 'representative': 25451469960, 'size': 1}
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id: 87881789
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1201, 'group_counter': 17, 'group_order': 4896, 'label': '408A109', 'order': 408, 'powers': [840, 646, 88], 'representative': 12041555680, 'size': 1}
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id: 87881790
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1202, 'group_counter': 17, 'group_order': 4896, 'label': '408A-109', 'order': 408, 'powers': [839, 645, 87], 'representative': 11288958450, 'size': 1}
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id: 87881791
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1203, 'group_counter': 17, 'group_order': 4896, 'label': '408A113', 'order': 408, 'powers': [838, 642, 86], 'representative': 18062333520, 'size': 1}
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id: 87881792
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1204, 'group_counter': 17, 'group_order': 4896, 'label': '408A-113', 'order': 408, 'powers': [837, 641, 85], 'representative': 7525972300, 'size': 1}
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id: 87881793
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1205, 'group_counter': 17, 'group_order': 4896, 'label': '408A115', 'order': 408, 'powers': [836, 640, 84], 'representative': 18336005240, 'size': 1}
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id: 87881794
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1206, 'group_counter': 17, 'group_order': 4896, 'label': '408A-115', 'order': 408, 'powers': [835, 639, 83], 'representative': 1984119970, 'size': 1}
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id: 87881795
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1207, 'group_counter': 17, 'group_order': 4896, 'label': '408A121', 'order': 408, 'powers': [834, 636, 81], 'representative': 12657317050, 'size': 1}
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id: 87881796
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1208, 'group_counter': 17, 'group_order': 4896, 'label': '408A-121', 'order': 408, 'powers': [833, 635, 82], 'representative': 25109380310, 'size': 1}
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id: 87881797
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1209, 'group_counter': 17, 'group_order': 4896, 'label': '408A125', 'order': 408, 'powers': [832, 632, 83], 'representative': 4994508890, 'size': 1}
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id: 87881799
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1210, 'group_counter': 17, 'group_order': 4896, 'label': '408A-125', 'order': 408, 'powers': [831, 631, 84], 'representative': 26067231330, 'size': 1}
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id: 87881800
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1211, 'group_counter': 17, 'group_order': 4896, 'label': '408A127', 'order': 408, 'powers': [830, 630, 85], 'representative': 19909617630, 'size': 1}
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id: 87881801
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1212, 'group_counter': 17, 'group_order': 4896, 'label': '408A-127', 'order': 408, 'powers': [829, 629, 86], 'representative': 24425201010, 'size': 1}
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id: 87881802
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1213, 'group_counter': 17, 'group_order': 4896, 'label': '408A131', 'order': 408, 'powers': [828, 626, 87], 'representative': 15872959760, 'size': 1}
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id: 87881803
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1214, 'group_counter': 17, 'group_order': 4896, 'label': '408A-131', 'order': 408, 'powers': [827, 625, 88], 'representative': 16283467340, 'size': 1}
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id: 87881804
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1215, 'group_counter': 17, 'group_order': 4896, 'label': '408A133', 'order': 408, 'powers': [826, 624, 88], 'representative': 4241911660, 'size': 1}
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id: 87881805
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1216, 'group_counter': 17, 'group_order': 4896, 'label': '408A-133', 'order': 408, 'powers': [825, 623, 87], 'representative': 2257791690, 'size': 1}
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id: 87881806
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1217, 'group_counter': 17, 'group_order': 4896, 'label': '408A137', 'order': 408, 'powers': [824, 621, 86], 'representative': 6362867490, 'size': 1}
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id: 87881807
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1218, 'group_counter': 17, 'group_order': 4896, 'label': '408A-137', 'order': 408, 'powers': [823, 622, 85], 'representative': 1505194460, 'size': 1}
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id: 87881808
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1219, 'group_counter': 17, 'group_order': 4896, 'label': '408A139', 'order': 408, 'powers': [822, 623, 84], 'representative': 7731226090, 'size': 1}
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id: 87881810
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1220, 'group_counter': 17, 'group_order': 4896, 'label': '408A-139', 'order': 408, 'powers': [821, 624, 83], 'representative': 22783170690, 'size': 1}
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id: 87881811
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1221, 'group_counter': 17, 'group_order': 4896, 'label': '408A143', 'order': 408, 'powers': [820, 627, 82], 'representative': 25588305820, 'size': 1}
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id: 87881812
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id: 87881813
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id: 87881814
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id: 87881815
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id: 87881816
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id: 87881817
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id: 87881818
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id: 87881819
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id: 87881821
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id: 87881822
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id: 87881823
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id: 87881824
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id: 87881825
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1234, 'group_counter': 17, 'group_order': 4896, 'label': '408A-161', 'order': 408, 'powers': [807, 644, 85], 'representative': 11494212240, 'size': 1}
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id: 87881826
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id: 87881827
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id: 87881828
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id: 87881829
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id: 87881830
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id: 87881832
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1240, 'group_counter': 17, 'group_order': 4896, 'label': '408A-169', 'order': 408, 'powers': [801, 652, 82], 'representative': 14436183230, 'size': 1}
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id: 87881833
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id: 87881834
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id: 87881835
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id: 87881836
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id: 87881837
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id: 87881838
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id: 87881839
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id: 87881840
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id: 87881841
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id: 87881843
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id: 87881844
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1251, 'group_counter': 17, 'group_order': 4896, 'label': '408A191', 'order': 408, 'powers': [790, 671, 82], 'representative': 24083111360, 'size': 1}
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id: 87881845
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id: 87881846
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id: 87881847
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id: 87881848
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id: 87881849
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id: 87881850
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id: 87881851
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1258, 'group_counter': 17, 'group_order': 4896, 'label': '408A-199', 'order': 408, 'powers': [783, 680, 86], 'representative': 11836301890, 'size': 1}
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id: 87881852
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1259, 'group_counter': 17, 'group_order': 4896, 'label': '408A203', 'order': 408, 'powers': [782, 683, 87], 'representative': 25314634100, 'size': 1}
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id: 87881854
{'aut_label': '408A1', 'centralizer': '1.a1.a1', 'counter': 1260, 'group_counter': 17, 'group_order': 4896, 'label': '408A-203', 'order': 408, 'powers': [781, 684, 88], 'representative': 26546156840, 'size': 1}
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id: 87881855
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1261, 'group_counter': 17, 'group_order': 4896, 'label': '408B1', 'order': 408, 'powers': [909, 621, 89], 'representative': 6362867418, 'size': 2}
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id: 87881856
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1262, 'group_counter': 17, 'group_order': 4896, 'label': '408B-1', 'order': 408, 'powers': [910, 622, 90], 'representative': 2668299253, 'size': 2}
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id: 87881857
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1263, 'group_counter': 17, 'group_order': 4896, 'label': '408B5', 'order': 408, 'powers': [911, 625, 91], 'representative': 16283467338, 'size': 2}
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id: 87881858
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1264, 'group_counter': 17, 'group_order': 4896, 'label': '408B-5', 'order': 408, 'powers': [912, 626, 92], 'representative': 15872959554, 'size': 2}
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id: 87881859
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id: 87881860
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1266, 'group_counter': 17, 'group_order': 4896, 'label': '408B-7', 'order': 408, 'powers': [914, 628, 89], 'representative': 19293856200, 'size': 2}
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id: 87881861
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1267, 'group_counter': 17, 'group_order': 4896, 'label': '408B11', 'order': 408, 'powers': [915, 631, 92], 'representative': 26067231234, 'size': 2}
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id: 87881862
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1268, 'group_counter': 17, 'group_order': 4896, 'label': '408B-11', 'order': 408, 'powers': [916, 632, 91], 'representative': 12862570725, 'size': 2}
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id: 87881863
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1269, 'group_counter': 17, 'group_order': 4896, 'label': '408B13', 'order': 408, 'powers': [917, 633, 91], 'representative': 24972544207, 'size': 2}
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id: 87881865
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1270, 'group_counter': 17, 'group_order': 4896, 'label': '408B-13', 'order': 408, 'powers': [918, 634, 92], 'representative': 10810032839, 'size': 2}
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id: 87881866
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1271, 'group_counter': 17, 'group_order': 4896, 'label': '408B19', 'order': 408, 'powers': [919, 637, 92], 'representative': 23398931848, 'size': 2}
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id: 87881867
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1272, 'group_counter': 17, 'group_order': 4896, 'label': '408B-19', 'order': 408, 'powers': [920, 638, 91], 'representative': 20046453326, 'size': 2}
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id: 87881868
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1273, 'group_counter': 17, 'group_order': 4896, 'label': '408B23', 'order': 408, 'powers': [921, 641, 90], 'representative': 13341496265, 'size': 2}
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id: 87881869
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1274, 'group_counter': 17, 'group_order': 4896, 'label': '408B-23', 'order': 408, 'powers': [922, 642, 89], 'representative': 18062333342, 'size': 2}
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id: 87881870
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1275, 'group_counter': 17, 'group_order': 4896, 'label': '408B25', 'order': 408, 'powers': [923, 643, 89], 'representative': 7183882601, 'size': 2}
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id: 87881871
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1276, 'group_counter': 17, 'group_order': 4896, 'label': '408B-25', 'order': 408, 'powers': [924, 644, 90], 'representative': 22920006383, 'size': 2}
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id: 87881872
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1277, 'group_counter': 17, 'group_order': 4896, 'label': '408B29', 'order': 408, 'powers': [925, 647, 91], 'representative': 25451469950, 'size': 2}
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id: 87881873
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1278, 'group_counter': 17, 'group_order': 4896, 'label': '408B-29', 'order': 408, 'powers': [926, 648, 92], 'representative': 14367765177, 'size': 2}
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id: 87881874
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1279, 'group_counter': 17, 'group_order': 4896, 'label': '408B31', 'order': 408, 'powers': [927, 649, 90], 'representative': 16009795518, 'size': 2}
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id: 87881876
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1280, 'group_counter': 17, 'group_order': 4896, 'label': '408B-31', 'order': 408, 'powers': [928, 650, 89], 'representative': 15051944588, 'size': 2}
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id: 87881877
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1281, 'group_counter': 17, 'group_order': 4896, 'label': '408B35', 'order': 408, 'powers': [929, 653, 92], 'representative': 18404423099, 'size': 2}
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id: 87881878
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1282, 'group_counter': 17, 'group_order': 4896, 'label': '408B-35', 'order': 408, 'powers': [930, 654, 91], 'representative': 19362274167, 'size': 2}
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id: 87881879
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1283, 'group_counter': 17, 'group_order': 4896, 'label': '408B37', 'order': 408, 'powers': [928, 655, 91], 'representative': 13752003918, 'size': 2}
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id: 87881880
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1284, 'group_counter': 17, 'group_order': 4896, 'label': '408B-37', 'order': 408, 'powers': [927, 656, 92], 'representative': 18951766508, 'size': 2}
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id: 87881881
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1285, 'group_counter': 17, 'group_order': 4896, 'label': '408B41', 'order': 408, 'powers': [931, 659, 89], 'representative': 15941377554, 'size': 2}
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id: 87881882
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1286, 'group_counter': 17, 'group_order': 4896, 'label': '408B-41', 'order': 408, 'powers': [932, 660, 90], 'representative': 17309736281, 'size': 2}
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id: 87881883
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1287, 'group_counter': 17, 'group_order': 4896, 'label': '408B43', 'order': 408, 'powers': [924, 661, 92], 'representative': 16488720963, 'size': 2}
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id: 87881884
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1288, 'group_counter': 17, 'group_order': 4896, 'label': '408B-43', 'order': 408, 'powers': [923, 662, 91], 'representative': 24151529241, 'size': 2}
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id: 87881885
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1289, 'group_counter': 17, 'group_order': 4896, 'label': '408B47', 'order': 408, 'powers': [933, 665, 90], 'representative': 10741614994, 'size': 2}
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id: 87881887
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1290, 'group_counter': 17, 'group_order': 4896, 'label': '408B-47', 'order': 408, 'powers': [934, 666, 89], 'representative': 25998813119, 'size': 2}
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id: 87881888
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1291, 'group_counter': 17, 'group_order': 4896, 'label': '408B49', 'order': 408, 'powers': [920, 667, 89], 'representative': 19157020236, 'size': 2}
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id: 87881889
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1292, 'group_counter': 17, 'group_order': 4896, 'label': '408B-49', 'order': 408, 'powers': [919, 668, 90], 'representative': 19088602258, 'size': 2}
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id: 87881890
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1293, 'group_counter': 17, 'group_order': 4896, 'label': '408B53', 'order': 408, 'powers': [935, 669, 91], 'representative': 15325616270, 'size': 2}
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id: 87881891
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1294, 'group_counter': 17, 'group_order': 4896, 'label': '408B-53', 'order': 408, 'powers': [936, 670, 92], 'representative': 12383645191, 'size': 2}
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id: 87881892
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1295, 'group_counter': 17, 'group_order': 4896, 'label': '408B55', 'order': 408, 'powers': [918, 671, 90], 'representative': 24083111259, 'size': 2}
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id: 87881893
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1296, 'group_counter': 17, 'group_order': 4896, 'label': '408B-55', 'order': 408, 'powers': [917, 672, 89], 'representative': 19635945667, 'size': 2}
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id: 87881894
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1297, 'group_counter': 17, 'group_order': 4896, 'label': '408B59', 'order': 408, 'powers': [937, 675, 92], 'representative': 11767883906, 'size': 2}
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id: 87881895
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1298, 'group_counter': 17, 'group_order': 4896, 'label': '408B-59', 'order': 408, 'powers': [938, 676, 91], 'representative': 20662214610, 'size': 2}
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id: 87881896
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1299, 'group_counter': 17, 'group_order': 4896, 'label': '408B61', 'order': 408, 'powers': [914, 677, 91], 'representative': 12794152850, 'size': 2}
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id: 87881899
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1300, 'group_counter': 17, 'group_order': 4896, 'label': '408B-61', 'order': 408, 'powers': [913, 678, 92], 'representative': 14983526486, 'size': 2}
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id: 87881900
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1301, 'group_counter': 17, 'group_order': 4896, 'label': '408B65', 'order': 408, 'powers': [939, 681, 89], 'representative': 23741021439, 'size': 2}
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id: 87881901
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1302, 'group_counter': 17, 'group_order': 4896, 'label': '408B-65', 'order': 408, 'powers': [940, 682, 90], 'representative': 25725141600, 'size': 2}
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id: 87881902
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1303, 'group_counter': 17, 'group_order': 4896, 'label': '408B67', 'order': 408, 'powers': [910, 683, 92], 'representative': 26477738893, 'size': 2}
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id: 87881903
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1304, 'group_counter': 17, 'group_order': 4896, 'label': '408B-67', 'order': 408, 'powers': [909, 684, 91], 'representative': 26546156768, 'size': 2}
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id: 87881904
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1305, 'group_counter': 17, 'group_order': 4896, 'label': '408B73', 'order': 408, 'powers': [911, 680, 89], 'representative': 11836301888, 'size': 2}
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id: 87881905
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1306, 'group_counter': 17, 'group_order': 4896, 'label': '408B-73', 'order': 408, 'powers': [912, 679, 90], 'representative': 26204066984, 'size': 2}
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id: 87881906
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id: 87881907
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1308, 'group_counter': 17, 'group_order': 4896, 'label': '408B-79', 'order': 408, 'powers': [916, 673, 89], 'representative': 22988424365, 'size': 2}
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id: 87881908
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1309, 'group_counter': 17, 'group_order': 4896, 'label': '408B91', 'order': 408, 'powers': [921, 664, 92], 'representative': 20456960985, 'size': 2}
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id: 87881910
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1310, 'group_counter': 17, 'group_order': 4896, 'label': '408B-91', 'order': 408, 'powers': [922, 663, 91], 'representative': 22098991212, 'size': 2}
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id: 87881911
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1311, 'group_counter': 17, 'group_order': 4896, 'label': '408B97', 'order': 408, 'powers': [925, 658, 89], 'representative': 3215642700, 'size': 2}
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id: 87881912
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1312, 'group_counter': 17, 'group_order': 4896, 'label': '408B-97', 'order': 408, 'powers': [926, 657, 90], 'representative': 22030573337, 'size': 2}
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id: 87881913
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1313, 'group_counter': 17, 'group_order': 4896, 'label': '408B103', 'order': 408, 'powers': [929, 652, 90], 'representative': 14436183159, 'size': 2}
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id: 87881914
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1314, 'group_counter': 17, 'group_order': 4896, 'label': '408B-103', 'order': 408, 'powers': [930, 651, 89], 'representative': 10194271547, 'size': 2}
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id: 87881915
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1315, 'group_counter': 17, 'group_order': 4896, 'label': '408B109', 'order': 408, 'powers': [931, 646, 91], 'representative': 21346394024, 'size': 2}
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id: 87881916
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1316, 'group_counter': 17, 'group_order': 4896, 'label': '408B-109', 'order': 408, 'powers': [932, 645, 92], 'representative': 11288958441, 'size': 2}
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id: 87881917
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1317, 'group_counter': 17, 'group_order': 4896, 'label': '408B115', 'order': 408, 'powers': [933, 640, 92], 'representative': 18336005224, 'size': 2}
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id: 87881918
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1318, 'group_counter': 17, 'group_order': 4896, 'label': '408B-115', 'order': 408, 'powers': [934, 639, 91], 'representative': 21209558019, 'size': 2}
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id: 87881919
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1319, 'group_counter': 17, 'group_order': 4896, 'label': '408B121', 'order': 408, 'powers': [935, 636, 89], 'representative': 16078213500, 'size': 2}
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id: 87881921
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1320, 'group_counter': 17, 'group_order': 4896, 'label': '408B-121', 'order': 408, 'powers': [936, 635, 90], 'representative': 25109380171, 'size': 2}
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id: 87881922
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1321, 'group_counter': 17, 'group_order': 4896, 'label': '408B127', 'order': 408, 'powers': [937, 630, 90], 'representative': 19909617576, 'size': 2}
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id: 87881923
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1322, 'group_counter': 17, 'group_order': 4896, 'label': '408B-127', 'order': 408, 'powers': [938, 629, 89], 'representative': 24425200760, 'size': 2}
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id: 87881924
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1323, 'group_counter': 17, 'group_order': 4896, 'label': '408B133', 'order': 408, 'powers': [939, 624, 91], 'representative': 22783170419, 'size': 2}
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id: 87881925
{'aut_label': '408B1', 'centralizer': '2.b1.a1', 'counter': 1324, 'group_counter': 17, 'group_order': 4896, 'label': '408B-133', 'order': 408, 'powers': [940, 623, 92], 'representative': 7731226010, 'size': 2}
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id: 87881926
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1325, 'group_counter': 17, 'group_order': 4896, 'label': '408C1', 'order': 408, 'powers': [909, 685, 93], 'representative': 21620065585, 'size': 2}
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id: 87881927
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1326, 'group_counter': 17, 'group_order': 4896, 'label': '408C-1', 'order': 408, 'powers': [910, 686, 94], 'representative': 26477738562, 'size': 2}
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id: 87881928
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1327, 'group_counter': 17, 'group_order': 4896, 'label': '408C5', 'order': 408, 'powers': [911, 689, 93], 'representative': 16146631415, 'size': 2}
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id: 87881929
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1328, 'group_counter': 17, 'group_order': 4896, 'label': '408C-5', 'order': 408, 'powers': [912, 690, 94], 'representative': 12109973459, 'size': 2}
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id: 87881930
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1329, 'group_counter': 17, 'group_order': 4896, 'label': '408C7', 'order': 408, 'powers': [913, 691, 95], 'representative': 12999406545, 'size': 2}
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id: 87881932
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1330, 'group_counter': 17, 'group_order': 4896, 'label': '408C-7', 'order': 408, 'powers': [914, 692, 96], 'representative': 19293856165, 'size': 2}
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id: 87881933
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1331, 'group_counter': 17, 'group_order': 4896, 'label': '408C11', 'order': 408, 'powers': [915, 695, 95], 'representative': 19499109793, 'size': 2}
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id: 87881934
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1332, 'group_counter': 17, 'group_order': 4896, 'label': '408C-11', 'order': 408, 'powers': [916, 696, 96], 'representative': 22988424332, 'size': 2}
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id: 87881935
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1333, 'group_counter': 17, 'group_order': 4896, 'label': '408C13', 'order': 408, 'powers': [917, 697, 96], 'representative': 8346987382, 'size': 2}
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id: 87881936
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1334, 'group_counter': 17, 'group_order': 4896, 'label': '408C-13', 'order': 408, 'powers': [918, 698, 95], 'representative': 17172900236, 'size': 2}
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id: 87881937
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1335, 'group_counter': 17, 'group_order': 4896, 'label': '408C19', 'order': 408, 'powers': [919, 701, 94], 'representative': 8894330837, 'size': 2}
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id: 87881938
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1336, 'group_counter': 17, 'group_order': 4896, 'label': '408C-19', 'order': 408, 'powers': [920, 702, 93], 'representative': 8825912957, 'size': 2}
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id: 87881939
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1337, 'group_counter': 17, 'group_order': 4896, 'label': '408C23', 'order': 408, 'powers': [921, 705, 94], 'representative': 20456960966, 'size': 2}
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id: 87881940
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1338, 'group_counter': 17, 'group_order': 4896, 'label': '408C-23', 'order': 408, 'powers': [922, 706, 93], 'representative': 9920599791, 'size': 2}
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id: 87881941
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1339, 'group_counter': 17, 'group_order': 4896, 'label': '408C25', 'order': 408, 'powers': [923, 707, 93], 'representative': 24151529042, 'size': 2}
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id: 87881943
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1340, 'group_counter': 17, 'group_order': 4896, 'label': '408C-25', 'order': 408, 'powers': [924, 708, 94], 'representative': 22920006456, 'size': 2}
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id: 87881944
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1341, 'group_counter': 17, 'group_order': 4896, 'label': '408C29', 'order': 408, 'powers': [925, 711, 93], 'representative': 24767290335, 'size': 2}
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id: 87881945
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1342, 'group_counter': 17, 'group_order': 4896, 'label': '408C-29', 'order': 408, 'powers': [926, 712, 94], 'representative': 13615167958, 'size': 2}
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id: 87881946
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1343, 'group_counter': 17, 'group_order': 4896, 'label': '408C31', 'order': 408, 'powers': [927, 713, 95], 'representative': 11973137707, 'size': 2}
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id: 87881947
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1344, 'group_counter': 17, 'group_order': 4896, 'label': '408C-31', 'order': 408, 'powers': [928, 714, 96], 'representative': 15051944581, 'size': 2}
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id: 87881948
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1345, 'group_counter': 17, 'group_order': 4896, 'label': '408C35', 'order': 408, 'powers': [929, 716, 95], 'representative': 13546750082, 'size': 2}
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id: 87881949
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1346, 'group_counter': 17, 'group_order': 4896, 'label': '408C-35', 'order': 408, 'powers': [930, 715, 96], 'representative': 19362274056, 'size': 2}
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id: 87881950
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1347, 'group_counter': 17, 'group_order': 4896, 'label': '408C41', 'order': 408, 'powers': [931, 710, 96], 'representative': 12041555601, 'size': 2}
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id: 87881951
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1348, 'group_counter': 17, 'group_order': 4896, 'label': '408C-41', 'order': 408, 'powers': [932, 709, 95], 'representative': 17309736202, 'size': 2}
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id: 87881952
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1349, 'group_counter': 17, 'group_order': 4896, 'label': '408C47', 'order': 408, 'powers': [933, 704, 94], 'representative': 18336005129, 'size': 2}
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id: 87881954
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1350, 'group_counter': 17, 'group_order': 4896, 'label': '408C-47', 'order': 408, 'powers': [934, 703, 93], 'representative': 6773375000, 'size': 2}
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id: 87881955
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1351, 'group_counter': 17, 'group_order': 4896, 'label': '408C53', 'order': 408, 'powers': [935, 700, 93], 'representative': 12657317039, 'size': 2}
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id: 87881956
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1352, 'group_counter': 17, 'group_order': 4896, 'label': '408C-53', 'order': 408, 'powers': [936, 699, 94], 'representative': 25109380124, 'size': 2}
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id: 87881957
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1353, 'group_counter': 17, 'group_order': 4896, 'label': '408C59', 'order': 408, 'powers': [937, 694, 95], 'representative': 19909617511, 'size': 2}
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id: 87881958
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1354, 'group_counter': 17, 'group_order': 4896, 'label': '408C-59', 'order': 408, 'powers': [938, 693, 96], 'representative': 24425200955, 'size': 2}
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id: 87881959
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1355, 'group_counter': 17, 'group_order': 4896, 'label': '408C65', 'order': 408, 'powers': [939, 688, 96], 'representative': 5199762666, 'size': 2}
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id: 87881960
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1356, 'group_counter': 17, 'group_order': 4896, 'label': '408C-65', 'order': 408, 'powers': [940, 687, 95], 'representative': 20251707017, 'size': 2}
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id: 87881961
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1357, 'group_counter': 17, 'group_order': 4896, 'label': '408C71', 'order': 408, 'powers': [940, 687, 94], 'representative': 25725141417, 'size': 2}
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id: 87881962
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1358, 'group_counter': 17, 'group_order': 4896, 'label': '408C-71', 'order': 408, 'powers': [939, 688, 93], 'representative': 23741021696, 'size': 2}
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id: 87881963
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1359, 'group_counter': 17, 'group_order': 4896, 'label': '408C77', 'order': 408, 'powers': [938, 693, 93], 'representative': 7320718455, 'size': 2}
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id: 87881965
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1360, 'group_counter': 17, 'group_order': 4896, 'label': '408C-77', 'order': 408, 'powers': [937, 694, 94], 'representative': 16215049291, 'size': 2}
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id: 87881966
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1361, 'group_counter': 17, 'group_order': 4896, 'label': '408C83', 'order': 408, 'powers': [936, 699, 95], 'representative': 15599287854, 'size': 2}
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id: 87881967
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1362, 'group_counter': 17, 'group_order': 4896, 'label': '408C-83', 'order': 408, 'powers': [935, 700, 96], 'representative': 16078213539, 'size': 2}
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id: 87881968
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1363, 'group_counter': 17, 'group_order': 4896, 'label': '408C89', 'order': 408, 'powers': [934, 703, 96], 'representative': 25998813330, 'size': 2}
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id: 87881969
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1364, 'group_counter': 17, 'group_order': 4896, 'label': '408C-89', 'order': 408, 'powers': [933, 704, 95], 'representative': 17241318249, 'size': 2}
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id: 87881970
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1365, 'group_counter': 17, 'group_order': 4896, 'label': '408C95', 'order': 408, 'powers': [932, 709, 94], 'representative': 16693974832, 'size': 2}
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id: 87881971
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1366, 'group_counter': 17, 'group_order': 4896, 'label': '408C-95', 'order': 408, 'powers': [931, 710, 93], 'representative': 21346394081, 'size': 2}
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id: 87881972
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1367, 'group_counter': 17, 'group_order': 4896, 'label': '408C101', 'order': 408, 'powers': [930, 715, 93], 'representative': 17788661666, 'size': 2}
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id: 87881973
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1368, 'group_counter': 17, 'group_order': 4896, 'label': '408C-101', 'order': 408, 'powers': [929, 716, 94], 'representative': 18404423112, 'size': 2}
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id: 87881974
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1369, 'group_counter': 17, 'group_order': 4896, 'label': '408C107', 'order': 408, 'powers': [926, 712, 95], 'representative': 22030573348, 'size': 2}
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id: 87881976
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1370, 'group_counter': 17, 'group_order': 4896, 'label': '408C-107', 'order': 408, 'powers': [925, 711, 96], 'representative': 25451469635, 'size': 2}
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id: 87881977
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1371, 'group_counter': 17, 'group_order': 4896, 'label': '408C113', 'order': 408, 'powers': [922, 706, 96], 'representative': 22098991331, 'size': 2}
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id: 87881978
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1372, 'group_counter': 17, 'group_order': 4896, 'label': '408C-113', 'order': 408, 'powers': [921, 705, 95], 'representative': 14641436916, 'size': 2}
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id: 87881979
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1373, 'group_counter': 17, 'group_order': 4896, 'label': '408C125', 'order': 408, 'powers': [916, 696, 93], 'representative': 15120362382, 'size': 2}
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id: 87881980
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1374, 'group_counter': 17, 'group_order': 4896, 'label': '408C-125', 'order': 408, 'powers': [915, 695, 94], 'representative': 26067231073, 'size': 2}
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id: 87881981
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1375, 'group_counter': 17, 'group_order': 4896, 'label': '408C131', 'order': 408, 'powers': [912, 690, 95], 'representative': 26204067039, 'size': 2}
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id: 87881982
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1376, 'group_counter': 17, 'group_order': 4896, 'label': '408C-131', 'order': 408, 'powers': [911, 689, 96], 'representative': 16283467275, 'size': 2}
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id: 87881983
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1377, 'group_counter': 17, 'group_order': 4896, 'label': '408C137', 'order': 408, 'powers': [909, 685, 96], 'representative': 26546156545, 'size': 2}
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id: 87881984
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1378, 'group_counter': 17, 'group_order': 4896, 'label': '408C-137', 'order': 408, 'powers': [910, 686, 95], 'representative': 25314633752, 'size': 2}
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id: 87881985
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1379, 'group_counter': 17, 'group_order': 4896, 'label': '408C143', 'order': 408, 'powers': [913, 691, 94], 'representative': 25588305665, 'size': 2}
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id: 87881987
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1380, 'group_counter': 17, 'group_order': 4896, 'label': '408C-143', 'order': 408, 'powers': [914, 692, 93], 'representative': 15188780365, 'size': 2}
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id: 87881988
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1381, 'group_counter': 17, 'group_order': 4896, 'label': '408C149', 'order': 408, 'powers': [917, 697, 93], 'representative': 24972544372, 'size': 2}
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id: 87881989
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1382, 'group_counter': 17, 'group_order': 4896, 'label': '408C-149', 'order': 408, 'powers': [918, 698, 94], 'representative': 24083111166, 'size': 2}
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id: 87881990
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1383, 'group_counter': 17, 'group_order': 4896, 'label': '408C155', 'order': 408, 'powers': [919, 701, 95], 'representative': 23398931997, 'size': 2}
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id: 87881991
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1384, 'group_counter': 17, 'group_order': 4896, 'label': '408C-155', 'order': 408, 'powers': [920, 702, 96], 'representative': 20046453477, 'size': 2}
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id: 87881992
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1385, 'group_counter': 17, 'group_order': 4896, 'label': '408C161', 'order': 408, 'powers': [923, 707, 96], 'representative': 20799050472, 'size': 2}
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id: 87881993
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1386, 'group_counter': 17, 'group_order': 4896, 'label': '408C-161', 'order': 408, 'powers': [924, 708, 95], 'representative': 11494212146, 'size': 2}
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id: 87881994
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1387, 'group_counter': 17, 'group_order': 4896, 'label': '408C167', 'order': 408, 'powers': [927, 713, 94], 'representative': 18951766567, 'size': 2}
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id: 87881995
{'aut_label': '408C1', 'centralizer': '2.b1.a1', 'counter': 1388, 'group_counter': 17, 'group_order': 4896, 'label': '408C-167', 'order': 408, 'powers': [928, 714, 93], 'representative': 14230929421, 'size': 2}
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id: 87881996
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1389, 'group_counter': 17, 'group_order': 4896, 'label': '408D1', 'order': 408, 'powers': [781, 685, 97], 'representative': 26546156473, 'size': 2}
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id: 87881998
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1390, 'group_counter': 17, 'group_order': 4896, 'label': '408D-1', 'order': 408, 'powers': [782, 686, 98], 'representative': 25314633769, 'size': 2}
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id: 87881999
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1391, 'group_counter': 17, 'group_order': 4896, 'label': '408D5', 'order': 408, 'powers': [783, 689, 99], 'representative': 16146631417, 'size': 2}
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id: 87882000
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id: 87882001
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id: 87882002
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1394, 'group_counter': 17, 'group_order': 4896, 'label': '408D-7', 'order': 408, 'powers': [786, 692, 99], 'representative': 19293856105, 'size': 2}
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id: 87882003
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1395, 'group_counter': 17, 'group_order': 4896, 'label': '408D11', 'order': 408, 'powers': [787, 695, 98], 'representative': 19499109889, 'size': 2}
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id: 87882004
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1396, 'group_counter': 17, 'group_order': 4896, 'label': '408D-11', 'order': 408, 'powers': [788, 696, 97], 'representative': 15120362497, 'size': 2}
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id: 87882005
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1397, 'group_counter': 17, 'group_order': 4896, 'label': '408D13', 'order': 408, 'powers': [789, 697, 97], 'representative': 19635945745, 'size': 2}
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id: 87882006
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1398, 'group_counter': 17, 'group_order': 4896, 'label': '408D-13', 'order': 408, 'powers': [790, 698, 98], 'representative': 24083111065, 'size': 2}
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id: 87882007
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1399, 'group_counter': 17, 'group_order': 4896, 'label': '408D19', 'order': 408, 'powers': [791, 701, 100], 'representative': 19088602321, 'size': 2}
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id: 87882010
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1400, 'group_counter': 17, 'group_order': 4896, 'label': '408D-19', 'order': 408, 'powers': [792, 702, 99], 'representative': 19157020249, 'size': 2}
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id: 87882011
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1401, 'group_counter': 17, 'group_order': 4896, 'label': '408D23', 'order': 408, 'powers': [793, 705, 98], 'representative': 14641437001, 'size': 2}
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id: 87882012
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1402, 'group_counter': 17, 'group_order': 4896, 'label': '408D-23', 'order': 408, 'powers': [794, 706, 97], 'representative': 22098991153, 'size': 2}
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id: 87882013
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1403, 'group_counter': 17, 'group_order': 4896, 'label': '408D25', 'order': 408, 'powers': [795, 707, 97], 'representative': 20799050521, 'size': 2}
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id: 87882014
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1404, 'group_counter': 17, 'group_order': 4896, 'label': '408D-25', 'order': 408, 'powers': [796, 708, 98], 'representative': 22920006289, 'size': 2}
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id: 87882015
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1405, 'group_counter': 17, 'group_order': 4896, 'label': '408D29', 'order': 408, 'powers': [797, 711, 99], 'representative': 24767290345, 'size': 2}
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id: 87882016
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1406, 'group_counter': 17, 'group_order': 4896, 'label': '408D-29', 'order': 408, 'powers': [798, 712, 100], 'representative': 22030573225, 'size': 2}
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id: 87882017
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1407, 'group_counter': 17, 'group_order': 4896, 'label': '408D31', 'order': 408, 'powers': [799, 713, 100], 'representative': 18951766465, 'size': 2}
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id: 87882018
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1408, 'group_counter': 17, 'group_order': 4896, 'label': '408D-31', 'order': 408, 'powers': [800, 714, 99], 'representative': 15051944569, 'size': 2}
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id: 87882019
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1409, 'group_counter': 17, 'group_order': 4896, 'label': '408D35', 'order': 408, 'powers': [801, 716, 98], 'representative': 14436183217, 'size': 2}
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id: 87882021
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1410, 'group_counter': 17, 'group_order': 4896, 'label': '408D-35', 'order': 408, 'powers': [802, 715, 97], 'representative': 19362274033, 'size': 2}
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id: 87882022
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1411, 'group_counter': 17, 'group_order': 4896, 'label': '408D37', 'order': 408, 'powers': [803, 714, 97], 'representative': 14230929433, 'size': 2}
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id: 87882023
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1412, 'group_counter': 17, 'group_order': 4896, 'label': '408D-37', 'order': 408, 'powers': [804, 713, 98], 'representative': 16009795561, 'size': 2}
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id: 87882024
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1413, 'group_counter': 17, 'group_order': 4896, 'label': '408D41', 'order': 408, 'powers': [805, 710, 99], 'representative': 21346393945, 'size': 2}
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id: 87882025
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1414, 'group_counter': 17, 'group_order': 4896, 'label': '408D-41', 'order': 408, 'powers': [806, 709, 100], 'representative': 17309736193, 'size': 2}
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id: 87882026
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1415, 'group_counter': 17, 'group_order': 4896, 'label': '408D43', 'order': 408, 'powers': [807, 708, 100], 'representative': 16488721057, 'size': 2}
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id: 87882027
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1416, 'group_counter': 17, 'group_order': 4896, 'label': '408D-43', 'order': 408, 'powers': [808, 707, 99], 'representative': 24151528993, 'size': 2}
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id: 87882028
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1417, 'group_counter': 17, 'group_order': 4896, 'label': '408D47', 'order': 408, 'powers': [809, 704, 98], 'representative': 17241318265, 'size': 2}
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id: 87882029
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1418, 'group_counter': 17, 'group_order': 4896, 'label': '408D-47', 'order': 408, 'powers': [810, 703, 97], 'representative': 21209558089, 'size': 2}
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id: 87882030
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1419, 'group_counter': 17, 'group_order': 4896, 'label': '408D49', 'order': 408, 'powers': [811, 702, 97], 'representative': 20046453313, 'size': 2}
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id: 87882032
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1420, 'group_counter': 17, 'group_order': 4896, 'label': '408D-49', 'order': 408, 'powers': [812, 701, 98], 'representative': 23398931785, 'size': 2}
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id: 87882033
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1421, 'group_counter': 17, 'group_order': 4896, 'label': '408D53', 'order': 408, 'powers': [813, 700, 99], 'representative': 16078213489, 'size': 2}
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id: 87882034
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1422, 'group_counter': 17, 'group_order': 4896, 'label': '408D-53', 'order': 408, 'powers': [814, 699, 100], 'representative': 15599287993, 'size': 2}
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id: 87882035
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1423, 'group_counter': 17, 'group_order': 4896, 'label': '408D55', 'order': 408, 'powers': [815, 698, 100], 'representative': 17172900337, 'size': 2}
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id: 87882036
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1424, 'group_counter': 17, 'group_order': 4896, 'label': '408D-55', 'order': 408, 'powers': [816, 697, 99], 'representative': 24972544129, 'size': 2}
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id: 87882037
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1425, 'group_counter': 17, 'group_order': 4896, 'label': '408D59', 'order': 408, 'powers': [817, 694, 98], 'representative': 16215049345, 'size': 2}
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id: 87882038
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1426, 'group_counter': 17, 'group_order': 4896, 'label': '408D-59', 'order': 408, 'powers': [818, 693, 97], 'representative': 20662214665, 'size': 2}
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id: 87882039
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1427, 'group_counter': 17, 'group_order': 4896, 'label': '408D61', 'order': 408, 'powers': [819, 692, 97], 'representative': 15188780425, 'size': 2}
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id: 87882040
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1428, 'group_counter': 17, 'group_order': 4896, 'label': '408D-61', 'order': 408, 'powers': [820, 691, 98], 'representative': 25588305481, 'size': 2}
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id: 87882041
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1429, 'group_counter': 17, 'group_order': 4896, 'label': '408D65', 'order': 408, 'powers': [821, 688, 99], 'representative': 22783170433, 'size': 2}
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id: 87882043
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1430, 'group_counter': 17, 'group_order': 4896, 'label': '408D-65', 'order': 408, 'powers': [822, 687, 100], 'representative': 20251707097, 'size': 2}
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id: 87882044
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1431, 'group_counter': 17, 'group_order': 4896, 'label': '408D67', 'order': 408, 'powers': [823, 686, 100], 'representative': 26477738545, 'size': 2}
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id: 87882045
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1432, 'group_counter': 17, 'group_order': 4896, 'label': '408D-67', 'order': 408, 'powers': [824, 685, 99], 'representative': 21620065657, 'size': 2}
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id: 87882046
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1433, 'group_counter': 17, 'group_order': 4896, 'label': '408D71', 'order': 408, 'powers': [825, 687, 98], 'representative': 25725141337, 'size': 2}
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id: 87882047
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1434, 'group_counter': 17, 'group_order': 4896, 'label': '408D-71', 'order': 408, 'powers': [826, 688, 97], 'representative': 23741021425, 'size': 2}
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id: 87882048
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1435, 'group_counter': 17, 'group_order': 4896, 'label': '408D73', 'order': 408, 'powers': [827, 689, 97], 'representative': 16283467273, 'size': 2}
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id: 87882049
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1436, 'group_counter': 17, 'group_order': 4896, 'label': '408D-73', 'order': 408, 'powers': [828, 690, 98], 'representative': 15872959705, 'size': 2}
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id: 87882050
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1437, 'group_counter': 17, 'group_order': 4896, 'label': '408D77', 'order': 408, 'powers': [829, 693, 99], 'representative': 24425200705, 'size': 2}
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id: 87882051
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1438, 'group_counter': 17, 'group_order': 4896, 'label': '408D-77', 'order': 408, 'powers': [830, 694, 100], 'representative': 19909617457, 'size': 2}
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id: 87882052
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1439, 'group_counter': 17, 'group_order': 4896, 'label': '408D79', 'order': 408, 'powers': [831, 695, 100], 'representative': 26067230977, 'size': 2}
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id: 87882054
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1440, 'group_counter': 17, 'group_order': 4896, 'label': '408D-79', 'order': 408, 'powers': [832, 696, 99], 'representative': 22988424217, 'size': 2}
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id: 87882055
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1441, 'group_counter': 17, 'group_order': 4896, 'label': '408D83', 'order': 408, 'powers': [833, 699, 98], 'representative': 25109379985, 'size': 2}
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id: 87882056
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1442, 'group_counter': 17, 'group_order': 4896, 'label': '408D-83', 'order': 408, 'powers': [834, 700, 97], 'representative': 15325616281, 'size': 2}
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id: 87882057
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1443, 'group_counter': 17, 'group_order': 4896, 'label': '408D89', 'order': 408, 'powers': [835, 703, 99], 'representative': 25998813049, 'size': 2}
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id: 87882058
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1444, 'group_counter': 17, 'group_order': 4896, 'label': '408D-89', 'order': 408, 'powers': [836, 704, 100], 'representative': 18336005113, 'size': 2}
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id: 87882059
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1445, 'group_counter': 17, 'group_order': 4896, 'label': '408D91', 'order': 408, 'powers': [837, 705, 100], 'representative': 20456960881, 'size': 2}
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id: 87882060
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1446, 'group_counter': 17, 'group_order': 4896, 'label': '408D-91', 'order': 408, 'powers': [838, 706, 99], 'representative': 18062333401, 'size': 2}
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id: 87882061
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1447, 'group_counter': 17, 'group_order': 4896, 'label': '408D95', 'order': 408, 'powers': [839, 709, 98], 'representative': 16693974841, 'size': 2}
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id: 87882062
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1448, 'group_counter': 17, 'group_order': 4896, 'label': '408D-95', 'order': 408, 'powers': [840, 710, 97], 'representative': 15941377633, 'size': 2}
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id: 87882063
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1449, 'group_counter': 17, 'group_order': 4896, 'label': '408D97', 'order': 408, 'powers': [841, 711, 97], 'representative': 25451469625, 'size': 2}
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id: 87882065
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1450, 'group_counter': 17, 'group_order': 4896, 'label': '408D-97', 'order': 408, 'powers': [842, 712, 98], 'representative': 14367765289, 'size': 2}
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id: 87882066
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1451, 'group_counter': 17, 'group_order': 4896, 'label': '408D101', 'order': 408, 'powers': [843, 715, 99], 'representative': 17788661689, 'size': 2}
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id: 87882067
{'aut_label': '408D1', 'centralizer': '2.b1.a1', 'counter': 1452, 'group_counter': 17, 'group_order': 4896, 'label': '408D-101', 'order': 408, 'powers': [844, 716, 100], 'representative': 18404423041, 'size': 2}
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id: 87882068
{'aut_label': '408E1', 'centralizer': '2.b1.a1', 'counter': 1453, 'group_counter': 17, 'group_order': 4896, 'label': '408E1', 'order': 408, 'powers': [1005, 669, 101], 'representative': 11904719657, 'size': 2}
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id: 87882069
{'aut_label': '408E1', 'centralizer': '2.b1.a1', 'counter': 1454, 'group_counter': 17, 'group_order': 4896, 'label': '408E-1', 'order': 408, 'powers': [1006, 670, 102], 'representative': 12725734975, 'size': 2}
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id: 87882070
{'aut_label': '408E1', 'centralizer': '2.b1.a1', 'counter': 1455, 'group_counter': 17, 'group_order': 4896, 'label': '408E5', 'order': 408, 'powers': [1007, 628, 103], 'representative': 21483229928, 'size': 2}
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id: 87882071
{'aut_label': '408E1', 'centralizer': '2.b1.a1', 'counter': 1456, 'group_counter': 17, 'group_order': 4896, 'label': '408E-5', 'order': 408, 'powers': [1008, 627, 104], 'representative': 25588305700, 'size': 2}
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id: 87882072
{'aut_label': '408E1', 'centralizer': '2.b1.a1', 'counter': 1457, 'group_counter': 17, 'group_order': 4896, 'label': '408E7', 'order': 408, 'powers': [1009, 656, 105], 'representative': 25040962189, 'size': 2}
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id: 87882073
{'aut_label': '408E1', 'centralizer': '2.b1.a1', 'counter': 1458, 'group_counter': 17, 'group_order': 4896, 'label': '408E-7', 'order': 408, 'powers': [1010, 655, 106], 'representative': 13752003748, 'size': 2}
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id: 87882074
{'aut_label': '408E1', 'centralizer': '2.b1.a1', 'counter': 1459, 'group_counter': 17, 'group_order': 4896, 'label': '408E11', 'order': 408, 'powers': [1011, 657, 107], 'representative': 22030573435, 'size': 2}
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id: 87882076
{'aut_label': '408E1', 'centralizer': '2.b1.a1', 'counter': 1460, 'group_counter': 17, 'group_order': 4896, 'label': '408E-11', 'order': 408, 'powers': [1012, 658, 108], 'representative': 22235826972, 'size': 2}
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id: 87882077
{'aut_label': '408E1', 'centralizer': '2.b1.a1', 'counter': 1461, 'group_counter': 17, 'group_order': 4896, 'label': '408E13', 'order': 408, 'powers': [1013, 629, 108], 'representative': 24425201007, 'size': 2}
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id: 87882078
{'aut_label': '408E1', 'centralizer': '2.b1.a1', 'counter': 1462, 'group_counter': 17, 'group_order': 4896, 'label': '408E-13', 'order': 408, 'powers': [1014, 630, 107], 'representative': 19909617629, 'size': 2}
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id: 87882079
{'aut_label': '408E1', 'centralizer': '2.b1.a1', 'counter': 1463, 'group_counter': 17, 'group_order': 4896, 'label': '408E19', 'order': 408, 'powers': [1015, 671, 104], 'representative': 24083111223, 'size': 2}
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id: 87882080
{'aut_label': '408E1', 'centralizer': '2.b1.a1', 'counter': 1464, 'group_counter': 17, 'group_order': 4896, 'label': '408E-19', 'order': 408, 'powers': [1016, 672, 103], 'representative': 19635945701, 'size': 2}
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id: 87882081
{'aut_label': '408E1', 'centralizer': '2.b1.a1', 'counter': 1465, 'group_counter': 17, 'group_order': 4896, 'label': '408E23', 'order': 408, 'powers': [1017, 626, 102], 'representative': 10331107305, 'size': 2}
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id: 87882082
{'aut_label': '408E1', 'centralizer': '2.b1.a1', 'counter': 1466, 'group_counter': 17, 'group_order': 4896, 'label': '408E-23', 'order': 408, 'powers': [1018, 625, 101], 'representative': 23535767812, 'size': 2}
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id: 87882083
{'aut_label': '408E1', 'centralizer': '2.b1.a1', 'counter': 1467, 'group_counter': 17, 'group_order': 4896, 'label': '408E25', 'order': 408, 'powers': [1019, 654, 101], 'representative': 18814930735, 'size': 2}
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id: 87882084
{'aut_label': '408E1', 'centralizer': '2.b1.a1', 'counter': 1468, 'group_counter': 17, 'group_order': 4896, 'label': '408E-25', 'order': 408, 'powers': [1020, 653, 102], 'representative': 24014693348, 'size': 2}
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id: 87882085
{'aut_label': '408E1', 'centralizer': '2.b1.a1', 'counter': 1469, 'group_counter': 17, 'group_order': 4896, 'label': '408E29', 'order': 408, 'powers': [1021, 659, 103], 'representative': 15941377536, 'size': 2}
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id: 87882087
{'aut_label': '408E1', 'centralizer': '2.b1.a1', 'counter': 1470, 'group_counter': 17, 'group_order': 4896, 'label': '408E-29', 'order': 408, 'powers': [1022, 660, 104], 'representative': 21962155453, 'size': 2}
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id: 87882088
{'aut_label': '408E1', 'centralizer': '2.b1.a1', 'counter': 1471, 'group_counter': 17, 'group_order': 4896, 'label': '408E31', 'order': 408, 'powers': [1023, 631, 105], 'representative': 19499109917, 'size': 2}
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id: 87882089
{'aut_label': '408E1', 'centralizer': '2.b1.a1', 'counter': 1472, 'group_counter': 17, 'group_order': 4896, 'label': '408E-31', 'order': 408, 'powers': [1024, 632, 106], 'representative': 12862570800, 'size': 2}
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id: 87882090
{'aut_label': '408E1', 'centralizer': '2.b1.a1', 'counter': 1473, 'group_counter': 17, 'group_order': 4896, 'label': '408E35', 'order': 408, 'powers': [1025, 668, 107], 'representative': 19088602254, 'size': 2}
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id: 87882091
{'aut_label': '408E1', 'centralizer': '2.b1.a1', 'counter': 1474, 'group_counter': 17, 'group_order': 4896, 'label': '408E-35', 'order': 408, 'powers': [1026, 667, 108], 'representative': 19157020133, 'size': 2}
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id: 87882092
{'aut_label': '408E1', 'centralizer': '2.b1.a1', 'counter': 1475, 'group_counter': 17, 'group_order': 4896, 'label': '408E37', 'order': 408, 'powers': [1027, 673, 108], 'representative': 22988424405, 'size': 2}
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id: 87882093
{'aut_label': '408E1', 'centralizer': '2.b1.a1', 'counter': 1476, 'group_counter': 17, 'group_order': 4896, 'label': '408E-37', 'order': 408, 'powers': [1028, 674, 107], 'representative': 17583407781, 'size': 2}
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id: 87882094
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id: 87882190
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id: 87882191
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id: 87882192
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id: 87882193
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id: 87882194
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id: 87882195
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id: 87882196
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id: 87882198
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id: 87882199
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id: 87882200
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id: 87882201
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id: 87882202
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id: 87882203
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id: 87882204
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id: 87882205
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id: 87882206
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id: 87882207
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id: 87882209
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id: 87882210
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id: 87882211
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id: 87882212
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id: 87882213
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id: 87882214
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id: 87882215
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id: 87882216
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id: 87882217
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id: 87882218
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id: 87882220
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id: 87882221
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id: 87882222
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id: 87882223
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1593, 'group_counter': 17, 'group_order': 4896, 'label': '408F23', 'order': 408, 'powers': [1061, 690, 110], 'representative': 12109973584, 'size': 2}
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id: 87882224
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id: 87882225
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id: 87882226
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1596, 'group_counter': 17, 'group_order': 4896, 'label': '408F-25', 'order': 408, 'powers': [1031, 716, 110], 'representative': 24014693290, 'size': 2}
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id: 87882227
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1597, 'group_counter': 17, 'group_order': 4896, 'label': '408F29', 'order': 408, 'powers': [1065, 710, 111], 'representative': 21346393927, 'size': 2}
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id: 87882228
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1598, 'group_counter': 17, 'group_order': 4896, 'label': '408F-29', 'order': 408, 'powers': [1066, 709, 112], 'representative': 21962155365, 'size': 2}
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id: 87882229
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1599, 'group_counter': 17, 'group_order': 4896, 'label': '408F31', 'order': 408, 'powers': [1028, 695, 113], 'representative': 10399525236, 'size': 2}
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id: 87882232
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1600, 'group_counter': 17, 'group_order': 4896, 'label': '408F-31', 'order': 408, 'powers': [1027, 696, 114], 'representative': 22988424292, 'size': 2}
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id: 87882233
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1601, 'group_counter': 17, 'group_order': 4896, 'label': '408F35', 'order': 408, 'powers': [1068, 701, 115], 'representative': 23398931781, 'size': 2}
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id: 87882234
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1602, 'group_counter': 17, 'group_order': 4896, 'label': '408F-35', 'order': 408, 'powers': [1067, 702, 116], 'representative': 20046453210, 'size': 2}
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id: 87882235
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1603, 'group_counter': 17, 'group_order': 4896, 'label': '408F37', 'order': 408, 'powers': [1024, 696, 116], 'representative': 17857079657, 'size': 2}
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id: 87882236
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1604, 'group_counter': 17, 'group_order': 4896, 'label': '408F-37', 'order': 408, 'powers': [1023, 695, 115], 'representative': 19499110022, 'size': 2}
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id: 87882237
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1605, 'group_counter': 17, 'group_order': 4896, 'label': '408F41', 'order': 408, 'powers': [1064, 688, 114], 'representative': 5199762618, 'size': 2}
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id: 87882238
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1606, 'group_counter': 17, 'group_order': 4896, 'label': '408F-41', 'order': 408, 'powers': [1063, 687, 113], 'representative': 20251707247, 'size': 2}
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id: 87882239
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1607, 'group_counter': 17, 'group_order': 4896, 'label': '408F43', 'order': 408, 'powers': [1020, 716, 112], 'representative': 18404422959, 'size': 2}
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id: 87882240
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1608, 'group_counter': 17, 'group_order': 4896, 'label': '408F-43', 'order': 408, 'powers': [1019, 715, 111], 'representative': 17788661674, 'size': 2}
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id: 87882241
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1609, 'group_counter': 17, 'group_order': 4896, 'label': '408F47', 'order': 408, 'powers': [1060, 708, 110], 'representative': 22920006309, 'size': 2}
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id: 87882243
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1610, 'group_counter': 17, 'group_order': 4896, 'label': '408F-47', 'order': 408, 'powers': [1059, 707, 109], 'representative': 11015286674, 'size': 2}
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id: 87882244
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1611, 'group_counter': 17, 'group_order': 4896, 'label': '408F49', 'order': 408, 'powers': [1016, 697, 109], 'representative': 22646334786, 'size': 2}
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id: 87882245
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1612, 'group_counter': 17, 'group_order': 4896, 'label': '408F-49', 'order': 408, 'powers': [1015, 698, 110], 'representative': 24083111202, 'size': 2}
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id: 87882246
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1613, 'group_counter': 17, 'group_order': 4896, 'label': '408F53', 'order': 408, 'powers': [1058, 703, 111], 'representative': 23193677960, 'size': 2}
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id: 87882247
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1614, 'group_counter': 17, 'group_order': 4896, 'label': '408F-53', 'order': 408, 'powers': [1057, 704, 112], 'representative': 18336005083, 'size': 2}
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id: 87882248
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1615, 'group_counter': 17, 'group_order': 4896, 'label': '408F55', 'order': 408, 'powers': [1014, 694, 113], 'representative': 19909617458, 'size': 2}
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id: 87882249
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1616, 'group_counter': 17, 'group_order': 4896, 'label': '408F-55', 'order': 408, 'powers': [1013, 693, 114], 'representative': 24425200708, 'size': 2}
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id: 87882250
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id: 87882251
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1618, 'group_counter': 17, 'group_order': 4896, 'label': '408F-59', 'order': 408, 'powers': [1053, 685, 116], 'representative': 26546156747, 'size': 2}
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id: 87882252
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1619, 'group_counter': 17, 'group_order': 4896, 'label': '408F61', 'order': 408, 'powers': [1010, 714, 116], 'representative': 26682992511, 'size': 2}
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id: 87882254
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1620, 'group_counter': 17, 'group_order': 4896, 'label': '408F-61', 'order': 408, 'powers': [1009, 713, 115], 'representative': 11973137618, 'size': 2}
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id: 87882255
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id: 87882256
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1622, 'group_counter': 17, 'group_order': 4896, 'label': '408F-65', 'order': 408, 'powers': [1049, 705, 113], 'representative': 20867468455, 'size': 2}
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id: 87882257
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1623, 'group_counter': 17, 'group_order': 4896, 'label': '408F67', 'order': 408, 'powers': [1006, 699, 112], 'representative': 15257198348, 'size': 2}
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id: 87882258
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1624, 'group_counter': 17, 'group_order': 4896, 'label': '408F-67', 'order': 408, 'powers': [1005, 700, 111], 'representative': 27230335916, 'size': 2}
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id: 87882259
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id: 87882260
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1626, 'group_counter': 17, 'group_order': 4896, 'label': '408F-71', 'order': 408, 'powers': [1045, 706, 109], 'representative': 23946275236, 'size': 2}
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id: 87882261
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1627, 'group_counter': 17, 'group_order': 4896, 'label': '408F73', 'order': 408, 'powers': [1007, 692, 109], 'representative': 15188780333, 'size': 2}
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id: 87882262
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1628, 'group_counter': 17, 'group_order': 4896, 'label': '408F-73', 'order': 408, 'powers': [1008, 691, 110], 'representative': 25588305601, 'size': 2}
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id: 87882263
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1629, 'group_counter': 17, 'group_order': 4896, 'label': '408F77', 'order': 408, 'powers': [1042, 685, 111], 'representative': 21620065859, 'size': 2}
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id: 87882265
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1630, 'group_counter': 17, 'group_order': 4896, 'label': '408F-77', 'order': 408, 'powers': [1041, 686, 112], 'representative': 26477738871, 'size': 2}
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id: 87882266
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1631, 'group_counter': 17, 'group_order': 4896, 'label': '408F79', 'order': 408, 'powers': [1011, 712, 113], 'representative': 22030573250, 'size': 2}
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id: 87882267
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1632, 'group_counter': 17, 'group_order': 4896, 'label': '408F-79', 'order': 408, 'powers': [1012, 711, 114], 'representative': 5747106083, 'size': 2}
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id: 87882268
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1633, 'group_counter': 17, 'group_order': 4896, 'label': '408F83', 'order': 408, 'powers': [1038, 704, 115], 'representative': 17241318219, 'size': 2}
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id: 87882269
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1634, 'group_counter': 17, 'group_order': 4896, 'label': '408F-83', 'order': 408, 'powers': [1037, 703, 116], 'representative': 23193678241, 'size': 2}
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id: 87882270
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1635, 'group_counter': 17, 'group_order': 4896, 'label': '408F89', 'order': 408, 'powers': [1034, 707, 114], 'representative': 11015286625, 'size': 2}
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id: 87882271
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1636, 'group_counter': 17, 'group_order': 4896, 'label': '408F-89', 'order': 408, 'powers': [1033, 708, 113], 'representative': 11494212166, 'size': 2}
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id: 87882272
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1637, 'group_counter': 17, 'group_order': 4896, 'label': '408F91', 'order': 408, 'powers': [1017, 690, 112], 'representative': 17651825708, 'size': 2}
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id: 87882273
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1638, 'group_counter': 17, 'group_order': 4896, 'label': '408F-91', 'order': 408, 'powers': [1018, 689, 111], 'representative': 16146631309, 'size': 2}
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id: 87882274
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1639, 'group_counter': 17, 'group_order': 4896, 'label': '408F95', 'order': 408, 'powers': [1030, 687, 110], 'representative': 25725141567, 'size': 2}
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id: 87882276
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1640, 'group_counter': 17, 'group_order': 4896, 'label': '408F-95', 'order': 408, 'powers': [1029, 688, 109], 'representative': 23741021377, 'size': 2}
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id: 87882277
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1641, 'group_counter': 17, 'group_order': 4896, 'label': '408F97', 'order': 408, 'powers': [1021, 710, 109], 'representative': 22577916803, 'size': 2}
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id: 87882278
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1642, 'group_counter': 17, 'group_order': 4896, 'label': '408F-97', 'order': 408, 'powers': [1022, 709, 110], 'representative': 16693974764, 'size': 2}
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id: 87882279
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1643, 'group_counter': 17, 'group_order': 4896, 'label': '408F101', 'order': 408, 'powers': [1026, 702, 111], 'representative': 8825912854, 'size': 2}
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id: 87882280
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1644, 'group_counter': 17, 'group_order': 4896, 'label': '408F-101', 'order': 408, 'powers': [1025, 701, 112], 'representative': 8894330833, 'size': 2}
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id: 87882281
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1645, 'group_counter': 17, 'group_order': 4896, 'label': '408F103', 'order': 408, 'powers': [1025, 701, 113], 'representative': 23672603713, 'size': 2}
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id: 87882282
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id: 87882283
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id: 87882284
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id: 87882285
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id: 87882287
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id: 87882288
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1651, 'group_counter': 17, 'group_order': 4896, 'label': '408F113', 'order': 408, 'powers': [1018, 689, 114], 'representative': 23535767749, 'size': 2}
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id: 87882289
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1652, 'group_counter': 17, 'group_order': 4896, 'label': '408F-113', 'order': 408, 'powers': [1017, 690, 113], 'representative': 26204066958, 'size': 2}
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id: 87882290
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id: 87882291
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id: 87882292
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id: 87882293
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id: 87882294
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id: 87882295
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1658, 'group_counter': 17, 'group_order': 4896, 'label': '408F-125', 'order': 408, 'powers': [1011, 712, 112], 'representative': 20320125000, 'size': 2}
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id: 87882296
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1659, 'group_counter': 17, 'group_order': 4896, 'label': '408F127', 'order': 408, 'powers': [1041, 686, 113], 'representative': 4173493691, 'size': 2}
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id: 87882298
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1660, 'group_counter': 17, 'group_order': 4896, 'label': '408F-127', 'order': 408, 'powers': [1042, 685, 114], 'representative': 7799643999, 'size': 2}
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id: 87882299
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1661, 'group_counter': 17, 'group_order': 4896, 'label': '408F131', 'order': 408, 'powers': [1008, 691, 115], 'representative': 17378154001, 'size': 2}
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id: 87882300
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id: 87882301
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1663, 'group_counter': 17, 'group_order': 4896, 'label': '408F133', 'order': 408, 'powers': [1045, 706, 116], 'representative': 22098991126, 'size': 2}
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id: 87882302
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1664, 'group_counter': 17, 'group_order': 4896, 'label': '408F-133', 'order': 408, 'powers': [1046, 705, 115], 'representative': 14641436910, 'size': 2}
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id: 87882303
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1665, 'group_counter': 17, 'group_order': 4896, 'label': '408F137', 'order': 408, 'powers': [1005, 700, 114], 'representative': 16078213326, 'size': 2}
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id: 87882304
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1666, 'group_counter': 17, 'group_order': 4896, 'label': '408F-137', 'order': 408, 'powers': [1006, 699, 113], 'representative': 15599287998, 'size': 2}
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id: 87882305
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1667, 'group_counter': 17, 'group_order': 4896, 'label': '408F139', 'order': 408, 'powers': [1049, 705, 112], 'representative': 20456960875, 'size': 2}
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id: 87882306
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1668, 'group_counter': 17, 'group_order': 4896, 'label': '408F-139', 'order': 408, 'powers': [1050, 706, 111], 'representative': 9920599764, 'size': 2}
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id: 87882307
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1669, 'group_counter': 17, 'group_order': 4896, 'label': '408F143', 'order': 408, 'powers': [1009, 713, 110], 'representative': 25040962248, 'size': 2}
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id: 87882309
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1670, 'group_counter': 17, 'group_order': 4896, 'label': '408F-143', 'order': 408, 'powers': [1010, 714, 109], 'representative': 14230929251, 'size': 2}
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id: 87882310
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1671, 'group_counter': 17, 'group_order': 4896, 'label': '408F145', 'order': 408, 'powers': [1053, 685, 109], 'representative': 7799643927, 'size': 2}
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id: 87882311
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1672, 'group_counter': 17, 'group_order': 4896, 'label': '408F-145', 'order': 408, 'powers': [1054, 686, 110], 'representative': 4173493708, 'size': 2}
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id: 87882312
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1673, 'group_counter': 17, 'group_order': 4896, 'label': '408F149', 'order': 408, 'powers': [1013, 693, 111], 'representative': 24219946918, 'size': 2}
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id: 87882313
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1674, 'group_counter': 17, 'group_order': 4896, 'label': '408F-149', 'order': 408, 'powers': [1014, 694, 112], 'representative': 19841199528, 'size': 2}
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id: 87882314
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1675, 'group_counter': 17, 'group_order': 4896, 'label': '408F151', 'order': 408, 'powers': [1057, 704, 113], 'representative': 20388542983, 'size': 2}
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id: 87882315
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1676, 'group_counter': 17, 'group_order': 4896, 'label': '408F-151', 'order': 408, 'powers': [1058, 703, 114], 'representative': 25998813090, 'size': 2}
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id: 87882316
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1677, 'group_counter': 17, 'group_order': 4896, 'label': '408F155', 'order': 408, 'powers': [1015, 698, 115], 'representative': 14709854792, 'size': 2}
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id: 87882317
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1678, 'group_counter': 17, 'group_order': 4896, 'label': '408F-155', 'order': 408, 'powers': [1016, 697, 116], 'representative': 8346987416, 'size': 2}
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id: 87882318
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1679, 'group_counter': 17, 'group_order': 4896, 'label': '408F157', 'order': 408, 'powers': [1059, 707, 116], 'representative': 20799050664, 'size': 2}
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id: 87882320
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1680, 'group_counter': 17, 'group_order': 4896, 'label': '408F-157', 'order': 408, 'powers': [1060, 708, 115], 'representative': 21551647709, 'size': 2}
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id: 87882321
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1681, 'group_counter': 17, 'group_order': 4896, 'label': '408F161', 'order': 408, 'powers': [1019, 715, 114], 'representative': 18814930624, 'size': 2}
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id: 87882322
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1682, 'group_counter': 17, 'group_order': 4896, 'label': '408F-161', 'order': 408, 'powers': [1020, 716, 113], 'representative': 24014693219, 'size': 2}
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id: 87882323
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1683, 'group_counter': 17, 'group_order': 4896, 'label': '408F163', 'order': 408, 'powers': [1063, 687, 112], 'representative': 9989017747, 'size': 2}
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id: 87882324
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1684, 'group_counter': 17, 'group_order': 4896, 'label': '408F-163', 'order': 408, 'powers': [1064, 688, 111], 'representative': 27025082288, 'size': 2}
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id: 87882325
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1685, 'group_counter': 17, 'group_order': 4896, 'label': '408F167', 'order': 408, 'powers': [1023, 695, 110], 'representative': 10399525332, 'size': 2}
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id: 87882326
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1686, 'group_counter': 17, 'group_order': 4896, 'label': '408F-167', 'order': 408, 'powers': [1024, 696, 109], 'representative': 15120362457, 'size': 2}
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id: 87882327
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1687, 'group_counter': 17, 'group_order': 4896, 'label': '408F169', 'order': 408, 'powers': [1067, 702, 109], 'representative': 27093500000, 'size': 2}
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id: 87882328
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1688, 'group_counter': 17, 'group_order': 4896, 'label': '408F-169', 'order': 408, 'powers': [1068, 701, 110], 'representative': 23672603501, 'size': 2}
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id: 87882329
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1689, 'group_counter': 17, 'group_order': 4896, 'label': '408F173', 'order': 408, 'powers': [1027, 696, 111], 'representative': 17857079542, 'size': 2}
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id: 87882331
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1690, 'group_counter': 17, 'group_order': 4896, 'label': '408F-173', 'order': 408, 'powers': [1028, 695, 112], 'representative': 26067231206, 'size': 2}
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id: 87882332
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1691, 'group_counter': 17, 'group_order': 4896, 'label': '408F175', 'order': 408, 'powers': [1066, 709, 113], 'representative': 17309736125, 'size': 2}
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id: 87882333
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1692, 'group_counter': 17, 'group_order': 4896, 'label': '408F-175', 'order': 408, 'powers': [1065, 710, 114], 'representative': 22577916667, 'size': 2}
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id: 87882334
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1693, 'group_counter': 17, 'group_order': 4896, 'label': '408F179', 'order': 408, 'powers': [1031, 716, 115], 'representative': 13546750000, 'size': 2}
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id: 87882335
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1694, 'group_counter': 17, 'group_order': 4896, 'label': '408F-179', 'order': 408, 'powers': [1032, 715, 116], 'representative': 19362274041, 'size': 2}
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id: 87882336
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1695, 'group_counter': 17, 'group_order': 4896, 'label': '408F181', 'order': 408, 'powers': [1062, 689, 116], 'representative': 16283467167, 'size': 2}
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id: 87882337
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1696, 'group_counter': 17, 'group_order': 4896, 'label': '408F-181', 'order': 408, 'powers': [1061, 690, 115], 'representative': 17651825914, 'size': 2}
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id: 87882338
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1697, 'group_counter': 17, 'group_order': 4896, 'label': '408F185', 'order': 408, 'powers': [1035, 697, 114], 'representative': 22646334543, 'size': 2}
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id: 87882339
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1698, 'group_counter': 17, 'group_order': 4896, 'label': '408F-185', 'order': 408, 'powers': [1036, 698, 113], 'representative': 17172900373, 'size': 2}
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id: 87882340
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1699, 'group_counter': 17, 'group_order': 4896, 'label': '408F191', 'order': 408, 'powers': [1039, 694, 110], 'representative': 16215049292, 'size': 2}
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id: 87882343
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1700, 'group_counter': 17, 'group_order': 4896, 'label': '408F-191', 'order': 408, 'powers': [1040, 693, 109], 'representative': 7320718458, 'size': 2}
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id: 87882344
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1701, 'group_counter': 17, 'group_order': 4896, 'label': '408F193', 'order': 408, 'powers': [1056, 711, 109], 'representative': 5747106073, 'size': 2}
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id: 87882345
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1702, 'group_counter': 17, 'group_order': 4896, 'label': '408F-193', 'order': 408, 'powers': [1055, 712, 110], 'representative': 13615167983, 'size': 2}
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id: 87882346
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1703, 'group_counter': 17, 'group_order': 4896, 'label': '408F197', 'order': 408, 'powers': [1043, 714, 111], 'representative': 26682992499, 'size': 2}
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id: 87882347
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1704, 'group_counter': 17, 'group_order': 4896, 'label': '408F-197', 'order': 408, 'powers': [1044, 713, 112], 'representative': 18951766376, 'size': 2}
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id: 87882348
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1705, 'group_counter': 17, 'group_order': 4896, 'label': '408F199', 'order': 408, 'powers': [1052, 691, 113], 'representative': 12999406665, 'size': 2}
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id: 87882349
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1706, 'group_counter': 17, 'group_order': 4896, 'label': '408F-199', 'order': 408, 'powers': [1051, 692, 114], 'representative': 19293856073, 'size': 2}
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id: 87882350
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1707, 'group_counter': 17, 'group_order': 4896, 'label': '408F203', 'order': 408, 'powers': [1047, 699, 115], 'representative': 15257198209, 'size': 2}
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id: 87882351
{'aut_label': '408F1', 'centralizer': '2.b1.a1', 'counter': 1708, 'group_counter': 17, 'group_order': 4896, 'label': '408F-203', 'order': 408, 'powers': [1048, 700, 116], 'representative': 27230335966, 'size': 2}
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id: 87882352
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1709, 'group_counter': 17, 'group_order': 4896, 'label': '408G1', 'order': 408, 'powers': [834, 717, 117], 'representative': 29111393, 'size': 6}
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id: 87882354
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1710, 'group_counter': 17, 'group_order': 4896, 'label': '408G-1', 'order': 408, 'powers': [833, 718, 118], 'representative': 7042980, 'size': 6}
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id: 87882355
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1711, 'group_counter': 17, 'group_order': 4896, 'label': '408G5', 'order': 408, 'powers': [786, 721, 119], 'representative': 31320402, 'size': 6}
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id: 87882356
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1712, 'group_counter': 17, 'group_order': 4896, 'label': '408G-5', 'order': 408, 'powers': [785, 722, 120], 'representative': 25942870, 'size': 6}
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id: 87882357
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1713, 'group_counter': 17, 'group_order': 4896, 'label': '408G7', 'order': 408, 'powers': [799, 723, 120], 'representative': 39161341, 'size': 6}
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id: 87882358
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1714, 'group_counter': 17, 'group_order': 4896, 'label': '408G-7', 'order': 408, 'powers': [800, 724, 119], 'representative': 33631252, 'size': 6}
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id: 87882359
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1715, 'group_counter': 17, 'group_order': 4896, 'label': '408G11', 'order': 408, 'powers': [842, 727, 118], 'representative': 18771055, 'size': 6}
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id: 87882360
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1716, 'group_counter': 17, 'group_order': 4896, 'label': '408G-11', 'order': 408, 'powers': [841, 728, 117], 'representative': 6204530, 'size': 6}
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id: 87882361
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1717, 'group_counter': 17, 'group_order': 4896, 'label': '408G13', 'order': 408, 'powers': [818, 729, 117], 'representative': 9221723, 'size': 6}
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id: 87882362
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1718, 'group_counter': 17, 'group_order': 4896, 'label': '408G-13', 'order': 408, 'powers': [817, 730, 118], 'representative': 19954701, 'size': 6}
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id: 87882363
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1719, 'group_counter': 17, 'group_order': 4896, 'label': '408G19', 'order': 408, 'powers': [815, 733, 120], 'representative': 32475827, 'size': 6}
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id: 87882365
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1720, 'group_counter': 17, 'group_order': 4896, 'label': '408G-19', 'order': 408, 'powers': [816, 734, 119], 'representative': 7378360, 'size': 6}
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id: 87882366
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1721, 'group_counter': 17, 'group_order': 4896, 'label': '408G23', 'order': 408, 'powers': [828, 737, 118], 'representative': 25270065, 'size': 6}
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id: 87882367
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1722, 'group_counter': 17, 'group_order': 4896, 'label': '408G-23', 'order': 408, 'powers': [827, 738, 117], 'representative': 28966198, 'size': 6}
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id: 87882368
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1723, 'group_counter': 17, 'group_order': 4896, 'label': '408G25', 'order': 408, 'powers': [802, 739, 117], 'representative': 21128940, 'size': 6}
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id: 87882369
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1724, 'group_counter': 17, 'group_order': 4896, 'label': '408G-25', 'order': 408, 'powers': [801, 740, 118], 'representative': 23443062, 'size': 6}
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id: 87882370
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1725, 'group_counter': 17, 'group_order': 4896, 'label': '408G29', 'order': 408, 'powers': [805, 743, 119], 'representative': 39008784, 'size': 6}
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id: 87882371
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1726, 'group_counter': 17, 'group_order': 4896, 'label': '408G-29', 'order': 408, 'powers': [806, 744, 120], 'representative': 27637357, 'size': 6}
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id: 87882372
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1727, 'group_counter': 17, 'group_order': 4896, 'label': '408G31', 'order': 408, 'powers': [831, 745, 120], 'representative': 4695320, 'size': 6}
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id: 87882373
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1728, 'group_counter': 17, 'group_order': 4896, 'label': '408G-31', 'order': 408, 'powers': [832, 746, 119], 'representative': 12241370, 'size': 6}
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id: 87882374
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1729, 'group_counter': 17, 'group_order': 4896, 'label': '408G35', 'order': 408, 'powers': [812, 748, 118], 'representative': 46697166, 'size': 6}
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id: 87882376
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id: 87882377
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id: 87882378
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id: 87882379
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id: 87882380
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id: 87882381
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id: 87882382
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id: 87882383
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id: 87882384
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id: 87882385
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id: 87882387
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id: 87882388
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id: 87882389
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id: 87882390
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id: 87882391
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id: 87882392
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id: 87882393
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id: 87882394
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id: 87882395
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id: 87882396
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id: 87882398
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id: 87882399
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id: 87882400
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id: 87882401
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1753, 'group_counter': 17, 'group_order': 4896, 'label': '408G71', 'order': 408, 'powers': [793, 719, 118], 'representative': 18443446, 'size': 6}
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id: 87882402
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id: 87882403
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1755, 'group_counter': 17, 'group_order': 4896, 'label': '408G73', 'order': 408, 'powers': [819, 721, 117], 'representative': 21283542, 'size': 6}
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id: 87882404
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id: 87882405
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1757, 'group_counter': 17, 'group_order': 4896, 'label': '408G77', 'order': 408, 'powers': [824, 725, 119], 'representative': 49356484, 'size': 6}
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id: 87882406
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1758, 'group_counter': 17, 'group_order': 4896, 'label': '408G-77', 'order': 408, 'powers': [823, 726, 120], 'representative': 3689180, 'size': 6}
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id: 87882407
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1759, 'group_counter': 17, 'group_order': 4896, 'label': '408G79', 'order': 408, 'powers': [798, 727, 120], 'representative': 14589030, 'size': 6}
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id: 87882409
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id: 87882410
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1761, 'group_counter': 17, 'group_order': 4896, 'label': '408G83', 'order': 408, 'powers': [809, 731, 118], 'representative': 23632020, 'size': 6}
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id: 87882411
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id: 87882412
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1763, 'group_counter': 17, 'group_order': 4896, 'label': '408G89', 'order': 408, 'powers': [808, 735, 119], 'representative': 9390640, 'size': 6}
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id: 87882413
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1764, 'group_counter': 17, 'group_order': 4896, 'label': '408G-89', 'order': 408, 'powers': [807, 736, 120], 'representative': 15754680, 'size': 6}
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id: 87882414
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1765, 'group_counter': 17, 'group_order': 4896, 'label': '408G91', 'order': 408, 'powers': [784, 737, 120], 'representative': 4359940, 'size': 6}
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id: 87882415
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1766, 'group_counter': 17, 'group_order': 4896, 'label': '408G-91', 'order': 408, 'powers': [783, 738, 119], 'representative': 28631636, 'size': 6}
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id: 87882416
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1767, 'group_counter': 17, 'group_order': 4896, 'label': '408G95', 'order': 408, 'powers': [825, 741, 118], 'representative': 5533770, 'size': 6}
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id: 87882417
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1768, 'group_counter': 17, 'group_order': 4896, 'label': '408G-95', 'order': 408, 'powers': [826, 742, 117], 'representative': 55710299, 'size': 6}
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id: 87882418
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1769, 'group_counter': 17, 'group_order': 4896, 'label': '408G97', 'order': 408, 'powers': [840, 743, 117], 'representative': 16258568, 'size': 6}
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id: 87882420
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1770, 'group_counter': 17, 'group_order': 4896, 'label': '408G-97', 'order': 408, 'powers': [839, 744, 118], 'representative': 26131828, 'size': 6}
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id: 87882421
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1771, 'group_counter': 17, 'group_order': 4896, 'label': '408G101', 'order': 408, 'powers': [792, 747, 119], 'representative': 19409913, 'size': 6}
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id: 87882422
{'aut_label': '408G1', 'centralizer': '6.j1.b1', 'counter': 1772, 'group_counter': 17, 'group_order': 4896, 'label': '408G-101', 'order': 408, 'powers': [791, 748, 120], 'representative': 11233594, 'size': 6}
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id: 87882423
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1773, 'group_counter': 17, 'group_order': 4896, 'label': '408H1', 'order': 408, 'powers': [812, 749, 121], 'representative': 30951484, 'size': 6}
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id: 87882424
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1774, 'group_counter': 17, 'group_order': 4896, 'label': '408H-1', 'order': 408, 'powers': [811, 750, 122], 'representative': 37320841, 'size': 6}
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id: 87882425
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1775, 'group_counter': 17, 'group_order': 4896, 'label': '408H5', 'order': 408, 'powers': [806, 753, 123], 'representative': 47212097, 'size': 6}
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id: 87882426
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1776, 'group_counter': 17, 'group_order': 4896, 'label': '408H-5', 'order': 408, 'powers': [805, 754, 124], 'representative': 62577409, 'size': 6}
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id: 87882427
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1777, 'group_counter': 17, 'group_order': 4896, 'label': '408H7', 'order': 408, 'powers': [821, 755, 124], 'representative': 46354424, 'size': 6}
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id: 87882428
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1778, 'group_counter': 17, 'group_order': 4896, 'label': '408H-7', 'order': 408, 'powers': [822, 756, 123], 'representative': 36809591, 'size': 6}
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id: 87882429
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1779, 'group_counter': 17, 'group_order': 4896, 'label': '408H11', 'order': 408, 'powers': [827, 759, 122], 'representative': 53900065, 'size': 6}
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id: 87882431
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1780, 'group_counter': 17, 'group_order': 4896, 'label': '408H-11', 'order': 408, 'powers': [828, 760, 121], 'representative': 14066737, 'size': 6}
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id: 87882432
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1781, 'group_counter': 17, 'group_order': 4896, 'label': '408H13', 'order': 408, 'powers': [796, 761, 121], 'representative': 59740585, 'size': 6}
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id: 87882433
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1782, 'group_counter': 17, 'group_order': 4896, 'label': '408H-13', 'order': 408, 'powers': [795, 762, 122], 'representative': 48727033, 'size': 6}
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id: 87882434
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1783, 'group_counter': 17, 'group_order': 4896, 'label': '408H19', 'order': 408, 'powers': [835, 765, 124], 'representative': 58906225, 'size': 6}
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id: 87882435
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1784, 'group_counter': 17, 'group_order': 4896, 'label': '408H-19', 'order': 408, 'powers': [836, 766, 123], 'representative': 55388007, 'size': 6}
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id: 87882436
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1785, 'group_counter': 17, 'group_order': 4896, 'label': '408H23', 'order': 408, 'powers': [841, 769, 122], 'representative': 64079257, 'size': 6}
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id: 87882437
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1786, 'group_counter': 17, 'group_order': 4896, 'label': '408H-23', 'order': 408, 'powers': [842, 770, 121], 'representative': 39839463, 'size': 6}
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id: 87882438
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1787, 'group_counter': 17, 'group_order': 4896, 'label': '408H25', 'order': 408, 'powers': [782, 771, 121], 'representative': 46053809, 'size': 6}
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id: 87882439
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1788, 'group_counter': 17, 'group_order': 4896, 'label': '408H-25', 'order': 408, 'powers': [781, 772, 122], 'representative': 33145360, 'size': 6}
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id: 87882440
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1789, 'group_counter': 17, 'group_order': 4896, 'label': '408H29', 'order': 408, 'powers': [785, 775, 123], 'representative': 52223983, 'size': 6}
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id: 87882442
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1790, 'group_counter': 17, 'group_order': 4896, 'label': '408H-29', 'order': 408, 'powers': [786, 776, 124], 'representative': 42358085, 'size': 6}
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id: 87882443
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1791, 'group_counter': 17, 'group_order': 4896, 'label': '408H31', 'order': 408, 'powers': [838, 777, 124], 'representative': 25438164, 'size': 6}
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id: 87882444
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1792, 'group_counter': 17, 'group_order': 4896, 'label': '408H-31', 'order': 408, 'powers': [837, 778, 123], 'representative': 43690198, 'size': 6}
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id: 87882445
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1793, 'group_counter': 17, 'group_order': 4896, 'label': '408H35', 'order': 408, 'powers': [834, 780, 122], 'representative': 57235869, 'size': 6}
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id: 87882446
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1794, 'group_counter': 17, 'group_order': 4896, 'label': '408H-35', 'order': 408, 'powers': [833, 779, 121], 'representative': 49018650, 'size': 6}
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id: 87882447
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1795, 'group_counter': 17, 'group_order': 4896, 'label': '408H37', 'order': 408, 'powers': [793, 778, 121], 'representative': 56236273, 'size': 6}
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id: 87882448
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1796, 'group_counter': 17, 'group_order': 4896, 'label': '408H-37', 'order': 408, 'powers': [794, 777, 122], 'representative': 63745513, 'size': 6}
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id: 87882449
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1797, 'group_counter': 17, 'group_order': 4896, 'label': '408H41', 'order': 408, 'powers': [799, 774, 123], 'representative': 12719082, 'size': 6}
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id: 87882450
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1798, 'group_counter': 17, 'group_order': 4896, 'label': '408H-41', 'order': 408, 'powers': [800, 773, 124], 'representative': 62911153, 'size': 6}
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id: 87882451
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1799, 'group_counter': 17, 'group_order': 4896, 'label': '408H43', 'order': 408, 'powers': [824, 772, 124], 'representative': 45022311, 'size': 6}
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id: 87882454
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1800, 'group_counter': 17, 'group_order': 4896, 'label': '408H-43', 'order': 408, 'powers': [823, 771, 123], 'representative': 47392057, 'size': 6}
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id: 87882455
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1801, 'group_counter': 17, 'group_order': 4896, 'label': '408H47', 'order': 408, 'powers': [818, 768, 122], 'representative': 52723781, 'size': 6}
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id: 87882456
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1802, 'group_counter': 17, 'group_order': 4896, 'label': '408H-47', 'order': 408, 'powers': [817, 767, 121], 'representative': 59073097, 'size': 6}
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id: 87882457
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1803, 'group_counter': 17, 'group_order': 4896, 'label': '408H49', 'order': 408, 'powers': [809, 766, 121], 'representative': 61075561, 'size': 6}
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id: 87882458
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1804, 'group_counter': 17, 'group_order': 4896, 'label': '408H-49', 'order': 408, 'powers': [810, 765, 122], 'representative': 35988728, 'size': 6}
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id: 87882459
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1805, 'group_counter': 17, 'group_order': 4896, 'label': '408H53', 'order': 408, 'powers': [815, 764, 123], 'representative': 56720120, 'size': 6}
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id: 87882460
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1806, 'group_counter': 17, 'group_order': 4896, 'label': '408H-53', 'order': 408, 'powers': [816, 763, 124], 'representative': 44876707, 'size': 6}
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id: 87882461
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1807, 'group_counter': 17, 'group_order': 4896, 'label': '408H55', 'order': 408, 'powers': [808, 762, 124], 'representative': 48559752, 'size': 6}
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id: 87882462
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1808, 'group_counter': 17, 'group_order': 4896, 'label': '408H-55', 'order': 408, 'powers': [807, 761, 123], 'representative': 59238742, 'size': 6}
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id: 87882463
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1809, 'group_counter': 17, 'group_order': 4896, 'label': '408H59', 'order': 408, 'powers': [802, 758, 122], 'representative': 64746745, 'size': 6}
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id: 87882465
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1810, 'group_counter': 17, 'group_order': 4896, 'label': '408H-59', 'order': 408, 'powers': [801, 757, 121], 'representative': 19078623, 'size': 6}
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id: 87882466
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1811, 'group_counter': 17, 'group_order': 4896, 'label': '408H61', 'order': 408, 'powers': [825, 756, 121], 'representative': 34802219, 'size': 6}
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id: 87882467
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1812, 'group_counter': 17, 'group_order': 4896, 'label': '408H-61', 'order': 408, 'powers': [826, 755, 122], 'representative': 29291762, 'size': 6}
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id: 87882468
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1813, 'group_counter': 17, 'group_order': 4896, 'label': '408H65', 'order': 408, 'powers': [831, 752, 123], 'representative': 24279876, 'size': 6}
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id: 87882469
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1814, 'group_counter': 17, 'group_order': 4896, 'label': '408H-65', 'order': 408, 'powers': [832, 751, 124], 'representative': 50059555, 'size': 6}
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id: 87882470
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1815, 'group_counter': 17, 'group_order': 4896, 'label': '408H67', 'order': 408, 'powers': [792, 750, 124], 'representative': 61409305, 'size': 6}
-
id: 87882471
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1816, 'group_counter': 17, 'group_order': 4896, 'label': '408H-67', 'order': 408, 'powers': [791, 749, 123], 'representative': 39315534, 'size': 6}
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id: 87882472
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1817, 'group_counter': 17, 'group_order': 4896, 'label': '408H71', 'order': 408, 'powers': [788, 751, 122], 'representative': 35840670, 'size': 6}
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id: 87882473
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1818, 'group_counter': 17, 'group_order': 4896, 'label': '408H-71', 'order': 408, 'powers': [787, 752, 121], 'representative': 54055894, 'size': 6}
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id: 87882474
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1819, 'group_counter': 17, 'group_order': 4896, 'label': '408H73', 'order': 408, 'powers': [839, 753, 121], 'representative': 37175237, 'size': 6}
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id: 87882476
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1820, 'group_counter': 17, 'group_order': 4896, 'label': '408H-73', 'order': 408, 'powers': [840, 754, 122], 'representative': 42503689, 'size': 6}
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id: 87882477
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1821, 'group_counter': 17, 'group_order': 4896, 'label': '408H77', 'order': 408, 'powers': [844, 757, 123], 'representative': 64913617, 'size': 6}
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id: 87882478
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1822, 'group_counter': 17, 'group_order': 4896, 'label': '408H-77', 'order': 408, 'powers': [843, 758, 124], 'representative': 10213139, 'size': 6}
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id: 87882479
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1823, 'group_counter': 17, 'group_order': 4896, 'label': '408H79', 'order': 408, 'powers': [783, 759, 124], 'representative': 49718040, 'size': 6}
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id: 87882480
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1824, 'group_counter': 17, 'group_order': 4896, 'label': '408H-79', 'order': 408, 'powers': [784, 760, 123], 'representative': 62243665, 'size': 6}
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id: 87882481
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1825, 'group_counter': 17, 'group_order': 4896, 'label': '408H83', 'order': 408, 'powers': [789, 763, 122], 'representative': 42200211, 'size': 6}
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id: 87882482
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1826, 'group_counter': 17, 'group_order': 4896, 'label': '408H-83', 'order': 408, 'powers': [790, 764, 121], 'representative': 63578641, 'size': 6}
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id: 87882483
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1827, 'group_counter': 17, 'group_order': 4896, 'label': '408H89', 'order': 408, 'powers': [830, 767, 123], 'representative': 26955145, 'size': 6}
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id: 87882484
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1828, 'group_counter': 17, 'group_order': 4896, 'label': '408H-89', 'order': 408, 'powers': [829, 768, 124], 'representative': 56069401, 'size': 6}
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id: 87882485
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1829, 'group_counter': 17, 'group_order': 4896, 'label': '408H91', 'order': 408, 'powers': [797, 769, 124], 'representative': 43169132, 'size': 6}
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id: 87882487
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1830, 'group_counter': 17, 'group_order': 4896, 'label': '408H-91', 'order': 408, 'powers': [798, 770, 123], 'representative': 39504901, 'size': 6}
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id: 87882488
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1831, 'group_counter': 17, 'group_order': 4896, 'label': '408H95', 'order': 408, 'powers': [803, 773, 122], 'representative': 24436523, 'size': 6}
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id: 87882489
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1832, 'group_counter': 17, 'group_order': 4896, 'label': '408H-95', 'order': 408, 'powers': [804, 774, 121], 'representative': 58052233, 'size': 6}
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id: 87882490
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1833, 'group_counter': 17, 'group_order': 4896, 'label': '408H97', 'order': 408, 'powers': [820, 775, 121], 'representative': 29473767, 'size': 6}
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id: 87882491
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1834, 'group_counter': 17, 'group_order': 4896, 'label': '408H-97', 'order': 408, 'powers': [819, 776, 122], 'representative': 40852556, 'size': 6}
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id: 87882492
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1835, 'group_counter': 17, 'group_order': 4896, 'label': '408H101', 'order': 408, 'powers': [814, 779, 123], 'representative': 21584566, 'size': 6}
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id: 87882493
{'aut_label': '408G1', 'centralizer': '6.j1.a1', 'counter': 1836, 'group_counter': 17, 'group_order': 4896, 'label': '408H-101', 'order': 408, 'powers': [813, 780, 124], 'representative': 21772297, 'size': 6}
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group 4896.q does not appear in gps_qchar
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group 4896.q does not appear in gps_char
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gps_subgroup_search • Show schema
Hide schema
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id: 17907778
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': True, 'core_order': 4896, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 102, 'label': '4896.q.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, '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': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4896.q', 'subgroup_hash': 5461394712593768314, 'subgroup_order': 4896, 'subgroup_tex': 'D_{12}.C_{204}', 'supersolvable': True, 'sylow': 0}
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id: 17907889
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': True, 'core_order': 2448, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '2448.bd', 'subgroup_hash': 1344258403811329715, 'subgroup_order': 2448, 'subgroup_tex': 'D_{12}:C_{102}', 'supersolvable': True, 'sylow': 0}
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id: 17907971
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 2448, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, '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': ['F', 'C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2448.v', 'subgroup_hash': 1994011958017552, 'subgroup_order': 2448, 'subgroup_tex': 'C_6\\times C_{408}', 'supersolvable': True, 'sylow': 0}
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id: 17907982
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': True, 'core_order': 2448, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '2448.be', 'subgroup_hash': 8962986389009802603, 'subgroup_order': 2448, 'subgroup_tex': 'C_{12}.C_{204}', 'supersolvable': True, 'sylow': 0}
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id: 17907993
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 2448, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.2.d1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '2448.s', 'subgroup_hash': 5691042146003381161, 'subgroup_order': 2448, 'subgroup_tex': 'S_3\\times C_{408}', 'supersolvable': True, 'sylow': 0}
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id: 17908004
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 2448, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.2.d1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '2448.s', 'subgroup_hash': 5691042146003381161, 'subgroup_order': 2448, 'subgroup_tex': 'S_3\\times C_{408}', 'supersolvable': True, 'sylow': 0}
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id: 17908015
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': False, 'core_order': 2448, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.2.e1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '2448.t', 'subgroup_hash': 7406707972248852639, 'subgroup_order': 2448, 'subgroup_tex': 'C_{24}:C_{102}', 'supersolvable': True, 'sylow': 0}
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id: 17908026
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': False, 'core_order': 2448, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.2.e1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '2448.t', 'subgroup_hash': 7406707972248852639, 'subgroup_order': 2448, 'subgroup_tex': 'C_{24}:C_{102}', 'supersolvable': True, 'sylow': 0}
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id: 17908037
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': True, 'core_order': 1632, 'counter': 9, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '4896.q.3.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1632.776', 'subgroup_hash': 776, 'subgroup_order': 1632, 'subgroup_tex': 'D_{12}.C_{68}', 'supersolvable': True, 'sylow': 0}
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id: 17907779
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 816, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.3.b1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3.b1.a1', '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': 3, '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': '1632.932', 'subgroup_hash': 932, 'subgroup_order': 1632, 'subgroup_tex': '\\OD_{16}:C_{102}', 'supersolvable': True, 'sylow': 0}
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id: 17907790
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': False, 'core_order': 1224, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1224.100', 'subgroup_hash': 100, 'subgroup_order': 1224, 'subgroup_tex': 'D_6:C_{102}', 'supersolvable': True, 'sylow': 0}
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id: 17907801
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': False, 'core_order': 1224, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.4.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1224.100', 'subgroup_hash': 100, 'subgroup_order': 1224, 'subgroup_tex': 'D_6:C_{102}', 'supersolvable': True, 'sylow': 0}
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id: 17907812
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 1224, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, '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': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1224.116', 'subgroup_hash': 116, 'subgroup_order': 1224, 'subgroup_tex': 'C_6\\times C_{204}', 'supersolvable': True, 'sylow': 0}
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id: 17907823
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 1224, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '1224.97', 'subgroup_hash': 97, 'subgroup_order': 1224, 'subgroup_tex': 'S_3\\times C_{204}', 'supersolvable': True, 'sylow': 0}
-
id: 17907834
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 1224, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.4.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '1224.97', 'subgroup_hash': 97, 'subgroup_order': 1224, 'subgroup_tex': 'S_3\\times C_{204}', 'supersolvable': True, 'sylow': 0}
-
id: 17907845
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': True, 'core_order': 1224, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1224.98', 'subgroup_hash': 98, 'subgroup_order': 1224, 'subgroup_tex': 'D_{12}\\times C_{51}', 'supersolvable': True, 'sylow': 0}
-
id: 17907856
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 1224, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '1224.38', 'subgroup_hash': 38, 'subgroup_order': 1224, 'subgroup_tex': 'C_3\\times C_{408}', 'supersolvable': True, 'sylow': 0}
-
id: 17907867
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 1224, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '1224.38', 'subgroup_hash': 38, 'subgroup_order': 1224, 'subgroup_tex': 'C_3\\times C_{408}', 'supersolvable': True, 'sylow': 0}
-
id: 17907878
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 1224, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '1224.34', 'subgroup_hash': 34, 'subgroup_order': 1224, 'subgroup_tex': 'C_3:C_{408}', 'supersolvable': True, 'sylow': 0}
-
id: 17907890
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 1224, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.4.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '1224.34', 'subgroup_hash': 34, 'subgroup_order': 1224, 'subgroup_tex': 'C_3:C_{408}', 'supersolvable': True, 'sylow': 0}
-
id: 17907901
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': True, 'core_order': 1224, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.4.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1224.96', 'subgroup_hash': 96, 'subgroup_order': 1224, 'subgroup_tex': 'C_{12}.C_{102}', 'supersolvable': True, 'sylow': 0}
-
id: 17907912
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': True, 'core_order': 816, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '816.164', 'subgroup_hash': 164, 'subgroup_order': 816, 'subgroup_tex': 'D_{12}:C_{34}', 'supersolvable': True, 'sylow': 0}
-
id: 17907923
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 816, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '816.84', 'subgroup_hash': 84, 'subgroup_order': 816, 'subgroup_tex': 'C_2\\times C_{408}', 'supersolvable': True, 'sylow': 0}
-
id: 17907934
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 816, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.6.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '816.84', 'subgroup_hash': 84, 'subgroup_order': 816, 'subgroup_tex': 'C_2\\times C_{408}', 'supersolvable': True, 'sylow': 0}
-
id: 17907945
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': True, 'core_order': 816, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.6.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '816.55', 'subgroup_hash': 55, 'subgroup_order': 816, 'subgroup_tex': 'C_{12}.C_{68}', 'supersolvable': True, 'sylow': 0}
-
id: 17907956
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 816, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.6.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '816.49', 'subgroup_hash': 49, 'subgroup_order': 816, 'subgroup_tex': 'S_3\\times C_{136}', 'supersolvable': True, 'sylow': 0}
-
id: 17907967
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 816, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.6.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '816.49', 'subgroup_hash': 49, 'subgroup_order': 816, 'subgroup_tex': 'S_3\\times C_{136}', 'supersolvable': True, 'sylow': 0}
-
id: 17907969
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': False, 'core_order': 816, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.6.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '816.50', 'subgroup_hash': 50, 'subgroup_order': 816, 'subgroup_tex': 'C_{24}:C_{34}', 'supersolvable': True, 'sylow': 0}
-
id: 17907970
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': False, 'core_order': 816, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.6.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '816.50', 'subgroup_hash': 50, 'subgroup_order': 816, 'subgroup_tex': 'C_{24}:C_{34}', 'supersolvable': True, 'sylow': 0}
-
id: 17907972
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 408, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.6.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.g1.a1', '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': 6, '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': '816.184', 'subgroup_hash': 184, 'subgroup_order': 816, 'subgroup_tex': 'D_4:C_{102}', 'supersolvable': True, 'sylow': 0}
-
id: 17907973
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 408, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.6.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.h1.a1', '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': 6, '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': '816.85', 'subgroup_hash': 85, 'subgroup_order': 816, 'subgroup_tex': '\\OD_{16}\\times C_{51}', 'supersolvable': True, 'sylow': 0}
-
id: 17907974
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 272, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.6.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.i1.a1', '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': 6, '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': '816.84', 'subgroup_hash': 84, 'subgroup_order': 816, 'subgroup_tex': 'C_2\\times C_{408}', 'supersolvable': True, 'sylow': 0}
-
id: 17907975
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 408, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.6.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.j1.a1', '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': 6, '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': '816.84', 'subgroup_hash': 84, 'subgroup_order': 816, 'subgroup_tex': 'C_2\\times C_{408}', 'supersolvable': True, 'sylow': 0}
-
id: 17907976
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 408, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.6.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.j1.b1', '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': 6, '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': '816.84', 'subgroup_hash': 84, 'subgroup_order': 816, 'subgroup_tex': 'C_2\\times C_{408}', 'supersolvable': True, 'sylow': 0}
-
id: 17907977
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 408, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.6.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.k1.a1', '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': 6, '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': '816.85', 'subgroup_hash': 85, 'subgroup_order': 816, 'subgroup_tex': '\\OD_{16}\\times C_{51}', 'supersolvable': True, 'sylow': 0}
-
id: 17907978
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 408, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.6.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.k1.b1', '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': 6, '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': '816.85', 'subgroup_hash': 85, 'subgroup_order': 816, 'subgroup_tex': '\\OD_{16}\\times C_{51}', 'supersolvable': True, 'sylow': 0}
-
id: 17907979
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 612, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '612.36', 'subgroup_hash': 36, 'subgroup_order': 612, 'subgroup_tex': 'C_6\\times C_{102}', 'supersolvable': True, 'sylow': 0}
-
id: 17907980
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 612, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '612.32', 'subgroup_hash': 32, 'subgroup_order': 612, 'subgroup_tex': 'S_3\\times C_{102}', 'supersolvable': True, 'sylow': 0}
-
id: 17907981
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 612, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.8.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '612.32', 'subgroup_hash': 32, 'subgroup_order': 612, 'subgroup_tex': 'S_3\\times C_{102}', 'supersolvable': True, 'sylow': 0}
-
id: 17907983
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 612, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, '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': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '612.18', 'subgroup_hash': 18, 'subgroup_order': 612, 'subgroup_tex': 'C_3\\times C_{204}', 'supersolvable': True, 'sylow': 0}
-
id: 17907984
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 612, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '612.18', 'subgroup_hash': 18, 'subgroup_order': 612, 'subgroup_tex': 'C_3\\times C_{204}', 'supersolvable': True, 'sylow': 0}
-
id: 17907985
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 612, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '612.14', 'subgroup_hash': 14, 'subgroup_order': 612, 'subgroup_tex': 'C_3:C_{204}', 'supersolvable': True, 'sylow': 0}
-
id: 17907986
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 612, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.8.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '612.14', 'subgroup_hash': 14, 'subgroup_order': 612, 'subgroup_tex': 'C_3:C_{204}', 'supersolvable': True, 'sylow': 0}
-
id: 17907987
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 272, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 34, 'label': '4896.q.9.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9.a1.a1', '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': 9, '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': '544.193', 'subgroup_hash': 193, 'subgroup_order': 544, 'subgroup_tex': '\\OD_{16}:C_{34}', 'supersolvable': True, 'sylow': 0}
-
id: 17907988
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': False, 'core_order': 408, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '408.24', 'subgroup_hash': 24, 'subgroup_order': 408, 'subgroup_tex': 'D_6:C_{34}', 'supersolvable': True, 'sylow': 0}
-
id: 17907989
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': False, 'core_order': 408, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.12.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '408.24', 'subgroup_hash': 24, 'subgroup_order': 408, 'subgroup_tex': 'D_6:C_{34}', 'supersolvable': True, 'sylow': 0}
-
id: 17907990
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 408, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '408.30', 'subgroup_hash': 30, 'subgroup_order': 408, 'subgroup_tex': 'C_2\\times C_{204}', 'supersolvable': True, 'sylow': 0}
-
id: 17907991
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 408, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.12.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '408.30', 'subgroup_hash': 30, 'subgroup_order': 408, 'subgroup_tex': 'C_2\\times C_{204}', 'supersolvable': True, 'sylow': 0}
-
id: 17907992
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 408, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.12.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '408.21', 'subgroup_hash': 21, 'subgroup_order': 408, 'subgroup_tex': 'S_3\\times C_{68}', 'supersolvable': True, 'sylow': 0}
-
id: 17907994
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 408, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.12.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '408.21', 'subgroup_hash': 21, 'subgroup_order': 408, 'subgroup_tex': 'S_3\\times C_{68}', 'supersolvable': True, 'sylow': 0}
-
id: 17907995
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': True, 'core_order': 408, 'counter': 51, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.12.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '408.22', 'subgroup_hash': 22, 'subgroup_order': 408, 'subgroup_tex': 'C_{17}\\times D_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 17907996
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': True, 'central_factor': False, 'centralizer_order': 4896, 'characteristic': True, 'core_order': 408, 'counter': 52, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.12.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '408.4', 'subgroup_hash': 4, 'subgroup_order': 408, 'subgroup_tex': 'C_{408}', 'supersolvable': True, 'sylow': 0}
-
id: 17907997
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 408, 'counter': 53, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.12.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '408.4', 'subgroup_hash': 4, 'subgroup_order': 408, 'subgroup_tex': 'C_{408}', 'supersolvable': True, 'sylow': 0}
-
id: 17907998
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 408, 'counter': 54, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.12.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '408.4', 'subgroup_hash': 4, 'subgroup_order': 408, 'subgroup_tex': 'C_{408}', 'supersolvable': True, 'sylow': 0}
-
id: 17907999
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 408, 'counter': 55, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.12.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '408.4', 'subgroup_hash': 4, 'subgroup_order': 408, 'subgroup_tex': 'C_{408}', 'supersolvable': True, 'sylow': 0}
-
id: 17908000
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 408, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.12.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '408.1', 'subgroup_hash': 1, 'subgroup_order': 408, 'subgroup_tex': 'C_3:C_{136}', 'supersolvable': True, 'sylow': 0}
-
id: 17908001
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 408, 'counter': 57, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.12.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '408.1', 'subgroup_hash': 1, 'subgroup_order': 408, 'subgroup_tex': 'C_3:C_{136}', 'supersolvable': True, 'sylow': 0}
-
id: 17908002
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': True, 'core_order': 408, 'counter': 58, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.12.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '408.20', 'subgroup_hash': 20, 'subgroup_order': 408, 'subgroup_tex': 'C_{51}:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 17908003
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 204, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.12.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.l1.a1', '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': 12, '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': '408.31', 'subgroup_hash': 31, 'subgroup_order': 408, 'subgroup_tex': 'D_4\\times C_{51}', 'supersolvable': True, 'sylow': 0}
-
id: 17908005
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 204, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.12.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.l1.b1', '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': 12, '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': '408.31', 'subgroup_hash': 31, 'subgroup_order': 408, 'subgroup_tex': 'D_4\\times C_{51}', 'supersolvable': True, 'sylow': 0}
-
id: 17908006
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 136, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.12.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.m1.a1', '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': 12, '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': '408.30', 'subgroup_hash': 30, 'subgroup_order': 408, 'subgroup_tex': 'C_2\\times C_{204}', 'supersolvable': True, 'sylow': 0}
-
id: 17908007
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 204, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.12.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.n1.a1', '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': 12, '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': '408.30', 'subgroup_hash': 30, 'subgroup_order': 408, 'subgroup_tex': 'C_2\\times C_{204}', 'supersolvable': True, 'sylow': 0}
-
id: 17908008
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 204, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.12.n1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.n1.b1', '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': 12, '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': '408.30', 'subgroup_hash': 30, 'subgroup_order': 408, 'subgroup_tex': 'C_2\\times C_{204}', 'supersolvable': True, 'sylow': 0}
-
id: 17908009
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 204, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.12.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.o1.a1', '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': 12, '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': '408.31', 'subgroup_hash': 31, 'subgroup_order': 408, 'subgroup_tex': 'D_4\\times C_{51}', 'supersolvable': True, 'sylow': 0}
-
id: 17908010
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 204, 'counter': 65, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.12.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.p1.a1', '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': 12, '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': '408.4', 'subgroup_hash': 4, 'subgroup_order': 408, 'subgroup_tex': 'C_{408}', 'supersolvable': True, 'sylow': 0}
-
id: 17908011
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 204, 'counter': 66, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.12.p1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.p1.b1', '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': 12, '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': '408.4', 'subgroup_hash': 4, 'subgroup_order': 408, 'subgroup_tex': 'C_{408}', 'supersolvable': True, 'sylow': 0}
-
id: 17908012
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 204, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.12.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.q1.a1', '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': 12, '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': '408.32', 'subgroup_hash': 32, 'subgroup_order': 408, 'subgroup_tex': 'Q_8\\times C_{51}', 'supersolvable': True, 'sylow': 0}
-
id: 17908013
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 136, 'counter': 68, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.12.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.r1.a1', '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': 12, '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': '408.4', 'subgroup_hash': 4, 'subgroup_order': 408, 'subgroup_tex': 'C_{408}', 'supersolvable': True, 'sylow': 0}
-
id: 17908014
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 136, 'counter': 69, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.12.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.s1.a1', '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': 12, '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': '408.4', 'subgroup_hash': 4, 'subgroup_order': 408, 'subgroup_tex': 'C_{408}', 'supersolvable': True, 'sylow': 0}
-
id: 17908016
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 306, 'counter': 70, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '306.10', 'subgroup_hash': 10, 'subgroup_order': 306, 'subgroup_tex': 'C_3\\times C_{102}', 'supersolvable': True, 'sylow': 0}
-
id: 17908017
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 153, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.b1.a1', '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': 16, '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': '306.10', 'subgroup_hash': 10, 'subgroup_order': 306, 'subgroup_tex': 'C_3\\times C_{102}', 'supersolvable': True, 'sylow': 0}
-
id: 17908018
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 153, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.16.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.c1.a1', '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': 16, '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': '306.6', 'subgroup_hash': 6, 'subgroup_order': 306, 'subgroup_tex': 'S_3\\times C_{51}', 'supersolvable': True, 'sylow': 0}
-
id: 17908019
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 153, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.16.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.c1.b1', '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': 16, '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': '306.6', 'subgroup_hash': 6, 'subgroup_order': 306, 'subgroup_tex': 'S_3\\times C_{51}', 'supersolvable': True, 'sylow': 0}
-
id: 17908020
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': True, 'core_order': 288, 'counter': 74, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '4896.q.17.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '17.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '17.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 17, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{17}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '288.672', 'subgroup_hash': 672, 'subgroup_order': 288, 'subgroup_tex': 'C_{24}.D_6', 'supersolvable': True, 'sylow': 0}
-
id: 17908021
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 272, 'counter': 75, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.18.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '18.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '272.23', 'subgroup_hash': 23, 'subgroup_order': 272, 'subgroup_tex': 'C_2\\times C_{136}', 'supersolvable': True, 'sylow': 0}
-
id: 17908022
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 136, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.18.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.b1.a1', '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': 18, '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': '272.49', 'subgroup_hash': 49, 'subgroup_order': 272, 'subgroup_tex': 'D_4:C_{34}', 'supersolvable': True, 'sylow': 0}
-
id: 17908023
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 136, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.18.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.c1.a1', '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': 18, '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': '272.24', 'subgroup_hash': 24, 'subgroup_order': 272, 'subgroup_tex': '\\OD_{16}\\times C_{17}', 'supersolvable': True, 'sylow': 0}
-
id: 17908024
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 136, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.18.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.d1.a1', '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': 18, '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': '272.23', 'subgroup_hash': 23, 'subgroup_order': 272, 'subgroup_tex': 'C_2\\times C_{136}', 'supersolvable': True, 'sylow': 0}
-
id: 17908025
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 136, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.18.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.d1.b1', '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': 18, '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': '272.23', 'subgroup_hash': 23, 'subgroup_order': 272, 'subgroup_tex': 'C_2\\times C_{136}', 'supersolvable': True, 'sylow': 0}
-
id: 17908027
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 136, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.18.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.e1.a1', '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': 18, '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': '272.24', 'subgroup_hash': 24, 'subgroup_order': 272, 'subgroup_tex': '\\OD_{16}\\times C_{17}', 'supersolvable': True, 'sylow': 0}
-
id: 17908028
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 136, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.18.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.e1.b1', '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': 18, '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': '272.24', 'subgroup_hash': 24, 'subgroup_order': 272, 'subgroup_tex': '\\OD_{16}\\times C_{17}', 'supersolvable': True, 'sylow': 0}
-
id: 17908029
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 204, 'counter': 82, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '204.12', 'subgroup_hash': 12, 'subgroup_order': 204, 'subgroup_tex': 'C_2\\times C_{102}', 'supersolvable': True, 'sylow': 0}
-
id: 17908030
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 204, 'counter': 83, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '204.12', 'subgroup_hash': 12, 'subgroup_order': 204, 'subgroup_tex': 'C_2\\times C_{102}', 'supersolvable': True, 'sylow': 0}
-
id: 17908031
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 204, 'counter': 84, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.24.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '204.10', 'subgroup_hash': 10, 'subgroup_order': 204, 'subgroup_tex': 'S_3\\times C_{34}', 'supersolvable': True, 'sylow': 0}
-
id: 17908032
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 204, 'counter': 85, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.24.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '204.10', 'subgroup_hash': 10, 'subgroup_order': 204, 'subgroup_tex': 'S_3\\times C_{34}', 'supersolvable': True, 'sylow': 0}
-
id: 17908033
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': True, 'central_factor': False, 'centralizer_order': 4896, 'characteristic': True, 'core_order': 204, 'counter': 86, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.24.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '204.4', 'subgroup_hash': 4, 'subgroup_order': 204, 'subgroup_tex': 'C_{204}', 'supersolvable': True, 'sylow': 0}
-
id: 17908034
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 204, 'counter': 87, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.24.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '204.4', 'subgroup_hash': 4, 'subgroup_order': 204, 'subgroup_tex': 'C_{204}', 'supersolvable': True, 'sylow': 0}
-
id: 17908035
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 204, 'counter': 88, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.24.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '204.4', 'subgroup_hash': 4, 'subgroup_order': 204, 'subgroup_tex': 'C_{204}', 'supersolvable': True, 'sylow': 0}
-
id: 17908036
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 204, 'counter': 89, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.24.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '204.4', 'subgroup_hash': 4, 'subgroup_order': 204, 'subgroup_tex': 'C_{204}', 'supersolvable': True, 'sylow': 0}
-
id: 17908038
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 204, 'counter': 90, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.24.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '204.1', 'subgroup_hash': 1, 'subgroup_order': 204, 'subgroup_tex': 'C_3:C_{68}', 'supersolvable': True, 'sylow': 0}
-
id: 17908039
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 204, 'counter': 91, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.24.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '204.1', 'subgroup_hash': 1, 'subgroup_order': 204, 'subgroup_tex': 'C_3:C_{68}', 'supersolvable': True, 'sylow': 0}
-
id: 17908040
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 68, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.24.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.i1.a1', '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': 24, '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': '204.12', 'subgroup_hash': 12, 'subgroup_order': 204, 'subgroup_tex': 'C_2\\times C_{102}', 'supersolvable': True, 'sylow': 0}
-
id: 17908041
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 102, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.24.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.j1.a1', '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': 24, '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': '204.12', 'subgroup_hash': 12, 'subgroup_order': 204, 'subgroup_tex': 'C_2\\times C_{102}', 'supersolvable': True, 'sylow': 0}
-
id: 17908042
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 102, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.24.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.j1.b1', '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': 24, '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': '204.12', 'subgroup_hash': 12, 'subgroup_order': 204, 'subgroup_tex': 'C_2\\times C_{102}', 'supersolvable': True, 'sylow': 0}
-
id: 17908043
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 102, 'counter': 95, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.24.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.k1.a1', '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': 24, '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': '204.4', 'subgroup_hash': 4, 'subgroup_order': 204, 'subgroup_tex': 'C_{204}', 'supersolvable': True, 'sylow': 0}
-
id: 17908044
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 102, 'counter': 96, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.24.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.k1.b1', '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': 24, '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': '204.4', 'subgroup_hash': 4, 'subgroup_order': 204, 'subgroup_tex': 'C_{204}', 'supersolvable': True, 'sylow': 0}
-
id: 17908045
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 68, 'counter': 97, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.24.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.l1.a1', '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': 24, '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': '204.4', 'subgroup_hash': 4, 'subgroup_order': 204, 'subgroup_tex': 'C_{204}', 'supersolvable': True, 'sylow': 0}
-
id: 17908046
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 68, 'counter': 98, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.24.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.m1.a1', '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': 24, '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': '204.4', 'subgroup_hash': 4, 'subgroup_order': 204, 'subgroup_tex': 'C_{204}', 'supersolvable': True, 'sylow': 0}
-
id: 17908047
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 153, 'counter': 99, 'cyclic': False, 'direct': False, 'hall': 51, 'label': '4896.q.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '153.2', 'subgroup_hash': 2, 'subgroup_order': 153, 'subgroup_tex': 'C_3\\times C_{51}', 'supersolvable': True, 'sylow': 0}
-
id: 17907780
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': True, 'core_order': 144, 'counter': 100, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.34.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '34.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '34.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 34, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.161', 'subgroup_hash': 161, 'subgroup_order': 144, 'subgroup_tex': 'D_{12}:C_6', 'supersolvable': True, 'sylow': 0}
-
id: 17907781
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 144, 'counter': 101, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.34.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '34.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '34.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 34, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '144.104', 'subgroup_hash': 104, 'subgroup_order': 144, 'subgroup_tex': 'C_6\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 17907782
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': True, 'core_order': 144, 'counter': 102, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.34.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '34.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '34.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 34, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '144.75', 'subgroup_hash': 75, 'subgroup_order': 144, 'subgroup_tex': 'C_{12}.C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 17907783
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 144, 'counter': 103, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.34.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '34.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '34.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 34, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '144.69', 'subgroup_hash': 69, 'subgroup_order': 144, 'subgroup_tex': 'S_3\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 17907784
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 144, 'counter': 104, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.34.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '34.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '34.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 34, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '144.69', 'subgroup_hash': 69, 'subgroup_order': 144, 'subgroup_tex': 'S_3\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 17907785
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': False, 'core_order': 144, 'counter': 105, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.34.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '34.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '34.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 34, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '144.70', 'subgroup_hash': 70, 'subgroup_order': 144, 'subgroup_tex': 'C_{24}:C_6', 'supersolvable': True, 'sylow': 0}
-
id: 17907786
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': False, 'core_order': 144, 'counter': 106, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.34.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '34.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '34.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 34, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '144.70', 'subgroup_hash': 70, 'subgroup_order': 144, 'subgroup_tex': 'C_{24}:C_6', 'supersolvable': True, 'sylow': 0}
-
id: 17907787
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 136, 'counter': 107, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.36.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '136.9', 'subgroup_hash': 9, 'subgroup_order': 136, 'subgroup_tex': 'C_2\\times C_{68}', 'supersolvable': True, 'sylow': 0}
-
id: 17907788
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': True, 'central_factor': False, 'centralizer_order': 4896, 'characteristic': True, 'core_order': 136, 'counter': 108, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.36.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '136.2', 'subgroup_hash': 2, 'subgroup_order': 136, 'subgroup_tex': 'C_{136}', 'supersolvable': True, 'sylow': 0}
-
id: 17907789
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 136, 'counter': 109, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.36.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '136.2', 'subgroup_hash': 2, 'subgroup_order': 136, 'subgroup_tex': 'C_{136}', 'supersolvable': True, 'sylow': 0}
-
id: 17907791
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 68, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.36.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.d1.a1', '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': 36, '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': '136.10', 'subgroup_hash': 10, 'subgroup_order': 136, 'subgroup_tex': 'D_4\\times C_{17}', 'supersolvable': True, 'sylow': 0}
-
id: 17907792
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 68, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.36.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.d1.b1', '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': 36, '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': '136.10', 'subgroup_hash': 10, 'subgroup_order': 136, 'subgroup_tex': 'D_4\\times C_{17}', 'supersolvable': True, 'sylow': 0}
-
id: 17907793
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 68, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.36.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.e1.a1', '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': 36, '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': '136.9', 'subgroup_hash': 9, 'subgroup_order': 136, 'subgroup_tex': 'C_2\\times C_{68}', 'supersolvable': True, 'sylow': 0}
-
id: 17907794
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 68, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.36.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.e1.b1', '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': 36, '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': '136.9', 'subgroup_hash': 9, 'subgroup_order': 136, 'subgroup_tex': 'C_2\\times C_{68}', 'supersolvable': True, 'sylow': 0}
-
id: 17907795
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 68, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.36.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.f1.a1', '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': 36, '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': '136.10', 'subgroup_hash': 10, 'subgroup_order': 136, 'subgroup_tex': 'D_4\\times C_{17}', 'supersolvable': True, 'sylow': 0}
-
id: 17907796
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 68, 'counter': 115, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.36.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.g1.a1', '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': 36, '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': '136.2', 'subgroup_hash': 2, 'subgroup_order': 136, 'subgroup_tex': 'C_{136}', 'supersolvable': True, 'sylow': 0}
-
id: 17907797
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 68, 'counter': 116, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.36.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.g1.b1', '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': 36, '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': '136.2', 'subgroup_hash': 2, 'subgroup_order': 136, 'subgroup_tex': 'C_{136}', 'supersolvable': True, 'sylow': 0}
-
id: 17907798
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 68, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.36.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.h1.a1', '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': 36, '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': '136.11', 'subgroup_hash': 11, 'subgroup_order': 136, 'subgroup_tex': 'Q_8\\times C_{17}', 'supersolvable': True, 'sylow': 0}
-
id: 17907799
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': True, 'central_factor': False, 'centralizer_order': 4896, 'characteristic': True, 'core_order': 102, 'counter': 118, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.35', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 35, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '102.4', 'subgroup_hash': 4, 'subgroup_order': 102, 'subgroup_tex': 'C_{102}', 'supersolvable': True, 'sylow': 0}
-
id: 17907800
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 102, 'counter': 119, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.48.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.44', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '102.4', 'subgroup_hash': 4, 'subgroup_order': 102, 'subgroup_tex': 'C_{102}', 'supersolvable': True, 'sylow': 0}
-
id: 17907802
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 34, 'counter': 120, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.48.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.c1.a1', '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': 48, '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': '102.4', 'subgroup_hash': 4, 'subgroup_order': 102, 'subgroup_tex': 'C_{102}', 'supersolvable': True, 'sylow': 0}
-
id: 17907803
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 51, 'counter': 121, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.48.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.d1.a1', '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': 48, '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': '102.4', 'subgroup_hash': 4, 'subgroup_order': 102, 'subgroup_tex': 'C_{102}', 'supersolvable': True, 'sylow': 0}
-
id: 17907804
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 51, 'counter': 122, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.48.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.e1.a1', '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': 48, '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': '102.4', 'subgroup_hash': 4, 'subgroup_order': 102, 'subgroup_tex': 'C_{102}', 'supersolvable': True, 'sylow': 0}
-
id: 17907805
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 17, 'counter': 123, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.48.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.f1.a1', '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': 48, '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': '102.4', 'subgroup_hash': 4, 'subgroup_order': 102, 'subgroup_tex': 'C_{102}', 'supersolvable': True, 'sylow': 0}
-
id: 17907806
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 17, 'counter': 124, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.48.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.f1.b1', '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': 48, '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': '102.4', 'subgroup_hash': 4, 'subgroup_order': 102, 'subgroup_tex': 'C_{102}', 'supersolvable': True, 'sylow': 0}
-
id: 17907807
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 51, 'counter': 125, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.48.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.g1.a1', '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': 48, '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': '102.4', 'subgroup_hash': 4, 'subgroup_order': 102, 'subgroup_tex': 'C_{102}', 'supersolvable': True, 'sylow': 0}
-
id: 17907808
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 51, 'counter': 126, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.48.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.g1.b1', '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': 48, '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': '102.4', 'subgroup_hash': 4, 'subgroup_order': 102, 'subgroup_tex': 'C_{102}', 'supersolvable': True, 'sylow': 0}
-
id: 17907809
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 51, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.48.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.h1.a1', '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': 48, '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': '102.1', 'subgroup_hash': 1, 'subgroup_order': 102, 'subgroup_tex': 'S_3\\times C_{17}', 'supersolvable': True, 'sylow': 0}
-
id: 17907810
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 51, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.48.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.h1.b1', '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': 48, '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': '102.1', 'subgroup_hash': 1, 'subgroup_order': 102, 'subgroup_tex': 'S_3\\times C_{17}', 'supersolvable': True, 'sylow': 0}
-
id: 17907811
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': True, 'core_order': 96, 'counter': 129, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '4896.q.51.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '51.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '51.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 51, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{51}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.108', 'subgroup_hash': 108, 'subgroup_order': 96, 'subgroup_tex': 'C_8.D_6', 'supersolvable': True, 'sylow': 0}
-
id: 17907813
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 48, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.51.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '51.b1.a1', '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': 51, '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': '96.178', 'subgroup_hash': 178, 'subgroup_order': 96, 'subgroup_tex': '\\OD_{16}:C_6', 'supersolvable': True, 'sylow': 0}
-
id: 17907814
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': False, 'core_order': 72, 'counter': 131, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.68.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '68.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '68.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 68, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{68}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.30', 'subgroup_hash': 30, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 17907815
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': False, 'core_order': 72, 'counter': 132, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.68.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '68.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '68.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 68, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{68}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.30', 'subgroup_hash': 30, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 17907816
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 72, 'counter': 133, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.68.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '68.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '68.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 68, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.36', 'subgroup_hash': 36, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 17907817
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 72, 'counter': 134, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.68.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '68.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '68.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 68, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.27', 'subgroup_hash': 27, 'subgroup_order': 72, 'subgroup_tex': 'S_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 17907818
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 72, 'counter': 135, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.68.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '68.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '68.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 68, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.27', 'subgroup_hash': 27, 'subgroup_order': 72, 'subgroup_tex': 'S_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 17907819
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': True, 'core_order': 72, 'counter': 136, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.68.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '68.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '68.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 68, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{68}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.28', 'subgroup_hash': 28, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times D_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 17907820
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 72, 'counter': 137, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.68.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '68.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '68.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 68, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.14', 'subgroup_hash': 14, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 17907821
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 72, 'counter': 138, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.68.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '68.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '68.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 68, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.14', 'subgroup_hash': 14, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 17907822
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 72, 'counter': 139, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.68.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '68.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '68.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 68, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.12', 'subgroup_hash': 12, 'subgroup_order': 72, 'subgroup_tex': 'C_3:C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 17907824
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 72, 'counter': 140, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.68.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '68.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '68.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 68, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.12', 'subgroup_hash': 12, 'subgroup_order': 72, 'subgroup_tex': 'C_3:C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 17907825
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': True, 'core_order': 72, 'counter': 141, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.68.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '68.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '68.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 68, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{68}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.26', 'subgroup_hash': 26, 'subgroup_order': 72, 'subgroup_tex': 'C_3^2:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 17907826
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 68, 'counter': 142, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.72.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '72.27', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '68.5', 'subgroup_hash': 5, 'subgroup_order': 68, 'subgroup_tex': 'C_2\\times C_{34}', 'supersolvable': True, 'sylow': 0}
-
id: 17907827
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': True, 'central_factor': False, 'centralizer_order': 4896, 'characteristic': True, 'core_order': 68, 'counter': 143, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.72.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '72.48', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '68.2', 'subgroup_hash': 2, 'subgroup_order': 68, 'subgroup_tex': 'C_{68}', 'supersolvable': True, 'sylow': 0}
-
id: 17907828
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 68, 'counter': 144, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.72.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '72.27', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '68.2', 'subgroup_hash': 2, 'subgroup_order': 68, 'subgroup_tex': 'C_{68}', 'supersolvable': True, 'sylow': 0}
-
id: 17907829
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 34, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.72.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.d1.a1', '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': 72, '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': '68.5', 'subgroup_hash': 5, 'subgroup_order': 68, 'subgroup_tex': 'C_2\\times C_{34}', 'supersolvable': True, 'sylow': 0}
-
id: 17907830
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 34, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.72.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.d1.b1', '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': 72, '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': '68.5', 'subgroup_hash': 5, 'subgroup_order': 68, 'subgroup_tex': 'C_2\\times C_{34}', 'supersolvable': True, 'sylow': 0}
-
id: 17907831
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 34, 'counter': 147, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.72.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.e1.a1', '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': 72, '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': '68.2', 'subgroup_hash': 2, 'subgroup_order': 68, 'subgroup_tex': 'C_{68}', 'supersolvable': True, 'sylow': 0}
-
id: 17907832
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 34, 'counter': 148, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.72.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.e1.b1', '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': 72, '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': '68.2', 'subgroup_hash': 2, 'subgroup_order': 68, 'subgroup_tex': 'C_{68}', 'supersolvable': True, 'sylow': 0}
-
id: 17907833
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': True, 'central_factor': False, 'centralizer_order': 4896, 'characteristic': True, 'core_order': 51, 'counter': 149, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '4896.q.96.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.108', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 108, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '51.1', 'subgroup_hash': 1, 'subgroup_order': 51, 'subgroup_tex': 'C_{51}', 'supersolvable': True, 'sylow': 0}
-
id: 17907835
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 51, 'counter': 150, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.96.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.178', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 178, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '51.1', 'subgroup_hash': 1, 'subgroup_order': 51, 'subgroup_tex': 'C_{51}', 'supersolvable': True, 'sylow': 0}
-
id: 17907836
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 17, 'counter': 151, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.96.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.c1.a1', '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': 96, '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': '51.1', 'subgroup_hash': 1, 'subgroup_order': 51, 'subgroup_tex': 'C_{51}', 'supersolvable': True, 'sylow': 0}
-
id: 17907837
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': True, 'core_order': 48, 'counter': 152, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.102.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '102.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '102.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 102, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{102}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.37', 'subgroup_hash': 37, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
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id: 17907838
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 48, 'counter': 153, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.102.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '102.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '102.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 102, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{17}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 17907839
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 48, 'counter': 154, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.102.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '102.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '102.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 102, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{102}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 17907840
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': True, 'core_order': 48, 'counter': 155, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.102.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '102.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '102.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 102, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{102}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.10', 'subgroup_hash': 10, 'subgroup_order': 48, 'subgroup_tex': 'C_3:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
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id: 17907841
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 48, 'counter': 156, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.102.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '102.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '102.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 102, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{102}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.4', 'subgroup_hash': 4, 'subgroup_order': 48, 'subgroup_tex': 'S_3\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 17907842
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 48, 'counter': 157, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.102.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '102.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '102.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 102, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{102}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.4', 'subgroup_hash': 4, 'subgroup_order': 48, 'subgroup_tex': 'S_3\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 17907843
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': False, 'core_order': 48, 'counter': 158, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.102.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '102.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '102.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 102, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{102}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.5', 'subgroup_hash': 5, 'subgroup_order': 48, 'subgroup_tex': 'C_{24}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 17907844
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': False, 'core_order': 48, 'counter': 159, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.102.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '102.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '102.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 102, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{102}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.5', 'subgroup_hash': 5, 'subgroup_order': 48, 'subgroup_tex': 'C_{24}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 17907846
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 24, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.102.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '102.g1.a1', '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': 102, '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': '48.47', 'subgroup_hash': 47, 'subgroup_order': 48, 'subgroup_tex': 'D_4:C_6', 'supersolvable': True, 'sylow': 0}
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id: 17907847
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 24, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.102.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '102.h1.a1', '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': 102, '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': '48.24', 'subgroup_hash': 24, 'subgroup_order': 48, 'subgroup_tex': 'C_3\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 17907848
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 16, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.102.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '102.i1.a1', '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': 102, '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': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 17907849
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 24, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.102.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '102.j1.a1', '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': 102, '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': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 17907850
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 24, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.102.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '102.j1.b1', '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': 102, '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': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 17907851
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 24, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.102.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '102.k1.a1', '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': 102, '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': '48.24', 'subgroup_hash': 24, 'subgroup_order': 48, 'subgroup_tex': 'C_3\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 17907852
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 24, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.102.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '102.k1.b1', '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': 102, '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': '48.24', 'subgroup_hash': 24, 'subgroup_order': 48, 'subgroup_tex': 'C_3\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 17907853
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 36, 'counter': 167, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.136.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '136.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '136.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 136, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{68}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
-
id: 17907854
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 36, 'counter': 168, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.136.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '136.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '136.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 136, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{68}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.12', 'subgroup_hash': 12, 'subgroup_order': 36, 'subgroup_tex': 'C_6\\times S_3', 'supersolvable': True, 'sylow': 0}
-
id: 17907855
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 36, 'counter': 169, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.136.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '136.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '136.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 136, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{68}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.12', 'subgroup_hash': 12, 'subgroup_order': 36, 'subgroup_tex': 'C_6\\times S_3', 'supersolvable': True, 'sylow': 0}
-
id: 17907857
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 36, 'counter': 170, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.136.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '136.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '136.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 136, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 17907858
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 36, 'counter': 171, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.136.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '136.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '136.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 136, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{68}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 17907859
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 36, 'counter': 172, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.136.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '136.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '136.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 136, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{68}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.6', 'subgroup_hash': 6, 'subgroup_order': 36, 'subgroup_tex': 'C_3:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 17907860
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 36, 'counter': 173, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.136.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '136.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '136.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 136, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{68}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.6', 'subgroup_hash': 6, 'subgroup_order': 36, 'subgroup_tex': 'C_3:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 17907861
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': True, 'central_factor': False, 'centralizer_order': 4896, 'characteristic': True, 'core_order': 34, 'counter': 174, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.144.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '144.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '144.159', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 159, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '34.2', 'subgroup_hash': 2, 'subgroup_order': 34, 'subgroup_tex': 'C_{34}', 'supersolvable': True, 'sylow': 0}
-
id: 17907862
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 17, 'counter': 175, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.144.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.b1.a1', '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': 144, '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': '34.2', 'subgroup_hash': 2, 'subgroup_order': 34, 'subgroup_tex': 'C_{34}', 'supersolvable': True, 'sylow': 0}
-
id: 17907863
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 17, 'counter': 176, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.144.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.c1.a1', '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': 144, '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': '34.2', 'subgroup_hash': 2, 'subgroup_order': 34, 'subgroup_tex': 'C_{34}', 'supersolvable': True, 'sylow': 0}
-
id: 17907864
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 17, 'counter': 177, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.144.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.c1.b1', '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': 144, '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': '34.2', 'subgroup_hash': 2, 'subgroup_order': 34, 'subgroup_tex': 'C_{34}', 'supersolvable': True, 'sylow': 0}
-
id: 17907865
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 16, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '4896.q.153.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '153.a1.a1', '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': 153, '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': '32.38', 'subgroup_hash': 38, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 2}
-
id: 17907866
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': False, 'core_order': 24, 'counter': 179, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.204.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '204.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '204.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 204, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{204}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 17907868
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': False, 'core_order': 24, 'counter': 180, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.204.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '204.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '204.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 204, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{204}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 17907869
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 24, 'counter': 181, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.204.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '204.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '204.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 204, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 17907870
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 24, 'counter': 182, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.204.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '204.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '204.12', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 204, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{102}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 17907871
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 24, 'counter': 183, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.204.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '204.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '204.12', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 204, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{102}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
-
id: 17907872
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 24, 'counter': 184, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.204.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '204.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '204.12', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 204, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{102}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
-
id: 17907873
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': True, 'core_order': 24, 'counter': 185, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.204.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '204.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '204.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 204, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{204}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.6', 'subgroup_hash': 6, 'subgroup_order': 24, 'subgroup_tex': 'D_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 17907874
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': True, 'central_factor': False, 'centralizer_order': 4896, 'characteristic': True, 'core_order': 24, 'counter': 186, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.204.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '204.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '204.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 204, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 17907875
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 24, 'counter': 187, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.204.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '204.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '204.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 204, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 17907876
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 24, 'counter': 188, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.204.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '204.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '204.12', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 204, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{102}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 17907877
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 24, 'counter': 189, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.204.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '204.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '204.12', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 204, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{102}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 17907879
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 24, 'counter': 190, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.204.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '204.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '204.12', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 204, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{102}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 17907880
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 24, 'counter': 191, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.204.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '204.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '204.12', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 204, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{102}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 17907881
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': True, 'centralizer_order': 408, 'characteristic': True, 'core_order': 24, 'counter': 192, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.204.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '204.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '204.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 204, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{204}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 17907882
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 12, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.204.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '204.l1.a1', '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': 204, '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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 17907883
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 12, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.204.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '204.l1.b1', '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': 204, '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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
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id: 17907884
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 8, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.204.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '204.m1.a1', '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': 204, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 17907885
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 12, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.204.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '204.n1.a1', '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': 204, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 17907886
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 12, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.204.n1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '204.n1.b1', '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': 204, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 17907887
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 12, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.204.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '204.o1.a1', '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': 204, '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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 17907888
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 12, 'counter': 199, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.204.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '204.p1.a1', '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': 204, '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': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 17907891
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 12, 'counter': 200, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.204.p1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '204.p1.b1', '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': 204, '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': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 17907892
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 12, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.204.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '204.q1.a1', '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': 204, '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': '24.11', 'subgroup_hash': 11, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 17907893
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 8, 'counter': 202, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.204.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '204.r1.a1', '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': 204, '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': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 17907894
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 8, 'counter': 203, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.204.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '204.s1.a1', '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': 204, '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': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 17907895
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 18, 'counter': 204, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.272.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '272.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '272.46', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 272, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{68}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 17907896
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 9, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.272.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '272.b1.a1', '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': 272, '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': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
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id: 17907897
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 9, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.272.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '272.c1.a1', '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': 272, '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': '18.3', 'subgroup_hash': 3, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times S_3', 'supersolvable': True, 'sylow': 0}
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id: 17907898
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 9, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.272.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '272.c1.b1', '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': 272, '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': '18.3', 'subgroup_hash': 3, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times S_3', 'supersolvable': True, 'sylow': 0}
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id: 17907899
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': True, 'central_factor': False, 'centralizer_order': 4896, 'characteristic': True, 'core_order': 17, 'counter': 208, 'cyclic': True, 'direct': True, 'hall': 17, 'label': '4896.q.288.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '288.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '288.672', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 672, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}.D_6', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '17.1', 'subgroup_hash': 1, 'subgroup_order': 17, 'subgroup_tex': 'C_{17}', 'supersolvable': True, 'sylow': 17}
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id: 17907900
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 16, 'counter': 209, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.306.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '306.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '306.6', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 306, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{51}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 17907902
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 8, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.306.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '306.b1.a1', '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': 306, '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': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
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id: 17907903
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 8, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.306.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '306.c1.a1', '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': 306, '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': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
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id: 17907904
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 8, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.306.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '306.d1.a1', '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': 306, '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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 17907905
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 8, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.306.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '306.d1.b1', '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': 306, '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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 17907906
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 8, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.306.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '306.e1.a1', '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': 306, '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': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
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id: 17907907
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 8, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.306.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '306.e1.b1', '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': 306, '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': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
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id: 17907908
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 12, 'counter': 216, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.408.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '408.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '408.21', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 408, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{68}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
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id: 17907909
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 12, 'counter': 217, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.408.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '408.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '408.30', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 408, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{204}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
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id: 17907910
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 12, 'counter': 218, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.408.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '408.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '408.30', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 408, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{204}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
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id: 17907911
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 12, 'counter': 219, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.408.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '408.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '408.30', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 408, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{204}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
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id: 17907913
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': True, 'central_factor': False, 'centralizer_order': 4896, 'characteristic': True, 'core_order': 12, 'counter': 220, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.408.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '408.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '408.44', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 408, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6\\times C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 17907914
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 12, 'counter': 221, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.408.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '408.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '408.21', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 408, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{68}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 17907915
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 12, 'counter': 222, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.408.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '408.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '408.46', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 408, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{102}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 17907916
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 12, 'counter': 223, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.408.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '408.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '408.30', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 408, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{204}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 17907917
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 12, 'counter': 224, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.408.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '408.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '408.30', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 408, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{204}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 17907918
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 12, 'counter': 225, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.408.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '408.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '408.30', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 408, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{204}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 17907919
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 4, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.408.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '408.i1.a1', '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': 408, '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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
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id: 17907920
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 6, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.408.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '408.j1.a1', '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': 408, '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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
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id: 17907921
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 6, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.408.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '408.j1.b1', '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': 408, '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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
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id: 17907922
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 6, 'counter': 229, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.408.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '408.k1.a1', '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': 408, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 17907924
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 6, 'counter': 230, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.408.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '408.k1.b1', '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': 408, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 17907925
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 4, 'counter': 231, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.408.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '408.l1.a1', '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': 408, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 17907926
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 4, 'counter': 232, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.408.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '408.m1.a1', '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': 408, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 17907927
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 9, 'counter': 233, 'cyclic': False, 'direct': False, 'hall': 3, 'label': '4896.q.544.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '544.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '544.193', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 193, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 544, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}:C_{34}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 3}
-
id: 17907928
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 8, 'counter': 234, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.612.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '612.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '612.32', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 32, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 612, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{102}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 17907929
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': True, 'central_factor': False, 'centralizer_order': 4896, 'characteristic': True, 'core_order': 8, 'counter': 235, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.612.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '612.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '612.32', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 32, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 612, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{102}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
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id: 17907930
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 8, 'counter': 236, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.612.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '612.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '612.32', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 32, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 612, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{102}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 17907931
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 4, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.612.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '612.d1.a1', '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': 612, '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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
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id: 17907932
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 4, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.612.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '612.d1.b1', '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': 612, '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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
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id: 17907933
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 4, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.612.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '612.e1.a1', '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': 612, '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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 17907935
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 4, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.612.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '612.e1.b1', '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': 612, '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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 17907936
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 4, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.612.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '612.f1.a1', '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': 612, '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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 17907937
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 4, 'counter': 242, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.612.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '612.g1.a1', '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': 612, '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': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 17907938
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 4, 'counter': 243, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.612.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '612.g1.b1', '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': 612, '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': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 17907939
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 4, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.612.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '612.h1.a1', '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': 612, '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': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 17907940
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': True, 'central_factor': False, 'centralizer_order': 4896, 'characteristic': True, 'core_order': 6, 'counter': 245, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.816.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '816.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '816.162', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 162, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 816, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6\\times C_{68}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 17907941
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 6, 'counter': 246, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.816.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '816.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '816.181', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 181, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 816, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{204}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C6'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 17907942
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 2, 'counter': 247, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.816.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '816.c1.a1', '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': 816, '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': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 17907943
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 3, 'counter': 248, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.816.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '816.d1.a1', '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': 816, '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': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
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id: 17907944
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 3, 'counter': 249, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.816.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '816.e1.a1', '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': 816, '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': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 17907946
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 1, 'counter': 250, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.816.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '816.f1.a1', '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': 816, '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': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 17907947
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 1, 'counter': 251, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.816.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '816.f1.b1', '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': 816, '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': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 17907948
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 3, 'counter': 252, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.816.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '816.g1.a1', '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': 816, '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': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 17907949
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 3, 'counter': 253, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.816.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '816.g1.b1', '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': 816, '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': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 17907950
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 3, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.816.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '816.h1.a1', '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': 816, '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': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
-
id: 17907951
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 408, 'characteristic': False, 'core_order': 3, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.816.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '816.h1.b1', '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': 816, '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': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
-
id: 17907952
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 4, 'counter': 256, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '4896.q.1224.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1224.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1224.97', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 97, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1224, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{204}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 17907953
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': True, 'central_factor': False, 'centralizer_order': 4896, 'characteristic': True, 'core_order': 4, 'counter': 257, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.1224.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1224.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1224.160', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 160, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1224, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6\\times C_{102}', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 17907954
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 4, 'counter': 258, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.1224.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1224.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1224.97', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 97, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1224, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{204}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 17907955
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 2, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.1224.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1224.d1.a1', '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': 1224, '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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 17907957
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 2, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '4896.q.1224.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1224.d1.b1', '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': 1224, '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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 17907958
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 2, 'counter': 261, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.1224.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1224.e1.a1', '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': 1224, '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': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 17907959
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 2, 'counter': 262, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.1224.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1224.e1.b1', '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': 1224, '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': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 17907960
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': True, 'central_factor': False, 'centralizer_order': 4896, 'characteristic': True, 'core_order': 3, 'counter': 263, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '4896.q.1632.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '1632.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1632.776', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 776, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1632, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}.C_{68}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
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id: 17907961
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': True, 'core_order': 3, 'counter': 264, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.1632.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '1632.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1632.932', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 932, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1632, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}:C_{102}', 'simple': True, 'solvable': True, 'special_labels': ['L2', 'C7'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
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id: 17907962
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 1, 'counter': 265, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.1632.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1632.c1.a1', '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': 1632, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
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id: 17907963
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': True, 'central_factor': False, 'centralizer_order': 4896, 'characteristic': True, 'core_order': 2, 'counter': 266, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '4896.q.2448.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '2448.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 99032208109211976, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 2448, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{204}\\times D_6', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 17907964
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 2448, 'characteristic': False, 'core_order': 1, 'counter': 267, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.2448.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2448.b1.a1', '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': 2448, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 17907965
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 1, 'counter': 268, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.2448.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2448.c1.a1', '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': 2448, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 17907966
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': False, 'central_factor': False, 'centralizer_order': 816, 'characteristic': False, 'core_order': 1, 'counter': 269, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '4896.q.2448.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2448.c1.b1', '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': 2448, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 17907968
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '4896.q', 'ambient_counter': 17, 'ambient_order': 4896, 'ambient_tex': 'D_{12}.C_{204}', 'central': True, 'central_factor': False, 'centralizer_order': 4896, 'characteristic': True, 'core_order': 1, 'counter': 270, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '4896.q.4896.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4896.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '4896.q', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5461394712593768314, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 4896, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}.C_{204}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'D2', 'C8'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, '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: 17907808
{'ambient': '4896.q', 'aut_centralizer_order': 16, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.16', 'aut_weyl_index': 192, 'centralizer': '6.j1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.b1', '24.j1.b1'], 'contains': ['96.a1.a1', '144.c1.b1', '816.g1.b1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [3626150290, 167690, 10262689500], 'label': '4896.q.48.g1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.j1.b1', 'old_label': '48.g1.b1', 'projective_image': '96.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.g1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 17907809
{'ambient': '4896.q', 'aut_centralizer_order': 16, 'aut_label': '48.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '96.4', 'aut_weyl_index': 64, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '24.c1.a1'], 'contains': ['96.b1.a1', '144.c1.a1', '816.h1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24288364848, 12246809371, 58394157], 'label': '4896.q.48.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '48.h1.a1', 'projective_image': '288.672', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
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id: 17907810
{'ambient': '4896.q', 'aut_centralizer_order': 16, 'aut_label': '48.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '96.4', 'aut_weyl_index': 64, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.b1', '24.c1.b1'], 'contains': ['96.b1.a1', '144.c1.b1', '816.h1.b1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24288364848, 12246809371, 167690], 'label': '4896.q.48.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '48.h1.b1', 'projective_image': '288.672', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h1.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
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id: 17907778
{'ambient': '4896.q', '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': '12.f1.a1', 'complements': ['4896.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.d1.b1', '2.e1.a1', '2.e1.b1', '3.a1.a1', '3.b1.a1', '17.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24356782725, 24288364848, 17720243870, 24356782778, 2189373760, 1436776530, 24288364796, 167690], 'label': '4896.q.1.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.d1.b1', '2.e1.a1', '2.e1.b1', '3.a1.a1', '17.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '12.4', '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': '12.4'}
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id: 17907779
{'ambient': '4896.q', 'aut_centralizer_order': 2, 'aut_label': '3.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.b1.a1', '6.g1.a1', '6.h1.a1', '6.j1.a1', '6.j1.b1', '6.k1.a1', '6.k1.b1', '9.a1.a1', '51.b1.a1'], 'core': '6.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 17720243870, 2189373760, 1436776530, 3694568521, 3626150290, 167690], 'label': '4896.q.3.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '3.b1.a1', 'projective_image': '12.4', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 17907780
{'ambient': '4896.q', 'aut_centralizer_order': 32, 'aut_label': '34.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '192.1514', 'aut_weyl_index': 32, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '17.a1.a1'], 'contains': ['68.a1.a1', '68.a1.b1', '68.b1.a1', '68.c1.a1', '68.c1.b1', '68.d1.a1', '68.h1.a1', '102.a1.a1', '102.g1.a1'], 'core': '34.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24356782725, 24288364848, 24356782778, 24288364796, 167690, 13136242560], 'label': '4896.q.34.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '34.a1.a1', 'normal_contained_in': ['2.a1.a1', '17.a1.a1'], 'normal_contains': ['68.a1.a1', '68.a1.b1', '68.b1.a1', '68.c1.a1', '68.c1.b1', '68.d1.a1', '68.h1.a1', '102.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '34.a1.a1', 'projective_image': '408.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '34.a1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
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id: 17907781
{'ambient': '4896.q', 'aut_centralizer_order': 192, 'aut_label': '34.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.51', 'aut_weyl_index': 192, 'centralizer': '2.b1.a1', 'complements': ['144.c1.b1', '144.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '17.a1.a1'], 'contains': ['68.b1.a1', '68.e1.a1', '68.f1.a1', '102.b1.a1', '102.c1.a1', '102.i1.a1'], 'core': '34.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24356782725, 24288364848, 8004897810, 24356782778, 24288364796, 13136242560], 'label': '4896.q.34.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '34.b1.a1', 'normal_contained_in': ['2.b1.a1', '17.a1.a1'], 'normal_contains': ['68.b1.a1', '68.e1.a1', '68.f1.a1', '102.b1.a1', '102.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '34.b1.a1', 'projective_image': '204.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '17.1', 'quotient_action_kernel_order': 17, 'quotient_fusion': None, 'short_label': '34.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 17907782
{'ambient': '4896.q', 'aut_centralizer_order': 32, 'aut_label': '34.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '192.1514', 'aut_weyl_index': 32, 'centralizer': '12.f1.a1', 'complements': ['144.c1.b1', '144.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '17.a1.a1'], 'contains': ['68.b1.a1', '68.g1.a1', '68.g1.b1', '102.d1.a1', '102.h1.a1'], 'core': '34.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24356782725, 24288364848, 19619730, 24356782778, 24288364796, 13136242560], 'label': '4896.q.34.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '34.c1.a1', 'normal_contained_in': ['2.c1.a1', '17.a1.a1'], 'normal_contains': ['68.b1.a1', '68.g1.b1', '68.g1.a1', '102.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '34.c1.a1', 'projective_image': '408.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '17.1', 'quotient_action_kernel_order': 17, 'quotient_fusion': None, 'short_label': '34.c1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
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id: 17907783
{'ambient': '4896.q', 'aut_centralizer_order': 32, 'aut_label': '34.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '96.230', 'aut_weyl_index': 64, 'centralizer': '12.f1.a1', 'complements': ['144.b1.a1', '144.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '17.a1.a1'], 'contains': ['68.c1.a1', '68.e1.a1', '68.g1.b1', '102.e1.a1', '102.j1.a1'], 'core': '34.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 8004897810, 24356782778, 59552445, 24288364796, 13136242560], 'label': '4896.q.34.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '34.d1.a1', 'normal_contained_in': ['2.d1.a1', '17.a1.a1'], 'normal_contains': ['68.c1.a1', '68.e1.a1', '68.g1.b1', '102.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '34.d1.a1', 'projective_image': '204.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '17.1', 'quotient_action_kernel_order': 17, 'quotient_fusion': None, 'short_label': '34.d1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
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id: 17907784
{'ambient': '4896.q', 'aut_centralizer_order': 32, 'aut_label': '34.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '96.230', 'aut_weyl_index': 64, 'centralizer': '12.f1.a1', 'complements': ['144.b1.a1', '144.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.d1.b1', '17.a1.a1'], 'contains': ['68.c1.b1', '68.e1.a1', '68.g1.a1', '102.e1.b1', '102.j1.b1'], 'core': '34.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 8004897810, 24356782778, 24288364796, 167690, 13136242560], 'label': '4896.q.34.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '34.d1.b1', 'normal_contained_in': ['2.d1.b1', '17.a1.a1'], 'normal_contains': ['68.c1.b1', '68.e1.a1', '68.g1.a1', '102.e1.b1'], 'normalizer': '1.a1.a1', 'old_label': '34.d1.b1', 'projective_image': '204.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '17.1', 'quotient_action_kernel_order': 17, 'quotient_fusion': None, 'short_label': '34.d1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907785
{'ambient': '4896.q', 'aut_centralizer_order': 32, 'aut_label': '34.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '96.230', 'aut_weyl_index': 64, 'centralizer': '12.f1.a1', 'complements': ['144.b1.a1', '144.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '17.a1.a1'], 'contains': ['68.c1.a1', '68.f1.a1', '68.g1.a1', '102.f1.a1', '102.k1.a1'], 'core': '34.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 19619730, 24356782778, 59552445, 24288364796, 13136242560], 'label': '4896.q.34.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '34.e1.a1', 'normal_contained_in': ['2.e1.a1', '17.a1.a1'], 'normal_contains': ['68.c1.a1', '68.f1.a1', '68.g1.a1', '102.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '34.e1.a1', 'projective_image': '408.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '17.1', 'quotient_action_kernel_order': 17, 'quotient_fusion': None, 'short_label': '34.e1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907786
{'ambient': '4896.q', 'aut_centralizer_order': 32, 'aut_label': '34.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '96.230', 'aut_weyl_index': 64, 'centralizer': '12.f1.a1', 'complements': ['144.b1.a1', '144.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.e1.b1', '17.a1.a1'], 'contains': ['68.c1.b1', '68.f1.a1', '68.g1.b1', '102.f1.b1', '102.k1.b1'], 'core': '34.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [23467349764, 24288364848, 24356782778, 24288364796, 167690, 13136242560], 'label': '4896.q.34.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '34.e1.b1', 'normal_contained_in': ['2.e1.b1', '17.a1.a1'], 'normal_contains': ['68.c1.b1', '68.f1.a1', '68.g1.b1', '102.f1.b1'], 'normalizer': '1.a1.a1', 'old_label': '34.e1.b1', 'projective_image': '408.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '17.1', 'quotient_action_kernel_order': 17, 'quotient_fusion': None, 'short_label': '34.e1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907787
{'ambient': '4896.q', 'aut_centralizer_order': 96, 'aut_label': '36.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '12.c1.a1', '12.m1.a1', '18.a1.a1', '18.b1.a1', '18.c1.a1'], 'contains': ['72.a1.a1', '72.b1.a1', '72.c1.a1', '612.a1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [21688483810, 27914515440, 17720243870, 27914515033], 'label': '4896.q.36.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '36.a1.a1', 'normal_contained_in': ['12.b1.a1', '12.c1.a1', '18.a1.a1'], 'normal_contains': ['72.a1.a1', '72.b1.a1', '72.c1.a1', '612.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '36.a1.a1', 'projective_image': '72.48', 'quotient_action_image': '2.1', 'quotient_action_kernel': '18.5', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '36.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907788
{'ambient': '4896.q', 'aut_centralizer_order': 96, 'aut_label': '36.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.f1.a1', '12.h1.a1', '12.r1.a1', '18.a1.a1', '18.d1.a1', '18.d1.b1'], 'contains': ['72.b1.a1', '612.b1.a1'], 'core': '36.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [21688483810, 20183289350, 27914515440, 17720243870], 'label': '4896.q.36.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '36.b1.a1', 'normal_contained_in': ['12.f1.a1', '12.h1.a1', '18.a1.a1'], 'normal_contains': ['72.b1.a1', '612.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '36.b1.a1', 'projective_image': '36.12', 'quotient_action_image': '1.1', 'quotient_action_kernel': '36.12', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '36.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907789
{'ambient': '4896.q', 'aut_centralizer_order': 96, 'aut_label': '36.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.g1.a1', '12.i1.a1', '12.s1.a1', '18.a1.a1', '18.e1.a1', '18.e1.b1'], 'contains': ['72.b1.a1', '612.c1.a1'], 'core': '36.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [21688483810, 27914515440, 17720243870, 7799644201], 'label': '4896.q.36.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '36.c1.a1', 'normal_contained_in': ['12.g1.a1', '12.i1.a1', '18.a1.a1'], 'normal_contains': ['72.b1.a1', '612.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '36.c1.a1', 'projective_image': '72.48', 'quotient_action_image': '2.1', 'quotient_action_kernel': '18.5', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '36.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907790
{'ambient': '4896.q', 'aut_centralizer_order': 4, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '768.1076025', 'aut_weyl_index': 8, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.e1.a1', '12.a1.a1', '12.l1.a1', '68.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24356782725, 24288364848, 17720243870, 24356782778, 5366080, 24288364796], 'label': '4896.q.4.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '8.b1.a1', '8.e1.a1', '12.a1.a1', '68.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '48.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907791
{'ambient': '4896.q', 'aut_centralizer_order': 16, 'aut_label': '36.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '12.l1.a1', '18.b1.a1'], 'contains': ['72.a1.a1', '72.d1.a1', '72.e1.a1', '612.d1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [5377532, 27914515440, 17720243870, 27914515033], 'label': '4896.q.36.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.d1.a1', 'projective_image': '144.159', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907792
{'ambient': '4896.q', 'aut_centralizer_order': 16, 'aut_label': '36.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1.b1', '12.l1.b1', '18.b1.a1'], 'contains': ['72.a1.a1', '72.d1.b1', '72.e1.b1', '612.d1.b1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 17720243870, 27914515033, 167690], 'label': '4896.q.36.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.d1.b1', 'projective_image': '144.159', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.d1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907793
{'ambient': '4896.q', 'aut_centralizer_order': 16, 'aut_label': '36.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.a1', '12.n1.a1', '18.b1.a1', '18.d1.a1', '18.e1.a1'], 'contains': ['72.b1.a1', '72.d1.a1', '72.e1.b1', '612.e1.a1'], 'core': '72.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [21688483810, 27914515440, 17720243870, 59697231], 'label': '4896.q.36.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.e1.a1', 'projective_image': '72.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907794
{'ambient': '4896.q', 'aut_centralizer_order': 16, 'aut_label': '36.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '6.j1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.b1', '12.n1.b1', '18.b1.a1', '18.d1.b1', '18.e1.b1'], 'contains': ['72.b1.a1', '72.d1.b1', '72.e1.a1', '612.e1.b1'], 'core': '72.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [21688483810, 27914515440, 17720243870, 167690], 'label': '4896.q.36.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.e1.b1', 'projective_image': '72.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.e1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907795
{'ambient': '4896.q', 'aut_centralizer_order': 16, 'aut_label': '36.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.899', 'aut_weyl_index': 48, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1.a1', '12.o1.a1', '18.b1.a1'], 'contains': ['72.c1.a1', '72.d1.a1', '72.d1.b1', '612.f1.a1'], 'core': '72.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 6294449785, 17720243870, 167690], 'label': '4896.q.36.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.f1.a1', 'projective_image': '144.159', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907796
{'ambient': '4896.q', 'aut_centralizer_order': 16, 'aut_label': '36.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '6.j1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.j1.a1', '12.p1.a1', '18.c1.a1', '18.d1.b1', '18.e1.a1'], 'contains': ['72.b1.a1', '612.g1.a1'], 'core': '72.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [21688483810, 27914515440, 17720243870, 3550938], 'label': '4896.q.36.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.g1.a1', 'projective_image': '72.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907797
{'ambient': '4896.q', 'aut_centralizer_order': 16, 'aut_label': '36.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.j1.b1', '12.p1.b1', '18.c1.a1', '18.d1.a1', '18.e1.b1'], 'contains': ['72.b1.a1', '612.g1.b1'], 'core': '72.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [21688483810, 27914515440, 17720243870, 19190689], 'label': '4896.q.36.g1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.j1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.g1.b1', 'projective_image': '72.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.g1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907798
{'ambient': '4896.q', 'aut_centralizer_order': 16, 'aut_label': '36.h1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.899', 'aut_weyl_index': 48, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.k1.a1', '12.q1.a1', '18.b1.a1'], 'contains': ['72.c1.a1', '72.e1.a1', '72.e1.b1', '612.h1.a1'], 'core': '72.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [5377532, 27914515440, 6294449785, 17720243870], 'label': '4896.q.36.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '36.h1.a1', 'projective_image': '144.159', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.h1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907799
{'ambient': '4896.q', 'aut_centralizer_order': 192, 'aut_label': '48.a1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '32.16', 'aut_weyl_index': 192, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1', '24.d1.a1', '24.e1.a1', '24.j1.a1', '24.j1.b1', '24.k1.a1', '24.k1.b1'], 'contains': ['96.a1.a1', '144.a1.a1', '816.a1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27914515440, 17720243870, 3626150290], 'label': '4896.q.48.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.a1.a1', '24.d1.a1', '24.e1.a1'], 'normal_contains': ['96.a1.a1', '144.a1.a1', '816.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': '48.35', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.35', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907800
{'ambient': '4896.q', 'aut_centralizer_order': 192, 'aut_label': '48.b1', 'aut_quo_index': 48, 'aut_stab_index': 1, 'aut_weyl_group': '32.16', 'aut_weyl_index': 192, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.b1.a1', '24.c1.a1', '24.c1.b1', '24.f1.a1', '24.g1.a1', '24.h1.a1', '24.h1.b1'], 'contains': ['96.b1.a1', '144.a1.a1', '816.b1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778], 'label': '4896.q.48.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1.a1', 'normal_contained_in': ['16.a1.a1', '24.b1.a1', '24.c1.a1', '24.c1.b1', '24.f1.a1', '24.g1.a1', '24.h1.b1', '24.h1.a1'], 'normal_contains': ['96.b1.a1', '144.a1.a1', '816.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.b1.a1', 'projective_image': '144.159', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907801
{'ambient': '4896.q', 'aut_centralizer_order': 4, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '768.1076025', 'aut_weyl_index': 8, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.b1.b1', '8.e1.b1', '12.a1.b1', '12.l1.b1', '68.a1.b1'], 'core': '4.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24356782725, 24288364848, 17720243870, 24356782778, 24288364796, 167690], 'label': '4896.q.4.a1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.b1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '8.b1.b1', '8.e1.b1', '12.a1.b1', '68.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.b1', 'projective_image': '48.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907802
{'ambient': '4896.q', 'aut_centralizer_order': 96, 'aut_label': '48.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '32.16', 'aut_weyl_index': 192, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.i1.a1', '24.l1.a1', '24.m1.a1'], 'contains': ['96.c1.a1', '144.a1.a1', '816.c1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27914515440, 17720243870, 24288364796], 'label': '4896.q.48.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.c1.a1', 'projective_image': '144.159', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907803
{'ambient': '4896.q', 'aut_centralizer_order': 96, 'aut_label': '48.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '32.16', 'aut_weyl_index': 192, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '24.a1.a1'], 'contains': ['96.a1.a1', '144.b1.a1', '816.d1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3694568521, 3626150290, 10262689500], 'label': '4896.q.48.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.d1.a1', 'projective_image': '96.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907804
{'ambient': '4896.q', 'aut_centralizer_order': 96, 'aut_label': '48.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '32.16', 'aut_weyl_index': 192, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '24.b1.a1'], 'contains': ['96.b1.a1', '144.b1.a1', '816.e1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24288364848, 12246809371, 27914515033], 'label': '4896.q.48.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.e1.a1', 'projective_image': '288.672', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.e1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907805
{'ambient': '4896.q', 'aut_centralizer_order': 48, 'aut_label': '48.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '32.16', 'aut_weyl_index': 192, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '24.i1.a1'], 'contains': ['96.c1.a1', '144.b1.a1', '816.f1.a1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24356782725, 24288364796, 10262689500], 'label': '4896.q.48.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.f1.a1', 'projective_image': '288.672', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907806
{'ambient': '4896.q', 'aut_centralizer_order': 48, 'aut_label': '48.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '32.16', 'aut_weyl_index': 192, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '24.i1.a1'], 'contains': ['96.c1.a1', '144.b1.a1', '816.f1.b1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [68418284, 27914515085, 10262689500], 'label': '4896.q.48.f1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.f1.b1', 'projective_image': '288.672', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.f1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907807
{'ambient': '4896.q', 'aut_centralizer_order': 16, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.16', 'aut_weyl_index': 192, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '24.j1.a1'], 'contains': ['96.a1.a1', '144.c1.a1', '816.g1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [58394157, 3626150290, 10262689500], 'label': '4896.q.48.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.j1.a1', 'old_label': '48.g1.a1', 'projective_image': '96.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.g1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907811
{'ambient': '4896.q', 'aut_centralizer_order': 32, 'aut_label': '51.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '192.1514', 'aut_weyl_index': 32, 'centralizer': '12.f1.a1', 'complements': ['96.a1.a1', '96.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '17.a1.a1'], 'contains': ['102.a1.a1', '102.c1.a1', '102.d1.a1', '102.e1.a1', '102.e1.b1', '102.f1.a1', '102.f1.b1', '153.a1.a1'], 'core': '51.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24630454632, 24356782778, 15462452071, 27914515033, 167690], 'label': '4896.q.51.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '51.a1.a1', 'normal_contained_in': ['3.a1.a1', '17.a1.a1'], 'normal_contains': ['102.a1.a1', '102.c1.a1', '102.d1.a1', '102.e1.a1', '102.e1.b1', '102.f1.a1', '102.f1.b1'], 'normalizer': '1.a1.a1', 'old_label': '51.a1.a1', 'projective_image': '612.32', 'quotient_action_image': '1.1', 'quotient_action_kernel': '51.1', 'quotient_action_kernel_order': 51, 'quotient_fusion': None, 'short_label': '51.a1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907812
{'ambient': '4896.q', 'aut_centralizer_order': 24, 'aut_label': '4.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '256.55608', 'aut_weyl_index': 24, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '8.c1.a1', '8.d1.a1', '12.b1.a1', '12.c1.a1', '12.m1.a1', '68.b1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24356782725, 24288364848, 17720243870, 24356782778, 2189373760, 24288364796], 'label': '4896.q.4.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.a1.a1', '8.c1.a1', '8.d1.a1', '12.b1.a1', '12.c1.a1', '68.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '24.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907813
{'ambient': '4896.q', 'aut_centralizer_order': 32, 'aut_label': '51.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.261', 'aut_weyl_index': 96, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.b1.a1', '17.a1.a1'], 'contains': ['102.b1.a1', '102.g1.a1', '102.h1.a1', '102.j1.a1', '102.j1.b1', '102.k1.a1', '102.k1.b1', '153.a1.a1'], 'core': '102.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [8004897810, 27914515440, 3694568521, 3626150290, 167690, 13136242560], 'label': '4896.q.51.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '17.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '51.b1.a1', 'projective_image': '204.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '51.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907814
{'ambient': '4896.q', 'aut_centralizer_order': 64, 'aut_label': '68.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '48.51', 'aut_weyl_index': 128, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '34.a1.a1'], 'contains': ['136.a1.a1', '136.b1.a1', '136.e1.a1', '204.a1.a1', '204.l1.a1'], 'core': '68.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24356782725, 24288364848, 24356782778, 24288364796, 32196480], 'label': '4896.q.68.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '68.a1.a1', 'normal_contained_in': ['4.a1.a1', '34.a1.a1'], 'normal_contains': ['136.a1.a1', '136.b1.a1', '136.e1.a1', '204.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '68.a1.a1', 'projective_image': '816.162', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '68.a1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907815
{'ambient': '4896.q', 'aut_centralizer_order': 64, 'aut_label': '68.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '48.51', 'aut_weyl_index': 128, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1', '34.a1.a1'], 'contains': ['136.a1.a1', '136.b1.b1', '136.e1.b1', '204.a1.b1', '204.l1.b1'], 'core': '68.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24356782725, 24288364848, 24356782778, 24288364796, 167690], 'label': '4896.q.68.a1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '68.a1.b1', 'normal_contained_in': ['4.a1.b1', '34.a1.a1'], 'normal_contains': ['136.a1.a1', '136.b1.b1', '136.e1.b1', '204.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '68.a1.b1', 'projective_image': '816.162', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '68.a1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907816
{'ambient': '4896.q', 'aut_centralizer_order': 384, 'aut_label': '68.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 384, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '34.a1.a1', '34.b1.a1', '34.c1.a1'], 'contains': ['136.a1.a1', '136.c1.a1', '136.d1.a1', '204.b1.a1', '204.c1.a1', '204.m1.a1'], 'core': '68.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24356782725, 24288364848, 24356782778, 24288364796, 13136242560], 'label': '4896.q.68.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '68.b1.a1', 'normal_contained_in': ['4.b1.a1', '34.a1.a1', '34.b1.a1', '34.c1.a1'], 'normal_contains': ['136.a1.a1', '136.c1.a1', '136.d1.a1', '204.b1.a1', '204.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '68.b1.a1', 'projective_image': '408.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '34.2', 'quotient_action_kernel_order': 34, 'quotient_fusion': None, 'short_label': '68.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907817
{'ambient': '4896.q', 'aut_centralizer_order': 64, 'aut_label': '68.c1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '48.51', 'aut_weyl_index': 128, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '34.a1.a1', '34.d1.a1', '34.e1.a1'], 'contains': ['136.b1.a1', '136.c1.a1', '136.e1.b1', '204.d1.a1', '204.n1.a1'], 'core': '68.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24356782778, 59552445, 24288364796, 13136242560], 'label': '4896.q.68.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '68.c1.a1', 'normal_contained_in': ['4.c1.a1', '34.a1.a1', '34.d1.a1', '34.e1.a1'], 'normal_contains': ['136.b1.a1', '136.c1.a1', '136.e1.b1', '204.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '68.c1.a1', 'projective_image': '408.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '68.c1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907818
{'ambient': '4896.q', 'aut_centralizer_order': 64, 'aut_label': '68.c1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '48.51', 'aut_weyl_index': 128, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.b1', '34.a1.a1', '34.d1.b1', '34.e1.b1'], 'contains': ['136.b1.b1', '136.c1.a1', '136.e1.a1', '204.d1.b1', '204.n1.b1'], 'core': '68.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24356782778, 24288364796, 167690, 13136242560], 'label': '4896.q.68.c1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '68.c1.b1', 'normal_contained_in': ['4.c1.b1', '34.a1.a1', '34.d1.b1', '34.e1.b1'], 'normal_contains': ['136.b1.b1', '136.c1.a1', '136.e1.a1', '204.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '68.c1.b1', 'projective_image': '408.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '68.c1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907819
{'ambient': '4896.q', 'aut_centralizer_order': 64, 'aut_label': '68.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.209', 'aut_weyl_index': 64, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '34.a1.a1'], 'contains': ['136.b1.a1', '136.b1.b1', '136.d1.a1', '204.e1.a1', '204.o1.a1'], 'core': '68.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24356782778, 3352478713, 24288364796, 167690], 'label': '4896.q.68.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '68.d1.a1', 'normal_contained_in': ['4.d1.a1', '34.a1.a1'], 'normal_contains': ['136.b1.a1', '136.b1.b1', '136.d1.a1', '204.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '68.d1.a1', 'projective_image': '816.162', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '68.d1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907820
{'ambient': '4896.q', 'aut_centralizer_order': 384, 'aut_label': '68.e1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 384, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '34.b1.a1', '34.d1.a1', '34.d1.b1'], 'contains': ['136.c1.a1', '204.f1.a1', '204.h1.a1', '204.r1.a1'], 'core': '68.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 8004897810, 24356782778, 24288364796, 13136242560], 'label': '4896.q.68.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '68.e1.a1', 'normal_contained_in': ['4.e1.a1', '34.b1.a1', '34.d1.a1', '34.d1.b1'], 'normal_contains': ['136.c1.a1', '204.f1.a1', '204.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '68.e1.a1', 'projective_image': '204.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '34.2', 'quotient_action_kernel_order': 34, 'quotient_fusion': None, 'short_label': '68.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907821
{'ambient': '4896.q', 'aut_centralizer_order': 384, 'aut_label': '68.f1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 384, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '34.b1.a1', '34.e1.a1', '34.e1.b1'], 'contains': ['136.c1.a1', '204.g1.a1', '204.i1.a1', '204.s1.a1'], 'core': '68.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [23467349764, 24288364848, 24356782778, 24288364796, 13136242560], 'label': '4896.q.68.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '68.f1.a1', 'normal_contained_in': ['4.f1.a1', '34.b1.a1', '34.e1.a1', '34.e1.b1'], 'normal_contains': ['136.c1.a1', '204.g1.a1', '204.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '68.f1.a1', 'projective_image': '408.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '34.2', 'quotient_action_kernel_order': 34, 'quotient_fusion': None, 'short_label': '68.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907822
{'ambient': '4896.q', 'aut_centralizer_order': 64, 'aut_label': '68.g1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '48.51', 'aut_weyl_index': 128, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '34.c1.a1', '34.d1.b1', '34.e1.a1'], 'contains': ['136.c1.a1', '204.j1.a1', '204.p1.a1'], 'core': '68.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 19619730, 24356782778, 24288364796, 13136242560], 'label': '4896.q.68.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '68.g1.a1', 'normal_contained_in': ['4.g1.a1', '34.c1.a1', '34.d1.b1', '34.e1.a1'], 'normal_contains': ['136.c1.a1', '204.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '68.g1.a1', 'projective_image': '408.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '68.g1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907823
{'ambient': '4896.q', 'aut_centralizer_order': 4, 'aut_label': '4.c1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '768.1076025', 'aut_weyl_index': 8, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.d1.a1', '2.e1.a1'], 'contains': ['8.b1.a1', '8.c1.a1', '8.e1.b1', '12.d1.a1', '12.n1.a1', '68.c1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 2189373760, 59552445, 24288364796], 'label': '4896.q.4.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.a1.a1', '2.d1.a1', '2.e1.a1'], 'normal_contains': ['8.b1.a1', '8.c1.a1', '8.e1.b1', '12.d1.a1', '68.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '24.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907824
{'ambient': '4896.q', 'aut_centralizer_order': 64, 'aut_label': '68.g1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '48.51', 'aut_weyl_index': 128, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.b1', '34.c1.a1', '34.d1.a1', '34.e1.b1'], 'contains': ['136.c1.a1', '204.j1.b1', '204.p1.b1'], 'core': '68.g1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24356782778, 24288364796, 57425236, 13136242560], 'label': '4896.q.68.g1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '68.g1.b1', 'normal_contained_in': ['4.g1.b1', '34.c1.a1', '34.d1.a1', '34.e1.b1'], 'normal_contains': ['136.c1.a1', '204.j1.b1'], 'normalizer': '1.a1.a1', 'old_label': '68.g1.b1', 'projective_image': '408.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '68.g1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907825
{'ambient': '4896.q', 'aut_centralizer_order': 64, 'aut_label': '68.h1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.209', 'aut_weyl_index': 64, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '34.a1.a1'], 'contains': ['136.d1.a1', '136.e1.a1', '136.e1.b1', '204.k1.a1', '204.q1.a1'], 'core': '68.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24356782778, 3352478713, 24288364796, 32196480], 'label': '4896.q.68.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '68.h1.a1', 'normal_contained_in': ['4.h1.a1', '34.a1.a1'], 'normal_contains': ['136.d1.a1', '136.e1.b1', '136.e1.a1', '204.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '68.h1.a1', 'projective_image': '816.162', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '68.h1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907826
{'ambient': '4896.q', 'aut_centralizer_order': 192, 'aut_label': '72.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.16', 'aut_weyl_index': 192, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '24.b1.a1', '24.i1.a1', '36.a1.a1', '36.d1.a1', '36.d1.b1'], 'contains': ['144.a1.a1', '144.b1.a1', '1224.a1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27914515440, 17720243870, 27914515033], 'label': '4896.q.72.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '72.a1.a1', 'normal_contained_in': ['24.a1.a1', '24.b1.a1', '36.a1.a1'], 'normal_contains': ['144.a1.a1', '1224.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '72.a1.a1', 'projective_image': '144.159', 'quotient_action_image': '2.1', 'quotient_action_kernel': '36.8', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '72.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907827
{'ambient': '4896.q', 'aut_centralizer_order': 192, 'aut_label': '72.b1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '32.16', 'aut_weyl_index': 192, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.d1.a1', '24.f1.a1', '24.l1.a1', '36.a1.a1', '36.b1.a1', '36.c1.a1', '36.e1.a1', '36.e1.b1', '36.g1.a1', '36.g1.b1'], 'contains': ['144.a1.a1', '1224.b1.a1'], 'core': '72.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [21688483810, 27914515440, 17720243870], 'label': '4896.q.72.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '72.b1.a1', 'normal_contained_in': ['24.d1.a1', '24.f1.a1', '36.a1.a1', '36.b1.a1', '36.c1.a1'], 'normal_contains': ['144.a1.a1', '1224.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '72.b1.a1', 'projective_image': '72.48', 'quotient_action_image': '1.1', 'quotient_action_kernel': '72.48', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '72.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907828
{'ambient': '4896.q', 'aut_centralizer_order': 192, 'aut_label': '72.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '32.16', 'aut_weyl_index': 192, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.e1.a1', '24.g1.a1', '24.m1.a1', '36.a1.a1', '36.f1.a1', '36.h1.a1'], 'contains': ['144.a1.a1', '1224.c1.a1'], 'core': '72.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27914515440, 6294449785, 17720243870], 'label': '4896.q.72.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '72.c1.a1', 'normal_contained_in': ['24.e1.a1', '24.g1.a1', '36.a1.a1'], 'normal_contains': ['144.a1.a1', '1224.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '72.c1.a1', 'projective_image': '144.159', 'quotient_action_image': '2.1', 'quotient_action_kernel': '36.8', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '72.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907829
{'ambient': '4896.q', 'aut_centralizer_order': 32, 'aut_label': '72.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.16', 'aut_weyl_index': 192, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.c1.a1', '24.j1.a1', '36.d1.a1', '36.e1.a1', '36.f1.a1'], 'contains': ['144.a1.a1', '144.c1.a1', '1224.d1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 17720243870, 58394157], 'label': '4896.q.72.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '72.d1.a1', 'projective_image': '144.159', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907830
{'ambient': '4896.q', 'aut_centralizer_order': 32, 'aut_label': '72.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.16', 'aut_weyl_index': 192, 'centralizer': '6.j1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.c1.b1', '24.j1.b1', '36.d1.b1', '36.e1.b1', '36.f1.a1'], 'contains': ['144.a1.a1', '144.c1.b1', '1224.d1.b1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 17720243870, 167690], 'label': '4896.q.72.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '72.d1.b1', 'projective_image': '144.159', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907831
{'ambient': '4896.q', 'aut_centralizer_order': 32, 'aut_label': '72.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.16', 'aut_weyl_index': 192, 'centralizer': '6.j1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.h1.a1', '24.k1.a1', '36.d1.a1', '36.e1.b1', '36.h1.a1'], 'contains': ['144.a1.a1', '1224.e1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [5377532, 27914515440, 17720243870], 'label': '4896.q.72.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '72.e1.a1', 'projective_image': '144.159', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907832
{'ambient': '4896.q', 'aut_centralizer_order': 32, 'aut_label': '72.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.16', 'aut_weyl_index': 192, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.h1.b1', '24.k1.b1', '36.d1.b1', '36.e1.a1', '36.h1.a1'], 'contains': ['144.a1.a1', '1224.e1.b1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 17720243870, 59697231], 'label': '4896.q.72.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '72.e1.b1', 'projective_image': '144.159', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.e1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907833
{'ambient': '4896.q', 'aut_centralizer_order': 192, 'aut_label': '96.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.16', 'aut_weyl_index': 192, 'centralizer': '1.a1.a1', 'complements': ['51.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.a1.a1', '48.d1.a1', '48.g1.a1', '48.g1.b1'], 'contains': ['288.a1.a1', '1632.a1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3626150290, 10262689500], 'label': '4896.q.96.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.a1.a1', 'normal_contained_in': ['32.a1.a1', '48.a1.a1'], 'normal_contains': ['288.a1.a1', '1632.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.a1.a1', 'projective_image': '96.108', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.108', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907834
{'ambient': '4896.q', 'aut_centralizer_order': 4, 'aut_label': '4.c1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '768.1076025', 'aut_weyl_index': 8, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.d1.b1', '2.e1.b1'], 'contains': ['8.b1.b1', '8.c1.a1', '8.e1.a1', '12.d1.b1', '12.n1.b1', '68.c1.b1'], 'core': '4.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 2189373760, 24288364796, 167690], 'label': '4896.q.4.c1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.b1', 'normal_contained_in': ['2.a1.a1', '2.d1.b1', '2.e1.b1'], 'normal_contains': ['8.b1.b1', '8.c1.a1', '8.e1.a1', '12.d1.b1', '68.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.b1', 'projective_image': '24.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907835
{'ambient': '4896.q', 'aut_centralizer_order': 192, 'aut_label': '96.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '32.16', 'aut_weyl_index': 192, 'centralizer': '2.b1.a1', 'complements': ['51.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.b1.a1', '48.e1.a1', '48.h1.a1', '48.h1.b1'], 'contains': ['288.a1.a1', '1632.b1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 12246809371], 'label': '4896.q.96.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1.a1', 'normal_contained_in': ['32.a1.a1', '48.b1.a1'], 'normal_contains': ['288.a1.a1', '1632.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.b1.a1', 'projective_image': '288.672', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.23', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907836
{'ambient': '4896.q', 'aut_centralizer_order': 96, 'aut_label': '96.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '32.16', 'aut_weyl_index': 192, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.c1.a1', '48.f1.a1', '48.f1.b1'], 'contains': ['288.a1.a1', '1632.c1.a1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24288364796, 10262689500], 'label': '4896.q.96.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.c1.a1', 'projective_image': '288.672', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907837
{'ambient': '4896.q', 'aut_centralizer_order': 64, 'aut_label': '102.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.209', 'aut_weyl_index': 64, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '34.a1.a1', '51.a1.a1'], 'contains': ['204.a1.a1', '204.a1.b1', '204.c1.a1', '204.d1.a1', '204.d1.b1', '204.e1.a1', '204.k1.a1', '306.b1.a1'], 'core': '102.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24630454632, 24356782778, 27914515033, 167690], 'label': '4896.q.102.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '102.a1.a1', 'normal_contained_in': ['6.a1.a1', '34.a1.a1', '51.a1.a1'], 'normal_contains': ['204.a1.a1', '204.a1.b1', '204.c1.a1', '204.d1.a1', '204.d1.b1', '204.e1.a1', '204.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '102.a1.a1', 'projective_image': '1224.160', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '102.a1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907838
{'ambient': '4896.q', 'aut_centralizer_order': 384, 'aut_label': '102.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 384, 'centralizer': '2.b1.a1', 'complements': ['48.h1.b1', '48.h1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '34.b1.a1', '51.b1.a1'], 'contains': ['204.b1.a1', '204.f1.a1', '204.g1.a1', '306.a1.a1'], 'core': '102.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8004897810, 27914515440, 3694568521, 3626150290, 13136242560], 'label': '4896.q.102.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '102.b1.a1', 'normal_contained_in': ['6.b1.a1', '34.b1.a1'], 'normal_contains': ['204.b1.a1', '204.f1.a1', '204.g1.a1', '306.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '102.b1.a1', 'projective_image': '204.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '51.1', 'quotient_action_kernel_order': 51, 'quotient_fusion': None, 'short_label': '102.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907839
{'ambient': '4896.q', 'aut_centralizer_order': 384, 'aut_label': '102.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 384, 'centralizer': '2.b1.a1', 'complements': ['48.g1.b1', '48.g1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '34.b1.a1', '51.a1.a1'], 'contains': ['204.c1.a1', '204.h1.a1', '204.i1.a1', '306.a1.a1'], 'core': '102.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24630454632, 24356782778, 15462452071, 27914515033], 'label': '4896.q.102.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '102.c1.a1', 'normal_contained_in': ['6.c1.a1', '34.b1.a1', '51.a1.a1'], 'normal_contains': ['204.c1.a1', '204.h1.a1', '204.i1.a1', '306.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '102.c1.a1', 'projective_image': '612.32', 'quotient_action_image': '2.1', 'quotient_action_kernel': '51.1', 'quotient_action_kernel_order': 51, 'quotient_fusion': None, 'short_label': '102.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907840
{'ambient': '4896.q', 'aut_centralizer_order': 64, 'aut_label': '102.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.209', 'aut_weyl_index': 64, 'centralizer': '12.f1.a1', 'complements': ['48.g1.b1', '48.g1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['6.d1.a1', '34.c1.a1', '51.a1.a1'], 'contains': ['204.c1.a1', '204.j1.a1', '204.j1.b1', '306.c1.a1'], 'core': '102.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24630454632, 24356782778, 19664311, 27914515033], 'label': '4896.q.102.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '102.d1.a1', 'normal_contained_in': ['6.d1.a1', '34.c1.a1', '51.a1.a1'], 'normal_contains': ['204.c1.a1', '204.j1.b1', '204.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '102.d1.a1', 'projective_image': '1224.160', 'quotient_action_image': '2.1', 'quotient_action_kernel': '51.1', 'quotient_action_kernel_order': 51, 'quotient_fusion': None, 'short_label': '102.d1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907841
{'ambient': '4896.q', 'aut_centralizer_order': 64, 'aut_label': '102.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '48.51', 'aut_weyl_index': 128, 'centralizer': '12.f1.a1', 'complements': ['48.d1.a1', '48.f1.a1', '48.f1.b1', '48.g1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['6.e1.a1', '34.d1.a1', '51.a1.a1'], 'contains': ['204.d1.a1', '204.h1.a1', '204.j1.b1', '306.d1.a1'], 'core': '102.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24630454632, 24356782778, 59697231, 15462452071], 'label': '4896.q.102.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '102.e1.a1', 'normal_contained_in': ['6.e1.a1', '34.d1.a1', '51.a1.a1'], 'normal_contains': ['204.d1.a1', '204.h1.a1', '204.j1.b1'], 'normalizer': '1.a1.a1', 'old_label': '102.e1.a1', 'projective_image': '612.32', 'quotient_action_image': '2.1', 'quotient_action_kernel': '51.1', 'quotient_action_kernel_order': 51, 'quotient_fusion': None, 'short_label': '102.e1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907842
{'ambient': '4896.q', 'aut_centralizer_order': 64, 'aut_label': '102.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '48.51', 'aut_weyl_index': 128, 'centralizer': '12.f1.a1', 'complements': ['48.d1.a1', '48.f1.a1', '48.f1.b1', '48.g1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['6.e1.b1', '34.d1.b1', '51.a1.a1'], 'contains': ['204.d1.b1', '204.h1.a1', '204.j1.a1', '306.d1.b1'], 'core': '102.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24630454632, 24356782778, 15462452071, 167690], 'label': '4896.q.102.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '102.e1.b1', 'normal_contained_in': ['6.e1.b1', '34.d1.b1', '51.a1.a1'], 'normal_contains': ['204.d1.b1', '204.h1.a1', '204.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '102.e1.b1', 'projective_image': '612.32', 'quotient_action_image': '2.1', 'quotient_action_kernel': '51.1', 'quotient_action_kernel_order': 51, 'quotient_fusion': None, 'short_label': '102.e1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907843
{'ambient': '4896.q', 'aut_centralizer_order': 64, 'aut_label': '102.f1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '48.51', 'aut_weyl_index': 128, 'centralizer': '12.f1.a1', 'complements': ['48.d1.a1', '48.f1.a1', '48.f1.b1', '48.g1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['6.f1.a1', '34.e1.a1', '51.a1.a1'], 'contains': ['204.d1.a1', '204.i1.a1', '204.j1.a1', '306.e1.a1'], 'core': '102.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24630454632, 24356782778, 59697231, 19664311], 'label': '4896.q.102.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '102.f1.a1', 'normal_contained_in': ['6.f1.a1', '34.e1.a1', '51.a1.a1'], 'normal_contains': ['204.d1.a1', '204.i1.a1', '204.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '102.f1.a1', 'projective_image': '1224.160', 'quotient_action_image': '2.1', 'quotient_action_kernel': '51.1', 'quotient_action_kernel_order': 51, 'quotient_fusion': None, 'short_label': '102.f1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907844
{'ambient': '4896.q', 'aut_centralizer_order': 64, 'aut_label': '102.f1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '48.51', 'aut_weyl_index': 128, 'centralizer': '12.f1.a1', 'complements': ['48.d1.a1', '48.f1.a1', '48.f1.b1', '48.g1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['6.f1.b1', '34.e1.b1', '51.a1.a1'], 'contains': ['204.d1.b1', '204.i1.a1', '204.j1.b1', '306.e1.b1'], 'core': '102.f1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 12520481124, 24630454632, 24356782778, 167690], 'label': '4896.q.102.f1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '102.f1.b1', 'normal_contained_in': ['6.f1.b1', '34.e1.b1', '51.a1.a1'], 'normal_contains': ['204.d1.b1', '204.i1.a1', '204.j1.b1'], 'normalizer': '1.a1.a1', 'old_label': '102.f1.b1', 'projective_image': '1224.160', 'quotient_action_image': '2.1', 'quotient_action_kernel': '51.1', 'quotient_action_kernel_order': 51, 'quotient_fusion': None, 'short_label': '102.f1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907845
{'ambient': '4896.q', 'aut_centralizer_order': 4, 'aut_label': '4.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1536.230682437', 'aut_weyl_index': 4, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.b1.b1', '8.d1.a1', '12.e1.a1', '12.o1.a1', '68.d1.a1'], 'core': '4.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 23877857253, 24288364796, 167690], 'label': '4896.q.4.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.b1.a1', '8.b1.b1', '8.d1.a1', '12.e1.a1', '68.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.a1', 'projective_image': '48.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907846
{'ambient': '4896.q', 'aut_centralizer_order': 64, 'aut_label': '102.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.46', 'aut_weyl_index': 192, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.g1.a1', '34.a1.a1', '51.b1.a1'], 'contains': ['204.b1.a1', '204.l1.a1', '204.l1.b1', '204.n1.a1', '204.n1.b1', '204.o1.a1', '204.q1.a1', '306.b1.a1'], 'core': '204.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 3694568521, 3626150290, 167690, 13136242560], 'label': '4896.q.102.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '34.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '102.g1.a1', 'projective_image': '408.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '102.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907847
{'ambient': '4896.q', 'aut_centralizer_order': 64, 'aut_label': '102.h1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.46', 'aut_weyl_index': 192, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.h1.a1', '34.c1.a1', '51.b1.a1'], 'contains': ['204.b1.a1', '204.p1.a1', '204.p1.b1', '306.c1.a1'], 'core': '204.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [19619730, 27914515440, 3694568521, 3626150290, 13136242560], 'label': '4896.q.102.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '34.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '102.h1.a1', 'projective_image': '408.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '102.h1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907848
{'ambient': '4896.q', 'aut_centralizer_order': 192, 'aut_label': '102.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '16.14', 'aut_weyl_index': 384, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.i1.a1', '34.b1.a1'], 'contains': ['204.m1.a1', '204.r1.a1', '204.s1.a1', '306.a1.a1'], 'core': '306.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24356782725, 27914515440, 15462452020, 24630454706, 24288364796], 'label': '4896.q.102.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '34.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '102.i1.a1', 'projective_image': '612.32', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '102.i1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907849
{'ambient': '4896.q', 'aut_centralizer_order': 64, 'aut_label': '102.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 384, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.j1.a1', '34.d1.a1', '51.b1.a1'], 'contains': ['204.f1.a1', '204.n1.a1', '204.p1.b1', '306.d1.a1'], 'core': '204.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [8004897810, 27914515440, 59552445, 3626150290, 13136242560], 'label': '4896.q.102.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '34.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '102.j1.a1', 'projective_image': '204.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '102.j1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907850
{'ambient': '4896.q', 'aut_centralizer_order': 64, 'aut_label': '102.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 384, 'centralizer': '6.j1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.j1.b1', '34.d1.b1', '51.b1.a1'], 'contains': ['204.f1.a1', '204.n1.b1', '204.p1.a1', '306.d1.b1'], 'core': '204.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [8004897810, 27914515440, 3626150290, 167690, 13136242560], 'label': '4896.q.102.j1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '34.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '102.j1.b1', 'projective_image': '204.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '102.j1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907851
{'ambient': '4896.q', 'aut_centralizer_order': 64, 'aut_label': '102.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 384, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.k1.a1', '34.e1.a1', '51.b1.a1'], 'contains': ['204.g1.a1', '204.n1.a1', '204.p1.a1', '306.e1.a1'], 'core': '204.g1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 59552445, 37832500, 3626150290, 13136242560], 'label': '4896.q.102.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '34.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '102.k1.a1', 'projective_image': '408.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '102.k1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907852
{'ambient': '4896.q', 'aut_centralizer_order': 64, 'aut_label': '102.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 384, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.k1.b1', '34.e1.b1', '51.b1.a1'], 'contains': ['204.g1.a1', '204.n1.b1', '204.p1.b1', '306.e1.b1'], 'core': '204.g1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 12520481233, 3626150290, 167690, 13136242560], 'label': '4896.q.102.k1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '34.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '102.k1.b1', 'projective_image': '408.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '102.k1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907853
{'ambient': '4896.q', 'aut_centralizer_order': 768, 'aut_label': '136.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '68.a1.a1', '68.a1.b1', '68.b1.a1'], 'contains': ['272.a1.a1', '272.b1.a1', '408.a1.a1', '408.b1.a1', '408.i1.a1'], 'core': '136.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24356782725, 24288364848, 24356782778, 24288364796], 'label': '4896.q.136.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '136.a1.a1', 'normal_contained_in': ['8.a1.a1', '68.a1.a1', '68.a1.b1', '68.b1.a1'], 'normal_contains': ['272.a1.a1', '408.a1.a1', '408.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '136.a1.a1', 'projective_image': '816.162', 'quotient_action_image': '2.1', 'quotient_action_kernel': '68.2', 'quotient_action_kernel_order': 68, 'quotient_fusion': None, 'short_label': '136.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907854
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '136.b1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '24.14', 'aut_weyl_index': 256, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '68.a1.a1', '68.c1.a1', '68.d1.a1'], 'contains': ['272.a1.a1', '272.c1.a1', '408.c1.a1', '408.j1.a1'], 'core': '136.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24356782778, 24288364796, 8275297], 'label': '4896.q.136.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '136.b1.a1', 'normal_contained_in': ['8.b1.a1', '68.a1.a1', '68.c1.a1', '68.d1.a1'], 'normal_contains': ['272.a1.a1', '408.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '136.b1.a1', 'projective_image': '816.162', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '136.b1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907855
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '136.b1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '24.14', 'aut_weyl_index': 256, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.b1', '68.a1.b1', '68.c1.b1', '68.d1.a1'], 'contains': ['272.a1.a1', '272.c1.b1', '408.c1.b1', '408.j1.b1'], 'core': '136.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24356782778, 24288364796, 167690], 'label': '4896.q.136.b1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '136.b1.b1', 'normal_contained_in': ['8.b1.b1', '68.a1.b1', '68.c1.b1', '68.d1.a1'], 'normal_contains': ['272.a1.a1', '408.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '136.b1.b1', 'projective_image': '816.162', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '136.b1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907856
{'ambient': '4896.q', 'aut_centralizer_order': 24, 'aut_label': '4.e1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '256.55608', 'aut_weyl_index': 24, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.d1.a1', '2.d1.b1'], 'contains': ['8.c1.a1', '12.f1.a1', '12.h1.a1', '12.r1.a1', '68.e1.a1'], 'core': '4.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 2189373760, 1436776530, 24288364796], 'label': '4896.q.4.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': ['2.b1.a1', '2.d1.a1', '2.d1.b1'], 'normal_contains': ['8.c1.a1', '12.f1.a1', '12.h1.a1', '68.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.e1.a1', 'projective_image': '12.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907857
{'ambient': '4896.q', 'aut_centralizer_order': 768, 'aut_label': '136.c1', 'aut_quo_index': 84, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '68.b1.a1', '68.c1.a1', '68.c1.b1', '68.e1.a1', '68.f1.a1', '68.g1.a1', '68.g1.b1'], 'contains': ['272.a1.a1', '408.d1.a1', '408.f1.a1', '408.l1.a1'], 'core': '136.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24356782778, 24288364796, 13136242560], 'label': '4896.q.136.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '136.c1.a1', 'normal_contained_in': ['8.c1.a1', '68.b1.a1', '68.c1.a1', '68.c1.b1', '68.e1.a1', '68.f1.a1', '68.g1.b1', '68.g1.a1'], 'normal_contains': ['272.a1.a1', '408.d1.a1', '408.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '136.c1.a1', 'projective_image': '408.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '68.5', 'quotient_action_kernel_order': 68, 'quotient_fusion': None, 'short_label': '136.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907858
{'ambient': '4896.q', 'aut_centralizer_order': 768, 'aut_label': '136.d1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '68.b1.a1', '68.d1.a1', '68.h1.a1'], 'contains': ['272.a1.a1', '408.e1.a1', '408.g1.a1', '408.m1.a1'], 'core': '136.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24356782778, 3352478713, 24288364796], 'label': '4896.q.136.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '136.d1.a1', 'normal_contained_in': ['8.d1.a1', '68.b1.a1', '68.d1.a1', '68.h1.a1'], 'normal_contains': ['272.a1.a1', '408.e1.a1', '408.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '136.d1.a1', 'projective_image': '816.162', 'quotient_action_image': '2.1', 'quotient_action_kernel': '68.2', 'quotient_action_kernel_order': 68, 'quotient_fusion': None, 'short_label': '136.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907859
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '136.e1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '24.14', 'aut_weyl_index': 256, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '68.a1.a1', '68.c1.b1', '68.h1.a1'], 'contains': ['272.a1.a1', '408.h1.a1', '408.k1.a1'], 'core': '136.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24356782778, 24288364796, 32196480], 'label': '4896.q.136.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '136.e1.a1', 'normal_contained_in': ['8.e1.a1', '68.a1.a1', '68.c1.b1', '68.h1.a1'], 'normal_contains': ['272.a1.a1', '408.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '136.e1.a1', 'projective_image': '816.162', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '136.e1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907860
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '136.e1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '24.14', 'aut_weyl_index': 256, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '68.a1.b1', '68.c1.a1', '68.h1.a1'], 'contains': ['272.a1.a1', '408.h1.b1', '408.k1.b1'], 'core': '136.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24356782778, 59552445, 24288364796], 'label': '4896.q.136.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '136.e1.b1', 'normal_contained_in': ['8.e1.b1', '68.a1.b1', '68.c1.a1', '68.h1.a1'], 'normal_contains': ['272.a1.a1', '408.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '136.e1.b1', 'projective_image': '816.162', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '136.e1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907861
{'ambient': '4896.q', 'aut_centralizer_order': 384, 'aut_label': '144.a1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '16.1', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '48.b1.a1', '48.c1.a1', '72.a1.a1', '72.b1.a1', '72.c1.a1', '72.d1.a1', '72.d1.b1', '72.e1.a1', '72.e1.b1'], 'contains': ['288.a1.a1', '2448.a1.a1'], 'core': '144.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27914515440, 17720243870], 'label': '4896.q.144.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '144.a1.a1', 'normal_contained_in': ['48.a1.a1', '48.b1.a1', '72.a1.a1', '72.b1.a1', '72.c1.a1'], 'normal_contains': ['288.a1.a1', '2448.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '144.a1.a1', 'projective_image': '144.159', 'quotient_action_image': '1.1', 'quotient_action_kernel': '144.159', 'quotient_action_kernel_order': 144, 'quotient_fusion': None, 'short_label': '144.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907862
{'ambient': '4896.q', 'aut_centralizer_order': 192, 'aut_label': '144.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '16.1', 'aut_weyl_index': 384, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.d1.a1', '48.e1.a1', '48.f1.a1', '48.f1.b1', '72.a1.a1'], 'contains': ['288.a1.a1', '2448.b1.a1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27914515033, 10262689500], 'label': '4896.q.144.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '72.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '144.b1.a1', 'projective_image': '288.672', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907863
{'ambient': '4896.q', 'aut_centralizer_order': 32, 'aut_label': '144.c1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.1', 'aut_weyl_index': 384, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.g1.a1', '48.h1.a1', '72.d1.a1'], 'contains': ['288.a1.a1', '2448.c1.a1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [58394157, 10262689500], 'label': '4896.q.144.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.j1.a1', 'old_label': '144.c1.a1', 'projective_image': '288.672', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907864
{'ambient': '4896.q', 'aut_centralizer_order': 32, 'aut_label': '144.c1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.1', 'aut_weyl_index': 384, 'centralizer': '6.j1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.g1.b1', '48.h1.b1', '72.d1.b1'], 'contains': ['288.a1.a1', '2448.c1.b1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [167690, 10262689500], 'label': '4896.q.144.c1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.j1.b1', 'old_label': '144.c1.b1', 'projective_image': '288.672', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907865
{'ambient': '4896.q', 'aut_centralizer_order': 64, 'aut_label': '153.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.46', 'aut_weyl_index': 192, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1.a1', '51.a1.a1', '51.b1.a1'], 'contains': ['306.a1.a1', '306.b1.a1', '306.c1.a1', '306.d1.a1', '306.d1.b1', '306.e1.a1', '306.e1.b1'], 'core': '306.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [4515583380, 18199169380, 27914515440, 27914515033, 167690], 'label': '4896.q.153.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '51.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '153.a1.a1', 'projective_image': '612.32', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '153.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907866
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '204.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '24.14', 'aut_weyl_index': 256, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '68.a1.a1', '102.a1.a1'], 'contains': ['408.b1.a1', '408.c1.a1', '408.h1.a1', '612.d1.a1'], 'core': '204.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24356782778, 32265192, 27914515033], 'label': '4896.q.204.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '204.a1.a1', 'normal_contained_in': ['12.a1.a1', '68.a1.a1', '102.a1.a1'], 'normal_contains': ['408.b1.a1', '408.c1.a1', '408.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '204.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '204.a1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907867
{'ambient': '4896.q', 'aut_centralizer_order': 24, 'aut_label': '4.f1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '256.55608', 'aut_weyl_index': 24, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.e1.a1', '2.e1.b1'], 'contains': ['8.c1.a1', '12.g1.a1', '12.i1.a1', '12.s1.a1', '68.f1.a1'], 'core': '4.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 7799643927, 17720243870, 24356782778, 2189373760, 24288364796], 'label': '4896.q.4.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': ['2.b1.a1', '2.e1.a1', '2.e1.b1'], 'normal_contains': ['8.c1.a1', '12.g1.a1', '12.i1.a1', '68.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.f1.a1', 'projective_image': '24.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907868
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '204.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '24.14', 'aut_weyl_index': 256, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.b1', '68.a1.b1', '102.a1.a1'], 'contains': ['408.b1.a1', '408.c1.b1', '408.h1.b1', '612.d1.b1'], 'core': '204.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24356782778, 27914515033, 167690], 'label': '4896.q.204.a1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '204.a1.b1', 'normal_contained_in': ['12.a1.b1', '68.a1.b1', '102.a1.a1'], 'normal_contains': ['408.b1.a1', '408.c1.b1', '408.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '204.a1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '204.a1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907869
{'ambient': '4896.q', 'aut_centralizer_order': 768, 'aut_label': '204.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '68.b1.a1', '102.b1.a1', '102.g1.a1', '102.h1.a1'], 'contains': ['408.a1.a1', '408.d1.a1', '408.e1.a1', '612.a1.a1'], 'core': '204.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27914515440, 3694568521, 3626150290, 13136242560], 'label': '4896.q.204.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '204.b1.a1', 'normal_contained_in': ['12.b1.a1', '68.b1.a1', '102.b1.a1'], 'normal_contains': ['408.a1.a1', '408.d1.a1', '408.e1.a1', '612.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '204.b1.a1', 'projective_image': '408.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '102.4', 'quotient_action_kernel_order': 102, 'quotient_fusion': None, 'short_label': '204.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907870
{'ambient': '4896.q', 'aut_centralizer_order': 768, 'aut_label': '204.c1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '68.b1.a1', '102.a1.a1', '102.c1.a1', '102.d1.a1'], 'contains': ['408.b1.a1', '408.f1.a1', '408.g1.a1', '612.a1.a1'], 'core': '204.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24630454632, 24356782778, 27914515033], 'label': '4896.q.204.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '204.c1.a1', 'normal_contained_in': ['12.c1.a1', '68.b1.a1', '102.a1.a1', '102.c1.a1', '102.d1.a1'], 'normal_contains': ['408.b1.a1', '408.f1.a1', '408.g1.a1', '612.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '204.c1.a1', 'projective_image': '1224.160', 'quotient_action_image': '2.1', 'quotient_action_kernel': '102.4', 'quotient_action_kernel_order': 102, 'quotient_fusion': None, 'short_label': '204.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907871
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '204.d1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '24.14', 'aut_weyl_index': 256, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.d1.a1', '68.c1.a1', '102.a1.a1', '102.e1.a1', '102.f1.a1'], 'contains': ['408.c1.a1', '408.f1.a1', '408.h1.b1', '612.e1.a1'], 'core': '204.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24630454632, 24356782778, 59697231], 'label': '4896.q.204.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '204.d1.a1', 'normal_contained_in': ['12.d1.a1', '68.c1.a1', '102.a1.a1', '102.e1.a1', '102.f1.a1'], 'normal_contains': ['408.c1.a1', '408.f1.a1', '408.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '204.d1.a1', 'projective_image': '1224.160', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '204.d1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907872
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '204.d1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '24.14', 'aut_weyl_index': 256, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.d1.b1', '68.c1.b1', '102.a1.a1', '102.e1.b1', '102.f1.b1'], 'contains': ['408.c1.b1', '408.f1.a1', '408.h1.a1', '612.e1.b1'], 'core': '204.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24630454632, 24356782778, 167690], 'label': '4896.q.204.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '204.d1.b1', 'normal_contained_in': ['12.d1.b1', '68.c1.b1', '102.a1.a1', '102.e1.b1', '102.f1.b1'], 'normal_contains': ['408.c1.b1', '408.f1.a1', '408.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '204.d1.b1', 'projective_image': '1224.160', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '204.d1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907873
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '204.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.38', 'aut_weyl_index': 128, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.e1.a1', '68.d1.a1', '102.a1.a1'], 'contains': ['408.c1.a1', '408.c1.b1', '408.g1.a1', '612.f1.a1'], 'core': '204.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24356782778, 3352478713, 167690], 'label': '4896.q.204.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '204.e1.a1', 'normal_contained_in': ['12.e1.a1', '68.d1.a1', '102.a1.a1'], 'normal_contains': ['408.c1.a1', '408.c1.b1', '408.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '204.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '204.e1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907874
{'ambient': '4896.q', 'aut_centralizer_order': 768, 'aut_label': '204.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.f1.a1', '68.e1.a1', '102.b1.a1', '102.j1.a1', '102.j1.b1'], 'contains': ['408.d1.a1', '612.b1.a1'], 'core': '204.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8004897810, 27914515440, 3626150290, 13136242560], 'label': '4896.q.204.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '204.f1.a1', 'normal_contained_in': ['12.f1.a1', '68.e1.a1', '102.b1.a1'], 'normal_contains': ['408.d1.a1', '612.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '204.f1.a1', 'projective_image': '204.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '204.10', 'quotient_action_kernel_order': 204, 'quotient_fusion': None, 'short_label': '204.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907875
{'ambient': '4896.q', 'aut_centralizer_order': 768, 'aut_label': '204.g1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.g1.a1', '68.f1.a1', '102.b1.a1', '102.k1.a1', '102.k1.b1'], 'contains': ['408.d1.a1', '612.c1.a1'], 'core': '204.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27914515440, 12520481233, 3626150290, 13136242560], 'label': '4896.q.204.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '204.g1.a1', 'normal_contained_in': ['12.g1.a1', '68.f1.a1', '102.b1.a1'], 'normal_contains': ['408.d1.a1', '612.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '204.g1.a1', 'projective_image': '408.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '102.4', 'quotient_action_kernel_order': 102, 'quotient_fusion': None, 'short_label': '204.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907876
{'ambient': '4896.q', 'aut_centralizer_order': 768, 'aut_label': '204.h1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.h1.a1', '68.e1.a1', '102.c1.a1', '102.e1.a1', '102.e1.b1'], 'contains': ['408.f1.a1', '612.b1.a1'], 'core': '204.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24630454632, 24356782778, 15462452071], 'label': '4896.q.204.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '204.h1.a1', 'normal_contained_in': ['12.h1.a1', '68.e1.a1', '102.c1.a1', '102.e1.a1', '102.e1.b1'], 'normal_contains': ['408.f1.a1', '612.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '204.h1.a1', 'projective_image': '612.32', 'quotient_action_image': '2.1', 'quotient_action_kernel': '102.4', 'quotient_action_kernel_order': 102, 'quotient_fusion': None, 'short_label': '204.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907877
{'ambient': '4896.q', 'aut_centralizer_order': 768, 'aut_label': '204.i1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.i1.a1', '68.f1.a1', '102.c1.a1', '102.f1.a1', '102.f1.b1'], 'contains': ['408.f1.a1', '612.c1.a1'], 'core': '204.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 12520481124, 24630454632, 24356782778], 'label': '4896.q.204.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '204.i1.a1', 'normal_contained_in': ['12.i1.a1', '68.f1.a1', '102.c1.a1', '102.f1.a1', '102.f1.b1'], 'normal_contains': ['408.f1.a1', '612.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '204.i1.a1', 'projective_image': '1224.160', 'quotient_action_image': '2.1', 'quotient_action_kernel': '102.4', 'quotient_action_kernel_order': 102, 'quotient_fusion': None, 'short_label': '204.i1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907878
{'ambient': '4896.q', 'aut_centralizer_order': 4, 'aut_label': '4.g1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '768.1076025', 'aut_weyl_index': 8, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.d1.b1', '2.e1.a1'], 'contains': ['8.c1.a1', '12.j1.a1', '12.p1.a1', '68.g1.a1'], 'core': '4.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 2189373760, 24288364796, 3521490], 'label': '4896.q.4.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.a1', 'normal_contained_in': ['2.c1.a1', '2.d1.b1', '2.e1.a1'], 'normal_contains': ['8.c1.a1', '12.j1.a1', '68.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.g1.a1', 'projective_image': '24.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907879
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '204.j1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '24.14', 'aut_weyl_index': 256, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.j1.a1', '68.g1.a1', '102.d1.a1', '102.e1.b1', '102.f1.a1'], 'contains': ['408.f1.a1', '612.g1.a1'], 'core': '204.j1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24630454632, 24356782778, 19664311], 'label': '4896.q.204.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '204.j1.a1', 'normal_contained_in': ['12.j1.a1', '68.g1.a1', '102.d1.a1', '102.e1.b1', '102.f1.a1'], 'normal_contains': ['408.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '204.j1.a1', 'projective_image': '1224.160', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '204.j1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907880
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '204.j1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '24.14', 'aut_weyl_index': 256, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.j1.b1', '68.g1.b1', '102.d1.a1', '102.e1.a1', '102.f1.b1'], 'contains': ['408.f1.a1', '612.g1.b1'], 'core': '204.j1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24630454632, 57404377, 24356782778], 'label': '4896.q.204.j1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '204.j1.b1', 'normal_contained_in': ['12.j1.b1', '68.g1.b1', '102.d1.a1', '102.e1.a1', '102.f1.b1'], 'normal_contains': ['408.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '204.j1.b1', 'projective_image': '1224.160', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '204.j1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907881
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '204.k1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.38', 'aut_weyl_index': 128, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.k1.a1', '68.h1.a1', '102.a1.a1'], 'contains': ['408.g1.a1', '408.h1.a1', '408.h1.b1', '612.h1.a1'], 'core': '204.k1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24356782778, 32265192, 3352478713], 'label': '4896.q.204.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '204.k1.a1', 'normal_contained_in': ['12.k1.a1', '68.h1.a1', '102.a1.a1'], 'normal_contains': ['408.g1.a1', '408.h1.b1', '408.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '204.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '204.k1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907882
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '204.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.l1.a1', '68.a1.a1', '102.g1.a1'], 'contains': ['408.a1.a1', '408.j1.a1', '408.k1.a1', '612.d1.a1'], 'core': '408.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 3694568521, 3626150290, 32196480], 'label': '4896.q.204.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '68.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '204.l1.a1', 'projective_image': '816.162', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '204.l1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907883
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '204.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.l1.b1', '68.a1.b1', '102.g1.a1'], 'contains': ['408.a1.a1', '408.j1.b1', '408.k1.b1', '612.d1.b1'], 'core': '408.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 3694568521, 3626150290, 167690], 'label': '4896.q.204.l1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '68.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '204.l1.b1', 'projective_image': '816.162', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '204.l1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907884
{'ambient': '4896.q', 'aut_centralizer_order': 384, 'aut_label': '204.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.m1.a1', '68.b1.a1', '102.i1.a1'], 'contains': ['408.i1.a1', '408.l1.a1', '408.m1.a1', '612.a1.a1'], 'core': '612.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24356782725, 27914515440, 24630454706, 24288364796], 'label': '4896.q.204.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '68.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '204.m1.a1', 'projective_image': '1224.160', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '204.m1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907885
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '204.n1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.n1.a1', '68.c1.a1', '102.g1.a1', '102.j1.a1', '102.k1.a1'], 'contains': ['408.d1.a1', '408.j1.a1', '408.k1.b1', '612.e1.a1'], 'core': '408.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 59552445, 3626150290, 13136242560], 'label': '4896.q.204.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '68.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '204.n1.a1', 'projective_image': '408.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '204.n1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907886
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '204.n1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '6.j1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.n1.b1', '68.c1.b1', '102.g1.a1', '102.j1.b1', '102.k1.b1'], 'contains': ['408.d1.a1', '408.j1.b1', '408.k1.a1', '612.e1.b1'], 'core': '408.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 3626150290, 167690, 13136242560], 'label': '4896.q.204.n1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '68.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '204.n1.b1', 'projective_image': '408.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '204.n1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907887
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '204.o1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.o1.a1', '68.d1.a1', '102.g1.a1'], 'contains': ['408.e1.a1', '408.j1.a1', '408.j1.b1', '612.f1.a1'], 'core': '408.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 9783764113, 3626150290, 167690], 'label': '4896.q.204.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '68.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '204.o1.a1', 'projective_image': '816.162', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '204.o1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907888
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '204.p1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '6.j1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.p1.a1', '68.g1.a1', '102.h1.a1', '102.j1.b1', '102.k1.a1'], 'contains': ['408.d1.a1', '612.g1.a1'], 'core': '408.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [19619730, 27914515440, 3626150290, 13136242560], 'label': '4896.q.204.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '68.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '204.p1.a1', 'projective_image': '408.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '204.p1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907889
{'ambient': '4896.q', 'aut_centralizer_order': 2, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.a1.b1', '4.b1.a1', '4.c1.a1', '4.c1.b1', '4.d1.a1', '4.h1.a1', '6.a1.a1', '6.g1.a1', '34.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24356782725, 24288364848, 17720243870, 24356782778, 2189373760, 24288364796, 167690], 'label': '4896.q.2.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.a1.b1', '4.b1.a1', '4.c1.a1', '4.c1.b1', '4.d1.a1', '4.h1.a1', '6.a1.a1', '34.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '24.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907890
{'ambient': '4896.q', 'aut_centralizer_order': 4, 'aut_label': '4.g1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '768.1076025', 'aut_weyl_index': 8, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.d1.a1', '2.e1.b1'], 'contains': ['8.c1.a1', '12.j1.b1', '12.p1.b1', '68.g1.b1'], 'core': '4.g1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 19078623, 17720243870, 24356782778, 2189373760, 24288364796], 'label': '4896.q.4.g1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.b1', 'normal_contained_in': ['2.c1.a1', '2.d1.a1', '2.e1.b1'], 'normal_contains': ['8.c1.a1', '12.j1.b1', '68.g1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.g1.b1', 'projective_image': '24.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907891
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '204.p1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.p1.b1', '68.g1.b1', '102.h1.a1', '102.j1.a1', '102.k1.b1'], 'contains': ['408.d1.a1', '612.g1.b1'], 'core': '408.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 57425236, 3626150290, 13136242560], 'label': '4896.q.204.p1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '68.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '204.p1.b1', 'projective_image': '408.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '204.p1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907892
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '204.q1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.q1.a1', '68.h1.a1', '102.g1.a1'], 'contains': ['408.e1.a1', '408.k1.a1', '408.k1.b1', '612.h1.a1'], 'core': '408.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 9783764113, 3626150290, 32196480], 'label': '4896.q.204.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '68.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '204.q1.a1', 'projective_image': '816.162', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '204.q1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907893
{'ambient': '4896.q', 'aut_centralizer_order': 384, 'aut_label': '204.r1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.r1.a1', '68.e1.a1', '102.i1.a1'], 'contains': ['408.l1.a1', '612.b1.a1'], 'core': '612.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27914515440, 15462452020, 24630454706, 24288364796], 'label': '4896.q.204.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '68.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '204.r1.a1', 'projective_image': '612.32', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '204.r1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907894
{'ambient': '4896.q', 'aut_centralizer_order': 384, 'aut_label': '204.s1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.s1.a1', '68.f1.a1', '102.i1.a1'], 'contains': ['408.l1.a1', '612.c1.a1'], 'core': '612.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27914515440, 19978035334, 24630454706, 24288364796], 'label': '4896.q.204.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '68.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '204.s1.a1', 'projective_image': '1224.160', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '204.s1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907895
{'ambient': '4896.q', 'aut_centralizer_order': 1536, 'aut_label': '272.a1', 'aut_quo_index': 48, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '136.a1.a1', '136.b1.a1', '136.b1.b1', '136.c1.a1', '136.d1.a1', '136.e1.a1', '136.e1.b1'], 'contains': ['544.a1.a1', '816.a1.a1', '816.b1.a1', '816.c1.a1'], 'core': '272.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24356782778, 24288364796], 'label': '4896.q.272.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '272.a1.a1', 'normal_contained_in': ['16.a1.a1', '136.a1.a1', '136.b1.a1', '136.b1.b1', '136.c1.a1', '136.d1.a1', '136.e1.b1', '136.e1.a1'], 'normal_contains': ['544.a1.a1', '816.a1.a1', '816.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '272.a1.a1', 'projective_image': '816.162', 'quotient_action_image': '2.1', 'quotient_action_kernel': '136.9', 'quotient_action_kernel_order': 136, 'quotient_fusion': None, 'short_label': '272.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907896
{'ambient': '4896.q', 'aut_centralizer_order': 768, 'aut_label': '272.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '136.a1.a1'], 'contains': ['544.a1.a1', '816.d1.a1', '816.e1.a1', '816.f1.a1', '816.f1.b1'], 'core': '544.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24356782725, 24288364848, 24288364796], 'label': '4896.q.272.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '136.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '272.b1.a1', 'projective_image': '1632.776', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '272.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907897
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '272.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '12.4', 'aut_weyl_index': 512, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '136.b1.a1'], 'contains': ['544.a1.a1', '816.g1.a1', '816.h1.a1'], 'core': '544.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24288364848, 24288364796, 8275297], 'label': '4896.q.272.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '136.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '272.c1.a1', 'projective_image': '1632.776', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '272.c1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
-
id: 17907898
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '272.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '12.4', 'aut_weyl_index': 512, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.b1', '136.b1.b1'], 'contains': ['544.a1.a1', '816.g1.b1', '816.h1.b1'], 'core': '544.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24288364848, 24288364796, 167690], 'label': '4896.q.272.c1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '136.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '272.c1.b1', 'projective_image': '1632.776', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '272.c1.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
-
id: 17907899
{'ambient': '4896.q', 'aut_centralizer_order': 384, 'aut_label': '288.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.1', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': ['17.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['96.a1.a1', '96.b1.a1', '96.c1.a1', '144.a1.a1', '144.b1.a1', '144.c1.a1', '144.c1.b1'], 'contains': ['4896.a1.a1'], 'core': '288.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10262689500], 'label': '4896.q.288.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '288.a1.a1', 'normal_contained_in': ['96.a1.a1', '96.b1.a1', '144.a1.a1'], 'normal_contains': ['4896.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '288.a1.a1', 'projective_image': '288.672', 'quotient_action_image': '1.1', 'quotient_action_kernel': '288.672', 'quotient_action_kernel_order': 288, 'quotient_fusion': None, 'short_label': '288.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907900
{'ambient': '4896.q', 'aut_centralizer_order': 768, 'aut_label': '306.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '2.b1.a1', 'complements': ['16.c1.b1', '16.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['18.a1.a1', '102.b1.a1', '102.c1.a1', '102.i1.a1', '153.a1.a1'], 'contains': ['612.a1.a1', '612.b1.a1', '612.c1.a1'], 'core': '306.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4515583380, 18199169380, 27914515440, 27914515033], 'label': '4896.q.306.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '306.a1.a1', 'normal_contained_in': ['18.a1.a1', '102.b1.a1', '102.c1.a1'], 'normal_contains': ['612.a1.a1', '612.b1.a1', '612.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '306.a1.a1', 'projective_image': '612.32', 'quotient_action_image': '2.1', 'quotient_action_kernel': '153.2', 'quotient_action_kernel_order': 153, 'quotient_fusion': None, 'short_label': '306.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907901
{'ambient': '4896.q', 'aut_centralizer_order': 4, 'aut_label': '4.h1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1536.230682437', 'aut_weyl_index': 4, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.d1.a1', '8.e1.a1', '8.e1.b1', '12.k1.a1', '12.q1.a1', '68.h1.a1'], 'core': '4.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 5366080, 23877857253, 24288364796], 'label': '4896.q.4.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.d1.a1', '8.e1.b1', '8.e1.a1', '12.k1.a1', '68.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.h1.a1', 'projective_image': '48.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907902
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '306.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.b1.a1', '102.a1.a1', '102.g1.a1', '153.a1.a1'], 'contains': ['612.a1.a1', '612.d1.a1', '612.d1.b1', '612.e1.a1', '612.e1.b1', '612.f1.a1', '612.h1.a1'], 'core': '612.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [18199169380, 27914515440, 27914515033, 167690], 'label': '4896.q.306.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '102.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '306.b1.a1', 'projective_image': '1224.160', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '306.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907903
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '306.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.c1.a1', '102.d1.a1', '102.h1.a1', '153.a1.a1'], 'contains': ['612.a1.a1', '612.g1.a1', '612.g1.b1'], 'core': '612.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [18199169380, 27914515440, 19664311, 27914515033], 'label': '4896.q.306.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '102.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '306.c1.a1', 'projective_image': '1224.160', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '306.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907904
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '306.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.d1.a1', '102.e1.a1', '102.j1.a1', '153.a1.a1'], 'contains': ['612.b1.a1', '612.e1.a1', '612.g1.b1'], 'core': '612.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [4515583380, 18199169380, 27914515440, 59697231], 'label': '4896.q.306.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '102.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '306.d1.a1', 'projective_image': '612.32', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '306.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907905
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '306.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '6.j1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.d1.b1', '102.e1.b1', '102.j1.b1', '153.a1.a1'], 'contains': ['612.b1.a1', '612.e1.b1', '612.g1.a1'], 'core': '612.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [4515583380, 18199169380, 27914515440, 167690], 'label': '4896.q.306.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '102.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '306.d1.b1', 'projective_image': '612.32', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '306.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907906
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '306.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.e1.a1', '102.f1.a1', '102.k1.a1', '153.a1.a1'], 'contains': ['612.c1.a1', '612.e1.a1', '612.g1.a1'], 'core': '612.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [37853359, 18199169380, 27914515440, 59697231], 'label': '4896.q.306.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '102.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '306.e1.a1', 'projective_image': '1224.160', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '306.e1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907907
{'ambient': '4896.q', 'aut_centralizer_order': 128, 'aut_label': '306.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.e1.b1', '102.f1.b1', '102.k1.b1', '153.a1.a1'], 'contains': ['612.c1.a1', '612.e1.b1', '612.g1.b1'], 'core': '612.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [18199169380, 27914515440, 23467349713, 167690], 'label': '4896.q.306.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '102.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '306.e1.b1', 'projective_image': '1224.160', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '306.e1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907908
{'ambient': '4896.q', 'aut_centralizer_order': 1536, 'aut_label': '408.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '136.a1.a1', '204.b1.a1', '204.l1.a1', '204.l1.b1'], 'contains': ['816.a1.a1', '816.d1.a1', '1224.a1.a1'], 'core': '408.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27914515440, 3694568521, 3626150290], 'label': '4896.q.408.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '408.a1.a1', 'normal_contained_in': ['24.a1.a1', '136.a1.a1', '204.b1.a1'], 'normal_contains': ['816.a1.a1', '1224.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '408.a1.a1', 'projective_image': '816.162', 'quotient_action_image': '2.1', 'quotient_action_kernel': '204.4', 'quotient_action_kernel_order': 204, 'quotient_fusion': None, 'short_label': '408.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907909
{'ambient': '4896.q', 'aut_centralizer_order': 1536, 'aut_label': '408.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '136.a1.a1', '204.a1.a1', '204.a1.b1', '204.c1.a1'], 'contains': ['816.b1.a1', '816.e1.a1', '1224.a1.a1'], 'core': '408.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24356782778, 27914515033], 'label': '4896.q.408.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '408.b1.a1', 'normal_contained_in': ['24.b1.a1', '136.a1.a1', '204.a1.a1', '204.a1.b1', '204.c1.a1'], 'normal_contains': ['816.b1.a1', '1224.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '408.b1.a1', 'projective_image': None, 'quotient_action_image': '2.1', 'quotient_action_kernel': '204.4', 'quotient_action_kernel_order': 204, 'quotient_fusion': None, 'short_label': '408.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907910
{'ambient': '4896.q', 'aut_centralizer_order': 256, 'aut_label': '408.c1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '12.4', 'aut_weyl_index': 512, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.c1.a1', '136.b1.a1', '204.a1.a1', '204.d1.a1', '204.e1.a1'], 'contains': ['816.b1.a1', '816.h1.a1', '1224.d1.a1'], 'core': '408.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24356782778, 8275297], 'label': '4896.q.408.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '408.c1.a1', 'normal_contained_in': ['24.c1.a1', '136.b1.a1', '204.a1.a1', '204.d1.a1', '204.e1.a1'], 'normal_contains': ['816.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '408.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '408.c1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907911
{'ambient': '4896.q', 'aut_centralizer_order': 256, 'aut_label': '408.c1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '12.4', 'aut_weyl_index': 512, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.c1.b1', '136.b1.b1', '204.a1.b1', '204.d1.b1', '204.e1.a1'], 'contains': ['816.b1.a1', '816.h1.b1', '1224.d1.b1'], 'core': '408.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24356782778, 167690], 'label': '4896.q.408.c1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '408.c1.b1', 'normal_contained_in': ['24.c1.b1', '136.b1.b1', '204.a1.b1', '204.d1.b1', '204.e1.a1'], 'normal_contains': ['816.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '408.c1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '408.c1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907912
{'ambient': '4896.q', 'aut_centralizer_order': 4, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1536.230682437', 'aut_weyl_index': 4, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.a1.b1', '12.c1.a1', '12.d1.a1', '12.d1.b1', '12.e1.a1', '12.k1.a1', '18.b1.a1', '102.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 27914515033, 4105075772, 167690, 24356782778, 17720243870], 'label': '4896.q.6.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.a1.a1', '3.a1.a1'], 'normal_contains': ['12.a1.a1', '12.a1.b1', '12.c1.a1', '12.d1.a1', '12.d1.b1', '12.e1.a1', '12.k1.a1', '102.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '72.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907913
{'ambient': '4896.q', 'aut_centralizer_order': 1536, 'aut_label': '408.d1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.d1.a1', '136.c1.a1', '204.b1.a1', '204.f1.a1', '204.g1.a1', '204.n1.a1', '204.n1.b1', '204.p1.a1', '204.p1.b1'], 'contains': ['816.a1.a1', '1224.b1.a1'], 'core': '408.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27914515440, 3626150290, 13136242560], 'label': '4896.q.408.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '408.d1.a1', 'normal_contained_in': ['24.d1.a1', '136.c1.a1', '204.b1.a1', '204.f1.a1', '204.g1.a1'], 'normal_contains': ['816.a1.a1', '1224.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '408.d1.a1', 'projective_image': '408.44', 'quotient_action_image': '1.1', 'quotient_action_kernel': '408.44', 'quotient_action_kernel_order': 408, 'quotient_fusion': None, 'short_label': '408.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907914
{'ambient': '4896.q', 'aut_centralizer_order': 1536, 'aut_label': '408.e1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.e1.a1', '136.d1.a1', '204.b1.a1', '204.o1.a1', '204.q1.a1'], 'contains': ['816.a1.a1', '1224.c1.a1'], 'core': '408.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27914515440, 9783764113, 3626150290], 'label': '4896.q.408.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '408.e1.a1', 'normal_contained_in': ['24.e1.a1', '136.d1.a1', '204.b1.a1'], 'normal_contains': ['816.a1.a1', '1224.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '408.e1.a1', 'projective_image': '816.162', 'quotient_action_image': '2.1', 'quotient_action_kernel': '204.4', 'quotient_action_kernel_order': 204, 'quotient_fusion': None, 'short_label': '408.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907915
{'ambient': '4896.q', 'aut_centralizer_order': 1536, 'aut_label': '408.f1', 'aut_quo_index': 84, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.f1.a1', '136.c1.a1', '204.c1.a1', '204.d1.a1', '204.d1.b1', '204.h1.a1', '204.i1.a1', '204.j1.a1', '204.j1.b1'], 'contains': ['816.b1.a1', '1224.b1.a1'], 'core': '408.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24630454632, 24356782778], 'label': '4896.q.408.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '408.f1.a1', 'normal_contained_in': ['24.f1.a1', '136.c1.a1', '204.c1.a1', '204.d1.a1', '204.d1.b1', '204.h1.a1', '204.i1.a1', '204.j1.b1', '204.j1.a1'], 'normal_contains': ['816.b1.a1', '1224.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '408.f1.a1', 'projective_image': '1224.160', 'quotient_action_image': '2.1', 'quotient_action_kernel': '204.12', 'quotient_action_kernel_order': 204, 'quotient_fusion': None, 'short_label': '408.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907916
{'ambient': '4896.q', 'aut_centralizer_order': 1536, 'aut_label': '408.g1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.g1.a1', '136.d1.a1', '204.c1.a1', '204.e1.a1', '204.k1.a1'], 'contains': ['816.b1.a1', '1224.c1.a1'], 'core': '408.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24356782778, 3352478713], 'label': '4896.q.408.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '408.g1.a1', 'normal_contained_in': ['24.g1.a1', '136.d1.a1', '204.c1.a1', '204.e1.a1', '204.k1.a1'], 'normal_contains': ['816.b1.a1', '1224.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '408.g1.a1', 'projective_image': None, 'quotient_action_image': '2.1', 'quotient_action_kernel': '204.4', 'quotient_action_kernel_order': 204, 'quotient_fusion': None, 'short_label': '408.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907917
{'ambient': '4896.q', 'aut_centralizer_order': 256, 'aut_label': '408.h1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '12.4', 'aut_weyl_index': 512, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.h1.a1', '136.e1.a1', '204.a1.a1', '204.d1.b1', '204.k1.a1'], 'contains': ['816.b1.a1', '1224.e1.a1'], 'core': '408.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24356782778, 32265192], 'label': '4896.q.408.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '408.h1.a1', 'normal_contained_in': ['24.h1.a1', '136.e1.a1', '204.a1.a1', '204.d1.b1', '204.k1.a1'], 'normal_contains': ['816.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '408.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '408.h1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907918
{'ambient': '4896.q', 'aut_centralizer_order': 256, 'aut_label': '408.h1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '12.4', 'aut_weyl_index': 512, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.h1.b1', '136.e1.b1', '204.a1.b1', '204.d1.a1', '204.k1.a1'], 'contains': ['816.b1.a1', '1224.e1.b1'], 'core': '408.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24356782778, 59697231], 'label': '4896.q.408.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '408.h1.b1', 'normal_contained_in': ['24.h1.b1', '136.e1.b1', '204.a1.b1', '204.d1.a1', '204.k1.a1'], 'normal_contains': ['816.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '408.h1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '408.h1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907919
{'ambient': '4896.q', 'aut_centralizer_order': 768, 'aut_label': '408.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.i1.a1', '136.a1.a1', '204.m1.a1'], 'contains': ['816.c1.a1', '816.f1.a1', '816.f1.b1', '1224.a1.a1'], 'core': '1224.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24356782725, 27914515440, 24288364796], 'label': '4896.q.408.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '136.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '408.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '408.i1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907920
{'ambient': '4896.q', 'aut_centralizer_order': 256, 'aut_label': '408.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.j1.a1', '136.b1.a1', '204.l1.a1', '204.n1.a1', '204.o1.a1'], 'contains': ['816.a1.a1', '816.g1.a1', '1224.d1.a1'], 'core': '816.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 8275297, 3626150290], 'label': '4896.q.408.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '136.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '408.j1.a1', 'projective_image': '816.162', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '408.j1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907921
{'ambient': '4896.q', 'aut_centralizer_order': 256, 'aut_label': '408.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '6.j1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.j1.b1', '136.b1.b1', '204.l1.b1', '204.n1.b1', '204.o1.a1'], 'contains': ['816.a1.a1', '816.g1.b1', '1224.d1.b1'], 'core': '816.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 3626150290, 167690], 'label': '4896.q.408.j1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '136.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '408.j1.b1', 'projective_image': '816.162', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '408.j1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907922
{'ambient': '4896.q', 'aut_centralizer_order': 256, 'aut_label': '408.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '6.j1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.k1.a1', '136.e1.a1', '204.l1.a1', '204.n1.b1', '204.q1.a1'], 'contains': ['816.a1.a1', '1224.e1.a1'], 'core': '816.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 3626150290, 32196480], 'label': '4896.q.408.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '136.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '408.k1.a1', 'projective_image': '816.162', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '408.k1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907923
{'ambient': '4896.q', 'aut_centralizer_order': 24, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '256.55608', 'aut_weyl_index': 24, 'centralizer': '2.b1.a1', 'complements': ['816.h1.b1', '816.h1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.b1.a1'], 'contains': ['12.b1.a1', '12.f1.a1', '12.g1.a1', '18.a1.a1', '102.b1.a1'], 'core': '6.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27914515440, 17720243870, 2189373760, 1436776530, 3694568521, 3626150290], 'label': '4896.q.6.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.b1.a1', 'normal_contained_in': ['2.b1.a1'], 'normal_contains': ['12.b1.a1', '12.f1.a1', '12.g1.a1', '18.a1.a1', '102.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.b1.a1', 'projective_image': '12.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907924
{'ambient': '4896.q', 'aut_centralizer_order': 256, 'aut_label': '408.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.k1.b1', '136.e1.b1', '204.l1.b1', '204.n1.a1', '204.q1.a1'], 'contains': ['816.a1.a1', '1224.e1.b1'], 'core': '816.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 59552445, 3626150290], 'label': '4896.q.408.k1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '136.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '408.k1.b1', 'projective_image': '816.162', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '408.k1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907925
{'ambient': '4896.q', 'aut_centralizer_order': 768, 'aut_label': '408.l1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.l1.a1', '136.c1.a1', '204.m1.a1', '204.r1.a1', '204.s1.a1'], 'contains': ['816.c1.a1', '1224.b1.a1'], 'core': '1224.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27914515440, 24630454706, 24288364796], 'label': '4896.q.408.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '136.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '408.l1.a1', 'projective_image': '1224.160', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '408.l1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907926
{'ambient': '4896.q', 'aut_centralizer_order': 768, 'aut_label': '408.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.m1.a1', '136.d1.a1', '204.m1.a1'], 'contains': ['816.c1.a1', '1224.c1.a1'], 'core': '1224.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27914515440, 9783764113, 24288364796], 'label': '4896.q.408.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '136.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '408.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '408.m1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907927
{'ambient': '4896.q', 'aut_centralizer_order': 1536, 'aut_label': '544.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '2.b1.a1', 'complements': ['9.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '272.a1.a1', '272.b1.a1', '272.c1.a1', '272.c1.b1'], 'contains': ['1632.a1.a1', '1632.b1.a1', '1632.c1.a1'], 'core': '544.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24288364796], 'label': '4896.q.544.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '544.a1.a1', 'normal_contained_in': ['32.a1.a1', '272.a1.a1'], 'normal_contains': ['1632.a1.a1', '1632.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '544.a1.a1', 'projective_image': '1632.776', 'quotient_action_image': '2.1', 'quotient_action_kernel': '272.23', 'quotient_action_kernel_order': 272, 'quotient_fusion': None, 'short_label': '544.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907928
{'ambient': '4896.q', 'aut_centralizer_order': 1536, 'aut_label': '612.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['36.a1.a1', '204.b1.a1', '204.c1.a1', '204.m1.a1', '306.a1.a1', '306.b1.a1', '306.c1.a1'], 'contains': ['1224.a1.a1', '1224.b1.a1', '1224.c1.a1'], 'core': '612.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [18199169380, 27914515440, 27914515033], 'label': '4896.q.612.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '612.a1.a1', 'normal_contained_in': ['36.a1.a1', '204.b1.a1', '204.c1.a1', '306.a1.a1'], 'normal_contains': ['1224.a1.a1', '1224.b1.a1', '1224.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '612.a1.a1', 'projective_image': '1224.160', 'quotient_action_image': '2.1', 'quotient_action_kernel': '306.10', 'quotient_action_kernel_order': 306, 'quotient_fusion': None, 'short_label': '612.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907929
{'ambient': '4896.q', 'aut_centralizer_order': 1536, 'aut_label': '612.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['36.b1.a1', '204.f1.a1', '204.h1.a1', '204.r1.a1', '306.a1.a1', '306.d1.a1', '306.d1.b1'], 'contains': ['1224.b1.a1'], 'core': '612.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4515583380, 18199169380, 27914515440], 'label': '4896.q.612.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '612.b1.a1', 'normal_contained_in': ['36.b1.a1', '204.f1.a1', '204.h1.a1', '306.a1.a1'], 'normal_contains': ['1224.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '612.b1.a1', 'projective_image': '612.32', 'quotient_action_image': '1.1', 'quotient_action_kernel': '612.32', 'quotient_action_kernel_order': 612, 'quotient_fusion': None, 'short_label': '612.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907930
{'ambient': '4896.q', 'aut_centralizer_order': 1536, 'aut_label': '612.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['36.c1.a1', '204.g1.a1', '204.i1.a1', '204.s1.a1', '306.a1.a1', '306.e1.a1', '306.e1.b1'], 'contains': ['1224.b1.a1'], 'core': '612.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [18199169380, 27914515440, 23467349713], 'label': '4896.q.612.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '612.c1.a1', 'normal_contained_in': ['36.c1.a1', '204.g1.a1', '204.i1.a1', '306.a1.a1'], 'normal_contains': ['1224.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '612.c1.a1', 'projective_image': '1224.160', 'quotient_action_image': '2.1', 'quotient_action_kernel': '306.10', 'quotient_action_kernel_order': 306, 'quotient_fusion': None, 'short_label': '612.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907931
{'ambient': '4896.q', 'aut_centralizer_order': 256, 'aut_label': '612.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.d1.a1', '204.a1.a1', '204.l1.a1', '306.b1.a1'], 'contains': ['1224.a1.a1', '1224.d1.a1', '1224.e1.a1'], 'core': '1224.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 32265192, 27914515033], 'label': '4896.q.612.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '204.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '612.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '612.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907932
{'ambient': '4896.q', 'aut_centralizer_order': 256, 'aut_label': '612.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.d1.b1', '204.a1.b1', '204.l1.b1', '306.b1.a1'], 'contains': ['1224.a1.a1', '1224.d1.b1', '1224.e1.b1'], 'core': '1224.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 27914515033, 167690], 'label': '4896.q.612.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '204.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '612.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '612.d1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907933
{'ambient': '4896.q', 'aut_centralizer_order': 256, 'aut_label': '612.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.e1.a1', '204.d1.a1', '204.n1.a1', '306.b1.a1', '306.d1.a1', '306.e1.a1'], 'contains': ['1224.b1.a1', '1224.d1.a1', '1224.e1.b1'], 'core': '1224.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [18199169380, 27914515440, 59697231], 'label': '4896.q.612.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '204.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '612.e1.a1', 'projective_image': '1224.160', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '612.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907934
{'ambient': '4896.q', 'aut_centralizer_order': 24, 'aut_label': '6.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '256.55608', 'aut_weyl_index': 24, 'centralizer': '2.b1.a1', 'complements': ['816.g1.b1', '816.g1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.c1.a1', '12.h1.a1', '12.i1.a1', '18.a1.a1', '102.c1.a1'], 'core': '6.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 6362867418, 27914515033, 4105075772], 'label': '4896.q.6.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.c1.a1', 'normal_contained_in': ['2.b1.a1', '3.a1.a1'], 'normal_contains': ['12.c1.a1', '12.h1.a1', '12.i1.a1', '18.a1.a1', '102.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.c1.a1', 'projective_image': '36.12', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907935
{'ambient': '4896.q', 'aut_centralizer_order': 256, 'aut_label': '612.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '6.j1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.e1.b1', '204.d1.b1', '204.n1.b1', '306.b1.a1', '306.d1.b1', '306.e1.b1'], 'contains': ['1224.b1.a1', '1224.d1.b1', '1224.e1.a1'], 'core': '1224.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [18199169380, 27914515440, 167690], 'label': '4896.q.612.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '204.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '612.e1.b1', 'projective_image': '1224.160', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '612.e1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907936
{'ambient': '4896.q', 'aut_centralizer_order': 256, 'aut_label': '612.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 768, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.f1.a1', '204.e1.a1', '204.o1.a1', '306.b1.a1'], 'contains': ['1224.c1.a1', '1224.d1.a1', '1224.d1.b1'], 'core': '1224.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 9783764113, 167690], 'label': '4896.q.612.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '204.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '612.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '612.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907937
{'ambient': '4896.q', 'aut_centralizer_order': 256, 'aut_label': '612.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '6.j1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.g1.a1', '204.j1.a1', '204.p1.a1', '306.c1.a1', '306.d1.b1', '306.e1.a1'], 'contains': ['1224.b1.a1'], 'core': '1224.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [18199169380, 27914515440, 19664311], 'label': '4896.q.612.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '204.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '612.g1.a1', 'projective_image': '1224.160', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '612.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907938
{'ambient': '4896.q', 'aut_centralizer_order': 256, 'aut_label': '612.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.g1.b1', '204.j1.b1', '204.p1.b1', '306.c1.a1', '306.d1.a1', '306.e1.b1'], 'contains': ['1224.b1.a1'], 'core': '1224.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [18199169380, 27914515440, 57404377], 'label': '4896.q.612.g1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '204.j1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '612.g1.b1', 'projective_image': '1224.160', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '612.g1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907939
{'ambient': '4896.q', 'aut_centralizer_order': 256, 'aut_label': '612.h1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 768, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.h1.a1', '204.k1.a1', '204.q1.a1', '306.b1.a1'], 'contains': ['1224.c1.a1', '1224.e1.a1', '1224.e1.b1'], 'core': '1224.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 9783764113, 32265192], 'label': '4896.q.612.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '204.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '612.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '612.h1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907940
{'ambient': '4896.q', 'aut_centralizer_order': 3072, 'aut_label': '816.a1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '272.a1.a1', '408.a1.a1', '408.d1.a1', '408.e1.a1', '408.j1.a1', '408.j1.b1', '408.k1.a1', '408.k1.b1'], 'contains': ['1632.a1.a1', '2448.a1.a1'], 'core': '816.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27914515440, 3626150290], 'label': '4896.q.816.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '816.a1.a1', 'normal_contained_in': ['48.a1.a1', '272.a1.a1', '408.a1.a1', '408.d1.a1', '408.e1.a1'], 'normal_contains': ['1632.a1.a1', '2448.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '816.a1.a1', 'projective_image': '816.162', 'quotient_action_image': '1.1', 'quotient_action_kernel': '816.162', 'quotient_action_kernel_order': 816, 'quotient_fusion': None, 'short_label': '816.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907941
{'ambient': '4896.q', 'aut_centralizer_order': 3072, 'aut_label': '816.b1', 'aut_quo_index': 48, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.b1.a1', '272.a1.a1', '408.b1.a1', '408.c1.a1', '408.c1.b1', '408.f1.a1', '408.g1.a1', '408.h1.a1', '408.h1.b1'], 'contains': ['1632.b1.a1', '2448.a1.a1'], 'core': '816.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 24356782778], 'label': '4896.q.816.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '816.b1.a1', 'normal_contained_in': ['48.b1.a1', '272.a1.a1', '408.b1.a1', '408.c1.a1', '408.c1.b1', '408.f1.a1', '408.g1.a1', '408.h1.b1', '408.h1.a1'], 'normal_contains': ['1632.b1.a1', '2448.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '816.b1.a1', 'projective_image': None, 'quotient_action_image': '2.1', 'quotient_action_kernel': '408.30', 'quotient_action_kernel_order': 408, 'quotient_fusion': None, 'short_label': '816.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907942
{'ambient': '4896.q', 'aut_centralizer_order': 1536, 'aut_label': '816.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.c1.a1', '272.a1.a1', '408.i1.a1', '408.l1.a1', '408.m1.a1'], 'contains': ['1632.c1.a1', '2448.a1.a1'], 'core': '2448.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27914515440, 24288364796], 'label': '4896.q.816.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '272.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '816.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '816.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907943
{'ambient': '4896.q', 'aut_centralizer_order': 1536, 'aut_label': '816.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.d1.a1', '272.b1.a1', '408.a1.a1'], 'contains': ['1632.a1.a1', '2448.b1.a1'], 'core': '1632.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3694568521, 3626150290], 'label': '4896.q.816.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '408.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '816.d1.a1', 'projective_image': '1632.776', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '816.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907944
{'ambient': '4896.q', 'aut_centralizer_order': 1536, 'aut_label': '816.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.e1.a1', '272.b1.a1', '408.b1.a1'], 'contains': ['1632.b1.a1', '2448.b1.a1'], 'core': '1632.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24288364848, 27914515033], 'label': '4896.q.816.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '408.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '816.e1.a1', 'projective_image': '4896.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '816.e1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907945
{'ambient': '4896.q', 'aut_centralizer_order': 4, 'aut_label': '6.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1536.230682437', 'aut_weyl_index': 4, 'centralizer': '12.f1.a1', 'complements': ['816.g1.b1', '816.g1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '3.a1.a1'], 'contains': ['12.c1.a1', '12.j1.a1', '12.j1.b1', '18.c1.a1', '102.d1.a1'], 'core': '6.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 3550938, 27914515033, 4105075772, 24356782778, 17720243870], 'label': '4896.q.6.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.d1.a1', 'normal_contained_in': ['2.c1.a1', '3.a1.a1'], 'normal_contains': ['12.c1.a1', '12.j1.b1', '12.j1.a1', '102.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.d1.a1', 'projective_image': '72.48', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.d1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
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id: 17907946
{'ambient': '4896.q', 'aut_centralizer_order': 768, 'aut_label': '816.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.f1.a1', '272.b1.a1', '408.i1.a1'], 'contains': ['1632.c1.a1', '2448.b1.a1'], 'core': '4896.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24356782725, 24288364796], 'label': '4896.q.816.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '136.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '816.f1.a1', 'projective_image': '4896.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '816.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907947
{'ambient': '4896.q', 'aut_centralizer_order': 768, 'aut_label': '816.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.f1.b1', '272.b1.a1', '408.i1.a1'], 'contains': ['1632.c1.a1', '2448.b1.a1'], 'core': '4896.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [68418284, 27914515085], 'label': '4896.q.816.f1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '136.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '816.f1.b1', 'projective_image': '4896.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '816.f1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 17907948
{'ambient': '4896.q', 'aut_centralizer_order': 256, 'aut_label': '816.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.g1.a1', '272.c1.a1', '408.j1.a1'], 'contains': ['1632.a1.a1', '2448.c1.a1'], 'core': '1632.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [8275297, 3626150290], 'label': '4896.q.816.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '136.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.j1.a1', 'old_label': '816.g1.a1', 'projective_image': '1632.776', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '816.g1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907949
{'ambient': '4896.q', 'aut_centralizer_order': 256, 'aut_label': '816.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '6.j1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.g1.b1', '272.c1.b1', '408.j1.b1'], 'contains': ['1632.a1.a1', '2448.c1.b1'], 'core': '1632.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [3626150290, 167690], 'label': '4896.q.816.g1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '136.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.j1.b1', 'old_label': '816.g1.b1', 'projective_image': '1632.776', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '816.g1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907950
{'ambient': '4896.q', 'aut_centralizer_order': 256, 'aut_label': '816.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1024, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.h1.a1', '272.c1.a1', '408.c1.a1'], 'contains': ['1632.b1.a1', '2448.c1.a1'], 'core': '1632.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24288364848, 8275297], 'label': '4896.q.816.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '408.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '816.h1.a1', 'projective_image': '4896.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '816.h1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
-
id: 17907951
{'ambient': '4896.q', 'aut_centralizer_order': 256, 'aut_label': '816.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '6.1', 'aut_weyl_index': 1024, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.h1.b1', '272.c1.b1', '408.c1.b1'], 'contains': ['1632.b1.a1', '2448.c1.b1'], 'core': '1632.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24288364848, 167690], 'label': '4896.q.816.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '408.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '816.h1.b1', 'projective_image': '4896.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '816.h1.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
-
id: 17907952
{'ambient': '4896.q', 'aut_centralizer_order': 3072, 'aut_label': '1224.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['72.a1.a1', '408.a1.a1', '408.b1.a1', '408.i1.a1', '612.a1.a1', '612.d1.a1', '612.d1.b1'], 'contains': ['2448.a1.a1', '2448.b1.a1'], 'core': '1224.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27914515440, 27914515033], 'label': '4896.q.1224.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1224.a1.a1', 'normal_contained_in': ['72.a1.a1', '408.a1.a1', '408.b1.a1', '612.a1.a1'], 'normal_contains': ['2448.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1224.a1.a1', 'projective_image': None, 'quotient_action_image': '2.1', 'quotient_action_kernel': '612.18', 'quotient_action_kernel_order': 612, 'quotient_fusion': None, 'short_label': '1224.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907953
{'ambient': '4896.q', 'aut_centralizer_order': 3072, 'aut_label': '1224.b1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['72.b1.a1', '408.d1.a1', '408.f1.a1', '408.l1.a1', '612.a1.a1', '612.b1.a1', '612.c1.a1', '612.e1.a1', '612.e1.b1', '612.g1.a1', '612.g1.b1'], 'contains': ['2448.a1.a1'], 'core': '1224.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [18199169380, 27914515440], 'label': '4896.q.1224.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1224.b1.a1', 'normal_contained_in': ['72.b1.a1', '408.d1.a1', '408.f1.a1', '612.a1.a1', '612.b1.a1', '612.c1.a1'], 'normal_contains': ['2448.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1224.b1.a1', 'projective_image': '1224.160', 'quotient_action_image': '1.1', 'quotient_action_kernel': '1224.160', 'quotient_action_kernel_order': 1224, 'quotient_fusion': None, 'short_label': '1224.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907954
{'ambient': '4896.q', 'aut_centralizer_order': 3072, 'aut_label': '1224.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['72.c1.a1', '408.e1.a1', '408.g1.a1', '408.m1.a1', '612.a1.a1', '612.f1.a1', '612.h1.a1'], 'contains': ['2448.a1.a1'], 'core': '1224.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27914515440, 9783764113], 'label': '4896.q.1224.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1224.c1.a1', 'normal_contained_in': ['72.c1.a1', '408.e1.a1', '408.g1.a1', '612.a1.a1'], 'normal_contains': ['2448.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1224.c1.a1', 'projective_image': None, 'quotient_action_image': '2.1', 'quotient_action_kernel': '612.18', 'quotient_action_kernel_order': 612, 'quotient_fusion': None, 'short_label': '1224.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907955
{'ambient': '4896.q', 'aut_centralizer_order': 512, 'aut_label': '1224.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.d1.a1', '408.c1.a1', '408.j1.a1', '612.d1.a1', '612.e1.a1', '612.f1.a1'], 'contains': ['2448.a1.a1', '2448.c1.a1'], 'core': '2448.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 8275297], 'label': '4896.q.1224.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '408.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '1224.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1224.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907956
{'ambient': '4896.q', 'aut_centralizer_order': 4, 'aut_label': '6.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '768.1076025', 'aut_weyl_index': 8, 'centralizer': '12.f1.a1', 'complements': ['816.d1.a1', '816.f1.a1', '816.f1.b1', '816.g1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '3.a1.a1'], 'contains': ['12.d1.a1', '12.h1.a1', '12.j1.b1', '18.d1.a1', '102.e1.a1'], 'core': '6.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 59697231, 6362867418, 4105075772], 'label': '4896.q.6.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.e1.a1', 'normal_contained_in': ['2.d1.a1', '3.a1.a1'], 'normal_contains': ['12.d1.a1', '12.h1.a1', '12.j1.b1', '102.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.e1.a1', 'projective_image': '36.12', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.e1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907957
{'ambient': '4896.q', 'aut_centralizer_order': 512, 'aut_label': '1224.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '6.j1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.d1.b1', '408.c1.b1', '408.j1.b1', '612.d1.b1', '612.e1.b1', '612.f1.a1'], 'contains': ['2448.a1.a1', '2448.c1.b1'], 'core': '2448.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 167690], 'label': '4896.q.1224.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '408.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '1224.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1224.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907958
{'ambient': '4896.q', 'aut_centralizer_order': 512, 'aut_label': '1224.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '6.j1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.e1.a1', '408.h1.a1', '408.k1.a1', '612.d1.a1', '612.e1.b1', '612.h1.a1'], 'contains': ['2448.a1.a1'], 'core': '2448.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 32265192], 'label': '4896.q.1224.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '408.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '1224.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1224.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907959
{'ambient': '4896.q', 'aut_centralizer_order': 512, 'aut_label': '1224.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.e1.b1', '408.h1.b1', '408.k1.b1', '612.d1.b1', '612.e1.a1', '612.h1.a1'], 'contains': ['2448.a1.a1'], 'core': '2448.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 59697231], 'label': '4896.q.1224.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '408.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '1224.e1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1224.e1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907960
{'ambient': '4896.q', 'aut_centralizer_order': 3072, 'aut_label': '1632.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '1.a1.a1', 'complements': ['3.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['96.a1.a1', '544.a1.a1', '816.a1.a1', '816.d1.a1', '816.g1.a1', '816.g1.b1'], 'contains': ['4896.a1.a1'], 'core': '1632.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3626150290], 'label': '4896.q.1632.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1632.a1.a1', 'normal_contained_in': ['96.a1.a1', '544.a1.a1', '816.a1.a1'], 'normal_contains': ['4896.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1632.a1.a1', 'projective_image': '1632.776', 'quotient_action_image': '1.1', 'quotient_action_kernel': '1632.776', 'quotient_action_kernel_order': 1632, 'quotient_fusion': None, 'short_label': '1632.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907961
{'ambient': '4896.q', 'aut_centralizer_order': 3072, 'aut_label': '1632.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '2.b1.a1', 'complements': ['3.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['96.b1.a1', '544.a1.a1', '816.b1.a1', '816.e1.a1', '816.h1.a1', '816.h1.b1'], 'contains': ['4896.a1.a1'], 'core': '1632.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848], 'label': '4896.q.1632.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1632.b1.a1', 'normal_contained_in': ['96.b1.a1', '544.a1.a1', '816.b1.a1'], 'normal_contains': ['4896.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1632.b1.a1', 'projective_image': '4896.q', 'quotient_action_image': '2.1', 'quotient_action_kernel': '816.84', 'quotient_action_kernel_order': 816, 'quotient_fusion': None, 'short_label': '1632.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907962
{'ambient': '4896.q', 'aut_centralizer_order': 1536, 'aut_label': '1632.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.c1.a1', '544.a1.a1', '816.c1.a1', '816.f1.a1', '816.f1.b1'], 'contains': ['4896.a1.a1'], 'core': '4896.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24288364796], 'label': '4896.q.1632.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '544.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '1632.c1.a1', 'projective_image': '4896.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1632.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907963
{'ambient': '4896.q', 'aut_centralizer_order': 6144, 'aut_label': '2448.a1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['144.a1.a1', '816.a1.a1', '816.b1.a1', '816.c1.a1', '1224.a1.a1', '1224.b1.a1', '1224.c1.a1', '1224.d1.a1', '1224.d1.b1', '1224.e1.a1', '1224.e1.b1'], 'contains': ['4896.a1.a1'], 'core': '2448.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27914515440], 'label': '4896.q.2448.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2448.a1.a1', 'normal_contained_in': ['144.a1.a1', '816.a1.a1', '816.b1.a1', '1224.a1.a1', '1224.b1.a1', '1224.c1.a1'], 'normal_contains': ['4896.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2448.a1.a1', 'projective_image': None, 'quotient_action_image': '1.1', 'quotient_action_kernel': None, 'quotient_action_kernel_order': 2448, 'quotient_fusion': None, 'short_label': '2448.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907964
{'ambient': '4896.q', 'aut_centralizer_order': 3072, 'aut_label': '2448.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.b1.a1', '816.d1.a1', '816.e1.a1', '816.f1.a1', '816.f1.b1', '1224.a1.a1'], 'contains': ['4896.a1.a1'], 'core': '4896.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27914515033], 'label': '4896.q.2448.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1224.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '2448.b1.a1', 'projective_image': '4896.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2448.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907965
{'ambient': '4896.q', 'aut_centralizer_order': 512, 'aut_label': '2448.c1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.c1.a1', '816.g1.a1', '816.h1.a1', '1224.d1.a1'], 'contains': ['4896.a1.a1'], 'core': '4896.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [8275297], 'label': '4896.q.2448.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '408.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.j1.a1', 'old_label': '2448.c1.a1', 'projective_image': '4896.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2448.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907966
{'ambient': '4896.q', 'aut_centralizer_order': 512, 'aut_label': '2448.c1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144, 'centralizer': '6.j1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.c1.b1', '816.g1.b1', '816.h1.b1', '1224.d1.b1'], 'contains': ['4896.a1.a1'], 'core': '4896.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [167690], 'label': '4896.q.2448.c1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '408.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.j1.b1', 'old_label': '2448.c1.b1', 'projective_image': '4896.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2448.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907967
{'ambient': '4896.q', 'aut_centralizer_order': 4, 'aut_label': '6.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '768.1076025', 'aut_weyl_index': 8, 'centralizer': '12.f1.a1', 'complements': ['816.d1.a1', '816.f1.a1', '816.f1.b1', '816.g1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.d1.b1', '3.a1.a1'], 'contains': ['12.d1.b1', '12.h1.a1', '12.j1.a1', '18.d1.b1', '102.e1.b1'], 'core': '6.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 6362867418, 167690, 4105075772], 'label': '4896.q.6.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.e1.b1', 'normal_contained_in': ['2.d1.b1', '3.a1.a1'], 'normal_contains': ['12.d1.b1', '12.h1.a1', '12.j1.a1', '102.e1.b1'], 'normalizer': '1.a1.a1', 'old_label': '6.e1.b1', 'projective_image': '36.12', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.e1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907968
{'ambient': '4896.q', 'aut_centralizer_order': None, 'aut_label': '4896.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['288.a1.a1', '1632.a1.a1', '1632.b1.a1', '1632.c1.a1', '2448.a1.a1', '2448.b1.a1', '2448.c1.a1', '2448.c1.b1'], 'contains': [], 'core': '4896.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '4896.q.4896.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4896.a1.a1', 'normal_contained_in': ['288.a1.a1', '1632.a1.a1', '1632.b1.a1', '2448.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '4896.a1.a1', 'projective_image': '4896.q', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4896.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907969
{'ambient': '4896.q', 'aut_centralizer_order': 4, 'aut_label': '6.f1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '768.1076025', 'aut_weyl_index': 8, 'centralizer': '12.f1.a1', 'complements': ['816.d1.a1', '816.f1.a1', '816.f1.b1', '816.g1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '3.a1.a1'], 'contains': ['12.d1.a1', '12.i1.a1', '12.j1.a1', '18.e1.a1', '102.f1.a1'], 'core': '6.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 59697231, 3550938, 4105075772], 'label': '4896.q.6.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.f1.a1', 'normal_contained_in': ['2.e1.a1', '3.a1.a1'], 'normal_contains': ['12.d1.a1', '12.i1.a1', '12.j1.a1', '102.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.f1.a1', 'projective_image': '72.48', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.f1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907970
{'ambient': '4896.q', 'aut_centralizer_order': 4, 'aut_label': '6.f1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '768.1076025', 'aut_weyl_index': 8, 'centralizer': '12.f1.a1', 'complements': ['816.d1.a1', '816.f1.a1', '816.f1.b1', '816.g1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.e1.b1', '3.a1.a1'], 'contains': ['12.d1.b1', '12.i1.a1', '12.j1.b1', '18.e1.b1', '102.f1.b1'], 'core': '6.f1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 21620065585, 167690, 4105075772], 'label': '4896.q.6.f1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.f1.b1', 'normal_contained_in': ['2.e1.b1', '3.a1.a1'], 'normal_contains': ['12.d1.b1', '12.i1.a1', '12.j1.b1', '102.f1.b1'], 'normalizer': '1.a1.a1', 'old_label': '6.f1.b1', 'projective_image': '72.48', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.f1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907971
{'ambient': '4896.q', 'aut_centralizer_order': 12, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '512.10493039', 'aut_weyl_index': 12, 'centralizer': '2.b1.a1', 'complements': ['2448.c1.b1', '2448.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.e1.a1', '4.f1.a1', '6.b1.a1', '6.c1.a1', '6.i1.a1', '34.b1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24356782725, 24288364848, 17720243870, 24356782778, 2189373760, 1436776530, 24288364796], 'label': '4896.q.2.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.e1.a1', '4.f1.a1', '6.b1.a1', '6.c1.a1', '34.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '12.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907972
{'ambient': '4896.q', 'aut_centralizer_order': 4, 'aut_label': '6.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '512.7529762', 'aut_weyl_index': 12, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.b1.a1'], 'contains': ['12.b1.a1', '12.l1.a1', '12.l1.b1', '12.n1.a1', '12.n1.b1', '12.o1.a1', '12.q1.a1', '18.b1.a1', '102.g1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 17720243870, 2189373760, 3694568521, 3626150290, 167690], 'label': '4896.q.6.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '6.g1.a1', 'projective_image': '24.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907973
{'ambient': '4896.q', 'aut_centralizer_order': 4, 'aut_label': '6.h1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '512.7529762', 'aut_weyl_index': 12, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '3.b1.a1'], 'contains': ['12.b1.a1', '12.p1.a1', '12.p1.b1', '18.c1.a1', '102.h1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 17720243870, 2189373760, 3694568521, 3521490, 3626150290], 'label': '4896.q.6.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '6.h1.a1', 'projective_image': '24.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.h1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907974
{'ambient': '4896.q', 'aut_centralizer_order': 12, 'aut_label': '6.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '256.55608', 'aut_weyl_index': 24, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['12.m1.a1', '12.r1.a1', '12.s1.a1', '18.a1.a1', '102.i1.a1'], 'core': '18.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24356782725, 4105076057, 6362867692, 27914515440, 17720243870, 24288364796], 'label': '4896.q.6.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '6.i1.a1', 'projective_image': '36.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.i1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907975
{'ambient': '4896.q', 'aut_centralizer_order': 4, 'aut_label': '6.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.55608', 'aut_weyl_index': 24, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '3.b1.a1'], 'contains': ['12.f1.a1', '12.n1.a1', '12.p1.b1', '18.d1.a1', '102.j1.a1'], 'core': '12.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 17720243870, 2189373760, 59552445, 1436776530, 3626150290], 'label': '4896.q.6.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '6.j1.a1', 'projective_image': '12.4', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.j1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907976
{'ambient': '4896.q', 'aut_centralizer_order': 4, 'aut_label': '6.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.55608', 'aut_weyl_index': 24, 'centralizer': '6.j1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.b1', '3.b1.a1'], 'contains': ['12.f1.a1', '12.n1.b1', '12.p1.a1', '18.d1.b1', '102.j1.b1'], 'core': '12.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 17720243870, 2189373760, 1436776530, 3626150290, 167690], 'label': '4896.q.6.j1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '6.j1.b1', 'projective_image': '12.4', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.j1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907977
{'ambient': '4896.q', 'aut_centralizer_order': 4, 'aut_label': '6.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.55608', 'aut_weyl_index': 24, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '3.b1.a1'], 'contains': ['12.g1.a1', '12.n1.a1', '12.p1.a1', '18.e1.a1', '102.k1.a1'], 'core': '12.g1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [15677788, 27914515440, 17720243870, 2189373760, 59552445, 3626150290], 'label': '4896.q.6.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '6.k1.a1', 'projective_image': '24.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.k1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907978
{'ambient': '4896.q', 'aut_centralizer_order': 4, 'aut_label': '6.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.55608', 'aut_weyl_index': 24, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.b1', '3.b1.a1'], 'contains': ['12.g1.a1', '12.n1.b1', '12.p1.b1', '18.e1.b1', '102.k1.b1'], 'core': '12.g1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 17720243870, 2189373760, 21620065657, 3626150290, 167690], 'label': '4896.q.6.k1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '6.k1.b1', 'projective_image': '24.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.k1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907979
{'ambient': '4896.q', 'aut_centralizer_order': 48, 'aut_label': '8.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 48, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.a1.b1', '4.b1.a1'], 'contains': ['16.a1.a1', '16.b1.a1', '24.a1.a1', '24.b1.a1', '24.i1.a1', '136.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24356782725, 24288364848, 17720243870, 24356782778, 24288364796], 'label': '4896.q.8.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1', '4.a1.b1', '4.b1.a1'], 'normal_contains': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '136.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '48.35', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907980
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '8.b1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '384.14574', 'aut_weyl_index': 16, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.c1.a1', '4.d1.a1'], 'contains': ['16.a1.a1', '16.c1.a1', '24.c1.a1', '24.j1.a1', '136.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 58394157, 24288364796], 'label': '4896.q.8.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1', '4.c1.a1', '4.d1.a1'], 'normal_contains': ['16.a1.a1', '24.c1.a1', '136.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '48.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907981
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '8.b1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '384.14574', 'aut_weyl_index': 16, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1', '4.c1.b1', '4.d1.a1'], 'contains': ['16.a1.a1', '16.c1.b1', '24.c1.b1', '24.j1.b1', '136.b1.b1'], 'core': '8.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 24288364796, 167690], 'label': '4896.q.8.b1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.b1', 'normal_contained_in': ['4.a1.b1', '4.c1.b1', '4.d1.a1'], 'normal_contains': ['16.a1.a1', '24.c1.b1', '136.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.b1', 'projective_image': '48.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907982
{'ambient': '4896.q', 'aut_centralizer_order': 2, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '12.f1.a1', 'complements': ['2448.c1.b1', '2448.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.g1.a1', '4.g1.b1', '6.d1.a1', '6.h1.a1', '34.c1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24356782725, 24288364848, 17720243870, 24356782778, 2189373760, 24288364796, 3521490], 'label': '4896.q.2.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.g1.b1', '4.g1.a1', '6.d1.a1', '34.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '24.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907983
{'ambient': '4896.q', 'aut_centralizer_order': 48, 'aut_label': '8.c1', 'aut_quo_index': 84, 'aut_stab_index': 1, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 48, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.c1.a1', '4.c1.b1', '4.e1.a1', '4.f1.a1', '4.g1.a1', '4.g1.b1'], 'contains': ['16.a1.a1', '24.d1.a1', '24.f1.a1', '24.l1.a1', '136.c1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 2189373760, 24288364796], 'label': '4896.q.8.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.b1.a1', '4.c1.a1', '4.c1.b1', '4.e1.a1', '4.f1.a1', '4.g1.b1', '4.g1.a1'], 'normal_contains': ['16.a1.a1', '24.d1.a1', '24.f1.a1', '136.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '24.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907984
{'ambient': '4896.q', 'aut_centralizer_order': 48, 'aut_label': '8.d1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 48, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.d1.a1', '4.h1.a1'], 'contains': ['16.a1.a1', '24.e1.a1', '24.g1.a1', '24.m1.a1', '136.d1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 23877857253, 24288364796], 'label': '4896.q.8.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': ['4.b1.a1', '4.d1.a1', '4.h1.a1'], 'normal_contains': ['16.a1.a1', '24.e1.a1', '24.g1.a1', '136.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.a1', 'projective_image': '48.35', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907985
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '8.e1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '384.14574', 'aut_weyl_index': 16, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.c1.b1', '4.h1.a1'], 'contains': ['16.a1.a1', '24.h1.a1', '24.k1.a1', '136.e1.a1'], 'core': '8.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 5366080, 24288364796], 'label': '4896.q.8.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': ['4.a1.a1', '4.c1.b1', '4.h1.a1'], 'normal_contains': ['16.a1.a1', '24.h1.a1', '136.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.e1.a1', 'projective_image': '48.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907986
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '8.e1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '384.14574', 'aut_weyl_index': 16, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1', '4.c1.a1', '4.h1.a1'], 'contains': ['16.a1.a1', '24.h1.b1', '24.k1.b1', '136.e1.b1'], 'core': '8.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 59552445, 24288364796], 'label': '4896.q.8.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.b1', 'normal_contained_in': ['4.a1.b1', '4.c1.a1', '4.h1.a1'], 'normal_contains': ['16.a1.a1', '24.h1.b1', '136.e1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.e1.b1', 'projective_image': '48.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907987
{'ambient': '4896.q', 'aut_centralizer_order': 4, 'aut_label': '9.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '512.7529762', 'aut_weyl_index': 12, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '3.b1.a1'], 'contains': ['18.a1.a1', '18.b1.a1', '18.c1.a1', '18.d1.a1', '18.d1.b1', '18.e1.a1', '18.e1.b1', '153.a1.a1'], 'core': '18.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [21688483810, 20183289350, 27914515440, 17720243870, 27914515033, 167690], 'label': '4896.q.9.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '9.a1.a1', 'projective_image': '36.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17907988
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '384.14574', 'aut_weyl_index': 16, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1'], 'contains': ['24.b1.a1', '24.c1.a1', '24.h1.a1', '36.d1.a1', '204.a1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 5377532, 17720243870, 24356782778, 27914515033], 'label': '4896.q.12.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1'], 'normal_contains': ['24.b1.a1', '24.c1.a1', '24.h1.a1', '204.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '144.159', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907989
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '384.14574', 'aut_weyl_index': 16, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1', '6.a1.a1'], 'contains': ['24.b1.a1', '24.c1.b1', '24.h1.b1', '36.d1.b1', '204.a1.b1'], 'core': '12.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 27914515033, 167690], 'label': '4896.q.12.a1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.b1', 'normal_contained_in': ['4.a1.b1', '6.a1.a1'], 'normal_contains': ['24.b1.a1', '24.c1.b1', '24.h1.b1', '204.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.b1', 'projective_image': '144.159', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.a1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907990
{'ambient': '4896.q', 'aut_centralizer_order': 48, 'aut_label': '12.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 48, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.b1.a1', '6.g1.a1', '6.h1.a1'], 'contains': ['24.a1.a1', '24.d1.a1', '24.e1.a1', '36.a1.a1', '204.b1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27914515440, 17720243870, 2189373760, 3694568521, 3626150290], 'label': '4896.q.12.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.b1.a1', '6.b1.a1'], 'normal_contains': ['24.a1.a1', '24.d1.a1', '24.e1.a1', '36.a1.a1', '204.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', 'projective_image': '24.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907991
{'ambient': '4896.q', 'aut_centralizer_order': 48, 'aut_label': '12.c1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 48, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.a1.a1', '6.c1.a1', '6.d1.a1'], 'contains': ['24.b1.a1', '24.f1.a1', '24.g1.a1', '36.a1.a1', '204.c1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 27914515033, 4105075772], 'label': '4896.q.12.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1.a1', 'normal_contained_in': ['4.b1.a1', '6.a1.a1', '6.c1.a1', '6.d1.a1'], 'normal_contains': ['24.b1.a1', '24.f1.a1', '24.g1.a1', '36.a1.a1', '204.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.c1.a1', 'projective_image': '72.48', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907992
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '12.d1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '384.14574', 'aut_weyl_index': 16, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.a1.a1', '6.e1.a1', '6.f1.a1'], 'contains': ['24.c1.a1', '24.f1.a1', '24.h1.b1', '36.e1.a1', '204.d1.a1'], 'core': '12.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 59697231, 4105075772], 'label': '4896.q.12.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1.a1', 'normal_contained_in': ['4.c1.a1', '6.a1.a1', '6.e1.a1', '6.f1.a1'], 'normal_contains': ['24.c1.a1', '24.f1.a1', '24.h1.b1', '204.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.d1.a1', 'projective_image': '72.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907993
{'ambient': '4896.q', 'aut_centralizer_order': 2, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1536.408494245', 'aut_weyl_index': 4, 'centralizer': '12.f1.a1', 'complements': ['2448.b1.a1', '2448.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.c1.a1', '4.e1.a1', '4.g1.b1', '6.e1.a1', '6.j1.a1', '34.d1.a1'], 'core': '2.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 2189373760, 59552445, 1436776530, 24288364796], 'label': '4896.q.2.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.c1.a1', '4.e1.a1', '4.g1.b1', '6.e1.a1', '34.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.a1', 'projective_image': '12.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.d1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907994
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '12.d1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '384.14574', 'aut_weyl_index': 16, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.b1', '6.a1.a1', '6.e1.b1', '6.f1.b1'], 'contains': ['24.c1.b1', '24.f1.a1', '24.h1.a1', '36.e1.b1', '204.d1.b1'], 'core': '12.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 167690, 4105075772], 'label': '4896.q.12.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1.b1', 'normal_contained_in': ['4.c1.b1', '6.a1.a1', '6.e1.b1', '6.f1.b1'], 'normal_contains': ['24.c1.b1', '24.f1.a1', '24.h1.a1', '204.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.d1.b1', 'projective_image': '72.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907995
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '12.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '768.322714', 'aut_weyl_index': 8, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.a1.a1'], 'contains': ['24.c1.a1', '24.c1.b1', '24.g1.a1', '36.f1.a1', '204.e1.a1'], 'core': '12.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 23877857253, 167690], 'label': '4896.q.12.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.e1.a1', 'normal_contained_in': ['4.d1.a1', '6.a1.a1'], 'normal_contains': ['24.c1.a1', '24.c1.b1', '24.g1.a1', '204.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.e1.a1', 'projective_image': '144.159', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17907996
{'ambient': '4896.q', 'aut_centralizer_order': 48, 'aut_label': '12.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 48, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.b1.a1', '6.j1.a1', '6.j1.b1'], 'contains': ['24.d1.a1', '36.b1.a1', '204.f1.a1'], 'core': '12.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27914515440, 17720243870, 2189373760, 1436776530, 3626150290], 'label': '4896.q.12.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.f1.a1', 'normal_contained_in': ['4.e1.a1', '6.b1.a1'], 'normal_contains': ['24.d1.a1', '36.b1.a1', '204.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.f1.a1', 'projective_image': '12.4', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.4', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17907997
{'ambient': '4896.q', 'aut_centralizer_order': 48, 'aut_label': '12.g1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 48, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.b1.a1', '6.k1.a1', '6.k1.b1'], 'contains': ['24.d1.a1', '36.c1.a1', '204.g1.a1'], 'core': '12.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27914515440, 17720243870, 2189373760, 21620065657, 3626150290], 'label': '4896.q.12.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.g1.a1', 'normal_contained_in': ['4.f1.a1', '6.b1.a1'], 'normal_contains': ['24.d1.a1', '36.c1.a1', '204.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.g1.a1', 'projective_image': '24.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907998
{'ambient': '4896.q', 'aut_centralizer_order': 48, 'aut_label': '12.h1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 48, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.c1.a1', '6.e1.a1', '6.e1.b1'], 'contains': ['24.f1.a1', '36.b1.a1', '204.h1.a1'], 'core': '12.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 6362867418, 4105075772], 'label': '4896.q.12.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.h1.a1', 'normal_contained_in': ['4.e1.a1', '6.c1.a1', '6.e1.a1', '6.e1.b1'], 'normal_contains': ['24.f1.a1', '36.b1.a1', '204.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.h1.a1', 'projective_image': '36.12', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17907999
{'ambient': '4896.q', 'aut_centralizer_order': 48, 'aut_label': '12.i1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 48, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.c1.a1', '6.f1.a1', '6.f1.b1'], 'contains': ['24.f1.a1', '36.c1.a1', '204.i1.a1'], 'core': '12.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 21620065585, 4105075772], 'label': '4896.q.12.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.i1.a1', 'normal_contained_in': ['4.f1.a1', '6.c1.a1', '6.f1.a1', '6.f1.b1'], 'normal_contains': ['24.f1.a1', '36.c1.a1', '204.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.i1.a1', 'projective_image': '72.48', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.i1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17908000
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '12.j1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '384.14574', 'aut_weyl_index': 16, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '6.d1.a1', '6.e1.b1', '6.f1.a1'], 'contains': ['24.f1.a1', '36.g1.a1', '204.j1.a1'], 'core': '12.j1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 3550938, 4105075772], 'label': '4896.q.12.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.j1.a1', 'normal_contained_in': ['4.g1.a1', '6.d1.a1', '6.e1.b1', '6.f1.a1'], 'normal_contains': ['24.f1.a1', '204.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.j1.a1', 'projective_image': '72.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.j1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17908001
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '12.j1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '384.14574', 'aut_weyl_index': 16, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.b1', '6.d1.a1', '6.e1.a1', '6.f1.b1'], 'contains': ['24.f1.a1', '36.g1.b1', '204.j1.b1'], 'core': '12.j1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 19190689, 4105075772], 'label': '4896.q.12.j1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.j1.b1', 'normal_contained_in': ['4.g1.b1', '6.d1.a1', '6.e1.a1', '6.f1.b1'], 'normal_contains': ['24.f1.a1', '204.j1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.j1.b1', 'projective_image': '72.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.j1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17908002
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '12.k1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '768.322714', 'aut_weyl_index': 8, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '6.a1.a1'], 'contains': ['24.g1.a1', '24.h1.a1', '24.h1.b1', '36.h1.a1', '204.k1.a1'], 'core': '12.k1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 5377532, 17720243870, 24356782778, 23877857253], 'label': '4896.q.12.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.k1.a1', 'normal_contained_in': ['4.h1.a1', '6.a1.a1'], 'normal_contains': ['24.g1.a1', '24.h1.b1', '24.h1.a1', '204.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.k1.a1', 'projective_image': '144.159', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.k1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17908003
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 48, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.g1.a1'], 'contains': ['24.a1.a1', '24.j1.a1', '24.k1.a1', '36.d1.a1', '204.l1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 17720243870, 5366080, 3694568521, 3626150290], 'label': '4896.q.12.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.l1.a1', 'projective_image': '48.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17908004
{'ambient': '4896.q', 'aut_centralizer_order': 2, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1536.408494245', 'aut_weyl_index': 4, 'centralizer': '12.f1.a1', 'complements': ['2448.b1.a1', '2448.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.c1.b1', '4.e1.a1', '4.g1.a1', '6.e1.b1', '6.j1.b1', '34.d1.b1'], 'core': '2.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 2189373760, 1436776530, 24288364796, 167690], 'label': '4896.q.2.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.c1.b1', '4.e1.a1', '4.g1.a1', '6.e1.b1', '34.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.b1', 'projective_image': '12.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.d1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17908005
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 48, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1', '6.g1.a1'], 'contains': ['24.a1.a1', '24.j1.b1', '24.k1.b1', '36.d1.b1', '204.l1.b1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 17720243870, 3694568521, 3626150290, 167690], 'label': '4896.q.12.l1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.l1.b1', 'projective_image': '48.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17908006
{'ambient': '4896.q', 'aut_centralizer_order': 24, 'aut_label': '12.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 48, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.i1.a1'], 'contains': ['24.i1.a1', '24.l1.a1', '24.m1.a1', '36.a1.a1', '204.m1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24356782725, 4105076057, 27914515440, 17720243870, 24288364796], 'label': '4896.q.12.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '12.m1.a1', 'projective_image': '72.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.m1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17908007
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '12.n1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 48, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.g1.a1', '6.j1.a1', '6.k1.a1'], 'contains': ['24.d1.a1', '24.j1.a1', '24.k1.b1', '36.e1.a1', '204.n1.a1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 17720243870, 2189373760, 59552445, 3626150290], 'label': '4896.q.12.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.n1.a1', 'projective_image': '24.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.n1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17908008
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '12.n1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 48, 'centralizer': '6.j1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.b1', '6.g1.a1', '6.j1.b1', '6.k1.b1'], 'contains': ['24.d1.a1', '24.j1.b1', '24.k1.a1', '36.e1.b1', '204.n1.b1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 17720243870, 2189373760, 3626150290, 167690], 'label': '4896.q.12.n1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.n1.b1', 'projective_image': '24.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.n1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17908009
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '12.o1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '256.26417', 'aut_weyl_index': 24, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.g1.a1'], 'contains': ['24.e1.a1', '24.j1.a1', '24.j1.b1', '36.f1.a1', '204.o1.a1'], 'core': '24.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 6294449785, 17720243870, 3626150290, 167690], 'label': '4896.q.12.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.o1.a1', 'projective_image': '48.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.o1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17908010
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '12.p1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 48, 'centralizer': '6.j1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '6.h1.a1', '6.j1.b1', '6.k1.a1'], 'contains': ['24.d1.a1', '36.g1.a1', '204.p1.a1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 17720243870, 2189373760, 3521490, 3626150290], 'label': '4896.q.12.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.p1.a1', 'projective_image': '24.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.p1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17908011
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '12.p1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 48, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.b1', '6.h1.a1', '6.j1.a1', '6.k1.b1'], 'contains': ['24.d1.a1', '36.g1.b1', '204.p1.b1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [19078623, 27914515440, 17720243870, 2189373760, 3626150290], 'label': '4896.q.12.p1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.p1.b1', 'projective_image': '24.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.p1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17908012
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '12.q1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '256.26417', 'aut_weyl_index': 24, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '6.g1.a1'], 'contains': ['24.e1.a1', '24.k1.a1', '24.k1.b1', '36.h1.a1', '204.q1.a1'], 'core': '24.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 6294449785, 17720243870, 5366080, 3626150290], 'label': '4896.q.12.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '12.q1.a1', 'projective_image': '48.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.q1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17908013
{'ambient': '4896.q', 'aut_centralizer_order': 24, 'aut_label': '12.r1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 48, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.i1.a1'], 'contains': ['24.l1.a1', '36.b1.a1', '204.r1.a1'], 'core': '36.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4105076057, 6362867692, 27914515440, 17720243870, 24288364796], 'label': '4896.q.12.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '12.r1.a1', 'projective_image': '36.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.r1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17908014
{'ambient': '4896.q', 'aut_centralizer_order': 24, 'aut_label': '12.s1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 48, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.i1.a1'], 'contains': ['24.l1.a1', '36.c1.a1', '204.s1.a1'], 'core': '36.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4105076057, 26546156747, 27914515440, 17720243870, 24288364796], 'label': '4896.q.12.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '12.s1.a1', 'projective_image': '72.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.s1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17908015
{'ambient': '4896.q', 'aut_centralizer_order': 2, 'aut_label': '2.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1536.408494245', 'aut_weyl_index': 4, 'centralizer': '12.f1.a1', 'complements': ['2448.b1.a1', '2448.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.c1.a1', '4.f1.a1', '4.g1.a1', '6.f1.a1', '6.k1.a1', '34.e1.a1'], 'core': '2.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 2189373760, 59552445, 24288364796, 3521490], 'label': '4896.q.2.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.c1.a1', '4.f1.a1', '4.g1.a1', '6.f1.a1', '34.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.e1.a1', 'projective_image': '24.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.e1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17908016
{'ambient': '4896.q', 'aut_centralizer_order': 96, 'aut_label': '16.a1', 'aut_quo_index': 48, 'aut_stab_index': 1, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.b1.b1', '8.c1.a1', '8.d1.a1', '8.e1.a1', '8.e1.b1'], 'contains': ['32.a1.a1', '48.a1.a1', '48.b1.a1', '48.c1.a1', '272.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 24288364796], 'label': '4896.q.16.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1', '8.b1.a1', '8.b1.b1', '8.c1.a1', '8.d1.a1', '8.e1.b1', '8.e1.a1'], 'normal_contains': ['32.a1.a1', '48.a1.a1', '48.b1.a1', '272.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '48.35', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17908017
{'ambient': '4896.q', 'aut_centralizer_order': 48, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1'], 'contains': ['32.a1.a1', '48.d1.a1', '48.e1.a1', '48.f1.a1', '48.f1.b1', '272.b1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24356782725, 24288364848, 12246809371, 24288364796], 'label': '4896.q.16.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.b1.a1', 'projective_image': '96.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17908018
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '192.458', 'aut_weyl_index': 32, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1'], 'contains': ['32.a1.a1', '48.g1.a1', '48.h1.a1', '272.c1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24288364848, 12246809371, 58394157, 24288364796], 'label': '4896.q.16.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '16.c1.a1', 'projective_image': '96.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
-
id: 17908019
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '192.458', 'aut_weyl_index': 32, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.b1'], 'contains': ['32.a1.a1', '48.g1.b1', '48.h1.b1', '272.c1.b1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24288364848, 12246809371, 24288364796, 167690], 'label': '4896.q.16.c1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '16.c1.b1', 'projective_image': '96.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
-
id: 17908020
{'ambient': '4896.q', 'aut_centralizer_order': 16, 'aut_label': '17.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '384.20133', 'aut_weyl_index': 16, 'centralizer': '12.f1.a1', 'complements': ['288.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['34.a1.a1', '34.b1.a1', '34.c1.a1', '34.d1.a1', '34.d1.b1', '34.e1.a1', '34.e1.b1', '51.a1.a1', '51.b1.a1'], 'core': '17.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24356782725, 24288364848, 8004897810, 24356782778, 24288364796, 167690, 13136242560], 'label': '4896.q.17.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '17.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['34.a1.a1', '34.b1.a1', '34.c1.a1', '34.d1.a1', '34.d1.b1', '34.e1.a1', '34.e1.b1', '51.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '17.a1.a1', 'projective_image': '204.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '17.1', 'quotient_action_kernel_order': 17, 'quotient_fusion': None, 'short_label': '17.a1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17908021
{'ambient': '4896.q', 'aut_centralizer_order': 48, 'aut_label': '18.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 48, 'centralizer': '2.b1.a1', 'complements': ['272.c1.b1', '272.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '6.c1.a1', '6.i1.a1', '9.a1.a1'], 'contains': ['36.a1.a1', '36.b1.a1', '36.c1.a1', '306.a1.a1'], 'core': '18.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [21688483810, 20183289350, 27914515440, 17720243870, 27914515033], 'label': '4896.q.18.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '18.a1.a1', 'normal_contained_in': ['6.b1.a1', '6.c1.a1'], 'normal_contains': ['36.a1.a1', '36.b1.a1', '36.c1.a1', '306.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '18.a1.a1', 'projective_image': '36.12', 'quotient_action_image': '2.1', 'quotient_action_kernel': '9.2', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '18.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17908022
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '18.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '256.26417', 'aut_weyl_index': 24, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '6.g1.a1', '9.a1.a1'], 'contains': ['36.a1.a1', '36.d1.a1', '36.d1.b1', '36.e1.a1', '36.e1.b1', '36.f1.a1', '36.h1.a1', '306.b1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [21688483810, 27914515440, 17720243870, 27914515033, 167690], 'label': '4896.q.18.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '18.b1.a1', 'projective_image': '72.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17908023
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '18.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '256.26417', 'aut_weyl_index': 24, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.d1.a1', '6.h1.a1', '9.a1.a1'], 'contains': ['36.a1.a1', '36.g1.a1', '36.g1.b1', '306.c1.a1'], 'core': '36.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [21688483810, 27914515440, 17720243870, 27914515033, 3550938], 'label': '4896.q.18.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '18.c1.a1', 'projective_image': '72.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17908024
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '18.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 48, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.e1.a1', '6.j1.a1', '9.a1.a1'], 'contains': ['36.b1.a1', '36.e1.a1', '36.g1.b1', '306.d1.a1'], 'core': '36.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [21688483810, 20183289350, 27914515440, 17720243870, 59697231], 'label': '4896.q.18.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '18.d1.a1', 'projective_image': '36.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17908025
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '18.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 48, 'centralizer': '6.j1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.e1.b1', '6.j1.b1', '9.a1.a1'], 'contains': ['36.b1.a1', '36.e1.b1', '36.g1.a1', '306.d1.b1'], 'core': '36.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [21688483810, 20183289350, 27914515440, 17720243870, 167690], 'label': '4896.q.18.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '18.d1.b1', 'projective_image': '36.12', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17908026
{'ambient': '4896.q', 'aut_centralizer_order': 2, 'aut_label': '2.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1536.408494245', 'aut_weyl_index': 4, 'centralizer': '12.f1.a1', 'complements': ['2448.b1.a1', '2448.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.c1.b1', '4.f1.a1', '4.g1.b1', '6.f1.b1', '6.k1.b1', '34.e1.b1'], 'core': '2.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 7799643927, 17720243870, 24356782778, 2189373760, 24288364796, 167690], 'label': '4896.q.2.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.c1.b1', '4.f1.a1', '4.g1.b1', '6.f1.b1', '34.e1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.e1.b1', 'projective_image': '24.14', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.e1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17908027
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '18.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 48, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.f1.a1', '6.k1.a1', '9.a1.a1'], 'contains': ['36.c1.a1', '36.e1.a1', '36.g1.a1', '306.e1.a1'], 'core': '36.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [21688483810, 27914515440, 17720243870, 59697231, 15565722], 'label': '4896.q.18.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '18.e1.a1', 'projective_image': '72.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.e1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17908028
{'ambient': '4896.q', 'aut_centralizer_order': 8, 'aut_label': '18.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2136', 'aut_weyl_index': 48, 'centralizer': '12.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.f1.b1', '6.k1.b1', '9.a1.a1'], 'contains': ['36.c1.a1', '36.e1.b1', '36.g1.b1', '306.e1.b1'], 'core': '36.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [21688483810, 27914515440, 17720243870, 7799644201, 167690], 'label': '4896.q.18.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '18.e1.b1', 'projective_image': '72.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.e1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 17908029
{'ambient': '4896.q', 'aut_centralizer_order': 96, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.b1.a1', '12.l1.a1', '12.l1.b1'], 'contains': ['48.a1.a1', '48.d1.a1', '72.a1.a1', '408.a1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27914515440, 17720243870, 3694568521, 3626150290], 'label': '4896.q.24.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.b1.a1'], 'normal_contains': ['48.a1.a1', '72.a1.a1', '408.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '48.35', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17908030
{'ambient': '4896.q', 'aut_centralizer_order': 96, 'aut_label': '24.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1', '12.a1.b1', '12.c1.a1'], 'contains': ['48.b1.a1', '48.e1.a1', '72.a1.a1', '408.b1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 27914515033], 'label': '4896.q.24.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1', '12.a1.b1', '12.c1.a1'], 'normal_contains': ['48.b1.a1', '72.a1.a1', '408.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.a1', 'projective_image': '144.159', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17908031
{'ambient': '4896.q', 'aut_centralizer_order': 16, 'aut_label': '24.c1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '192.458', 'aut_weyl_index': 32, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.a1.a1', '12.d1.a1', '12.e1.a1'], 'contains': ['48.b1.a1', '48.h1.a1', '72.d1.a1', '408.c1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 58394157], 'label': '4896.q.24.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': ['8.b1.a1', '12.a1.a1', '12.d1.a1', '12.e1.a1'], 'normal_contains': ['48.b1.a1', '408.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.c1.a1', 'projective_image': '144.159', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17908032
{'ambient': '4896.q', 'aut_centralizer_order': 16, 'aut_label': '24.c1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '192.458', 'aut_weyl_index': 32, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.b1', '12.a1.b1', '12.d1.b1', '12.e1.a1'], 'contains': ['48.b1.a1', '48.h1.b1', '72.d1.b1', '408.c1.b1'], 'core': '24.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 167690], 'label': '4896.q.24.c1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.b1', 'normal_contained_in': ['8.b1.b1', '12.a1.b1', '12.d1.b1', '12.e1.a1'], 'normal_contains': ['48.b1.a1', '408.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.c1.b1', 'projective_image': '144.159', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17908033
{'ambient': '4896.q', 'aut_centralizer_order': 96, 'aut_label': '24.d1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.b1.a1', '12.f1.a1', '12.g1.a1', '12.n1.a1', '12.n1.b1', '12.p1.a1', '12.p1.b1'], 'contains': ['48.a1.a1', '72.b1.a1', '408.d1.a1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27914515440, 17720243870, 2189373760, 3626150290], 'label': '4896.q.24.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': ['8.c1.a1', '12.b1.a1', '12.f1.a1', '12.g1.a1'], 'normal_contains': ['48.a1.a1', '72.b1.a1', '408.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.d1.a1', 'projective_image': '24.14', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.14', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17908034
{'ambient': '4896.q', 'aut_centralizer_order': 96, 'aut_label': '24.e1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.b1.a1', '12.o1.a1', '12.q1.a1'], 'contains': ['48.a1.a1', '72.c1.a1', '408.e1.a1'], 'core': '24.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27914515440, 6294449785, 17720243870, 3626150290], 'label': '4896.q.24.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': ['8.d1.a1', '12.b1.a1'], 'normal_contains': ['48.a1.a1', '72.c1.a1', '408.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.e1.a1', 'projective_image': '48.35', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17908035
{'ambient': '4896.q', 'aut_centralizer_order': 96, 'aut_label': '24.f1', 'aut_quo_index': 84, 'aut_stab_index': 1, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.c1.a1', '12.d1.a1', '12.d1.b1', '12.h1.a1', '12.i1.a1', '12.j1.a1', '12.j1.b1'], 'contains': ['48.b1.a1', '72.b1.a1', '408.f1.a1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 4105075772], 'label': '4896.q.24.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.a1', 'normal_contained_in': ['8.c1.a1', '12.c1.a1', '12.d1.a1', '12.d1.b1', '12.h1.a1', '12.i1.a1', '12.j1.b1', '12.j1.a1'], 'normal_contains': ['48.b1.a1', '72.b1.a1', '408.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.f1.a1', 'projective_image': '72.48', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17908036
{'ambient': '4896.q', 'aut_centralizer_order': 96, 'aut_label': '24.g1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.c1.a1', '12.e1.a1', '12.k1.a1'], 'contains': ['48.b1.a1', '72.c1.a1', '408.g1.a1'], 'core': '24.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 23877857253], 'label': '4896.q.24.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1.a1', 'normal_contained_in': ['8.d1.a1', '12.c1.a1', '12.e1.a1', '12.k1.a1'], 'normal_contains': ['48.b1.a1', '72.c1.a1', '408.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.g1.a1', 'projective_image': '144.159', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17908037
{'ambient': '4896.q', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '12.f1.a1', 'complements': ['1632.a1.a1', '1632.c1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.c1.a1', '6.d1.a1', '6.e1.a1', '6.e1.b1', '6.f1.a1', '6.f1.b1', '9.a1.a1', '51.a1.a1'], 'core': '3.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 27914515033, 4105075772, 167690, 24356782778, 6362867418, 17720243870], 'label': '4896.q.3.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['6.a1.a1', '6.c1.a1', '6.d1.a1', '6.e1.a1', '6.e1.b1', '6.f1.a1', '6.f1.b1', '51.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '36.12', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17908038
{'ambient': '4896.q', 'aut_centralizer_order': 16, 'aut_label': '24.h1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '192.458', 'aut_weyl_index': 32, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '12.a1.a1', '12.d1.b1', '12.k1.a1'], 'contains': ['48.b1.a1', '72.e1.a1', '408.h1.a1'], 'core': '24.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 5377532, 17720243870, 24356782778], 'label': '4896.q.24.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.a1', 'normal_contained_in': ['8.e1.a1', '12.a1.a1', '12.d1.b1', '12.k1.a1'], 'normal_contains': ['48.b1.a1', '408.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.h1.a1', 'projective_image': '144.159', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17908039
{'ambient': '4896.q', 'aut_centralizer_order': 16, 'aut_label': '24.h1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '192.458', 'aut_weyl_index': 32, 'centralizer': '12.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '12.a1.b1', '12.d1.a1', '12.k1.a1'], 'contains': ['48.b1.a1', '72.e1.b1', '408.h1.b1'], 'core': '24.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 17720243870, 24356782778, 59697231], 'label': '4896.q.24.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.b1', 'normal_contained_in': ['8.e1.b1', '12.a1.b1', '12.d1.a1', '12.k1.a1'], 'normal_contains': ['48.b1.a1', '408.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.h1.b1', 'projective_image': '144.159', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 17908040
{'ambient': '4896.q', 'aut_centralizer_order': 48, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.m1.a1'], 'contains': ['48.c1.a1', '48.f1.a1', '48.f1.b1', '72.a1.a1', '408.i1.a1'], 'core': '72.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24356782725, 27914515440, 17720243870, 24288364796], 'label': '4896.q.24.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.i1.a1', 'projective_image': '144.159', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17908041
{'ambient': '4896.q', 'aut_centralizer_order': 16, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.l1.a1', '12.n1.a1', '12.o1.a1'], 'contains': ['48.a1.a1', '48.g1.a1', '72.d1.a1', '408.j1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 17720243870, 58394157, 3626150290], 'label': '4896.q.24.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '24.j1.a1', 'projective_image': '48.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17908042
{'ambient': '4896.q', 'aut_centralizer_order': 16, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '6.j1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.b1', '12.l1.b1', '12.n1.b1', '12.o1.a1'], 'contains': ['48.a1.a1', '48.g1.b1', '72.d1.b1', '408.j1.b1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 17720243870, 3626150290, 167690], 'label': '4896.q.24.j1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '24.j1.b1', 'projective_image': '48.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17908043
{'ambient': '4896.q', 'aut_centralizer_order': 16, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '6.j1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '12.l1.a1', '12.n1.b1', '12.q1.a1'], 'contains': ['48.a1.a1', '72.e1.a1', '408.k1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 17720243870, 5366080, 3626150290], 'label': '4896.q.24.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '24.k1.a1', 'projective_image': '48.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17908044
{'ambient': '4896.q', 'aut_centralizer_order': 16, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '6.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '12.l1.b1', '12.n1.a1', '12.q1.a1'], 'contains': ['48.a1.a1', '72.e1.b1', '408.k1.b1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [27914515440, 17720243870, 59552445, 3626150290], 'label': '4896.q.24.k1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1.a1', 'old_label': '24.k1.b1', 'projective_image': '48.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 17908045
{'ambient': '4896.q', 'aut_centralizer_order': 48, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.m1.a1', '12.r1.a1', '12.s1.a1'], 'contains': ['48.c1.a1', '72.b1.a1', '408.l1.a1'], 'core': '72.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4105076057, 27914515440, 17720243870, 24288364796], 'label': '4896.q.24.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.l1.a1', 'projective_image': '72.48', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17908046
{'ambient': '4896.q', 'aut_centralizer_order': 48, 'aut_label': '24.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.m1.a1'], 'contains': ['48.c1.a1', '72.c1.a1', '408.m1.a1'], 'core': '72.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27914515440, 6294449785, 17720243870, 24288364796], 'label': '4896.q.24.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.m1.a1', 'projective_image': '144.159', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.m1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 17908047
{'ambient': '4896.q', 'aut_centralizer_order': 96, 'aut_label': '32.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '64.183', 'aut_weyl_index': 96, 'centralizer': '2.b1.a1', 'complements': ['153.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '16.c1.b1'], 'contains': ['96.a1.a1', '96.b1.a1', '96.c1.a1', '544.a1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24288364848, 12246809371, 24288364796], 'label': '4896.q.32.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['96.a1.a1', '96.b1.a1', '544.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '96.108', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
