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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '200.52', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 220, 'aut_gen_orders': [20, 10, 44, 110, 20, 20, 10], 'aut_gens': [[1, 10, 220], [34021, 16250, 47740], [37121, 43410, 8580], [40941, 31655, 12220], [43681, 12770, 12980], [17301, 6530, 23980], [28261, 43675, 21980], [18541, 23050, 6820]], 'aut_group': None, 'aut_hash': 9002056612195110899, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 7744000, 'aut_permdeg': 693, 'aut_perms': 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'aut_phi_ratio': 440.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 121, 2, 1], [4, 2, 1, 1], [4, 22, 4, 1], [4, 242, 1, 1], [5, 1, 4, 1], [5, 121, 5, 4], [10, 1, 4, 1], [10, 121, 5, 4], [10, 121, 8, 1], [10, 121, 10, 4], [11, 10, 2, 1], [11, 20, 5, 1], [20, 2, 4, 1], [20, 22, 16, 1], [20, 242, 4, 1], [20, 242, 5, 8], [20, 242, 20, 4], [22, 10, 2, 1], [22, 20, 5, 1], [44, 20, 2, 1], [44, 20, 10, 1], [44, 220, 4, 1], [55, 10, 8, 1], [55, 20, 20, 1], [110, 10, 8, 1], [110, 20, 20, 1], [220, 20, 8, 1], [220, 20, 40, 1], [220, 220, 16, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_{11}^2.C_{10}^2.C_{10}.C_2^6', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 20, 'autcent_group': '160.236', 'autcent_hash': 236, 'autcent_nilpotent': False, 'autcent_order': 160, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3\\times F_5', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 220, 'autcentquo_group': '48400.l', 'autcentquo_hash': 3341594860267235989, 'autcentquo_nilpotent': False, 'autcentquo_order': 48400, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'F_{11}^2:C_2^2', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 121, 2], [4, 2, 1], [4, 22, 4], [4, 242, 1], [5, 1, 4], [5, 121, 20], [10, 1, 4], [10, 121, 68], [11, 10, 2], [11, 20, 5], [20, 2, 4], [20, 22, 16], [20, 242, 124], [22, 10, 2], [22, 20, 5], [44, 20, 12], [44, 220, 4], [55, 10, 8], [55, 20, 20], [110, 10, 8], [110, 20, 20], [220, 20, 48], [220, 220, 16]], 'center_label': '10.2', 'center_order': 10, 'central_product': True, 'central_quotient': '4840.y', 'commutator_count': 1, 'commutator_label': '242.5', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '5.1', '5.1', '11.1', '11.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 10, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['5.1', 1], ['9680.p', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 121, 1, 2], [4, 2, 1, 1], [4, 22, 1, 4], [4, 242, 1, 1], [5, 1, 4, 1], [5, 121, 4, 5], [10, 1, 4, 1], [10, 121, 4, 17], [11, 10, 1, 2], [11, 20, 1, 5], [20, 2, 4, 1], [20, 22, 4, 4], [20, 242, 4, 31], [22, 10, 1, 2], [22, 20, 1, 5], [44, 20, 1, 2], [44, 20, 2, 5], [44, 220, 1, 4], [55, 10, 4, 2], [55, 20, 4, 5], [110, 10, 4, 2], [110, 20, 4, 5], [220, 20, 4, 2], [220, 20, 8, 5], [220, 220, 4, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 4499712, 'exponent': 220, 'exponents_of_order': [4, 2, 2], 'factors_of_aut_order': [2, 5, 11], 'factors_of_order': [2, 5, 11], 'faithful_reps': [[20, 0, 40]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '24200.bb', 'hash': 4834653770333006103, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 110, 'inner_gen_orders': [10, 22, 22], 'inner_gens': [[1, 41490, 22220], [2301, 10, 28820], [26401, 19810, 220]], 'inner_hash': 4409101876861599779, 'inner_nilpotent': False, 'inner_order': 4840, 'inner_split': False, 'inner_tex': 'D_{22}:F_{11}', 'inner_used': [1, 2, 3], 'irrC_degree': 20, 'irrQ_degree': 160, 'irrQ_dim': 160, 'irrR_degree': 40, 'irrep_stats': [[1, 200], [2, 50], [10, 40], [20, 110]], 'label': '48400.j', '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': 'C55:(Q8*F11)', 'ngens': 8, '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, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 50, 'number_characteristic_subgroups': 27, 'number_conjugacy_classes': 400, 'number_divisions': 120, 'number_normal_subgroups': 182, 'number_subgroup_autclasses': 180, 'number_subgroup_classes': 928, 'number_subgroups': 26048, 'old_label': None, 'order': 48400, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 243], [4, 332], [5, 2424], [10, 8232], [11, 120], [20, 30368], [22, 120], [44, 1120], [55, 480], [110, 480], [220, 4480]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 20, 'outer_gen_orders': [2, 2, 4, 10, 10], 'outer_gen_pows': [8, 31463, 8, 0, 31460], 'outer_gens': [[24201, 23050, 37620], [24201, 375, 41180], [4841, 41870, 8140], [24201, 950, 15620], [43561, 37770, 35420]], 'outer_group': '1600.10270', 'outer_hash': 10270, 'outer_nilpotent': False, 'outer_order': 1600, 'outer_permdeg': 16, 'outer_perms': [720, 87657292800, 7983370, 2622058427520, 11652576], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_{10}^2:C_4', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 35, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 5, 5], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 2], [4, 48], [8, 12], [10, 8], [20, 12], [40, 13], [80, 12], [160, 5]], 'representations': {'PC': {'code': '7448159017964649280210462135800156879979719781823346485195202299980745229619171587194770804638552974022515084503090039', 'gens': [1, 3, 5], 'pres': [8, -2, -5, -2, -11, -2, -2, -5, -11, 16, 995762, 387250, 66, 1395203, 543371, 7771, 888804, 356412, 115300, 116, 2133125, 855373, 44373, 141, 2266886, 640654, 103510, 334, 563207, 563215, 281623]}, 'GLFp': {'d': 4, 'p': 11, 'gens': [12531822321003912, 19172920764866308, 32892940274777495, 10886754631083510, 6475832249954295, 33418192856010432, 41628676495383410, 23726635956891084]}, 'Perm': {'d': 35, 'gens': [33, 44241577878396196997079087499778684913, 486985713, 313134520945894831102656125649599539200, 618129183500240293440253351151599104064, 938653834500120482147476612647429084000, 1243367581730349012014431516879132416000, 1547820794698224140158192228323836874993]}}, 'schur_multiplier': [2, 10], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 10, 10], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{55}:(Q_8\\times F_{11})', 'transitive_degree': 440, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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-
id: 110445996
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 10, 'group_order': 48400, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
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id: 110446107
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 10, 'group_order': 48400, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 24200, 'size': 1}
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id: 110446218
{'aut_label': '2B', 'centralizer': '121.a1', 'counter': 3, 'group_counter': 10, 'group_order': 48400, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 5, 'size': 121}
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id: 110446329
{'aut_label': '2B', 'centralizer': '121.a1', 'counter': 4, 'group_counter': 10, 'group_order': 48400, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 33005, 'size': 121}
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id: 110446341
{'aut_label': '4A', 'centralizer': '2.a1', 'counter': 5, 'group_counter': 10, 'group_order': 48400, 'label': '4A', 'order': 4, 'powers': [2, 5, 5], 'representative': 12100, 'size': 2}
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id: 110446352
{'aut_label': '4B', 'centralizer': '22.c1', 'counter': 6, 'group_counter': 10, 'group_order': 48400, 'label': '4B', 'order': 4, 'powers': [2, 6, 6], 'representative': 9790, 'size': 22}
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id: 110446363
{'aut_label': '4B', 'centralizer': '22.c1', 'counter': 7, 'group_counter': 10, 'group_order': 48400, 'label': '4C', 'order': 4, 'powers': [2, 7, 7], 'representative': 19690, 'size': 22}
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id: 110446374
{'aut_label': '4B', 'centralizer': '22.c1', 'counter': 8, 'group_counter': 10, 'group_order': 48400, 'label': '4D', 'order': 4, 'powers': [2, 8, 8], 'representative': 11895, 'size': 22}
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id: 110446385
{'aut_label': '4B', 'centralizer': '22.c1', 'counter': 9, 'group_counter': 10, 'group_order': 48400, 'label': '4E', 'order': 4, 'powers': [2, 9, 9], 'representative': 48195, 'size': 22}
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id: 110445997
{'aut_label': '4F', 'centralizer': '242.a1', 'counter': 10, 'group_counter': 10, 'group_order': 48400, 'label': '4F', 'order': 4, 'powers': [2, 10, 10], 'representative': 45105, 'size': 242}
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id: 110446008
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 11, 'group_counter': 10, 'group_order': 48400, 'label': '5A1', 'order': 5, 'powers': [13, 1, 11], 'representative': 19360, 'size': 1}
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id: 110446019
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 12, 'group_counter': 10, 'group_order': 48400, 'label': '5A-1', 'order': 5, 'powers': [14, 1, 12], 'representative': 29040, 'size': 1}
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id: 110446030
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 13, 'group_counter': 10, 'group_order': 48400, 'label': '5A2', 'order': 5, 'powers': [12, 1, 13], 'representative': 38720, 'size': 1}
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id: 110446041
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 14, 'group_counter': 10, 'group_order': 48400, 'label': '5A-2', 'order': 5, 'powers': [11, 1, 14], 'representative': 9680, 'size': 1}
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id: 110446052
{'aut_label': '5B1', 'centralizer': '121.a1', 'counter': 15, 'group_counter': 10, 'group_order': 48400, 'label': '5B1', 'order': 5, 'powers': [17, 1, 15], 'representative': 2, 'size': 121}
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id: 110446063
{'aut_label': '5B-1', 'centralizer': '121.a1', 'counter': 16, 'group_counter': 10, 'group_order': 48400, 'label': '5B-1', 'order': 5, 'powers': [18, 1, 16], 'representative': 8, 'size': 121}
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id: 110446074
{'aut_label': '5B2', 'centralizer': '121.a1', 'counter': 17, 'group_counter': 10, 'group_order': 48400, 'label': '5B2', 'order': 5, 'powers': [16, 1, 17], 'representative': 4, 'size': 121}
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id: 110446085
{'aut_label': '5B-2', 'centralizer': '121.a1', 'counter': 18, 'group_counter': 10, 'group_order': 48400, 'label': '5B-2', 'order': 5, 'powers': [15, 1, 18], 'representative': 6, 'size': 121}
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id: 110446096
{'aut_label': '5B1', 'centralizer': '121.a1', 'counter': 19, 'group_counter': 10, 'group_order': 48400, 'label': '5C1', 'order': 5, 'powers': [21, 1, 19], 'representative': 41362, 'size': 121}
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id: 110446108
{'aut_label': '5B-1', 'centralizer': '121.a1', 'counter': 20, 'group_counter': 10, 'group_order': 48400, 'label': '5C-1', 'order': 5, 'powers': [22, 1, 20], 'representative': 11448, 'size': 121}
-
id: 110446119
{'aut_label': '5B2', 'centralizer': '121.a1', 'counter': 21, 'group_counter': 10, 'group_order': 48400, 'label': '5C2', 'order': 5, 'powers': [20, 1, 21], 'representative': 3524, 'size': 121}
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id: 110446130
{'aut_label': '5B-2', 'centralizer': '121.a1', 'counter': 22, 'group_counter': 10, 'group_order': 48400, 'label': '5C-2', 'order': 5, 'powers': [19, 1, 22], 'representative': 36086, 'size': 121}
-
id: 110446141
{'aut_label': '5B1', 'centralizer': '121.a1', 'counter': 23, 'group_counter': 10, 'group_order': 48400, 'label': '5D1', 'order': 5, 'powers': [25, 1, 23], 'representative': 44882, 'size': 121}
-
id: 110446152
{'aut_label': '5B-1', 'centralizer': '121.a1', 'counter': 24, 'group_counter': 10, 'group_order': 48400, 'label': '5D-1', 'order': 5, 'powers': [26, 1, 24], 'representative': 29928, 'size': 121}
-
id: 110446163
{'aut_label': '5B2', 'centralizer': '121.a1', 'counter': 25, 'group_counter': 10, 'group_order': 48400, 'label': '5D2', 'order': 5, 'powers': [24, 1, 25], 'representative': 1764, 'size': 121}
-
id: 110446174
{'aut_label': '5B-2', 'centralizer': '121.a1', 'counter': 26, 'group_counter': 10, 'group_order': 48400, 'label': '5D-2', 'order': 5, 'powers': [23, 1, 26], 'representative': 42246, 'size': 121}
-
id: 110446185
{'aut_label': '5B1', 'centralizer': '121.a1', 'counter': 27, 'group_counter': 10, 'group_order': 48400, 'label': '5E1', 'order': 5, 'powers': [29, 1, 27], 'representative': 34322, 'size': 121}
-
id: 110446196
{'aut_label': '5B-1', 'centralizer': '121.a1', 'counter': 28, 'group_counter': 10, 'group_order': 48400, 'label': '5E-1', 'order': 5, 'powers': [30, 1, 28], 'representative': 22888, 'size': 121}
-
id: 110446207
{'aut_label': '5B2', 'centralizer': '121.a1', 'counter': 29, 'group_counter': 10, 'group_order': 48400, 'label': '5E2', 'order': 5, 'powers': [28, 1, 29], 'representative': 7044, 'size': 121}
-
id: 110446219
{'aut_label': '5B-2', 'centralizer': '121.a1', 'counter': 30, 'group_counter': 10, 'group_order': 48400, 'label': '5E-2', 'order': 5, 'powers': [27, 1, 30], 'representative': 23766, 'size': 121}
-
id: 110446230
{'aut_label': '5B1', 'centralizer': '121.a1', 'counter': 31, 'group_counter': 10, 'group_order': 48400, 'label': '5F1', 'order': 5, 'powers': [33, 1, 31], 'representative': 34062, 'size': 121}
-
id: 110446241
{'aut_label': '5B-1', 'centralizer': '121.a1', 'counter': 32, 'group_counter': 10, 'group_order': 48400, 'label': '5F-1', 'order': 5, 'powers': [34, 1, 32], 'representative': 38848, 'size': 121}
-
id: 110446252
{'aut_label': '5B2', 'centralizer': '121.a1', 'counter': 33, 'group_counter': 10, 'group_order': 48400, 'label': '5F2', 'order': 5, 'powers': [32, 1, 33], 'representative': 4864, 'size': 121}
-
id: 110446263
{'aut_label': '5B-2', 'centralizer': '121.a1', 'counter': 34, 'group_counter': 10, 'group_order': 48400, 'label': '5F-2', 'order': 5, 'powers': [31, 1, 34], 'representative': 29086, 'size': 121}
-
id: 110446274
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 35, 'group_counter': 10, 'group_order': 48400, 'label': '10A1', 'order': 10, 'powers': [14, 2, 35], 'representative': 4840, 'size': 1}
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id: 110446285
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 36, 'group_counter': 10, 'group_order': 48400, 'label': '10A-1', 'order': 10, 'powers': [13, 2, 36], 'representative': 43560, 'size': 1}
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id: 110446296
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 37, 'group_counter': 10, 'group_order': 48400, 'label': '10A3', 'order': 10, 'powers': [12, 2, 37], 'representative': 14520, 'size': 1}
-
id: 110446307
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 38, 'group_counter': 10, 'group_order': 48400, 'label': '10A-3', 'order': 10, 'powers': [11, 2, 38], 'representative': 33880, 'size': 1}
-
id: 110446318
{'aut_label': '10B1', 'centralizer': '121.a1', 'counter': 39, 'group_counter': 10, 'group_order': 48400, 'label': '10B1', 'order': 10, 'powers': [15, 3, 39], 'representative': 1, 'size': 121}
-
id: 110446330
{'aut_label': '10B-1', 'centralizer': '121.a1', 'counter': 40, 'group_counter': 10, 'group_order': 48400, 'label': '10B-1', 'order': 10, 'powers': [16, 3, 40], 'representative': 9, 'size': 121}
-
id: 110446332
{'aut_label': '10B3', 'centralizer': '121.a1', 'counter': 41, 'group_counter': 10, 'group_order': 48400, 'label': '10B3', 'order': 10, 'powers': [18, 3, 41], 'representative': 3, 'size': 121}
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id: 110446333
{'aut_label': '10B-3', 'centralizer': '121.a1', 'counter': 42, 'group_counter': 10, 'group_order': 48400, 'label': '10B-3', 'order': 10, 'powers': [17, 3, 42], 'representative': 7, 'size': 121}
-
id: 110446334
{'aut_label': '10B1', 'centralizer': '121.a1', 'counter': 43, 'group_counter': 10, 'group_order': 48400, 'label': '10C1', 'order': 10, 'powers': [19, 3, 43], 'representative': 881, 'size': 121}
-
id: 110446335
{'aut_label': '10B-1', 'centralizer': '121.a1', 'counter': 44, 'group_counter': 10, 'group_order': 48400, 'label': '10C-1', 'order': 10, 'powers': [20, 3, 44], 'representative': 3529, 'size': 121}
-
id: 110446336
{'aut_label': '10B3', 'centralizer': '121.a1', 'counter': 45, 'group_counter': 10, 'group_order': 48400, 'label': '10C3', 'order': 10, 'powers': [22, 3, 45], 'representative': 2643, 'size': 121}
-
id: 110446337
{'aut_label': '10B-3', 'centralizer': '121.a1', 'counter': 46, 'group_counter': 10, 'group_order': 48400, 'label': '10C-3', 'order': 10, 'powers': [21, 3, 46], 'representative': 1767, 'size': 121}
-
id: 110446338
{'aut_label': '10B1', 'centralizer': '121.a1', 'counter': 47, 'group_counter': 10, 'group_order': 48400, 'label': '10D1', 'order': 10, 'powers': [23, 4, 47], 'representative': 441, 'size': 121}
-
id: 110446339
{'aut_label': '10B-1', 'centralizer': '121.a1', 'counter': 48, 'group_counter': 10, 'group_order': 48400, 'label': '10D-1', 'order': 10, 'powers': [24, 4, 48], 'representative': 189, 'size': 121}
-
id: 110446340
{'aut_label': '10B3', 'centralizer': '121.a1', 'counter': 49, 'group_counter': 10, 'group_order': 48400, 'label': '10D3', 'order': 10, 'powers': [26, 4, 49], 'representative': 63, 'size': 121}
-
id: 110446342
{'aut_label': '10B-3', 'centralizer': '121.a1', 'counter': 50, 'group_counter': 10, 'group_order': 48400, 'label': '10D-3', 'order': 10, 'powers': [25, 4, 50], 'representative': 147, 'size': 121}
-
id: 110446343
{'aut_label': '10B1', 'centralizer': '121.a1', 'counter': 51, 'group_counter': 10, 'group_order': 48400, 'label': '10E1', 'order': 10, 'powers': [27, 3, 51], 'representative': 1761, 'size': 121}
-
id: 110446344
{'aut_label': '10B-1', 'centralizer': '121.a1', 'counter': 52, 'group_counter': 10, 'group_order': 48400, 'label': '10E-1', 'order': 10, 'powers': [28, 3, 52], 'representative': 2649, 'size': 121}
-
id: 110446345
{'aut_label': '10B3', 'centralizer': '121.a1', 'counter': 53, 'group_counter': 10, 'group_order': 48400, 'label': '10E3', 'order': 10, 'powers': [30, 3, 53], 'representative': 883, 'size': 121}
-
id: 110446346
{'aut_label': '10B-3', 'centralizer': '121.a1', 'counter': 54, 'group_counter': 10, 'group_order': 48400, 'label': '10E-3', 'order': 10, 'powers': [29, 3, 54], 'representative': 3527, 'size': 121}
-
id: 110446347
{'aut_label': '10B1', 'centralizer': '121.a1', 'counter': 55, 'group_counter': 10, 'group_order': 48400, 'label': '10F1', 'order': 10, 'powers': [23, 3, 55], 'representative': 2641, 'size': 121}
-
id: 110446348
{'aut_label': '10B-1', 'centralizer': '121.a1', 'counter': 56, 'group_counter': 10, 'group_order': 48400, 'label': '10F-1', 'order': 10, 'powers': [24, 3, 56], 'representative': 1769, 'size': 121}
-
id: 110446349
{'aut_label': '10B3', 'centralizer': '121.a1', 'counter': 57, 'group_counter': 10, 'group_order': 48400, 'label': '10F3', 'order': 10, 'powers': [26, 3, 57], 'representative': 3523, 'size': 121}
-
id: 110446350
{'aut_label': '10B-3', 'centralizer': '121.a1', 'counter': 58, 'group_counter': 10, 'group_order': 48400, 'label': '10F-3', 'order': 10, 'powers': [25, 3, 58], 'representative': 887, 'size': 121}
-
id: 110446351
{'aut_label': '10B1', 'centralizer': '121.a1', 'counter': 59, 'group_counter': 10, 'group_order': 48400, 'label': '10G1', 'order': 10, 'powers': [31, 4, 59], 'representative': 61, 'size': 121}
-
id: 110446353
{'aut_label': '10B-1', 'centralizer': '121.a1', 'counter': 60, 'group_counter': 10, 'group_order': 48400, 'label': '10G-1', 'order': 10, 'powers': [32, 4, 60], 'representative': 149, 'size': 121}
-
id: 110446354
{'aut_label': '10B3', 'centralizer': '121.a1', 'counter': 61, 'group_counter': 10, 'group_order': 48400, 'label': '10G3', 'order': 10, 'powers': [34, 4, 61], 'representative': 183, 'size': 121}
-
id: 110446355
{'aut_label': '10B-3', 'centralizer': '121.a1', 'counter': 62, 'group_counter': 10, 'group_order': 48400, 'label': '10G-3', 'order': 10, 'powers': [33, 4, 62], 'representative': 447, 'size': 121}
-
id: 110446356
{'aut_label': '10B1', 'centralizer': '121.a1', 'counter': 63, 'group_counter': 10, 'group_order': 48400, 'label': '10H1', 'order': 10, 'powers': [31, 3, 63], 'representative': 3521, 'size': 121}
-
id: 110446357
{'aut_label': '10B-1', 'centralizer': '121.a1', 'counter': 64, 'group_counter': 10, 'group_order': 48400, 'label': '10H-1', 'order': 10, 'powers': [32, 3, 64], 'representative': 889, 'size': 121}
-
id: 110446358
{'aut_label': '10B3', 'centralizer': '121.a1', 'counter': 65, 'group_counter': 10, 'group_order': 48400, 'label': '10H3', 'order': 10, 'powers': [34, 3, 65], 'representative': 1763, 'size': 121}
-
id: 110446359
{'aut_label': '10B-3', 'centralizer': '121.a1', 'counter': 66, 'group_counter': 10, 'group_order': 48400, 'label': '10H-3', 'order': 10, 'powers': [33, 3, 66], 'representative': 2647, 'size': 121}
-
id: 110446360
{'aut_label': '10B1', 'centralizer': '121.a1', 'counter': 67, 'group_counter': 10, 'group_order': 48400, 'label': '10I1', 'order': 10, 'powers': [15, 4, 67], 'representative': 101, 'size': 121}
-
id: 110446361
{'aut_label': '10B-1', 'centralizer': '121.a1', 'counter': 68, 'group_counter': 10, 'group_order': 48400, 'label': '10I-1', 'order': 10, 'powers': [16, 4, 68], 'representative': 109, 'size': 121}
-
id: 110446362
{'aut_label': '10B3', 'centralizer': '121.a1', 'counter': 69, 'group_counter': 10, 'group_order': 48400, 'label': '10I3', 'order': 10, 'powers': [18, 4, 69], 'representative': 103, 'size': 121}
-
id: 110446364
{'aut_label': '10B-3', 'centralizer': '121.a1', 'counter': 70, 'group_counter': 10, 'group_order': 48400, 'label': '10I-3', 'order': 10, 'powers': [17, 4, 70], 'representative': 107, 'size': 121}
-
id: 110446365
{'aut_label': '10B1', 'centralizer': '121.a1', 'counter': 71, 'group_counter': 10, 'group_order': 48400, 'label': '10J1', 'order': 10, 'powers': [19, 4, 71], 'representative': 141, 'size': 121}
-
id: 110446366
{'aut_label': '10B-1', 'centralizer': '121.a1', 'counter': 72, 'group_counter': 10, 'group_order': 48400, 'label': '10J-1', 'order': 10, 'powers': [20, 4, 72], 'representative': 69, 'size': 121}
-
id: 110446367
{'aut_label': '10B3', 'centralizer': '121.a1', 'counter': 73, 'group_counter': 10, 'group_order': 48400, 'label': '10J3', 'order': 10, 'powers': [22, 4, 73], 'representative': 443, 'size': 121}
-
id: 110446368
{'aut_label': '10B-3', 'centralizer': '121.a1', 'counter': 74, 'group_counter': 10, 'group_order': 48400, 'label': '10J-3', 'order': 10, 'powers': [21, 4, 74], 'representative': 187, 'size': 121}
-
id: 110446369
{'aut_label': '10B1', 'centralizer': '121.a1', 'counter': 75, 'group_counter': 10, 'group_order': 48400, 'label': '10K1', 'order': 10, 'powers': [27, 4, 75], 'representative': 181, 'size': 121}
-
id: 110446370
{'aut_label': '10B-1', 'centralizer': '121.a1', 'counter': 76, 'group_counter': 10, 'group_order': 48400, 'label': '10K-1', 'order': 10, 'powers': [28, 4, 76], 'representative': 449, 'size': 121}
-
id: 110446371
{'aut_label': '10B3', 'centralizer': '121.a1', 'counter': 77, 'group_counter': 10, 'group_order': 48400, 'label': '10K3', 'order': 10, 'powers': [30, 4, 77], 'representative': 143, 'size': 121}
-
id: 110446372
{'aut_label': '10B-3', 'centralizer': '121.a1', 'counter': 78, 'group_counter': 10, 'group_order': 48400, 'label': '10K-3', 'order': 10, 'powers': [29, 4, 78], 'representative': 67, 'size': 121}
-
id: 110446373
{'aut_label': '10L1', 'centralizer': '121.a1', 'counter': 79, 'group_counter': 10, 'group_order': 48400, 'label': '10L1', 'order': 10, 'powers': [11, 3, 79], 'representative': 885, 'size': 121}
-
id: 110446375
{'aut_label': '10L1', 'centralizer': '121.a1', 'counter': 80, 'group_counter': 10, 'group_order': 48400, 'label': '10L-1', 'order': 10, 'powers': [12, 3, 80], 'representative': 3525, 'size': 121}
-
id: 110446376
{'aut_label': '10L1', 'centralizer': '121.a1', 'counter': 81, 'group_counter': 10, 'group_order': 48400, 'label': '10L3', 'order': 10, 'powers': [14, 3, 81], 'representative': 2645, 'size': 121}
-
id: 110446377
{'aut_label': '10L1', 'centralizer': '121.a1', 'counter': 82, 'group_counter': 10, 'group_order': 48400, 'label': '10L-3', 'order': 10, 'powers': [13, 3, 82], 'representative': 1765, 'size': 121}
-
id: 110446378
{'aut_label': '10L1', 'centralizer': '121.a1', 'counter': 83, 'group_counter': 10, 'group_order': 48400, 'label': '10M1', 'order': 10, 'powers': [14, 4, 83], 'representative': 445, 'size': 121}
-
id: 110446379
{'aut_label': '10L1', 'centralizer': '121.a1', 'counter': 84, 'group_counter': 10, 'group_order': 48400, 'label': '10M-1', 'order': 10, 'powers': [13, 4, 84], 'representative': 185, 'size': 121}
-
id: 110446380
{'aut_label': '10L1', 'centralizer': '121.a1', 'counter': 85, 'group_counter': 10, 'group_order': 48400, 'label': '10M3', 'order': 10, 'powers': [12, 4, 85], 'representative': 65, 'size': 121}
-
id: 110446381
{'aut_label': '10L1', 'centralizer': '121.a1', 'counter': 86, 'group_counter': 10, 'group_order': 48400, 'label': '10M-3', 'order': 10, 'powers': [11, 4, 86], 'representative': 145, 'size': 121}
-
id: 110446382
{'aut_label': '10N1', 'centralizer': '121.a1', 'counter': 87, 'group_counter': 10, 'group_order': 48400, 'label': '10N1', 'order': 10, 'powers': [33, 2, 87], 'representative': 40042, 'size': 121}
-
id: 110446383
{'aut_label': '10N-1', 'centralizer': '121.a1', 'counter': 88, 'group_counter': 10, 'group_order': 48400, 'label': '10N-1', 'order': 10, 'powers': [34, 2, 88], 'representative': 34768, 'size': 121}
-
id: 110446384
{'aut_label': '10N3', 'centralizer': '121.a1', 'counter': 89, 'group_counter': 10, 'group_order': 48400, 'label': '10N3', 'order': 10, 'powers': [31, 2, 89], 'representative': 27726, 'size': 121}
-
id: 110446386
{'aut_label': '10N-3', 'centralizer': '121.a1', 'counter': 90, 'group_counter': 10, 'group_order': 48400, 'label': '10N-3', 'order': 10, 'powers': [32, 2, 90], 'representative': 16284, 'size': 121}
-
id: 110446387
{'aut_label': '10N-1', 'centralizer': '121.a1', 'counter': 91, 'group_counter': 10, 'group_order': 48400, 'label': '10O1', 'order': 10, 'powers': [26, 2, 91], 'representative': 46788, 'size': 121}
-
id: 110446388
{'aut_label': '10N1', 'centralizer': '121.a1', 'counter': 92, 'group_counter': 10, 'group_order': 48400, 'label': '10O-1', 'order': 10, 'powers': [25, 2, 92], 'representative': 36182, 'size': 121}
-
id: 110446389
{'aut_label': '10N-3', 'centralizer': '121.a1', 'counter': 93, 'group_counter': 10, 'group_order': 48400, 'label': '10O3', 'order': 10, 'powers': [24, 2, 93], 'representative': 15904, 'size': 121}
-
id: 110446390
{'aut_label': '10N3', 'centralizer': '121.a1', 'counter': 94, 'group_counter': 10, 'group_order': 48400, 'label': '10O-3', 'order': 10, 'powers': [23, 2, 94], 'representative': 46326, 'size': 121}
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id: 110446391
{'aut_label': '10N1', 'centralizer': '121.a1', 'counter': 95, 'group_counter': 10, 'group_order': 48400, 'label': '10P1', 'order': 10, 'powers': [17, 2, 95], 'representative': 14142, 'size': 121}
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id: 110446392
{'aut_label': '10N-1', 'centralizer': '121.a1', 'counter': 96, 'group_counter': 10, 'group_order': 48400, 'label': '10P-1', 'order': 10, 'powers': [18, 2, 96], 'representative': 1368, 'size': 121}
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id: 110446393
{'aut_label': '10N3', 'centralizer': '121.a1', 'counter': 97, 'group_counter': 10, 'group_order': 48400, 'label': '10P3', 'order': 10, 'powers': [15, 2, 97], 'representative': 29646, 'size': 121}
-
id: 110446394
{'aut_label': '10N-3', 'centralizer': '121.a1', 'counter': 98, 'group_counter': 10, 'group_order': 48400, 'label': '10P-3', 'order': 10, 'powers': [16, 2, 98], 'representative': 26924, 'size': 121}
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id: 110446395
{'aut_label': '10N-1', 'centralizer': '121.a1', 'counter': 99, 'group_counter': 10, 'group_order': 48400, 'label': '10Q1', 'order': 10, 'powers': [22, 2, 99], 'representative': 41088, 'size': 121}
-
id: 110445998
{'aut_label': '10N1', 'centralizer': '121.a1', 'counter': 100, 'group_counter': 10, 'group_order': 48400, 'label': '10Q-1', 'order': 10, 'powers': [21, 2, 100], 'representative': 29942, 'size': 121}
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id: 110445999
{'aut_label': '10N-3', 'centralizer': '121.a1', 'counter': 101, 'group_counter': 10, 'group_order': 48400, 'label': '10Q3', 'order': 10, 'powers': [20, 2, 101], 'representative': 43224, 'size': 121}
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id: 110446000
{'aut_label': '10N3', 'centralizer': '121.a1', 'counter': 102, 'group_counter': 10, 'group_order': 48400, 'label': '10Q-3', 'order': 10, 'powers': [19, 2, 102], 'representative': 42886, 'size': 121}
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id: 110446001
{'aut_label': '10N1', 'centralizer': '121.a1', 'counter': 103, 'group_counter': 10, 'group_order': 48400, 'label': '10R1', 'order': 10, 'powers': [29, 2, 103], 'representative': 14102, 'size': 121}
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id: 110446002
{'aut_label': '10N-1', 'centralizer': '121.a1', 'counter': 104, 'group_counter': 10, 'group_order': 48400, 'label': '10R-1', 'order': 10, 'powers': [30, 2, 104], 'representative': 30528, 'size': 121}
-
id: 110446003
{'aut_label': '10N3', 'centralizer': '121.a1', 'counter': 105, 'group_counter': 10, 'group_order': 48400, 'label': '10R3', 'order': 10, 'powers': [27, 2, 105], 'representative': 39366, 'size': 121}
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id: 110446004
{'aut_label': '10N-3', 'centralizer': '121.a1', 'counter': 106, 'group_counter': 10, 'group_order': 48400, 'label': '10R-3', 'order': 10, 'powers': [28, 2, 106], 'representative': 2744, 'size': 121}
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id: 110446005
{'aut_label': '11A', 'centralizer': '10.e1', 'counter': 107, 'group_counter': 10, 'group_order': 48400, 'label': '11A', 'order': 11, 'powers': [107, 107, 1], 'representative': 4400, 'size': 10}
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id: 110446006
{'aut_label': '11A', 'centralizer': '10.e1', 'counter': 108, 'group_counter': 10, 'group_order': 48400, 'label': '11B', 'order': 11, 'powers': [108, 108, 1], 'representative': 5020, 'size': 10}
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id: 110446007
{'aut_label': '11C', 'centralizer': '20.c1', 'counter': 109, 'group_counter': 10, 'group_order': 48400, 'label': '11C', 'order': 11, 'powers': [109, 109, 1], 'representative': 9420, 'size': 20}
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id: 110446009
{'aut_label': '11C', 'centralizer': '20.c1', 'counter': 110, 'group_counter': 10, 'group_order': 48400, 'label': '11D', 'order': 11, 'powers': [110, 110, 1], 'representative': 28700, 'size': 20}
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id: 110446010
{'aut_label': '11C', 'centralizer': '20.c1', 'counter': 111, 'group_counter': 10, 'group_order': 48400, 'label': '11E', 'order': 11, 'powers': [111, 111, 1], 'representative': 38340, 'size': 20}
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id: 110446011
{'aut_label': '11C', 'centralizer': '20.c1', 'counter': 112, 'group_counter': 10, 'group_order': 48400, 'label': '11F', 'order': 11, 'powers': [112, 112, 1], 'representative': 47980, 'size': 20}
-
id: 110446012
{'aut_label': '11C', 'centralizer': '20.c1', 'counter': 113, 'group_counter': 10, 'group_order': 48400, 'label': '11G', 'order': 11, 'powers': [113, 113, 1], 'representative': 33520, 'size': 20}
-
id: 110446013
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 114, 'group_counter': 10, 'group_order': 48400, 'label': '20A1', 'order': 20, 'powers': [35, 5, 114], 'representative': 2420, 'size': 2}
-
id: 110446014
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 115, 'group_counter': 10, 'group_order': 48400, 'label': '20A-1', 'order': 20, 'powers': [36, 5, 115], 'representative': 45980, 'size': 2}
-
id: 110446015
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 116, 'group_counter': 10, 'group_order': 48400, 'label': '20A3', 'order': 20, 'powers': [37, 5, 116], 'representative': 7260, 'size': 2}
-
id: 110446016
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 117, 'group_counter': 10, 'group_order': 48400, 'label': '20A-3', 'order': 20, 'powers': [38, 5, 117], 'representative': 41140, 'size': 2}
-
id: 110446017
{'aut_label': '20B1', 'centralizer': '22.c1', 'counter': 118, 'group_counter': 10, 'group_order': 48400, 'label': '20B1', 'order': 20, 'powers': [35, 6, 118], 'representative': 110, 'size': 22}
-
id: 110446018
{'aut_label': '20B1', 'centralizer': '22.c1', 'counter': 119, 'group_counter': 10, 'group_order': 48400, 'label': '20B-1', 'order': 20, 'powers': [36, 6, 119], 'representative': 43670, 'size': 22}
-
id: 110446020
{'aut_label': '20B1', 'centralizer': '22.c1', 'counter': 120, 'group_counter': 10, 'group_order': 48400, 'label': '20B3', 'order': 20, 'powers': [37, 6, 120], 'representative': 4950, 'size': 22}
-
id: 110446021
{'aut_label': '20B1', 'centralizer': '22.c1', 'counter': 121, 'group_counter': 10, 'group_order': 48400, 'label': '20B-3', 'order': 20, 'powers': [38, 6, 121], 'representative': 38830, 'size': 22}
-
id: 110446022
{'aut_label': '20B1', 'centralizer': '22.c1', 'counter': 122, 'group_counter': 10, 'group_order': 48400, 'label': '20C1', 'order': 20, 'powers': [38, 7, 122], 'representative': 330, 'size': 22}
-
id: 110446023
{'aut_label': '20B1', 'centralizer': '22.c1', 'counter': 123, 'group_counter': 10, 'group_order': 48400, 'label': '20C-1', 'order': 20, 'powers': [37, 7, 123], 'representative': 14850, 'size': 22}
-
id: 110446024
{'aut_label': '20B1', 'centralizer': '22.c1', 'counter': 124, 'group_counter': 10, 'group_order': 48400, 'label': '20C3', 'order': 20, 'powers': [35, 7, 124], 'representative': 34210, 'size': 22}
-
id: 110446025
{'aut_label': '20B1', 'centralizer': '22.c1', 'counter': 125, 'group_counter': 10, 'group_order': 48400, 'label': '20C-3', 'order': 20, 'powers': [36, 7, 125], 'representative': 29370, 'size': 22}
-
id: 110446026
{'aut_label': '20B1', 'centralizer': '22.c1', 'counter': 126, 'group_counter': 10, 'group_order': 48400, 'label': '20D1', 'order': 20, 'powers': [35, 8, 126], 'representative': 2215, 'size': 22}
-
id: 110446027
{'aut_label': '20B1', 'centralizer': '22.c1', 'counter': 127, 'group_counter': 10, 'group_order': 48400, 'label': '20D-1', 'order': 20, 'powers': [36, 8, 127], 'representative': 45775, 'size': 22}
-
id: 110446028
{'aut_label': '20B1', 'centralizer': '22.c1', 'counter': 128, 'group_counter': 10, 'group_order': 48400, 'label': '20D3', 'order': 20, 'powers': [37, 8, 128], 'representative': 7055, 'size': 22}
-
id: 110446029
{'aut_label': '20B1', 'centralizer': '22.c1', 'counter': 129, 'group_counter': 10, 'group_order': 48400, 'label': '20D-3', 'order': 20, 'powers': [38, 8, 129], 'representative': 40935, 'size': 22}
-
id: 110446031
{'aut_label': '20B1', 'centralizer': '22.c1', 'counter': 130, 'group_counter': 10, 'group_order': 48400, 'label': '20E1', 'order': 20, 'powers': [38, 9, 130], 'representative': 28835, 'size': 22}
-
id: 110446032
{'aut_label': '20B1', 'centralizer': '22.c1', 'counter': 131, 'group_counter': 10, 'group_order': 48400, 'label': '20E-1', 'order': 20, 'powers': [37, 9, 131], 'representative': 43355, 'size': 22}
-
id: 110446033
{'aut_label': '20B1', 'centralizer': '22.c1', 'counter': 132, 'group_counter': 10, 'group_order': 48400, 'label': '20E3', 'order': 20, 'powers': [35, 9, 132], 'representative': 14315, 'size': 22}
-
id: 110446034
{'aut_label': '20B1', 'centralizer': '22.c1', 'counter': 133, 'group_counter': 10, 'group_order': 48400, 'label': '20E-3', 'order': 20, 'powers': [36, 9, 133], 'representative': 9475, 'size': 22}
-
id: 110446035
{'aut_label': '20F1', 'centralizer': '242.a1', 'counter': 134, 'group_counter': 10, 'group_order': 48400, 'label': '20F1', 'order': 20, 'powers': [87, 10, 134], 'representative': 22221, 'size': 242}
-
id: 110446036
{'aut_label': '20F-1', 'centralizer': '242.a1', 'counter': 135, 'group_counter': 10, 'group_order': 48400, 'label': '20F-1', 'order': 20, 'powers': [88, 10, 135], 'representative': 48189, 'size': 242}
-
id: 110446037
{'aut_label': '20F3', 'centralizer': '242.a1', 'counter': 136, 'group_counter': 10, 'group_order': 48400, 'label': '20F3', 'order': 20, 'powers': [89, 10, 136], 'representative': 663, 'size': 242}
-
id: 110446038
{'aut_label': '20F-3', 'centralizer': '242.a1', 'counter': 137, 'group_counter': 10, 'group_order': 48400, 'label': '20F-3', 'order': 20, 'powers': [90, 10, 137], 'representative': 38947, 'size': 242}
-
id: 110446039
{'aut_label': '20G1', 'centralizer': '242.b1', 'counter': 138, 'group_counter': 10, 'group_order': 48400, 'label': '20G1', 'order': 20, 'powers': [89, 7, 138], 'representative': 27638, 'size': 242}
-
id: 110446040
{'aut_label': '20G-1', 'centralizer': '242.b1', 'counter': 139, 'group_counter': 10, 'group_order': 48400, 'label': '20G-1', 'order': 20, 'powers': [90, 7, 139], 'representative': 28412, 'size': 242}
-
id: 110446042
{'aut_label': '20G3', 'centralizer': '242.b1', 'counter': 140, 'group_counter': 10, 'group_order': 48400, 'label': '20G3', 'order': 20, 'powers': [88, 7, 140], 'representative': 19734, 'size': 242}
-
id: 110446043
{'aut_label': '20G-3', 'centralizer': '242.b1', 'counter': 141, 'group_counter': 10, 'group_order': 48400, 'label': '20G-3', 'order': 20, 'powers': [87, 7, 141], 'representative': 28136, 'size': 242}
-
id: 110446044
{'aut_label': '20G3', 'centralizer': '242.b1', 'counter': 142, 'group_counter': 10, 'group_order': 48400, 'label': '20H1', 'order': 20, 'powers': [91, 9, 142], 'representative': 1239, 'size': 242}
-
id: 110446045
{'aut_label': '20G-3', 'centralizer': '242.b1', 'counter': 143, 'group_counter': 10, 'group_order': 48400, 'label': '20H-1', 'order': 20, 'powers': [92, 9, 143], 'representative': 36371, 'size': 242}
-
id: 110446046
{'aut_label': '20G-1', 'centralizer': '242.b1', 'counter': 144, 'group_counter': 10, 'group_order': 48400, 'label': '20H3', 'order': 20, 'powers': [93, 9, 144], 'representative': 16597, 'size': 242}
-
id: 110446047
{'aut_label': '20G1', 'centralizer': '242.b1', 'counter': 145, 'group_counter': 10, 'group_order': 48400, 'label': '20H-3', 'order': 20, 'powers': [94, 9, 145], 'representative': 22273, 'size': 242}
-
id: 110446048
{'aut_label': '20I1', 'centralizer': '242.a1', 'counter': 146, 'group_counter': 10, 'group_order': 48400, 'label': '20I1', 'order': 20, 'powers': [94, 5, 146], 'representative': 45268, 'size': 242}
-
id: 110446049
{'aut_label': '20I-1', 'centralizer': '242.a1', 'counter': 147, 'group_counter': 10, 'group_order': 48400, 'label': '20I-1', 'order': 20, 'powers': [93, 5, 147], 'representative': 30162, 'size': 242}
-
id: 110446050
{'aut_label': '20I3', 'centralizer': '242.a1', 'counter': 148, 'group_counter': 10, 'group_order': 48400, 'label': '20I3', 'order': 20, 'powers': [91, 5, 148], 'representative': 24964, 'size': 242}
-
id: 110446051
{'aut_label': '20I-3', 'centralizer': '242.a1', 'counter': 149, 'group_counter': 10, 'group_order': 48400, 'label': '20I-3', 'order': 20, 'powers': [92, 5, 149], 'representative': 3946, 'size': 242}
-
id: 110446053
{'aut_label': '20F1', 'centralizer': '242.a1', 'counter': 150, 'group_counter': 10, 'group_order': 48400, 'label': '20J1', 'order': 20, 'powers': [92, 10, 150], 'representative': 30661, 'size': 242}
-
id: 110446054
{'aut_label': '20F-1', 'centralizer': '242.a1', 'counter': 151, 'group_counter': 10, 'group_order': 48400, 'label': '20J-1', 'order': 20, 'powers': [91, 10, 151], 'representative': 7889, 'size': 242}
-
id: 110446055
{'aut_label': '20F3', 'centralizer': '242.a1', 'counter': 152, 'group_counter': 10, 'group_order': 48400, 'label': '20J3', 'order': 20, 'powers': [94, 10, 152], 'representative': 10903, 'size': 242}
-
id: 110446056
{'aut_label': '20F-3', 'centralizer': '242.a1', 'counter': 153, 'group_counter': 10, 'group_order': 48400, 'label': '20J-3', 'order': 20, 'powers': [93, 10, 153], 'representative': 16547, 'size': 242}
-
id: 110446057
{'aut_label': '20G-3', 'centralizer': '242.b1', 'counter': 154, 'group_counter': 10, 'group_order': 48400, 'label': '20K1', 'order': 20, 'powers': [95, 9, 154], 'representative': 14871, 'size': 242}
-
id: 110446058
{'aut_label': '20G3', 'centralizer': '242.b1', 'counter': 155, 'group_counter': 10, 'group_order': 48400, 'label': '20K-1', 'order': 20, 'powers': [96, 9, 155], 'representative': 46199, 'size': 242}
-
id: 110446059
{'aut_label': '20G1', 'centralizer': '242.b1', 'counter': 156, 'group_counter': 10, 'group_order': 48400, 'label': '20K3', 'order': 20, 'powers': [97, 9, 156], 'representative': 5973, 'size': 242}
-
id: 110446060
{'aut_label': '20G-1', 'centralizer': '242.b1', 'counter': 157, 'group_counter': 10, 'group_order': 48400, 'label': '20K-3', 'order': 20, 'powers': [98, 9, 157], 'representative': 4197, 'size': 242}
-
id: 110446061
{'aut_label': '20I-1', 'centralizer': '242.a1', 'counter': 158, 'group_counter': 10, 'group_order': 48400, 'label': '20L1', 'order': 20, 'powers': [98, 5, 158], 'representative': 17022, 'size': 242}
-
id: 110446062
{'aut_label': '20I1', 'centralizer': '242.a1', 'counter': 159, 'group_counter': 10, 'group_order': 48400, 'label': '20L-1', 'order': 20, 'powers': [97, 5, 159], 'representative': 12308, 'size': 242}
-
id: 110446064
{'aut_label': '20I-3', 'centralizer': '242.a1', 'counter': 160, 'group_counter': 10, 'group_order': 48400, 'label': '20L3', 'order': 20, 'powers': [95, 5, 160], 'representative': 26766, 'size': 242}
-
id: 110446065
{'aut_label': '20I3', 'centralizer': '242.a1', 'counter': 161, 'group_counter': 10, 'group_order': 48400, 'label': '20L-3', 'order': 20, 'powers': [96, 5, 161], 'representative': 41324, 'size': 242}
-
id: 110446066
{'aut_label': '20G-3', 'centralizer': '242.b1', 'counter': 162, 'group_counter': 10, 'group_order': 48400, 'label': '20M1', 'order': 20, 'powers': [87, 9, 162], 'representative': 39031, 'size': 242}
-
id: 110446067
{'aut_label': '20G3', 'centralizer': '242.b1', 'counter': 163, 'group_counter': 10, 'group_order': 48400, 'label': '20M-1', 'order': 20, 'powers': [88, 9, 163], 'representative': 31479, 'size': 242}
-
id: 110446068
{'aut_label': '20G1', 'centralizer': '242.b1', 'counter': 164, 'group_counter': 10, 'group_order': 48400, 'label': '20M3', 'order': 20, 'powers': [89, 9, 164], 'representative': 10973, 'size': 242}
-
id: 110446069
{'aut_label': '20G-1', 'centralizer': '242.b1', 'counter': 165, 'group_counter': 10, 'group_order': 48400, 'label': '20M-3', 'order': 20, 'powers': [90, 9, 165], 'representative': 9237, 'size': 242}
-
id: 110446070
{'aut_label': '20I3', 'centralizer': '242.a1', 'counter': 166, 'group_counter': 10, 'group_order': 48400, 'label': '20N1', 'order': 20, 'powers': [99, 5, 166], 'representative': 31124, 'size': 242}
-
id: 110446071
{'aut_label': '20I-3', 'centralizer': '242.a1', 'counter': 167, 'group_counter': 10, 'group_order': 48400, 'label': '20N-1', 'order': 20, 'powers': [100, 5, 167], 'representative': 6586, 'size': 242}
-
id: 110446072
{'aut_label': '20I-1', 'centralizer': '242.a1', 'counter': 168, 'group_counter': 10, 'group_order': 48400, 'label': '20N3', 'order': 20, 'powers': [101, 5, 168], 'representative': 42042, 'size': 242}
-
id: 110446073
{'aut_label': '20I1', 'centralizer': '242.a1', 'counter': 169, 'group_counter': 10, 'group_order': 48400, 'label': '20N-3', 'order': 20, 'powers': [102, 5, 169], 'representative': 28988, 'size': 242}
-
id: 110446075
{'aut_label': '20G-3', 'centralizer': '242.b1', 'counter': 170, 'group_counter': 10, 'group_order': 48400, 'label': '20O1', 'order': 20, 'powers': [103, 9, 170], 'representative': 43971, 'size': 242}
-
id: 110446076
{'aut_label': '20G3', 'centralizer': '242.b1', 'counter': 171, 'group_counter': 10, 'group_order': 48400, 'label': '20O-1', 'order': 20, 'powers': [104, 9, 171], 'representative': 36379, 'size': 242}
-
id: 110446077
{'aut_label': '20G1', 'centralizer': '242.b1', 'counter': 172, 'group_counter': 10, 'group_order': 48400, 'label': '20O3', 'order': 20, 'powers': [105, 9, 172], 'representative': 44673, 'size': 242}
-
id: 110446078
{'aut_label': '20G-1', 'centralizer': '242.b1', 'counter': 173, 'group_counter': 10, 'group_order': 48400, 'label': '20O-3', 'order': 20, 'powers': [106, 9, 173], 'representative': 33377, 'size': 242}
-
id: 110446079
{'aut_label': '20G-1', 'centralizer': '242.b1', 'counter': 174, 'group_counter': 10, 'group_order': 48400, 'label': '20P1', 'order': 20, 'powers': [90, 6, 174], 'representative': 40932, 'size': 242}
-
id: 110446080
{'aut_label': '20G1', 'centralizer': '242.b1', 'counter': 175, 'group_counter': 10, 'group_order': 48400, 'label': '20P-1', 'order': 20, 'powers': [89, 6, 175], 'representative': 12078, 'size': 242}
-
id: 110446081
{'aut_label': '20G-3', 'centralizer': '242.b1', 'counter': 176, 'group_counter': 10, 'group_order': 48400, 'label': '20P3', 'order': 20, 'powers': [87, 6, 176], 'representative': 26616, 'size': 242}
-
id: 110446082
{'aut_label': '20G3', 'centralizer': '242.b1', 'counter': 177, 'group_counter': 10, 'group_order': 48400, 'label': '20P-3', 'order': 20, 'powers': [88, 6, 177], 'representative': 11934, 'size': 242}
-
id: 110446083
{'aut_label': '20G1', 'centralizer': '242.b1', 'counter': 178, 'group_counter': 10, 'group_order': 48400, 'label': '20Q1', 'order': 20, 'powers': [102, 8, 178], 'representative': 12013, 'size': 242}
-
id: 110446084
{'aut_label': '20G-1', 'centralizer': '242.b1', 'counter': 179, 'group_counter': 10, 'group_order': 48400, 'label': '20Q-1', 'order': 20, 'powers': [101, 8, 179], 'representative': 12077, 'size': 242}
-
id: 110446086
{'aut_label': '20G3', 'centralizer': '242.b1', 'counter': 180, 'group_counter': 10, 'group_order': 48400, 'label': '20Q3', 'order': 20, 'powers': [99, 8, 180], 'representative': 21599, 'size': 242}
-
id: 110446087
{'aut_label': '20G-3', 'centralizer': '242.b1', 'counter': 181, 'group_counter': 10, 'group_order': 48400, 'label': '20Q-3', 'order': 20, 'powers': [100, 8, 181], 'representative': 11931, 'size': 242}
-
id: 110446088
{'aut_label': '20G3', 'centralizer': '242.b1', 'counter': 182, 'group_counter': 10, 'group_order': 48400, 'label': '20R1', 'order': 20, 'powers': [104, 6, 182], 'representative': 12014, 'size': 242}
-
id: 110446089
{'aut_label': '20G-3', 'centralizer': '242.b1', 'counter': 183, 'group_counter': 10, 'group_order': 48400, 'label': '20R-1', 'order': 20, 'powers': [103, 6, 183], 'representative': 21716, 'size': 242}
-
id: 110446090
{'aut_label': '20G-1', 'centralizer': '242.b1', 'counter': 184, 'group_counter': 10, 'group_order': 48400, 'label': '20R3', 'order': 20, 'powers': [106, 6, 184], 'representative': 11952, 'size': 242}
-
id: 110446091
{'aut_label': '20G1', 'centralizer': '242.b1', 'counter': 185, 'group_counter': 10, 'group_order': 48400, 'label': '20R-3', 'order': 20, 'powers': [105, 6, 185], 'representative': 21578, 'size': 242}
-
id: 110446092
{'aut_label': '20G-1', 'centralizer': '242.b1', 'counter': 186, 'group_counter': 10, 'group_order': 48400, 'label': '20S1', 'order': 20, 'powers': [101, 6, 186], 'representative': 21712, 'size': 242}
-
id: 110446093
{'aut_label': '20G1', 'centralizer': '242.b1', 'counter': 187, 'group_counter': 10, 'group_order': 48400, 'label': '20S-1', 'order': 20, 'powers': [102, 6, 187], 'representative': 41138, 'size': 242}
-
id: 110446094
{'aut_label': '20G-3', 'centralizer': '242.b1', 'counter': 188, 'group_counter': 10, 'group_order': 48400, 'label': '20S3', 'order': 20, 'powers': [100, 6, 188], 'representative': 7116, 'size': 242}
-
id: 110446095
{'aut_label': '20G3', 'centralizer': '242.b1', 'counter': 189, 'group_counter': 10, 'group_order': 48400, 'label': '20S-3', 'order': 20, 'powers': [99, 6, 189], 'representative': 7134, 'size': 242}
-
id: 110446097
{'aut_label': '20G-1', 'centralizer': '242.b1', 'counter': 190, 'group_counter': 10, 'group_order': 48400, 'label': '20T1', 'order': 20, 'powers': [98, 6, 190], 'representative': 7172, 'size': 242}
-
id: 110446098
{'aut_label': '20G1', 'centralizer': '242.b1', 'counter': 191, 'group_counter': 10, 'group_order': 48400, 'label': '20T-1', 'order': 20, 'powers': [97, 6, 191], 'representative': 2258, 'size': 242}
-
id: 110446099
{'aut_label': '20G-3', 'centralizer': '242.b1', 'counter': 192, 'group_counter': 10, 'group_order': 48400, 'label': '20T3', 'order': 20, 'powers': [95, 6, 192], 'representative': 41016, 'size': 242}
-
id: 110446100
{'aut_label': '20G3', 'centralizer': '242.b1', 'counter': 193, 'group_counter': 10, 'group_order': 48400, 'label': '20T-3', 'order': 20, 'powers': [96, 6, 193], 'representative': 36294, 'size': 242}
-
id: 110446101
{'aut_label': '20I-1', 'centralizer': '242.a1', 'counter': 194, 'group_counter': 10, 'group_order': 48400, 'label': '20U1', 'order': 20, 'powers': [106, 5, 194], 'representative': 3882, 'size': 242}
-
id: 110446102
{'aut_label': '20I1', 'centralizer': '242.a1', 'counter': 195, 'group_counter': 10, 'group_order': 48400, 'label': '20U-1', 'order': 20, 'powers': [105, 5, 195], 'representative': 32368, 'size': 242}
-
id: 110446103
{'aut_label': '20I-3', 'centralizer': '242.a1', 'counter': 196, 'group_counter': 10, 'group_order': 48400, 'label': '20U3', 'order': 20, 'powers': [103, 5, 196], 'representative': 1186, 'size': 242}
-
id: 110446104
{'aut_label': '20I3', 'centralizer': '242.a1', 'counter': 197, 'group_counter': 10, 'group_order': 48400, 'label': '20U-3', 'order': 20, 'powers': [104, 5, 197], 'representative': 13904, 'size': 242}
-
id: 110446105
{'aut_label': '20G1', 'centralizer': '242.b1', 'counter': 198, 'group_counter': 10, 'group_order': 48400, 'label': '20V1', 'order': 20, 'powers': [89, 8, 198], 'representative': 12073, 'size': 242}
-
id: 110446106
{'aut_label': '20G-1', 'centralizer': '242.b1', 'counter': 199, 'group_counter': 10, 'group_order': 48400, 'label': '20V-1', 'order': 20, 'powers': [90, 8, 199], 'representative': 41137, 'size': 242}
-
id: 110446109
{'aut_label': '20G3', 'centralizer': '242.b1', 'counter': 200, 'group_counter': 10, 'group_order': 48400, 'label': '20V3', 'order': 20, 'powers': [88, 8, 200], 'representative': 21579, 'size': 242}
-
id: 110446110
{'aut_label': '20G-3', 'centralizer': '242.b1', 'counter': 201, 'group_counter': 10, 'group_order': 48400, 'label': '20V-3', 'order': 20, 'powers': [87, 8, 201], 'representative': 7131, 'size': 242}
-
id: 110446111
{'aut_label': '20G1', 'centralizer': '242.b1', 'counter': 202, 'group_counter': 10, 'group_order': 48400, 'label': '20W1', 'order': 20, 'powers': [94, 8, 202], 'representative': 3993, 'size': 242}
-
id: 110446112
{'aut_label': '20G-1', 'centralizer': '242.b1', 'counter': 203, 'group_counter': 10, 'group_order': 48400, 'label': '20W-1', 'order': 20, 'powers': [93, 8, 203], 'representative': 43577, 'size': 242}
-
id: 110446113
{'aut_label': '20G3', 'centralizer': '242.b1', 'counter': 204, 'group_counter': 10, 'group_order': 48400, 'label': '20W3', 'order': 20, 'powers': [91, 8, 204], 'representative': 44659, 'size': 242}
-
id: 110446114
{'aut_label': '20G-3', 'centralizer': '242.b1', 'counter': 205, 'group_counter': 10, 'group_order': 48400, 'label': '20W-3', 'order': 20, 'powers': [92, 8, 205], 'representative': 14211, 'size': 242}
-
id: 110446115
{'aut_label': '20X1', 'centralizer': '242.a1', 'counter': 206, 'group_counter': 10, 'group_order': 48400, 'label': '20X1', 'order': 20, 'powers': [38, 10, 206], 'representative': 43545, 'size': 242}
-
id: 110446116
{'aut_label': '20X1', 'centralizer': '242.a1', 'counter': 207, 'group_counter': 10, 'group_order': 48400, 'label': '20X-1', 'order': 20, 'powers': [37, 10, 207], 'representative': 9665, 'size': 242}
-
id: 110446117
{'aut_label': '20X1', 'centralizer': '242.a1', 'counter': 208, 'group_counter': 10, 'group_order': 48400, 'label': '20X3', 'order': 20, 'powers': [35, 10, 208], 'representative': 29025, 'size': 242}
-
id: 110446118
{'aut_label': '20X1', 'centralizer': '242.a1', 'counter': 209, 'group_counter': 10, 'group_order': 48400, 'label': '20X-3', 'order': 20, 'powers': [36, 10, 209], 'representative': 24185, 'size': 242}
-
id: 110446120
{'aut_label': '20G1', 'centralizer': '242.b1', 'counter': 210, 'group_counter': 10, 'group_order': 48400, 'label': '20Y1', 'order': 20, 'powers': [94, 6, 210], 'representative': 7138, 'size': 242}
-
id: 110446121
{'aut_label': '20G-1', 'centralizer': '242.b1', 'counter': 211, 'group_counter': 10, 'group_order': 48400, 'label': '20Y-1', 'order': 20, 'powers': [93, 6, 211], 'representative': 26592, 'size': 242}
-
id: 110446122
{'aut_label': '20G3', 'centralizer': '242.b1', 'counter': 212, 'group_counter': 10, 'group_order': 48400, 'label': '20Y3', 'order': 20, 'powers': [91, 6, 212], 'representative': 16794, 'size': 242}
-
id: 110446123
{'aut_label': '20G-3', 'centralizer': '242.b1', 'counter': 213, 'group_counter': 10, 'group_order': 48400, 'label': '20Y-3', 'order': 20, 'powers': [92, 6, 213], 'representative': 11916, 'size': 242}
-
id: 110446124
{'aut_label': '20G3', 'centralizer': '242.b1', 'counter': 214, 'group_counter': 10, 'group_order': 48400, 'label': '20Z1', 'order': 20, 'powers': [91, 7, 214], 'representative': 10974, 'size': 242}
-
id: 110446125
{'aut_label': '20G-3', 'centralizer': '242.b1', 'counter': 215, 'group_counter': 10, 'group_order': 48400, 'label': '20Z-1', 'order': 20, 'powers': [92, 7, 215], 'representative': 21396, 'size': 242}
-
id: 110446126
{'aut_label': '20G-1', 'centralizer': '242.b1', 'counter': 216, 'group_counter': 10, 'group_order': 48400, 'label': '20Z3', 'order': 20, 'powers': [93, 7, 216], 'representative': 8312, 'size': 242}
-
id: 110446127
{'aut_label': '20G1', 'centralizer': '242.b1', 'counter': 217, 'group_counter': 10, 'group_order': 48400, 'label': '20Z-3', 'order': 20, 'powers': [94, 7, 217], 'representative': 44378, 'size': 242}
-
id: 110446128
{'aut_label': '20G-3', 'centralizer': '242.b1', 'counter': 218, 'group_counter': 10, 'group_order': 48400, 'label': '20AA1', 'order': 20, 'powers': [100, 9, 218], 'representative': 20151, 'size': 242}
-
id: 110446129
{'aut_label': '20G3', 'centralizer': '242.b1', 'counter': 219, 'group_counter': 10, 'group_order': 48400, 'label': '20AA-1', 'order': 20, 'powers': [99, 9, 219], 'representative': 10119, 'size': 242}
-
id: 110446131
{'aut_label': '20G1', 'centralizer': '242.b1', 'counter': 220, 'group_counter': 10, 'group_order': 48400, 'label': '20AA3', 'order': 20, 'powers': [102, 9, 220], 'representative': 21813, 'size': 242}
-
id: 110446132
{'aut_label': '20G-1', 'centralizer': '242.b1', 'counter': 221, 'group_counter': 10, 'group_order': 48400, 'label': '20AA-3', 'order': 20, 'powers': [101, 9, 221], 'representative': 27957, 'size': 242}
-
id: 110446133
{'aut_label': '20F-3', 'centralizer': '242.a1', 'counter': 222, 'group_counter': 10, 'group_order': 48400, 'label': '20AB1', 'order': 20, 'powers': [106, 10, 222], 'representative': 3787, 'size': 242}
-
id: 110446134
{'aut_label': '20F3', 'centralizer': '242.a1', 'counter': 223, 'group_counter': 10, 'group_order': 48400, 'label': '20AB-1', 'order': 20, 'powers': [105, 10, 223], 'representative': 1663, 'size': 242}
-
id: 110446135
{'aut_label': '20F1', 'centralizer': '242.a1', 'counter': 224, 'group_counter': 10, 'group_order': 48400, 'label': '20AB3', 'order': 20, 'powers': [103, 10, 224], 'representative': 34181, 'size': 242}
-
id: 110446136
{'aut_label': '20F-1', 'centralizer': '242.a1', 'counter': 225, 'group_counter': 10, 'group_order': 48400, 'label': '20AB-3', 'order': 20, 'powers': [104, 10, 225], 'representative': 35169, 'size': 242}
-
id: 110446137
{'aut_label': '20I-1', 'centralizer': '242.a1', 'counter': 226, 'group_counter': 10, 'group_order': 48400, 'label': '20AC1', 'order': 20, 'powers': [90, 5, 226], 'representative': 20182, 'size': 242}
-
id: 110446138
{'aut_label': '20I1', 'centralizer': '242.a1', 'counter': 227, 'group_counter': 10, 'group_order': 48400, 'label': '20AC-1', 'order': 20, 'powers': [89, 5, 227], 'representative': 7888, 'size': 242}
-
id: 110446139
{'aut_label': '20I-3', 'centralizer': '242.a1', 'counter': 228, 'group_counter': 10, 'group_order': 48400, 'label': '20AC3', 'order': 20, 'powers': [87, 5, 228], 'representative': 42966, 'size': 242}
-
id: 110446140
{'aut_label': '20I3', 'centralizer': '242.a1', 'counter': 229, 'group_counter': 10, 'group_order': 48400, 'label': '20AC-3', 'order': 20, 'powers': [88, 5, 229], 'representative': 27644, 'size': 242}
-
id: 110446142
{'aut_label': '20F3', 'centralizer': '242.a1', 'counter': 230, 'group_counter': 10, 'group_order': 48400, 'label': '20AD1', 'order': 20, 'powers': [102, 10, 230], 'representative': 8143, 'size': 242}
-
id: 110446143
{'aut_label': '20F-3', 'centralizer': '242.a1', 'counter': 231, 'group_counter': 10, 'group_order': 48400, 'label': '20AD-1', 'order': 20, 'powers': [101, 10, 231], 'representative': 44667, 'size': 242}
-
id: 110446144
{'aut_label': '20F-1', 'centralizer': '242.a1', 'counter': 232, 'group_counter': 10, 'group_order': 48400, 'label': '20AD3', 'order': 20, 'powers': [99, 10, 232], 'representative': 37629, 'size': 242}
-
id: 110446145
{'aut_label': '20F1', 'centralizer': '242.a1', 'counter': 233, 'group_counter': 10, 'group_order': 48400, 'label': '20AD-3', 'order': 20, 'powers': [100, 10, 233], 'representative': 23981, 'size': 242}
-
id: 110446146
{'aut_label': '20F-3', 'centralizer': '242.a1', 'counter': 234, 'group_counter': 10, 'group_order': 48400, 'label': '20AE1', 'order': 20, 'powers': [98, 10, 234], 'representative': 45107, 'size': 242}
-
id: 110446147
{'aut_label': '20F3', 'centralizer': '242.a1', 'counter': 235, 'group_counter': 10, 'group_order': 48400, 'label': '20AE-1', 'order': 20, 'powers': [97, 10, 235], 'representative': 38503, 'size': 242}
-
id: 110446148
{'aut_label': '20F1', 'centralizer': '242.a1', 'counter': 236, 'group_counter': 10, 'group_order': 48400, 'label': '20AE3', 'order': 20, 'powers': [95, 10, 236], 'representative': 29701, 'size': 242}
-
id: 110446149
{'aut_label': '20F-1', 'centralizer': '242.a1', 'counter': 237, 'group_counter': 10, 'group_order': 48400, 'label': '20AE-3', 'order': 20, 'powers': [96, 10, 237], 'representative': 27509, 'size': 242}
-
id: 110446150
{'aut_label': '20G-1', 'centralizer': '242.b1', 'counter': 238, 'group_counter': 10, 'group_order': 48400, 'label': '20AF1', 'order': 20, 'powers': [98, 8, 238], 'representative': 44157, 'size': 242}
-
id: 110446151
{'aut_label': '20G1', 'centralizer': '242.b1', 'counter': 239, 'group_counter': 10, 'group_order': 48400, 'label': '20AF-1', 'order': 20, 'powers': [97, 8, 239], 'representative': 31693, 'size': 242}
-
id: 110446153
{'aut_label': '20G-3', 'centralizer': '242.b1', 'counter': 240, 'group_counter': 10, 'group_order': 48400, 'label': '20AF3', 'order': 20, 'powers': [95, 8, 240], 'representative': 23511, 'size': 242}
-
id: 110446154
{'aut_label': '20G3', 'centralizer': '242.b1', 'counter': 241, 'group_counter': 10, 'group_order': 48400, 'label': '20AF-3', 'order': 20, 'powers': [96, 8, 241], 'representative': 37039, 'size': 242}
-
id: 110446155
{'aut_label': '20G-3', 'centralizer': '242.b1', 'counter': 242, 'group_counter': 10, 'group_order': 48400, 'label': '20AG1', 'order': 20, 'powers': [100, 7, 242], 'representative': 46456, 'size': 242}
-
id: 110446156
{'aut_label': '20G3', 'centralizer': '242.b1', 'counter': 243, 'group_counter': 10, 'group_order': 48400, 'label': '20AG-1', 'order': 20, 'powers': [99, 7, 243], 'representative': 15254, 'size': 242}
-
id: 110446157
{'aut_label': '20G1', 'centralizer': '242.b1', 'counter': 244, 'group_counter': 10, 'group_order': 48400, 'label': '20AG3', 'order': 20, 'powers': [102, 7, 244], 'representative': 35958, 'size': 242}
-
id: 110446158
{'aut_label': '20G-1', 'centralizer': '242.b1', 'counter': 245, 'group_counter': 10, 'group_order': 48400, 'label': '20AG-3', 'order': 20, 'powers': [101, 7, 245], 'representative': 8772, 'size': 242}
-
id: 110446159
{'aut_label': '20G3', 'centralizer': '242.b1', 'counter': 246, 'group_counter': 10, 'group_order': 48400, 'label': '20AH1', 'order': 20, 'powers': [104, 8, 246], 'representative': 37579, 'size': 242}
-
id: 110446160
{'aut_label': '20G-3', 'centralizer': '242.b1', 'counter': 247, 'group_counter': 10, 'group_order': 48400, 'label': '20AH-1', 'order': 20, 'powers': [103, 8, 247], 'representative': 29251, 'size': 242}
-
id: 110446161
{'aut_label': '20G-1', 'centralizer': '242.b1', 'counter': 248, 'group_counter': 10, 'group_order': 48400, 'label': '20AH3', 'order': 20, 'powers': [106, 8, 248], 'representative': 43177, 'size': 242}
-
id: 110446162
{'aut_label': '20G1', 'centralizer': '242.b1', 'counter': 249, 'group_counter': 10, 'group_order': 48400, 'label': '20AH-3', 'order': 20, 'powers': [105, 8, 249], 'representative': 5433, 'size': 242}
-
id: 110446164
{'aut_label': '20G-3', 'centralizer': '242.b1', 'counter': 250, 'group_counter': 10, 'group_order': 48400, 'label': '20AI1', 'order': 20, 'powers': [103, 7, 250], 'representative': 23656, 'size': 242}
-
id: 110446165
{'aut_label': '20G3', 'centralizer': '242.b1', 'counter': 251, 'group_counter': 10, 'group_order': 48400, 'label': '20AI-1', 'order': 20, 'powers': [104, 7, 251], 'representative': 26734, 'size': 242}
-
id: 110446166
{'aut_label': '20G1', 'centralizer': '242.b1', 'counter': 252, 'group_counter': 10, 'group_order': 48400, 'label': '20AI3', 'order': 20, 'powers': [105, 7, 252], 'representative': 16178, 'size': 242}
-
id: 110446167
{'aut_label': '20G-1', 'centralizer': '242.b1', 'counter': 253, 'group_counter': 10, 'group_order': 48400, 'label': '20AI-3', 'order': 20, 'powers': [106, 7, 253], 'representative': 16612, 'size': 242}
-
id: 110446168
{'aut_label': '20G-3', 'centralizer': '242.b1', 'counter': 254, 'group_counter': 10, 'group_order': 48400, 'label': '20AJ1', 'order': 20, 'powers': [95, 7, 254], 'representative': 45156, 'size': 242}
-
id: 110446169
{'aut_label': '20G3', 'centralizer': '242.b1', 'counter': 255, 'group_counter': 10, 'group_order': 48400, 'label': '20AJ-1', 'order': 20, 'powers': [96, 7, 255], 'representative': 13614, 'size': 242}
-
id: 110446170
{'aut_label': '20G1', 'centralizer': '242.b1', 'counter': 256, 'group_counter': 10, 'group_order': 48400, 'label': '20AJ3', 'order': 20, 'powers': [97, 7, 256], 'representative': 36458, 'size': 242}
-
id: 110446171
{'aut_label': '20G-1', 'centralizer': '242.b1', 'counter': 257, 'group_counter': 10, 'group_order': 48400, 'label': '20AJ-3', 'order': 20, 'powers': [98, 7, 257], 'representative': 25032, 'size': 242}
-
id: 110446172
{'aut_label': '22A', 'centralizer': '10.e1', 'counter': 258, 'group_counter': 10, 'group_order': 48400, 'label': '22A', 'order': 22, 'powers': [107, 258, 2], 'representative': 2200, 'size': 10}
-
id: 110446173
{'aut_label': '22A', 'centralizer': '10.e1', 'counter': 259, 'group_counter': 10, 'group_order': 48400, 'label': '22B', 'order': 22, 'powers': [108, 259, 2], 'representative': 24400, 'size': 10}
-
id: 110446175
{'aut_label': '22C', 'centralizer': '20.c1', 'counter': 260, 'group_counter': 10, 'group_order': 48400, 'label': '22C', 'order': 22, 'powers': [109, 260, 2], 'representative': 2400, 'size': 20}
-
id: 110446176
{'aut_label': '22C', 'centralizer': '20.c1', 'counter': 261, 'group_counter': 10, 'group_order': 48400, 'label': '22D', 'order': 22, 'powers': [110, 261, 2], 'representative': 12040, 'size': 20}
-
id: 110446177
{'aut_label': '22C', 'centralizer': '20.c1', 'counter': 262, 'group_counter': 10, 'group_order': 48400, 'label': '22E', 'order': 22, 'powers': [111, 262, 2], 'representative': 16860, 'size': 20}
-
id: 110446178
{'aut_label': '22C', 'centralizer': '20.c1', 'counter': 263, 'group_counter': 10, 'group_order': 48400, 'label': '22F', 'order': 22, 'powers': [112, 263, 2], 'representative': 21680, 'size': 20}
-
id: 110446179
{'aut_label': '22C', 'centralizer': '20.c1', 'counter': 264, 'group_counter': 10, 'group_order': 48400, 'label': '22G', 'order': 22, 'powers': [113, 264, 2], 'representative': 40960, 'size': 20}
-
id: 110446180
{'aut_label': '44A', 'centralizer': '20.c1', 'counter': 265, 'group_counter': 10, 'group_order': 48400, 'label': '44A', 'order': 44, 'powers': [258, 265, 5], 'representative': 1100, 'size': 20}
-
id: 110446181
{'aut_label': '44A', 'centralizer': '20.c1', 'counter': 266, 'group_counter': 10, 'group_order': 48400, 'label': '44B', 'order': 44, 'powers': [259, 266, 5], 'representative': 36400, 'size': 20}
-
id: 110446182
{'aut_label': '44C1', 'centralizer': '20.c1', 'counter': 267, 'group_counter': 10, 'group_order': 48400, 'label': '44C1', 'order': 44, 'powers': [260, 267, 5], 'representative': 1200, 'size': 20}
-
id: 110446183
{'aut_label': '44C1', 'centralizer': '20.c1', 'counter': 268, 'group_counter': 10, 'group_order': 48400, 'label': '44C-1', 'order': 44, 'powers': [260, 268, 5], 'representative': 42580, 'size': 20}
-
id: 110446184
{'aut_label': '44C1', 'centralizer': '20.c1', 'counter': 269, 'group_counter': 10, 'group_order': 48400, 'label': '44D1', 'order': 44, 'powers': [261, 269, 5], 'representative': 6020, 'size': 20}
-
id: 110446186
{'aut_label': '44C1', 'centralizer': '20.c1', 'counter': 270, 'group_counter': 10, 'group_order': 48400, 'label': '44D-1', 'order': 44, 'powers': [261, 270, 5], 'representative': 37760, 'size': 20}
-
id: 110446187
{'aut_label': '44C1', 'centralizer': '20.c1', 'counter': 271, 'group_counter': 10, 'group_order': 48400, 'label': '44E1', 'order': 44, 'powers': [262, 271, 5], 'representative': 6120, 'size': 20}
-
id: 110446188
{'aut_label': '44C1', 'centralizer': '20.c1', 'counter': 272, 'group_counter': 10, 'group_order': 48400, 'label': '44E-1', 'order': 44, 'powers': [262, 272, 5], 'representative': 37660, 'size': 20}
-
id: 110446189
{'aut_label': '44C1', 'centralizer': '20.c1', 'counter': 273, 'group_counter': 10, 'group_order': 48400, 'label': '44F1', 'order': 44, 'powers': [263, 273, 5], 'representative': 10840, 'size': 20}
-
id: 110446190
{'aut_label': '44C1', 'centralizer': '20.c1', 'counter': 274, 'group_counter': 10, 'group_order': 48400, 'label': '44F-1', 'order': 44, 'powers': [263, 274, 5], 'representative': 32940, 'size': 20}
-
id: 110446191
{'aut_label': '44C1', 'centralizer': '20.c1', 'counter': 275, 'group_counter': 10, 'group_order': 48400, 'label': '44G1', 'order': 44, 'powers': [264, 275, 5], 'representative': 20480, 'size': 20}
-
id: 110446192
{'aut_label': '44C1', 'centralizer': '20.c1', 'counter': 276, 'group_counter': 10, 'group_order': 48400, 'label': '44G-1', 'order': 44, 'powers': [264, 276, 5], 'representative': 23300, 'size': 20}
-
id: 110446193
{'aut_label': '44H', 'centralizer': '220.j1', 'counter': 277, 'group_counter': 10, 'group_order': 48400, 'label': '44H', 'order': 44, 'powers': [259, 277, 6], 'representative': 50, 'size': 220}
-
id: 110446194
{'aut_label': '44H', 'centralizer': '220.j1', 'counter': 278, 'group_counter': 10, 'group_order': 48400, 'label': '44I', 'order': 44, 'powers': [259, 278, 7], 'representative': 9950, 'size': 220}
-
id: 110446195
{'aut_label': '44H', 'centralizer': '220.j1', 'counter': 279, 'group_counter': 10, 'group_order': 48400, 'label': '44J', 'order': 44, 'powers': [258, 279, 8], 'representative': 895, 'size': 220}
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id: 110446197
{'aut_label': '44H', 'centralizer': '220.j1', 'counter': 280, 'group_counter': 10, 'group_order': 48400, 'label': '44K', 'order': 44, 'powers': [258, 280, 9], 'representative': 1995, 'size': 220}
-
id: 110446198
{'aut_label': '55A1', 'centralizer': '10.e1', 'counter': 281, 'group_counter': 10, 'group_order': 48400, 'label': '55A1', 'order': 55, 'powers': [283, 107, 14], 'representative': 880, 'size': 10}
-
id: 110446199
{'aut_label': '55A1', 'centralizer': '10.e1', 'counter': 282, 'group_counter': 10, 'group_order': 48400, 'label': '55A-1', 'order': 55, 'powers': [284, 107, 13], 'representative': 47520, 'size': 10}
-
id: 110446200
{'aut_label': '55A1', 'centralizer': '10.e1', 'counter': 283, 'group_counter': 10, 'group_order': 48400, 'label': '55A2', 'order': 55, 'powers': [282, 107, 11], 'representative': 1760, 'size': 10}
-
id: 110446201
{'aut_label': '55A1', 'centralizer': '10.e1', 'counter': 284, 'group_counter': 10, 'group_order': 48400, 'label': '55A-2', 'order': 55, 'powers': [281, 107, 12], 'representative': 46640, 'size': 10}
-
id: 110446202
{'aut_label': '55A1', 'centralizer': '10.e1', 'counter': 285, 'group_counter': 10, 'group_order': 48400, 'label': '55B1', 'order': 55, 'powers': [287, 108, 12], 'representative': 9760, 'size': 10}
-
id: 110446203
{'aut_label': '55A1', 'centralizer': '10.e1', 'counter': 286, 'group_counter': 10, 'group_order': 48400, 'label': '55B-1', 'order': 55, 'powers': [288, 108, 11], 'representative': 34020, 'size': 10}
-
id: 110446204
{'aut_label': '55A1', 'centralizer': '10.e1', 'counter': 287, 'group_counter': 10, 'group_order': 48400, 'label': '55B2', 'order': 55, 'powers': [286, 108, 14], 'representative': 19520, 'size': 10}
-
id: 110446205
{'aut_label': '55A1', 'centralizer': '10.e1', 'counter': 288, 'group_counter': 10, 'group_order': 48400, 'label': '55B-2', 'order': 55, 'powers': [285, 108, 13], 'representative': 24260, 'size': 10}
-
id: 110446206
{'aut_label': '55C1', 'centralizer': '20.c1', 'counter': 289, 'group_counter': 10, 'group_order': 48400, 'label': '55C1', 'order': 55, 'powers': [291, 109, 12], 'representative': 960, 'size': 20}
-
id: 110446208
{'aut_label': '55C1', 'centralizer': '20.c1', 'counter': 290, 'group_counter': 10, 'group_order': 48400, 'label': '55C-1', 'order': 55, 'powers': [292, 109, 11], 'representative': 42820, 'size': 20}
-
id: 110446209
{'aut_label': '55C1', 'centralizer': '20.c1', 'counter': 291, 'group_counter': 10, 'group_order': 48400, 'label': '55C2', 'order': 55, 'powers': [290, 109, 14], 'representative': 1920, 'size': 20}
-
id: 110446210
{'aut_label': '55C1', 'centralizer': '20.c1', 'counter': 292, 'group_counter': 10, 'group_order': 48400, 'label': '55C-2', 'order': 55, 'powers': [289, 109, 13], 'representative': 41860, 'size': 20}
-
id: 110446211
{'aut_label': '55C1', 'centralizer': '20.c1', 'counter': 293, 'group_counter': 10, 'group_order': 48400, 'label': '55D1', 'order': 55, 'powers': [295, 110, 11], 'representative': 5740, 'size': 20}
-
id: 110446212
{'aut_label': '55C1', 'centralizer': '20.c1', 'counter': 294, 'group_counter': 10, 'group_order': 48400, 'label': '55D-1', 'order': 55, 'powers': [296, 110, 12], 'representative': 38040, 'size': 20}
-
id: 110446213
{'aut_label': '55C1', 'centralizer': '20.c1', 'counter': 295, 'group_counter': 10, 'group_order': 48400, 'label': '55D2', 'order': 55, 'powers': [294, 110, 13], 'representative': 11480, 'size': 20}
-
id: 110446214
{'aut_label': '55C1', 'centralizer': '20.c1', 'counter': 296, 'group_counter': 10, 'group_order': 48400, 'label': '55D-2', 'order': 55, 'powers': [293, 110, 14], 'representative': 32300, 'size': 20}
-
id: 110446215
{'aut_label': '55C1', 'centralizer': '20.c1', 'counter': 297, 'group_counter': 10, 'group_order': 48400, 'label': '55E1', 'order': 55, 'powers': [299, 111, 13], 'representative': 5820, 'size': 20}
-
id: 110446216
{'aut_label': '55C1', 'centralizer': '20.c1', 'counter': 298, 'group_counter': 10, 'group_order': 48400, 'label': '55E-1', 'order': 55, 'powers': [300, 111, 14], 'representative': 37960, 'size': 20}
-
id: 110446217
{'aut_label': '55C1', 'centralizer': '20.c1', 'counter': 299, 'group_counter': 10, 'group_order': 48400, 'label': '55E2', 'order': 55, 'powers': [298, 111, 12], 'representative': 11640, 'size': 20}
-
id: 110446220
{'aut_label': '55C1', 'centralizer': '20.c1', 'counter': 300, 'group_counter': 10, 'group_order': 48400, 'label': '55E-2', 'order': 55, 'powers': [297, 111, 11], 'representative': 32140, 'size': 20}
-
id: 110446221
{'aut_label': '55C1', 'centralizer': '20.c1', 'counter': 301, 'group_counter': 10, 'group_order': 48400, 'label': '55F1', 'order': 55, 'powers': [303, 112, 14], 'representative': 5900, 'size': 20}
-
id: 110446222
{'aut_label': '55C1', 'centralizer': '20.c1', 'counter': 302, 'group_counter': 10, 'group_order': 48400, 'label': '55F-1', 'order': 55, 'powers': [304, 112, 13], 'representative': 37880, 'size': 20}
-
id: 110446223
{'aut_label': '55C1', 'centralizer': '20.c1', 'counter': 303, 'group_counter': 10, 'group_order': 48400, 'label': '55F2', 'order': 55, 'powers': [302, 112, 11], 'representative': 16420, 'size': 20}
-
id: 110446224
{'aut_label': '55C1', 'centralizer': '20.c1', 'counter': 304, 'group_counter': 10, 'group_order': 48400, 'label': '55F-2', 'order': 55, 'powers': [301, 112, 12], 'representative': 27360, 'size': 20}
-
id: 110446225
{'aut_label': '55C1', 'centralizer': '20.c1', 'counter': 305, 'group_counter': 10, 'group_order': 48400, 'label': '55G1', 'order': 55, 'powers': [307, 113, 13], 'representative': 15460, 'size': 20}
-
id: 110446226
{'aut_label': '55C1', 'centralizer': '20.c1', 'counter': 306, 'group_counter': 10, 'group_order': 48400, 'label': '55G-1', 'order': 55, 'powers': [308, 113, 14], 'representative': 28320, 'size': 20}
-
id: 110446227
{'aut_label': '55C1', 'centralizer': '20.c1', 'counter': 307, 'group_counter': 10, 'group_order': 48400, 'label': '55G2', 'order': 55, 'powers': [306, 113, 12], 'representative': 30920, 'size': 20}
-
id: 110446228
{'aut_label': '55C1', 'centralizer': '20.c1', 'counter': 308, 'group_counter': 10, 'group_order': 48400, 'label': '55G-2', 'order': 55, 'powers': [305, 113, 11], 'representative': 12860, 'size': 20}
-
id: 110446229
{'aut_label': '110A1', 'centralizer': '10.e1', 'counter': 309, 'group_counter': 10, 'group_order': 48400, 'label': '110A1', 'order': 110, 'powers': [281, 258, 35], 'representative': 440, 'size': 10}
-
id: 110446231
{'aut_label': '110A1', 'centralizer': '10.e1', 'counter': 310, 'group_counter': 10, 'group_order': 48400, 'label': '110A-1', 'order': 110, 'powers': [282, 258, 36], 'representative': 47960, 'size': 10}
-
id: 110446232
{'aut_label': '110A1', 'centralizer': '10.e1', 'counter': 311, 'group_counter': 10, 'group_order': 48400, 'label': '110A3', 'order': 110, 'powers': [284, 258, 37], 'representative': 1320, 'size': 10}
-
id: 110446233
{'aut_label': '110A1', 'centralizer': '10.e1', 'counter': 312, 'group_counter': 10, 'group_order': 48400, 'label': '110A-3', 'order': 110, 'powers': [283, 258, 38], 'representative': 47080, 'size': 10}
-
id: 110446234
{'aut_label': '110A1', 'centralizer': '10.e1', 'counter': 313, 'group_counter': 10, 'group_order': 48400, 'label': '110B1', 'order': 110, 'powers': [285, 259, 37], 'representative': 4880, 'size': 10}
-
id: 110446235
{'aut_label': '110A1', 'centralizer': '10.e1', 'counter': 314, 'group_counter': 10, 'group_order': 48400, 'label': '110B-1', 'order': 110, 'powers': [286, 259, 38], 'representative': 38900, 'size': 10}
-
id: 110446236
{'aut_label': '110A1', 'centralizer': '10.e1', 'counter': 315, 'group_counter': 10, 'group_order': 48400, 'label': '110B3', 'order': 110, 'powers': [288, 259, 36], 'representative': 14640, 'size': 10}
-
id: 110446237
{'aut_label': '110A1', 'centralizer': '10.e1', 'counter': 316, 'group_counter': 10, 'group_order': 48400, 'label': '110B-3', 'order': 110, 'powers': [287, 259, 35], 'representative': 29140, 'size': 10}
-
id: 110446238
{'aut_label': '110C1', 'centralizer': '20.c1', 'counter': 317, 'group_counter': 10, 'group_order': 48400, 'label': '110C1', 'order': 110, 'powers': [289, 260, 37], 'representative': 480, 'size': 20}
-
id: 110446239
{'aut_label': '110C1', 'centralizer': '20.c1', 'counter': 318, 'group_counter': 10, 'group_order': 48400, 'label': '110C-1', 'order': 110, 'powers': [290, 260, 38], 'representative': 43300, 'size': 20}
-
id: 110446240
{'aut_label': '110C1', 'centralizer': '20.c1', 'counter': 319, 'group_counter': 10, 'group_order': 48400, 'label': '110C3', 'order': 110, 'powers': [292, 260, 36], 'representative': 1440, 'size': 20}
-
id: 110446242
{'aut_label': '110C1', 'centralizer': '20.c1', 'counter': 320, 'group_counter': 10, 'group_order': 48400, 'label': '110C-3', 'order': 110, 'powers': [291, 260, 35], 'representative': 42340, 'size': 20}
-
id: 110446243
{'aut_label': '110C1', 'centralizer': '20.c1', 'counter': 321, 'group_counter': 10, 'group_order': 48400, 'label': '110D1', 'order': 110, 'powers': [293, 261, 38], 'representative': 560, 'size': 20}
-
id: 110446244
{'aut_label': '110C1', 'centralizer': '20.c1', 'counter': 322, 'group_counter': 10, 'group_order': 48400, 'label': '110D-1', 'order': 110, 'powers': [294, 261, 37], 'representative': 43220, 'size': 20}
-
id: 110446245
{'aut_label': '110C1', 'centralizer': '20.c1', 'counter': 323, 'group_counter': 10, 'group_order': 48400, 'label': '110D3', 'order': 110, 'powers': [296, 261, 35], 'representative': 6300, 'size': 20}
-
id: 110446246
{'aut_label': '110C1', 'centralizer': '20.c1', 'counter': 324, 'group_counter': 10, 'group_order': 48400, 'label': '110D-3', 'order': 110, 'powers': [295, 261, 36], 'representative': 37480, 'size': 20}
-
id: 110446247
{'aut_label': '110C1', 'centralizer': '20.c1', 'counter': 325, 'group_counter': 10, 'group_order': 48400, 'label': '110E1', 'order': 110, 'powers': [297, 262, 36], 'representative': 600, 'size': 20}
-
id: 110446248
{'aut_label': '110C1', 'centralizer': '20.c1', 'counter': 326, 'group_counter': 10, 'group_order': 48400, 'label': '110E-1', 'order': 110, 'powers': [298, 262, 35], 'representative': 43180, 'size': 20}
-
id: 110446249
{'aut_label': '110C1', 'centralizer': '20.c1', 'counter': 327, 'group_counter': 10, 'group_order': 48400, 'label': '110E3', 'order': 110, 'powers': [300, 262, 38], 'representative': 11040, 'size': 20}
-
id: 110446250
{'aut_label': '110C1', 'centralizer': '20.c1', 'counter': 328, 'group_counter': 10, 'group_order': 48400, 'label': '110E-3', 'order': 110, 'powers': [299, 262, 37], 'representative': 32740, 'size': 20}
-
id: 110446251
{'aut_label': '110C1', 'centralizer': '20.c1', 'counter': 329, 'group_counter': 10, 'group_order': 48400, 'label': '110F1', 'order': 110, 'powers': [301, 263, 35], 'representative': 640, 'size': 20}
-
id: 110446253
{'aut_label': '110C1', 'centralizer': '20.c1', 'counter': 330, 'group_counter': 10, 'group_order': 48400, 'label': '110F-1', 'order': 110, 'powers': [302, 263, 36], 'representative': 43140, 'size': 20}
-
id: 110446254
{'aut_label': '110C1', 'centralizer': '20.c1', 'counter': 331, 'group_counter': 10, 'group_order': 48400, 'label': '110F3', 'order': 110, 'powers': [304, 263, 37], 'representative': 11160, 'size': 20}
-
id: 110446255
{'aut_label': '110C1', 'centralizer': '20.c1', 'counter': 332, 'group_counter': 10, 'group_order': 48400, 'label': '110F-3', 'order': 110, 'powers': [303, 263, 38], 'representative': 32620, 'size': 20}
-
id: 110446256
{'aut_label': '110C1', 'centralizer': '20.c1', 'counter': 333, 'group_counter': 10, 'group_order': 48400, 'label': '110G1', 'order': 110, 'powers': [305, 264, 36], 'representative': 5420, 'size': 20}
-
id: 110446257
{'aut_label': '110C1', 'centralizer': '20.c1', 'counter': 334, 'group_counter': 10, 'group_order': 48400, 'label': '110G-1', 'order': 110, 'powers': [306, 264, 35], 'representative': 38360, 'size': 20}
-
id: 110446258
{'aut_label': '110C1', 'centralizer': '20.c1', 'counter': 335, 'group_counter': 10, 'group_order': 48400, 'label': '110G3', 'order': 110, 'powers': [308, 264, 38], 'representative': 20880, 'size': 20}
-
id: 110446259
{'aut_label': '110C1', 'centralizer': '20.c1', 'counter': 336, 'group_counter': 10, 'group_order': 48400, 'label': '110G-3', 'order': 110, 'powers': [307, 264, 37], 'representative': 22900, 'size': 20}
-
id: 110446260
{'aut_label': '220A1', 'centralizer': '20.c1', 'counter': 337, 'group_counter': 10, 'group_order': 48400, 'label': '220A1', 'order': 220, 'powers': [309, 265, 114], 'representative': 220, 'size': 20}
-
id: 110446261
{'aut_label': '220A1', 'centralizer': '20.c1', 'counter': 338, 'group_counter': 10, 'group_order': 48400, 'label': '220A-1', 'order': 220, 'powers': [310, 265, 115], 'representative': 1980, 'size': 20}
-
id: 110446262
{'aut_label': '220A1', 'centralizer': '20.c1', 'counter': 339, 'group_counter': 10, 'group_order': 48400, 'label': '220A3', 'order': 220, 'powers': [311, 265, 116], 'representative': 660, 'size': 20}
-
id: 110446264
{'aut_label': '220A1', 'centralizer': '20.c1', 'counter': 340, 'group_counter': 10, 'group_order': 48400, 'label': '220A-3', 'order': 220, 'powers': [312, 265, 117], 'representative': 3740, 'size': 20}
-
id: 110446265
{'aut_label': '220A1', 'centralizer': '20.c1', 'counter': 341, 'group_counter': 10, 'group_order': 48400, 'label': '220B1', 'order': 220, 'powers': [313, 266, 116], 'representative': 26640, 'size': 20}
-
id: 110446266
{'aut_label': '220A1', 'centralizer': '20.c1', 'counter': 342, 'group_counter': 10, 'group_order': 48400, 'label': '220B-1', 'order': 220, 'powers': [314, 266, 117], 'representative': 26680, 'size': 20}
-
id: 110446267
{'aut_label': '220A1', 'centralizer': '20.c1', 'counter': 343, 'group_counter': 10, 'group_order': 48400, 'label': '220B3', 'order': 220, 'powers': [315, 266, 115], 'representative': 26700, 'size': 20}
-
id: 110446268
{'aut_label': '220A1', 'centralizer': '20.c1', 'counter': 344, 'group_counter': 10, 'group_order': 48400, 'label': '220B-3', 'order': 220, 'powers': [316, 266, 114], 'representative': 26720, 'size': 20}
-
id: 110446269
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 345, 'group_counter': 10, 'group_order': 48400, 'label': '220C1', 'order': 220, 'powers': [317, 267, 116], 'representative': 240, 'size': 20}
-
id: 110446270
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 346, 'group_counter': 10, 'group_order': 48400, 'label': '220C-1', 'order': 220, 'powers': [318, 268, 117], 'representative': 2900, 'size': 20}
-
id: 110446271
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 347, 'group_counter': 10, 'group_order': 48400, 'label': '220C3', 'order': 220, 'powers': [319, 268, 115], 'representative': 720, 'size': 20}
-
id: 110446272
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 348, 'group_counter': 10, 'group_order': 48400, 'label': '220C-3', 'order': 220, 'powers': [320, 267, 114], 'representative': 420, 'size': 20}
-
id: 110446273
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 349, 'group_counter': 10, 'group_order': 48400, 'label': '220C7', 'order': 220, 'powers': [320, 268, 114], 'representative': 13520, 'size': 20}
-
id: 110446275
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 350, 'group_counter': 10, 'group_order': 48400, 'label': '220C-7', 'order': 220, 'powers': [319, 267, 115], 'representative': 35500, 'size': 20}
-
id: 110446276
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 351, 'group_counter': 10, 'group_order': 48400, 'label': '220C9', 'order': 220, 'powers': [318, 267, 117], 'representative': 1220, 'size': 20}
-
id: 110446277
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 352, 'group_counter': 10, 'group_order': 48400, 'label': '220C-9', 'order': 220, 'powers': [317, 268, 116], 'representative': 4640, 'size': 20}
-
id: 110446278
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 353, 'group_counter': 10, 'group_order': 48400, 'label': '220D1', 'order': 220, 'powers': [321, 269, 117], 'representative': 280, 'size': 20}
-
id: 110446279
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 354, 'group_counter': 10, 'group_order': 48400, 'label': '220D-1', 'order': 220, 'powers': [322, 270, 116], 'representative': 1180, 'size': 20}
-
id: 110446280
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 355, 'group_counter': 10, 'group_order': 48400, 'label': '220D3', 'order': 220, 'powers': [323, 270, 114], 'representative': 22320, 'size': 20}
-
id: 110446281
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 356, 'group_counter': 10, 'group_order': 48400, 'label': '220D-3', 'order': 220, 'powers': [324, 269, 115], 'representative': 13500, 'size': 20}
-
id: 110446282
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 357, 'group_counter': 10, 'group_order': 48400, 'label': '220D7', 'order': 220, 'powers': [324, 270, 115], 'representative': 1240, 'size': 20}
-
id: 110446283
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 358, 'group_counter': 10, 'group_order': 48400, 'label': '220D-7', 'order': 220, 'powers': [323, 269, 114], 'representative': 2100, 'size': 20}
-
id: 110446284
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 359, 'group_counter': 10, 'group_order': 48400, 'label': '220D9', 'order': 220, 'powers': [322, 269, 116], 'representative': 17840, 'size': 20}
-
id: 110446286
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 360, 'group_counter': 10, 'group_order': 48400, 'label': '220D-9', 'order': 220, 'powers': [321, 270, 117], 'representative': 700, 'size': 20}
-
id: 110446287
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 361, 'group_counter': 10, 'group_order': 48400, 'label': '220E1', 'order': 220, 'powers': [325, 271, 115], 'representative': 300, 'size': 20}
-
id: 110446288
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 362, 'group_counter': 10, 'group_order': 48400, 'label': '220E-1', 'order': 220, 'powers': [326, 272, 114], 'representative': 17920, 'size': 20}
-
id: 110446289
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 363, 'group_counter': 10, 'group_order': 48400, 'label': '220E3', 'order': 220, 'powers': [327, 272, 117], 'representative': 31080, 'size': 20}
-
id: 110446290
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 364, 'group_counter': 10, 'group_order': 48400, 'label': '220E-3', 'order': 220, 'powers': [328, 271, 116], 'representative': 9040, 'size': 20}
-
id: 110446291
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 365, 'group_counter': 10, 'group_order': 48400, 'label': '220E7', 'order': 220, 'powers': [328, 272, 116], 'representative': 17940, 'size': 20}
-
id: 110446292
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 366, 'group_counter': 10, 'group_order': 48400, 'label': '220E-7', 'order': 220, 'powers': [327, 271, 117], 'representative': 22280, 'size': 20}
-
id: 110446293
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 367, 'group_counter': 10, 'group_order': 48400, 'label': '220E9', 'order': 220, 'powers': [326, 271, 114], 'representative': 3780, 'size': 20}
-
id: 110446294
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 368, 'group_counter': 10, 'group_order': 48400, 'label': '220E-9', 'order': 220, 'powers': [325, 272, 115], 'representative': 1140, 'size': 20}
-
id: 110446295
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 369, 'group_counter': 10, 'group_order': 48400, 'label': '220F1', 'order': 220, 'powers': [329, 273, 114], 'representative': 320, 'size': 20}
-
id: 110446297
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 370, 'group_counter': 10, 'group_order': 48400, 'label': '220F-1', 'order': 220, 'powers': [330, 274, 115], 'representative': 44300, 'size': 20}
-
id: 110446298
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 371, 'group_counter': 10, 'group_order': 48400, 'label': '220F3', 'order': 220, 'powers': [331, 274, 116], 'representative': 22240, 'size': 20}
-
id: 110446299
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 372, 'group_counter': 10, 'group_order': 48400, 'label': '220F-3', 'order': 220, 'powers': [332, 273, 117], 'representative': 800, 'size': 20}
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id: 110446300
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 373, 'group_counter': 10, 'group_order': 48400, 'label': '220F7', 'order': 220, 'powers': [332, 274, 117], 'representative': 13480, 'size': 20}
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id: 110446301
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 374, 'group_counter': 10, 'group_order': 48400, 'label': '220F-7', 'order': 220, 'powers': [331, 273, 116], 'representative': 340, 'size': 20}
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id: 110446302
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 375, 'group_counter': 10, 'group_order': 48400, 'label': '220F9', 'order': 220, 'powers': [330, 273, 115], 'representative': 9100, 'size': 20}
-
id: 110446303
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 376, 'group_counter': 10, 'group_order': 48400, 'label': '220F-9', 'order': 220, 'powers': [329, 274, 114], 'representative': 4720, 'size': 20}
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id: 110446304
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 377, 'group_counter': 10, 'group_order': 48400, 'label': '220G1', 'order': 220, 'powers': [333, 275, 115], 'representative': 400, 'size': 20}
-
id: 110446305
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 378, 'group_counter': 10, 'group_order': 48400, 'label': '220G-1', 'order': 220, 'powers': [334, 276, 114], 'representative': 9120, 'size': 20}
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id: 110446306
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 379, 'group_counter': 10, 'group_order': 48400, 'label': '220G3', 'order': 220, 'powers': [335, 276, 117], 'representative': 2060, 'size': 20}
-
id: 110446308
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 380, 'group_counter': 10, 'group_order': 48400, 'label': '220G-3', 'order': 220, 'powers': [336, 275, 116], 'representative': 39840, 'size': 20}
-
id: 110446309
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 381, 'group_counter': 10, 'group_order': 48400, 'label': '220G7', 'order': 220, 'powers': [336, 276, 116], 'representative': 13440, 'size': 20}
-
id: 110446310
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 382, 'group_counter': 10, 'group_order': 48400, 'label': '220G-7', 'order': 220, 'powers': [335, 275, 117], 'representative': 1120, 'size': 20}
-
id: 110446311
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 383, 'group_counter': 10, 'group_order': 48400, 'label': '220G9', 'order': 220, 'powers': [334, 275, 114], 'representative': 2940, 'size': 20}
-
id: 110446312
{'aut_label': '220C1', 'centralizer': '20.c1', 'counter': 384, 'group_counter': 10, 'group_order': 48400, 'label': '220G-9', 'order': 220, 'powers': [333, 276, 115], 'representative': 3760, 'size': 20}
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id: 110446313
{'aut_label': '220H1', 'centralizer': '220.j1', 'counter': 385, 'group_counter': 10, 'group_order': 48400, 'label': '220H1', 'order': 220, 'powers': [316, 277, 118], 'representative': 10, 'size': 220}
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id: 110446314
{'aut_label': '220H1', 'centralizer': '220.j1', 'counter': 386, 'group_counter': 10, 'group_order': 48400, 'label': '220H-1', 'order': 220, 'powers': [315, 277, 119], 'representative': 1770, 'size': 220}
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id: 110446315
{'aut_label': '220H1', 'centralizer': '220.j1', 'counter': 387, 'group_counter': 10, 'group_order': 48400, 'label': '220H3', 'order': 220, 'powers': [313, 277, 120], 'representative': 450, 'size': 220}
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id: 110446316
{'aut_label': '220H1', 'centralizer': '220.j1', 'counter': 388, 'group_counter': 10, 'group_order': 48400, 'label': '220H-3', 'order': 220, 'powers': [314, 277, 121], 'representative': 70, 'size': 220}
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id: 110446317
{'aut_label': '220H1', 'centralizer': '220.j1', 'counter': 389, 'group_counter': 10, 'group_order': 48400, 'label': '220I1', 'order': 220, 'powers': [314, 278, 122], 'representative': 230, 'size': 220}
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id: 110446319
{'aut_label': '220H1', 'centralizer': '220.j1', 'counter': 390, 'group_counter': 10, 'group_order': 48400, 'label': '220I-1', 'order': 220, 'powers': [313, 278, 123], 'representative': 290, 'size': 220}
-
id: 110446320
{'aut_label': '220H1', 'centralizer': '220.j1', 'counter': 391, 'group_counter': 10, 'group_order': 48400, 'label': '220I3', 'order': 220, 'powers': [316, 278, 124], 'representative': 1110, 'size': 220}
-
id: 110446321
{'aut_label': '220H1', 'centralizer': '220.j1', 'counter': 392, 'group_counter': 10, 'group_order': 48400, 'label': '220I-3', 'order': 220, 'powers': [315, 278, 125], 'representative': 670, 'size': 220}
-
id: 110446322
{'aut_label': '220H1', 'centralizer': '220.j1', 'counter': 393, 'group_counter': 10, 'group_order': 48400, 'label': '220J1', 'order': 220, 'powers': [309, 279, 126], 'representative': 15, 'size': 220}
-
id: 110446323
{'aut_label': '220H1', 'centralizer': '220.j1', 'counter': 394, 'group_counter': 10, 'group_order': 48400, 'label': '220J-1', 'order': 220, 'powers': [310, 279, 127], 'representative': 1775, 'size': 220}
-
id: 110446324
{'aut_label': '220H1', 'centralizer': '220.j1', 'counter': 395, 'group_counter': 10, 'group_order': 48400, 'label': '220J3', 'order': 220, 'powers': [311, 279, 128], 'representative': 455, 'size': 220}
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id: 110446325
{'aut_label': '220H1', 'centralizer': '220.j1', 'counter': 396, 'group_counter': 10, 'group_order': 48400, 'label': '220J-3', 'order': 220, 'powers': [312, 279, 129], 'representative': 75, 'size': 220}
-
id: 110446326
{'aut_label': '220H1', 'centralizer': '220.j1', 'counter': 397, 'group_counter': 10, 'group_order': 48400, 'label': '220K1', 'order': 220, 'powers': [312, 280, 130], 'representative': 235, 'size': 220}
-
id: 110446327
{'aut_label': '220H1', 'centralizer': '220.j1', 'counter': 398, 'group_counter': 10, 'group_order': 48400, 'label': '220K-1', 'order': 220, 'powers': [311, 280, 131], 'representative': 295, 'size': 220}
-
id: 110446328
{'aut_label': '220H1', 'centralizer': '220.j1', 'counter': 399, 'group_counter': 10, 'group_order': 48400, 'label': '220K3', 'order': 220, 'powers': [309, 280, 132], 'representative': 1115, 'size': 220}
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id: 110446331
{'aut_label': '220H1', 'centralizer': '220.j1', 'counter': 400, 'group_counter': 10, 'group_order': 48400, 'label': '220K-3', 'order': 220, 'powers': [310, 280, 133], 'representative': 675, 'size': 220}
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gps_qchar • Show schema
Hide schema
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id: 4629198
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '48400.j', 'group_order': 48400, 'image': None, 'label': '48400.j.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
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id: 4629230
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '48400.j', 'group_order': 48400, 'image': None, 'label': '48400.j.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1], 'schur_index': 1}
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id: 4629241
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '48400.j', 'group_order': 48400, 'image': None, 'label': '48400.j.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1], 'schur_index': 1}
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id: 4629252
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '48400.j', 'group_order': 48400, 'image': None, 'label': '48400.j.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1], 'schur_index': 1}
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id: 4629263
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '48400.j', 'group_order': 48400, 'image': None, 'label': '48400.j.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1], 'schur_index': 1}
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id: 4629274
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id: 4629206
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id: 4629207
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id: 4629219
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id: 4629220
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id: 4629222
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gps_char • Show schema
Hide schema
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id: 7353455
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id: 7353835
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id: 7353836
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id: 7353837
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id: 7353838
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id: 7353839
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id: 7353840
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id: 7353841
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id: 7353842
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id: 7353843
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id: 7353845
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id: 7353846
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id: 7353847
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id: 7353848
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id: 7353849
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id: 7353850
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id: 7353851
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id: 7353852
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id: 7353853
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id: 7353854
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id: 7353457
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id: 7353458
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id: 7353459
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id: 7353460
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id: 7353461
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id: 7353462
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id: 7353463
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id: 7353464
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id: 7353465
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id: 7353466
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id: 7353468
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id: 7353469
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id: 7353470
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id: 7353471
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id: 7353472
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id: 7353473
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id: 7353474
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id: 7353475
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id: 7353476
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id: 7353477
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id: 7353479
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id: 7353480
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id: 7353481
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id: 7353482
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id: 7353483
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id: 7353484
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id: 7353485
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id: 7353486
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id: 7353487
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id: 7353488
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id: 7353490
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id: 7353491
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id: 7353492
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id: 7353493
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id: 7353494
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id: 7353495
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id: 7353496
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id: 7353497
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id: 7353498
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id: 7353499
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id: 7353501
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id: 7353502
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id: 7353503
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id: 7353504
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id: 7353505
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id: 7353506
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id: 7353507
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id: 7353508
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id: 7353509
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id: 7353510
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id: 7353512
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id: 7353513
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id: 7353514
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id: 7353515
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id: 7353516
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id: 7353517
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id: 7353518
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id: 7353519
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id: 7353520
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id: 7353521
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id: 7353523
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id: 7353524
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id: 7353525
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id: 7353526
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id: 7353527
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id: 7353528
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id: 7353529
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id: 7353530
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id: 7353531
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id: 7353532
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id: 7353534
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id: 7353535
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id: 7353536
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id: 7353537
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id: 7353538
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id: 7353539
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id: 7353540
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id: 7353541
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id: 7353542
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id: 7353543
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id: 7353545
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id: 7353546
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id: 7353547
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id: 7353548
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id: 7353549
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id: 7353566
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id: 7353550
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id: 7353551
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id: 7353552
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id: 7353553
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id: 7353554
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id: 7353556
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id: 7353557
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id: 7353558
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id: 7353559
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id: 7353560
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id: 7353561
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id: 7353562
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id: 7353563
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id: 7353564
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id: 7353565
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id: 7353568
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id: 7353677
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id: 7353788
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id: 7353800
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id: 7353822
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id: 7353833
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id: 7353844
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id: 7353456
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id: 7353467
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id: 7353478
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id: 7353489
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id: 7353500
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id: 7353511
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id: 7353522
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id: 7353533
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id: 7353544
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id: 7353555
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id: 7353567
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id: 7353578
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id: 7353589
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id: 7353600
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id: 7353611
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id: 7353622
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id: 7353633
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id: 7353644
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id: 7353655
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id: 7353666
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id: 7353678
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id: 7353689
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id: 7353700
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id: 7353711
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id: 7353722
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id: 7353733
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id: 7353744
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id: 7353755
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id: 7353766
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id: 7353777
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id: 7353789
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id: 7353791
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id: 7353792
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id: 7353793
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id: 7353794
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id: 7353795
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id: 7353796
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id: 7353797
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id: 7353798
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id: 7353799
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id: 7353801
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id: 7353802
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id: 7353803
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id: 7353804
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id: 7353805
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id: 7353806
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id: 7353807
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id: 7353808
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id: 7353809
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id: 7353810
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id: 7353812
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id: 7353813
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id: 7353814
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id: 7353815
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id: 7353816
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id: 7353817
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id: 7353818
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id: 7353819
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id: 7353820
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id: 7353821
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id: 7353823
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id: 7353824
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id: 7353825
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id: 7353826
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id: 7353827
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id: 7353828
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id: 7353829
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id: 7353830
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id: 7353831
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id: 7353832
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id: 7353834
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id: 7353569
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id: 7353571
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id: 7353574
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id: 7353576
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id: 7353577
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id: 7353580
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id: 7353581
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id: 7353583
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id: 7353584
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id: 7353587
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id: 7353588
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id: 7353590
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id: 7353591
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id: 7353592
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id: 7353593
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id: 7353594
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id: 7353595
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id: 7353596
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id: 7353597
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id: 7353598
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id: 7353599
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id: 7353601
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id: 7353602
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id: 7353603
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id: 7353604
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id: 7353605
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id: 7353606
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id: 7353607
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id: 7353608
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id: 7353609
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id: 7353610
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id: 7353612
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id: 7353613
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id: 7353614
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id: 7353615
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id: 7353616
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id: 7353617
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id: 7353618
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id: 7353619
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id: 7353620
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id: 7353621
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id: 7353623
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id: 7353624
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id: 7353625
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id: 7353626
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id: 7353627
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id: 7353628
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id: 7353629
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id: 7353630
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id: 7353631
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id: 7353632
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id: 7353634
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id: 7353636
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id: 7353637
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id: 7353639
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id: 7353640
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id: 7353641
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id: 7353642
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id: 7353643
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id: 7353645
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id: 7353646
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id: 7353647
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id: 7353648
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id: 7353649
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id: 7353650
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id: 7353651
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id: 7353652
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id: 7353653
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id: 7353654
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id: 7353656
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id: 7353657
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id: 7353658
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id: 7353659
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id: 7353660
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id: 7353661
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id: 7353662
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id: 7353663
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id: 7353665
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id: 7353667
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id: 7353668
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id: 7353732
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id: 7353734
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id: 7353735
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id: 7353736
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id: 7353737
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id: 7353738
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id: 7353739
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id: 7353740
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id: 7353741
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id: 7353742
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id: 7353743
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id: 7353745
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id: 7353746
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id: 7353747
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id: 7353748
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id: 7353749
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id: 7353750
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id: 7353751
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id: 7353752
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id: 7353753
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id: 7353754
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id: 7353756
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id: 7353757
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id: 7353758
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id: 7353759
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id: 7353760
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id: 7353761
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id: 7353762
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id: 7353763
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id: 7353764
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id: 7353765
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id: 7353767
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id: 7353768
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id: 7353769
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id: 7353770
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id: 7353771
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id: 7353772
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id: 7353773
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id: 7353774
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id: 7353775
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id: 7353776
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id: 7353778
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id: 7353779
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id: 7353780
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id: 7353781
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id: 7353782
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id: 7353783
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id: 7353784
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id: 7353785
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id: 7353786
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id: 7353787
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id: 7353790
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id: 7353669
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id: 7353670
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id: 7353671
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id: 7353672
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id: 7353674
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id: 7353675
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id: 7353676
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id: 7353679
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id: 7353680
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id: 7353681
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id: 7353682
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id: 7353683
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id: 7353684
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id: 7353685
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id: 7353686
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id: 7353687
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id: 7353688
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id: 7353690
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id: 7353691
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id: 7353692
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id: 7353693
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id: 7353694
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id: 7353695
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id: 7353696
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id: 7353697
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id: 7353698
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id: 7353699
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id: 7353701
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id: 7353702
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id: 7353703
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id: 7353704
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id: 7353705
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id: 7353706
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id: 7353707
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id: 7353708
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id: 7353709
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id: 7353710
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id: 7353712
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id: 7353713
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id: 7353714
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id: 7353715
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id: 7353716
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id: 7353717
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id: 7353718
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id: 7353719
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id: 7353720
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id: 7353721
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id: 7353723
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id: 7353724
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id: 7353725
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id: 7353726
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id: 7353727
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id: 7353728
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id: 7353729
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id: 7353730
{'center': '2420.a1', 'center_index': 2420, 'center_order': 20, 'counter': 347, 'cyclotomic_n': 5, 'dim': 20, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '48400.j', 'group_counter': 10, 'group_order': 48400, 'image': None, 'image_isoclass': '24200.bb', 'image_order': 24200, 'indicator': 0, 'kernel': '24200.a1', 'kernel_order': 2, 'label': '48400.j.20z3', 'nt': [220, 0], 'q_character': None, 'values': [[[20, 0]], [[20, 0]], [[0, 0]], [[0, 0]], [[-20, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[20, -1]], [[20, 1]], [[20, -2]], [[20, 2]], [[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]], [[0, 0]], [[0, 0]], [[20, 1]], [[20, -1]], [[20, -2]], [[20, 2]], [[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]], [[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]], [[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]], [[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]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[9, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-20, -2]], [[-20, 2]], [[-20, -1]], [[-20, 1]], [[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]], [[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]], [[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]], [[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]], [[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]], [[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]], [[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]], [[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]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[9, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-9, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-9, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-2, -2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[9, -2]], [[-2, -2]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 2]], [[-2, 1]], [[9, 2]], [[-2, 2]], [[-2, -2]], [[9, 1]], [[-2, 1]], [[-2, 2]], [[-2, -2]], [[9, -1]], [[-2, -2]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, -2]], [[-2, 2]], [[-2, 1]], [[-2, 2]], [[-2, -1]], [[-2, -1]], [[-2, -2]], [[-2, 2]], [[9, -1]], [[-2, 2]], [[-2, -2]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[9, 1]], [[-2, -2]], [[-2, -2]], [[-2, 1]], [[9, -2]], [[-2, 2]], [[-2, -1]], [[-2, -1]], [[9, 2]], [[-2, 2]], [[-2, 1]], [[-2, 1]], [[-2, -2]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, -1]], [[-9, -2]], [[2, 1]], [[2, 2]], [[-9, 2]], [[2, 2]], [[2, -1]], [[2, 2]], [[2, -1]], [[-9, 2]], [[2, 1]], [[2, -1]], [[-9, -1]], [[-9, 1]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, -2]], [[-9, 1]], [[2, -2]], [[2, 1]], [[-9, -1]], [[2, 2]], [[2, 1]], [[2, -2]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, 1]], [[-9, -2]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, 2]], [[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]]]}
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id: 7353731
{'center': '2420.a1', 'center_index': 2420, 'center_order': 20, 'counter': 348, 'cyclotomic_n': 5, 'dim': 20, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '48400.j', 'group_counter': 10, 'group_order': 48400, 'image': None, 'image_isoclass': '24200.bb', 'image_order': 24200, 'indicator': 0, 'kernel': '24200.a1', 'kernel_order': 2, 'label': '48400.j.20z4', 'nt': [220, 4], 'q_character': None, 'values': [[[20, 0]], [[20, 0]], [[0, 0]], [[0, 0]], [[-20, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[20, 1]], [[20, -1]], [[20, 2]], [[20, -2]], [[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]], [[0, 0]], [[0, 0]], [[20, -1]], [[20, 1]], [[20, 2]], [[20, -2]], [[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]], [[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]], [[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]], [[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]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[9, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-20, 2]], [[-20, -2]], [[-20, 1]], [[-20, -1]], [[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]], [[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]], [[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]], [[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]], [[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]], [[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]], [[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]], [[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]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[9, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-9, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-9, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-2, -2]], [[-2, 1]], [[9, 2]], [[-2, 2]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, -2]], [[-2, -1]], [[9, -2]], [[-2, -2]], [[-2, 2]], [[9, -1]], [[-2, -1]], [[-2, -2]], [[-2, 2]], [[9, 1]], [[-2, 2]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[-2, -1]], [[-2, -2]], [[-2, 1]], [[-2, 1]], [[-2, 2]], [[-2, -2]], [[9, 1]], [[-2, -2]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[9, -1]], [[-2, 2]], [[-2, 2]], [[-2, -1]], [[9, 2]], [[-2, -2]], [[-2, 1]], [[-2, 1]], [[9, -2]], [[-2, -2]], [[-2, -1]], [[-2, -1]], [[-2, 2]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, 1]], [[-9, 2]], [[2, -1]], [[2, -2]], [[-9, -2]], [[2, -2]], [[2, 1]], [[2, -2]], [[2, 1]], [[-9, -2]], [[2, -1]], [[2, 1]], [[-9, 1]], [[-9, -1]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, 2]], [[-9, -1]], [[2, 2]], [[2, -1]], [[-9, 1]], [[2, -2]], [[2, -1]], [[2, 2]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, -1]], [[-9, 2]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, -2]], [[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]]]}
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gps_subgroup_search • Show schema
Hide schema
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id: 67105946
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 48400, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 110, 'label': '48400.j.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, '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', 'R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48400.j', 'subgroup_hash': 4834653770333006103, 'subgroup_order': 48400, 'subgroup_tex': 'C_{55}:(Q_8\\times F_{11})', 'supersolvable': True, 'sylow': 0}
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id: 67106038
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': True, 'core_order': 24200, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, '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': '24200.d', 'subgroup_hash': 1419911014711850917, 'subgroup_order': 24200, 'subgroup_tex': 'C_{220}:F_{11}', 'supersolvable': True, 'sylow': 0}
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id: 67106049
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 24200, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, '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': '24200.z', 'subgroup_hash': 5905548416466201611, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}:(C_{20}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
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id: 67106060
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 24200, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, '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': ['C1', 'C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24200.v', 'subgroup_hash': 1169149076345978435, 'subgroup_order': 24200, 'subgroup_tex': 'C_{220}.F_{11}', 'supersolvable': True, 'sylow': 0}
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id: 67106071
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 24200, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.2.d1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1', 'outer_equivalence': True, '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': '24200.k', 'subgroup_hash': 2991584039182823895, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}^2:(Q_8\\times C_5^2)', 'supersolvable': True, 'sylow': 0}
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id: 67106082
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': True, 'core_order': 12100, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, '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': '12100.b', 'subgroup_hash': 8989996920946585055, 'subgroup_order': 12100, 'subgroup_tex': 'C_{110}:F_{11}', 'supersolvable': True, 'sylow': 0}
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id: 67106093
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': True, 'core_order': 12100, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, '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': '12100.d', 'subgroup_hash': 7801599066318571395, 'subgroup_order': 12100, 'subgroup_tex': 'C_5\\times C_{11}^2:C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 67106104
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 12100, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, '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': '12100.y', 'subgroup_hash': 7926022769120718162, 'subgroup_order': 12100, 'subgroup_tex': 'C_{110}.F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106115
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': True, 'core_order': 12100, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, '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': '12100.c', 'subgroup_hash': 4426089968911410458, 'subgroup_order': 12100, 'subgroup_tex': 'C_{110}.F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67105947
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 9680, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.5.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9680.t', 'subgroup_hash': 8657313956729410829, 'subgroup_order': 9680, 'subgroup_tex': 'C_{220}.D_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 67105958
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': True, 'centralizer_order': 10, 'characteristic': False, 'core_order': 9680, 'counter': 11, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '48400.j.5.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9680.p', 'subgroup_hash': 832043041650605458, 'subgroup_order': 9680, 'subgroup_tex': 'C_{11}:(Q_8\\times F_{11})', 'supersolvable': True, 'sylow': 0}
-
id: 67105969
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': True, 'core_order': 6050, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6050.b', 'subgroup_hash': 3661129271387980846, 'subgroup_order': 6050, 'subgroup_tex': 'C_5\\times C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 67105980
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 6050, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '6050.a', 'subgroup_hash': 8547257569126712578, 'subgroup_order': 6050, 'subgroup_tex': 'C_{55}:F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67105991
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': True, 'core_order': 4840, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.10.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4840.g', 'subgroup_hash': 2895353960185797848, 'subgroup_order': 4840, 'subgroup_tex': 'C_{220}:D_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106002
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 4840, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.10.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4840.l', 'subgroup_hash': 7953500563289584397, 'subgroup_order': 4840, 'subgroup_tex': 'C_{44}:F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106013
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 4840, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.10.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4840.bl', 'subgroup_hash': 7062181575819922001, 'subgroup_order': 4840, 'subgroup_tex': 'C_{110}.D_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 67106024
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 4840, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.10.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4840.bb', 'subgroup_hash': 3459893620231323134, 'subgroup_order': 4840, 'subgroup_tex': 'C_{11}:(C_4\\times F_{11})', 'supersolvable': True, 'sylow': 0}
-
id: 67106035
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': False, 'core_order': 4840, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.10.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': ['C2', 'C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4840.s', 'subgroup_hash': 5382791842806585116, 'subgroup_order': 4840, 'subgroup_tex': 'C_{44}.C_{110}', 'supersolvable': True, 'sylow': 0}
-
id: 67106037
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 4840, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.10.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4840.bd', 'subgroup_hash': 5002246478290475993, 'subgroup_order': 4840, 'subgroup_tex': 'C_{44}.F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106039
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 4840, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.10.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4840.n', 'subgroup_hash': 4693282234791474830, 'subgroup_order': 4840, 'subgroup_tex': 'C_{110}.D_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 67106040
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 4840, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.10.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4840.bc', 'subgroup_hash': 1918944852362613583, 'subgroup_order': 4840, 'subgroup_tex': 'C_{11}^2:(C_5\\times Q_8)', 'supersolvable': True, 'sylow': 0}
-
id: 67106041
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 440, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.11.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4400.m', 'subgroup_hash': 7359625474499212845, 'subgroup_order': 4400, 'subgroup_tex': 'C_{44}.C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 67106042
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': True, 'core_order': 3025, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 55, 'label': '48400.j.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3025.d', 'subgroup_hash': 12, 'subgroup_order': 3025, 'subgroup_tex': 'C_{11}^2:C_5^2', 'supersolvable': True, 'sylow': 0}
-
id: 67106043
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': True, 'core_order': 2420, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.20.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2420.e', 'subgroup_hash': 6992973803636204876, 'subgroup_order': 2420, 'subgroup_tex': 'C_{110}:D_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106044
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2420, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.20.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2420.c', 'subgroup_hash': 6641519007809634494, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106045
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 2420, 'characteristic': True, 'core_order': 2420, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.20.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': ['F', 'C3', 'F', 'C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2420.f', 'subgroup_hash': 1994011955017827, 'subgroup_order': 2420, 'subgroup_tex': 'C_{11}\\times C_{220}', 'supersolvable': True, 'sylow': 0}
-
id: 67106046
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2420, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.20.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2420.h', 'subgroup_hash': 3966518846746054317, 'subgroup_order': 2420, 'subgroup_tex': 'C_{11}^2:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67106047
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': False, 'core_order': 2420, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.20.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2420.i', 'subgroup_hash': 4486430548389766475, 'subgroup_order': 2420, 'subgroup_tex': 'C_{11}:C_{220}', 'supersolvable': True, 'sylow': 0}
-
id: 67106048
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 2420, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.20.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2420.ba', 'subgroup_hash': 8862161259596205970, 'subgroup_order': 2420, 'subgroup_tex': 'C_{11}^2:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67106050
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': True, 'core_order': 2420, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.20.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2420.g', 'subgroup_hash': 2996951248302383670, 'subgroup_order': 2420, 'subgroup_tex': 'C_{11}^2:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67106051
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2420, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.20.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2420.a', 'subgroup_hash': 3652193982810710969, 'subgroup_order': 2420, 'subgroup_tex': 'C_{11}^2:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67106052
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 220, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.22.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2200.b', 'subgroup_hash': 8674610327534484139, 'subgroup_order': 2200, 'subgroup_tex': 'C_{20}\\times F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106053
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 20, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.22.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2200.b', 'subgroup_hash': 8674610327534484139, 'subgroup_order': 2200, 'subgroup_tex': 'C_{20}\\times F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106054
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 220, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.22.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2200.b', 'subgroup_hash': 8674610327534484139, 'subgroup_order': 2200, 'subgroup_tex': 'C_{20}\\times F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106055
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 220, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.22.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2200.s', 'subgroup_hash': 6521956962202503415, 'subgroup_order': 2200, 'subgroup_tex': 'C_{220}.C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 67106056
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 440, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.22.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2200.u', 'subgroup_hash': 3362623960606706472, 'subgroup_order': 2200, 'subgroup_tex': 'C_{220}.C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 67106057
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 220, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.22.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2200.u', 'subgroup_hash': 3362623960606706472, 'subgroup_order': 2200, 'subgroup_tex': 'C_{220}.C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 67106058
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': True, 'core_order': 1936, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 22, 'label': '48400.j.25.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '25.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '25.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 25, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1936.120', 'subgroup_hash': 120, 'subgroup_order': 1936, 'subgroup_tex': 'C_{44}.D_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 67106059
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 2420, 'characteristic': True, 'core_order': 1210, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.40.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': ['S', 'S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1210.27', 'subgroup_hash': 27, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}\\times C_{110}', 'supersolvable': True, 'sylow': 0}
-
id: 67106061
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 1210, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.40.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1210.19', 'subgroup_hash': 19, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 67106062
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 1210, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.40.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1210.23', 'subgroup_hash': 23, 'subgroup_order': 1210, 'subgroup_tex': 'C_{55}:D_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106063
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 1210, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.40.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1210.9', 'subgroup_hash': 9, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106064
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 110, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.44.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1100.29', 'subgroup_hash': 29, 'subgroup_order': 1100, 'subgroup_tex': 'C_{10}\\times F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106065
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 10, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.44.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1100.29', 'subgroup_hash': 29, 'subgroup_order': 1100, 'subgroup_tex': 'C_{10}\\times F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106066
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 220, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.44.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1100.19', 'subgroup_hash': 19, 'subgroup_order': 1100, 'subgroup_tex': 'C_{220}:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 67106067
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 20, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.44.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1100.19', 'subgroup_hash': 19, 'subgroup_order': 1100, 'subgroup_tex': 'C_{220}:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 67106068
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 110, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.44.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1100.19', 'subgroup_hash': 19, 'subgroup_order': 1100, 'subgroup_tex': 'C_{220}:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 67106069
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 220, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.44.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1100.16', 'subgroup_hash': 16, 'subgroup_order': 1100, 'subgroup_tex': 'C_{55}:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67106070
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 110, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.44.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1100.16', 'subgroup_hash': 16, 'subgroup_order': 1100, 'subgroup_tex': 'C_{55}:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67106072
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 10, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.44.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1100.16', 'subgroup_hash': 16, 'subgroup_order': 1100, 'subgroup_tex': 'C_{55}:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67106073
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': True, 'core_order': 968, 'counter': 51, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.50.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '968.28', 'subgroup_hash': 28, 'subgroup_order': 968, 'subgroup_tex': 'C_{44}:D_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106074
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 968, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.50.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '968.18', 'subgroup_hash': 18, 'subgroup_order': 968, 'subgroup_tex': 'C_{22}.D_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 67106075
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': False, 'core_order': 968, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.50.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '968.22', 'subgroup_hash': 22, 'subgroup_order': 968, 'subgroup_tex': 'C_{11}^2:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 67106076
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 968, 'counter': 54, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.50.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '968.21', 'subgroup_hash': 21, 'subgroup_order': 968, 'subgroup_tex': 'C_{11}^2:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 67106077
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 440, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.55.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '880.182', 'subgroup_hash': 182, 'subgroup_order': 880, 'subgroup_tex': 'C_{20}.D_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 67106078
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 88, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.55.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '880.120', 'subgroup_hash': 120, 'subgroup_order': 880, 'subgroup_tex': 'Q_8\\times F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106079
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 2420, 'characteristic': True, 'core_order': 605, 'counter': 57, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.80.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.47', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 47, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '605.7', 'subgroup_hash': 7, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}\\times C_{55}', 'supersolvable': True, 'sylow': 0}
-
id: 67106080
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 605, 'counter': 58, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.80.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '80.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.47', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 47, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '605.4', 'subgroup_hash': 4, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 67106081
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 110, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.88.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '550.10', 'subgroup_hash': 10, 'subgroup_order': 550, 'subgroup_tex': 'C_{110}:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 67106083
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 10, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.88.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '550.10', 'subgroup_hash': 10, 'subgroup_order': 550, 'subgroup_tex': 'C_{110}:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 67106084
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 55, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.88.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '550.7', 'subgroup_hash': 7, 'subgroup_order': 550, 'subgroup_tex': 'C_5\\times F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106085
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 5, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.88.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '550.7', 'subgroup_hash': 7, 'subgroup_order': 550, 'subgroup_tex': 'C_5\\times F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106086
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': True, 'core_order': 484, 'counter': 63, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.100.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '100.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '484.11', 'subgroup_hash': 11, 'subgroup_order': 484, 'subgroup_tex': 'C_{11}:D_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 67106087
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 2420, 'characteristic': True, 'core_order': 484, 'counter': 64, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.100.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '100.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '100.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '484.7', 'subgroup_hash': 7, 'subgroup_order': 484, 'subgroup_tex': 'C_{11}\\times C_{44}', 'supersolvable': True, 'sylow': 0}
-
id: 67106088
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': False, 'core_order': 484, 'counter': 65, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.100.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '100.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '484.5', 'subgroup_hash': 5, 'subgroup_order': 484, 'subgroup_tex': 'C_{11}:C_{44}', 'supersolvable': True, 'sylow': 0}
-
id: 67106089
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': True, 'core_order': 484, 'counter': 66, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.100.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '100.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '484.6', 'subgroup_hash': 6, 'subgroup_order': 484, 'subgroup_tex': 'C_{11}^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 67106090
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': False, 'core_order': 440, 'counter': 67, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.110.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '110.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '110.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 110, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '440.24', 'subgroup_hash': 24, 'subgroup_order': 440, 'subgroup_tex': 'C_{55}:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 67106091
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 220, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.110.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '440.25', 'subgroup_hash': 25, 'subgroup_order': 440, 'subgroup_tex': 'C_{20}\\times D_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106092
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 20, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.110.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '440.25', 'subgroup_hash': 25, 'subgroup_order': 440, 'subgroup_tex': 'C_{20}\\times D_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106094
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 44, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.110.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '440.8', 'subgroup_hash': 8, 'subgroup_order': 440, 'subgroup_tex': 'C_4\\times F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106095
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 4, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.110.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '440.8', 'subgroup_hash': 8, 'subgroup_order': 440, 'subgroup_tex': 'C_4\\times F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106096
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 220, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.110.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '440.25', 'subgroup_hash': 25, 'subgroup_order': 440, 'subgroup_tex': 'C_{20}\\times D_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106097
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 44, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.110.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '440.8', 'subgroup_hash': 8, 'subgroup_order': 440, 'subgroup_tex': 'C_4\\times F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106098
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': False, 'core_order': 220, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.110.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '110.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '440.41', 'subgroup_hash': 41, 'subgroup_order': 440, 'subgroup_tex': 'Q_8\\times C_{55}', 'supersolvable': True, 'sylow': 0}
-
id: 67106099
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 44, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.110.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '440.14', 'subgroup_hash': 14, 'subgroup_order': 440, 'subgroup_tex': 'C_{44}.C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 67106100
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 88, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.110.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '440.7', 'subgroup_hash': 7, 'subgroup_order': 440, 'subgroup_tex': 'C_{44}.C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 67106101
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 220, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.110.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '440.24', 'subgroup_hash': 24, 'subgroup_order': 440, 'subgroup_tex': 'C_{55}:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 67106102
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 44, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.110.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '440.7', 'subgroup_hash': 7, 'subgroup_order': 440, 'subgroup_tex': 'C_{44}.C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 67106103
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 20, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 10, 'label': '48400.j.121.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '121.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 121, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '400.203', 'subgroup_hash': 203, 'subgroup_order': 400, 'subgroup_tex': 'C_4.C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 67106105
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 55, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.176.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '176.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '275.3', 'subgroup_hash': 3, 'subgroup_order': 275, 'subgroup_tex': 'C_{55}:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 67106106
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 5, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.176.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '176.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '275.3', 'subgroup_hash': 3, 'subgroup_order': 275, 'subgroup_tex': 'C_{55}:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 67106107
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 2420, 'characteristic': True, 'core_order': 242, 'counter': 82, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.200.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '200.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '200.52', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 52, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '242.5', 'subgroup_hash': 5, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times C_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 67106108
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 242, 'counter': 83, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.200.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '200.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '200.39', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 39, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8\\times C_5^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '242.4', 'subgroup_hash': 4, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}:D_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106109
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 2420, 'characteristic': False, 'core_order': 220, 'counter': 84, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '48400.j.220.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '220.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '220.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 220, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': ['C4', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '220.6', 'subgroup_hash': 6, 'subgroup_order': 220, 'subgroup_tex': 'C_{220}', 'supersolvable': True, 'sylow': 0}
-
id: 67106110
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 220, 'characteristic': False, 'core_order': 220, 'counter': 85, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.220.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '220.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '220.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 220, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '220.4', 'subgroup_hash': 4, 'subgroup_order': 220, 'subgroup_tex': 'C_{11}:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67106111
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 110, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.220.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.12', 'subgroup_hash': 12, 'subgroup_order': 220, 'subgroup_tex': 'C_5\\times D_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 67106112
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 10, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.220.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.12', 'subgroup_hash': 12, 'subgroup_order': 220, 'subgroup_tex': 'C_5\\times D_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 67106113
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 22, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.220.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.7', 'subgroup_hash': 7, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106114
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.220.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.7', 'subgroup_hash': 7, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106116
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 2420, 'characteristic': False, 'core_order': 20, 'counter': 90, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '48400.j.220.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '220.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.6', 'subgroup_hash': 6, 'subgroup_order': 220, 'subgroup_tex': 'C_{220}', 'supersolvable': True, 'sylow': 0}
-
id: 67106117
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 44, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.220.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.2', 'subgroup_hash': 2, 'subgroup_order': 220, 'subgroup_tex': 'C_{11}:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67106118
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 4, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.220.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.2', 'subgroup_hash': 2, 'subgroup_order': 220, 'subgroup_tex': 'C_{11}:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67106119
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 220, 'characteristic': False, 'core_order': 110, 'counter': 93, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '48400.j.220.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '220.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.6', 'subgroup_hash': 6, 'subgroup_order': 220, 'subgroup_tex': 'C_{220}', 'supersolvable': True, 'sylow': 0}
-
id: 67106120
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 22, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.220.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.2', 'subgroup_hash': 2, 'subgroup_order': 220, 'subgroup_tex': 'C_{11}:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67106121
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 44, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.220.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.1', 'subgroup_hash': 1, 'subgroup_order': 220, 'subgroup_tex': 'C_{11}:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67106122
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 110, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.220.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.4', 'subgroup_hash': 4, 'subgroup_order': 220, 'subgroup_tex': 'C_{11}:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67106123
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 10, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.220.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.4', 'subgroup_hash': 4, 'subgroup_order': 220, 'subgroup_tex': 'C_{11}:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67106124
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 22, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.220.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.1', 'subgroup_hash': 1, 'subgroup_order': 220, 'subgroup_tex': 'C_{11}:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67106125
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.220.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.1', 'subgroup_hash': 1, 'subgroup_order': 220, 'subgroup_tex': 'C_{11}:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67105948
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 20, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.242.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '242.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.37', 'subgroup_hash': 37, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67105949
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 10, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.242.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '242.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.37', 'subgroup_hash': 37, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67105950
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 20, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.242.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '242.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.39', 'subgroup_hash': 39, 'subgroup_order': 200, 'subgroup_tex': 'Q_8\\times C_5^2', 'supersolvable': True, 'sylow': 0}
-
id: 67105951
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 10, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.242.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '242.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.39', 'subgroup_hash': 39, 'subgroup_order': 200, 'subgroup_tex': 'Q_8\\times C_5^2', 'supersolvable': True, 'sylow': 0}
-
id: 67105952
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 88, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.275.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '275.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 275, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '176.33', 'subgroup_hash': 33, 'subgroup_order': 176, 'subgroup_tex': 'Q_8\\times D_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67105953
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 2420, 'characteristic': True, 'core_order': 121, 'counter': 105, 'cyclic': False, 'direct': False, 'hall': 11, 'label': '48400.j.400.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '400.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '400.203', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 203, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'L2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 11}
-
id: 67105954
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 4840, 'characteristic': False, 'core_order': 110, 'counter': 106, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '48400.j.440.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '440.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '440.42', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 42, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 440, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': ['C5', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '110.6', 'subgroup_hash': 6, 'subgroup_order': 110, 'subgroup_tex': 'C_{110}', 'supersolvable': True, 'sylow': 0}
-
id: 67105955
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 2420, 'characteristic': False, 'core_order': 10, 'counter': 107, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '48400.j.440.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '440.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.6', 'subgroup_hash': 6, 'subgroup_order': 110, 'subgroup_tex': 'C_{110}', 'supersolvable': True, 'sylow': 0}
-
id: 67105956
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 22, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.440.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': 2, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 67105957
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.440.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': 2, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 67105959
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 55, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.440.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.4', 'subgroup_hash': 4, 'subgroup_order': 110, 'subgroup_tex': 'C_5\\times D_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67105960
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 5, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.440.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.4', 'subgroup_hash': 4, 'subgroup_order': 110, 'subgroup_tex': 'C_5\\times D_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67105961
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 11, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.440.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': 1, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67105962
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 1, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.440.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': 1, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67105963
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 10, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.484.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '484.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 484, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.16', 'subgroup_hash': 16, 'subgroup_order': 100, 'subgroup_tex': 'C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 67105964
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 20, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.484.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '484.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 484, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.8', 'subgroup_hash': 8, 'subgroup_order': 100, 'subgroup_tex': 'C_5\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67105965
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 10, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.484.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '484.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 484, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.8', 'subgroup_hash': 8, 'subgroup_order': 100, 'subgroup_tex': 'C_5\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67105966
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 10, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.484.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '484.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 484, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.8', 'subgroup_hash': 8, 'subgroup_order': 100, 'subgroup_tex': 'C_5\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67105967
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': False, 'core_order': 88, 'counter': 118, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.550.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '550.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '550.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 550, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '88.3', 'subgroup_hash': 3, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 67105968
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 44, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.550.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '550.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.4', 'subgroup_hash': 4, 'subgroup_order': 88, 'subgroup_tex': 'C_4\\times D_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67105970
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 4, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.550.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '550.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.4', 'subgroup_hash': 4, 'subgroup_order': 88, 'subgroup_tex': 'C_4\\times D_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67105971
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 44, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.550.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '550.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.4', 'subgroup_hash': 4, 'subgroup_order': 88, 'subgroup_tex': 'C_4\\times D_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67105972
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 110, 'characteristic': False, 'core_order': 44, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.550.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '550.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.10', 'subgroup_hash': 10, 'subgroup_order': 88, 'subgroup_tex': 'Q_8\\times C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67105973
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 10, 'characteristic': False, 'core_order': 44, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.550.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '550.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.3', 'subgroup_hash': 3, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 67105974
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 20, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.605.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '605.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.47', 'subgroup_hash': 47, 'subgroup_order': 80, 'subgroup_tex': 'Q_8\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 67105975
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 4, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.605.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '605.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.47', 'subgroup_hash': 47, 'subgroup_order': 80, 'subgroup_tex': 'Q_8\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 67105976
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 4840, 'characteristic': False, 'core_order': 55, 'counter': 126, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '48400.j.880.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '880.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '880.120', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 120, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 880, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': ['C6', 'C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '55.2', 'subgroup_hash': 2, 'subgroup_order': 55, 'subgroup_tex': 'C_{55}', 'supersolvable': True, 'sylow': 0}
-
id: 67105977
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 2420, 'characteristic': False, 'core_order': 5, 'counter': 127, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '48400.j.880.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '880.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.2', 'subgroup_hash': 2, 'subgroup_order': 55, 'subgroup_tex': 'C_{55}', 'supersolvable': True, 'sylow': 0}
-
id: 67105978
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 11, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.880.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '880.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': 1, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 67105979
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 1, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.880.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '880.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': 1, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
-
id: 67105981
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 10, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.968.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '968.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 968, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 67105982
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 5, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.968.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '968.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 968, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 67105983
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 2420, 'characteristic': False, 'core_order': 44, 'counter': 132, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '48400.j.1100.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1100.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1100.29', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 29, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '44.2', 'subgroup_hash': 2, 'subgroup_order': 44, 'subgroup_tex': 'C_{44}', 'supersolvable': True, 'sylow': 0}
-
id: 67105984
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 220, 'characteristic': False, 'core_order': 44, 'counter': 133, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '48400.j.1100.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1100.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1100.29', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 29, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 67105985
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 22, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.1100.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1100.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 67105986
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.1100.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1100.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 67105987
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 2420, 'characteristic': False, 'core_order': 4, 'counter': 136, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '48400.j.1100.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1100.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.2', 'subgroup_hash': 2, 'subgroup_order': 44, 'subgroup_tex': 'C_{44}', 'supersolvable': True, 'sylow': 0}
-
id: 67105988
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 220, 'characteristic': False, 'core_order': 22, 'counter': 137, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '48400.j.1100.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1100.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.2', 'subgroup_hash': 2, 'subgroup_order': 44, 'subgroup_tex': 'C_{44}', 'supersolvable': True, 'sylow': 0}
-
id: 67105989
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 22, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.1100.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1100.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 67105990
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.1100.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1100.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 67105992
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 20, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.1210.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67105993
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 4, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.1210.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67105994
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 10, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.1210.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67105995
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 2, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.1210.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67105996
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 1100, 'characteristic': False, 'core_order': 20, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.1210.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.11', 'subgroup_hash': 11, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 67105997
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 4, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.1210.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.11', 'subgroup_hash': 11, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 67105998
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 10, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.1210.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.11', 'subgroup_hash': 11, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 67105999
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 2, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.1210.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.11', 'subgroup_hash': 11, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 67106000
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 5, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 5, 'label': '48400.j.1936.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1936.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1936, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 5}
-
id: 67106001
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 4840, 'characteristic': False, 'core_order': 22, 'counter': 149, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '48400.j.2200.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2200.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2200.a', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8517226613379590578, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 2200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{22}:C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 67106003
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 2420, 'characteristic': False, 'core_order': 2, 'counter': 150, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '48400.j.2200.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2200.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
-
id: 67106004
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 11, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.2200.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2200.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106005
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 1, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.2200.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2200.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106006
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 24200, 'characteristic': True, 'core_order': 20, 'counter': 153, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '48400.j.2420.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2420.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2420.x', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3244222575460283753, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 2420, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{11}:F_{11}', 'simple': False, 'solvable': True, 'special_labels': ['U0', 'U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67106007
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 10, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.2420.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2420.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 67106008
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 2, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.2420.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2420.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 67106009
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 4, 'counter': 156, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '48400.j.2420.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2420.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67106010
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 2200, 'characteristic': False, 'core_order': 10, 'counter': 157, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '48400.j.2420.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2420.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67106011
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 2, 'counter': 158, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '48400.j.2420.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2420.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67106012
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 10, 'counter': 159, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '48400.j.2420.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2420.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67106014
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 2, 'counter': 160, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '48400.j.2420.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2420.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 67106015
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 4, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '48400.j.3025.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3025.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3025, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 2}
-
id: 67106016
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 4840, 'characteristic': False, 'core_order': 11, 'counter': 162, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '48400.j.4400.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '4400.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4400.m', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7359625474499212845, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 4400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{44}.C_{10}^2', 'simple': True, 'solvable': True, 'special_labels': ['C7', 'C7'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106017
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 2420, 'characteristic': False, 'core_order': 1, 'counter': 163, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '48400.j.4400.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4400.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4400, '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': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
-
id: 67106018
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': True, 'central_factor': False, 'centralizer_order': 48400, 'characteristic': True, 'core_order': 10, 'counter': 164, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '48400.j.4840.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4840.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4840.y', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4409101876861599779, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 4840, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{22}:F_{11}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1', 'Z', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 67106019
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 2, 'counter': 165, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '48400.j.4840.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4840.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 67106020
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 5, 'counter': 166, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '48400.j.4840.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4840.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 67106021
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 1, 'counter': 167, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '48400.j.4840.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4840.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 67106022
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 4, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.6050.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6050.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6050, 'quotient_simple': 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: 67106023
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 2, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.6050.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6050.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6050, 'quotient_simple': 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: 67106025
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 1100, 'characteristic': False, 'core_order': 4, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.6050.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6050.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6050, 'quotient_simple': 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: 67106026
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 100, 'characteristic': False, 'core_order': 2, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.6050.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6050.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6050, 'quotient_simple': 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: 67106027
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': True, 'central_factor': False, 'centralizer_order': 48400, 'characteristic': True, 'core_order': 5, 'counter': 172, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '48400.j.9680.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '9680.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '9680.p', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 832043041650605458, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 9680, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:(Q_8\\times F_{11})', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
-
id: 67106028
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 1, 'counter': 173, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '48400.j.9680.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9680.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9680, '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': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
-
id: 67106029
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 24200, 'characteristic': True, 'core_order': 4, 'counter': 174, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '48400.j.12100.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12100.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12100.t', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3125171721966470183, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}^2:C_{10}^2', '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: 67106030
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 2, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '48400.j.12100.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12100.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12100, 'quotient_simple': 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: 67106031
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 2200, 'characteristic': False, 'core_order': 2, 'counter': 176, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '48400.j.12100.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12100.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12100, 'quotient_simple': 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: 67106032
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 200, 'characteristic': False, 'core_order': 2, 'counter': 177, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '48400.j.12100.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12100.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12100, 'quotient_simple': 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: 67106033
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': True, 'central_factor': False, 'centralizer_order': 48400, 'characteristic': True, 'core_order': 2, 'counter': 178, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '48400.j.24200.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '24200.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24200.bb', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5881470963521458568, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_{22}:F_{11}', 'simple': True, 'solvable': True, 'special_labels': ['Phi', 'Phi'], '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: 67106034
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': 400, 'characteristic': False, 'core_order': 1, 'counter': 179, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '48400.j.24200.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24200.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24200, '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: 67106036
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '48400.j', 'ambient_counter': 10, 'ambient_order': 48400, 'ambient_tex': 'C_{55}:(Q_8\\times F_{11})', 'central': True, 'central_factor': False, 'centralizer_order': 48400, 'characteristic': True, 'core_order': 1, 'counter': 180, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '48400.j.48400.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48400.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '48400.j', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4834653770333006103, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{55}:(Q_8\\times F_{11})', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'D2', 'C8', '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: 67105946
{'ambient': '48400.j', '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': '4840.a1', 'complements': ['48400.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '2.d1', '5.a1', '5.b1', '11.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2318, 5120, 6993, 3865], 'generators': [5, 9680, 43580, 12100, 24200, 4400, 9790, 2], 'label': '48400.j.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '2.d1', '5.a1', '5.b1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
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id: 67105947
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': ['9680.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['10.a1', '10.c1', '10.e1', '10.g1', '25.a1', '55.a1'], 'core': '5.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3254, 2051, 8624, 7326], 'generators': [5, 43580, 12100, 9680, 9790, 4400, 24200], 'label': '48400.j.5.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '5.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['10.a1', '10.c1', '10.e1', '10.g1', '25.a1'], 'normalizer': '1.a1', 'old_label': '5.a1', 'projective_image': '4840.y', 'quotient_action_image': '5.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '5.a1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
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id: 67105948
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '242.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['22.a1', '22.b1', '121.a1'], 'contains': ['484.a1', '484.b1', '484.d1', '1210.a1', '1210.b1'], 'core': '2420.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [5324, -1, 2454, -1], 'generators': [5, 2, 9680, 12100, 24200], 'label': '48400.j.242.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '242.a1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 67105949
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '242.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['22.c1', '121.a1'], 'contains': ['484.a1', '484.c1', '1210.c1', '1210.d1'], 'core': '4840.a1', 'coset_action_label': None, 'count': 242, 'diagramx': [2818, -1, 5812, -1], 'generators': [5, 2, 9680, 36190, 24200], 'label': '48400.j.242.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '242.b1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 67105950
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '242.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '484.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['22.d1', '22.e1', '121.a1'], 'contains': ['484.b1', '484.c1', '1210.e1', '1210.f1'], 'core': '2420.a1', 'coset_action_label': None, 'count': 242, 'diagramx': [2393, -1, 6193, -1], 'generators': [11995, 2, 9680, 12100, 24200], 'label': '48400.j.242.c1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '242.c1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 67105951
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '242.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '484.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['22.f1', '121.a1'], 'contains': ['484.c1', '484.d1', '1210.g1', '1210.h1'], 'core': '4840.a1', 'coset_action_label': None, 'count': 242, 'diagramx': [1990, -1, 6012, -1], 'generators': [36305, 2, 9680, 36190, 24200], 'label': '48400.j.242.d1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '242.d1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 67105952
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '275.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['25.a1', '55.a1', '55.b1'], 'contains': ['550.a1', '550.b1', '550.d1', '550.e1', '550.f1', '3025.a1'], 'core': '550.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [1181, -1, 9241, -1], 'generators': [5, 12100, 24200, 9790, 4400], 'label': '48400.j.275.a1', 'mobius_quo': None, 'mobius_sub': -5, 'normal_closure': '25.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '275.a1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '275.a1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
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id: 67105953
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '400.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.c1', 'complements': ['121.a1'], 'conjugacy_class_count': 1, 'contained_in': ['80.a1', '80.b1', '200.a1', '200.b1'], 'contains': ['4400.a1', '4400.b1'], 'core': '400.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9107, 8653, 1753, 5180], 'generators': [43580, 4400], 'label': '48400.j.400.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '400.a1', 'normal_contained_in': ['80.a1', '80.b1', '200.a1', '200.b1'], 'normal_contains': ['4400.a1'], 'normalizer': '1.a1', 'old_label': '400.a1', 'projective_image': '48400.j', 'quotient_action_image': '20.5', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '400.a1', 'subgroup_fusion': None, 'weyl_group': '20.5'}
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id: 67105994
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '1210.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['110.f1', '242.b1', '605.a1'], 'contains': ['2420.b1', '2420.e1', '6050.b1'], 'core': '4840.a1', 'coset_action_label': None, 'count': 242, 'diagramx': [3319, -1, 6810, -1], 'generators': [35205, 9680, 24200, 10890], 'label': '48400.j.1210.c1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '1210.c1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 67105954
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '440.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.e1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['40.a1', '88.a1', '220.a1', '220.b1', '220.c1', '220.j1', '220.m1'], 'contains': ['880.a1', '2200.a1', '4840.a1'], 'core': '440.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6161, 3956, 4675, 7995], 'generators': [24200, 43580, 9680], 'label': '48400.j.440.a1', 'mobius_quo': -1, 'mobius_sub': -88, 'normal_closure': '440.a1', 'normal_contained_in': ['40.a1', '220.a1', '220.b1'], 'normal_contains': ['880.a1', '2200.a1', '4840.a1'], 'normalizer': '1.a1', 'old_label': '440.a1', 'projective_image': '4840.y', 'quotient_action_image': '10.2', 'quotient_action_kernel': '44.3', 'quotient_action_kernel_order': 44, 'quotient_fusion': None, 'short_label': '440.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
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id: 67105955
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '440.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.c1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['40.a1', '88.b1', '220.d1', '220.g1', '220.n1'], 'contains': ['880.b1', '2200.b1', '4840.a1'], 'core': '4840.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [7565, -1, 2343, -1], 'generators': [24200, 12780, 9680], 'label': '48400.j.440.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '440.b1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.b1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
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id: 67105956
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '440.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1210.e1', 'complements': None, 'conjugacy_class_count': 10, 'contained_in': ['40.b1', '88.a1', '220.e1', '220.h1', '220.k1', '220.l1', '220.o1'], 'contains': ['880.c1', '2200.a1', '4840.b1'], 'core': '2200.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [4758, -1, 4193, -1], 'generators': [24200, 4400, 3522], 'label': '48400.j.440.c1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '440.c1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.c1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
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id: 67105957
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '440.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 25, 'contained_in': ['40.b1', '88.b1', '220.f1', '220.i1', '220.p1'], 'contains': ['880.d1', '2200.b1', '4840.b1'], 'core': '24200.a1', 'coset_action_label': None, 'count': 550, 'diagramx': [7837, -1, 2176, -1], 'generators': [24200, 17180, 3522], 'label': '48400.j.440.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '440.d1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.d1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
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id: 67105958
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '5.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': ['9680.a1', '9680.b1'], 'conjugacy_class_count': 5, 'contained_in': ['1.a1'], 'contains': ['10.b1', '10.d1', '10.f1', '10.h1', '25.a1', '55.b1'], 'core': '5.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [1092, 4816, 7657, 3442], 'generators': [5, 43580, 12100, 2, 9790, 4400, 24200], 'label': '48400.j.5.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '5.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['10.b1', '10.d1', '10.f1', '10.h1', '25.a1'], 'normalizer': '1.a1', 'old_label': '5.b1', 'projective_image': '24200.bb', 'quotient_action_image': '1.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '5.b1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
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id: 67105959
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '440.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1210.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.c1', '88.c1', '220.c1'], 'contains': ['880.a1', '2200.c1', '4840.c1'], 'core': '880.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [8680, -1, 1971, -1], 'generators': [24205, 4400, 9680], 'label': '48400.j.440.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '440.e1', 'projective_image': '9680.p', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.e1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
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id: 67105960
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '440.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 10, 'contained_in': ['40.c1', '88.d1', '220.d1'], 'contains': ['880.b1', '2200.d1', '4840.c1'], 'core': '9680.a1', 'coset_action_label': None, 'count': 220, 'diagramx': [9482, -1, 1397, -1], 'generators': [24205, 17180, 9680], 'label': '48400.j.440.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '440.f1', 'projective_image': '9680.p', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.f1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
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id: 67105961
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '440.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1210.e1', 'complements': None, 'conjugacy_class_count': 20, 'contained_in': ['40.d1', '88.c1', '220.e1'], 'contains': ['880.c1', '2200.c1', '4840.d1'], 'core': '4400.a1', 'coset_action_label': None, 'count': 220, 'diagramx': [8181, -1, 1252, -1], 'generators': [24205, 43580, 2], 'label': '48400.j.440.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '5.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '440.g1', 'projective_image': '48400.j', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.g1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 67105962
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '440.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 50, 'contained_in': ['40.d1', '88.d1', '220.f1'], 'contains': ['880.d1', '2200.d1', '4840.d1'], 'core': '48400.a1', 'coset_action_label': None, 'count': 1100, 'diagramx': [9669, -1, 581, -1], 'generators': [46205, 3980, 882], 'label': '48400.j.440.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '440.h1', 'projective_image': '48400.j', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.h1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 67105963
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '484.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['44.a1', '44.b1', '242.a1', '242.b1'], 'contains': ['968.a1', '968.b1', '2420.b1', '2420.c1'], 'core': '4840.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [7056, -1, 1778, -1], 'generators': [5, 2, 9680, 24200], 'label': '48400.j.484.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '484.a1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '484.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 67105964
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '484.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['44.c1', '44.d1', '242.a1', '242.c1'], 'contains': ['968.a1', '2420.a1', '2420.d1'], 'core': '2420.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [4668, -1, 3035, -1], 'generators': [12100, 9680, 24200, 2], 'label': '48400.j.484.b1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '484.b1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '484.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67105965
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '484.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['44.e1', '44.f1', '242.b1', '242.c1', '242.d1'], 'contains': ['968.a1', '2420.e1', '2420.f1'], 'core': '4840.a1', 'coset_action_label': None, 'count': 484, 'diagramx': [2305, -1, 6278, -1], 'generators': [24090, 9680, 24200, 2], 'label': '48400.j.484.c1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '484.c1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '484.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67105966
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '484.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['44.g1', '44.h1', '242.a1', '242.d1'], 'contains': ['968.a1', '2420.g1', '2420.h1'], 'core': '4840.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [5923, -1, 2848, -1], 'generators': [36305, 9680, 24200, 2], 'label': '48400.j.484.d1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '484.d1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '484.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67105967
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '550.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '440.a1', 'complements': ['88.d1', '88.c1'], 'conjugacy_class_count': 2, 'contained_in': ['50.c1', '110.a1', '110.j1', '275.a1'], 'contains': ['1100.a1', '1100.b1', '6050.c1'], 'core': '550.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1421, 2799, 8840, 8476], 'generators': [9790, 24200, 4400, 12100], 'label': '48400.j.550.a1', 'mobius_quo': 0, 'mobius_sub': 55, 'normal_closure': '550.a1', 'normal_contained_in': ['50.c1', '110.a1'], 'normal_contains': ['1100.a1', '1100.b1'], 'normalizer': '1.a1', 'old_label': '550.a1', 'projective_image': '24200.bb', 'quotient_action_image': '110.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '550.a1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
-
id: 67105968
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '550.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['50.a1', '110.b1', '110.d1', '275.a1'], 'contains': ['1100.a1', '1100.c1', '1100.g1', '6050.a1'], 'core': '1100.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [3920, -1, 6090, -1], 'generators': [5, 24200, 4400, 12100], 'label': '48400.j.550.b1', 'mobius_quo': None, 'mobius_sub': 5, 'normal_closure': '50.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '550.b1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '550.b1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
-
id: 67105969
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '8.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.b1', '4.c1', '4.d1'], 'contains': ['16.a1', '40.a1', '40.b1', '88.a1', '88.b1'], 'core': '8.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7058, 7945, 2702, 2706], 'generators': [24200, 9680, 43580, 2, 4400], 'label': '48400.j.8.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1', '4.d1'], 'normal_contains': ['16.a1', '40.a1', '40.b1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
-
id: 67105970
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '550.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['50.a1', '110.c1', '110.e1'], 'contains': ['1100.d1', '1100.e1', '1100.h1', '6050.a1'], 'core': '12100.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [5455, -1, 2659, -1], 'generators': [5, 24200, 3980, 12100], 'label': '48400.j.550.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '50.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '550.c1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '550.c1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 67105971
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '550.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['50.b1', '110.f1', '110.g1', '275.a1'], 'contains': ['1100.b1', '1100.c1', '1100.f1', '6050.b1'], 'core': '1100.b1', 'coset_action_label': None, 'count': 44, 'diagramx': [1856, -1, 8351, -1], 'generators': [5, 24200, 4400, 10890], 'label': '48400.j.550.d1', 'mobius_quo': None, 'mobius_sub': 5, 'normal_closure': '50.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '550.d1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '550.d1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
-
id: 67105972
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '550.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '440.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['50.c1', '110.h1', '110.i1', '275.a1'], 'contains': ['1100.a1', '1100.f1', '6050.c1'], 'core': '1100.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [978, -1, 8677, -1], 'generators': [36095, 4400, 24200, 12100], 'label': '48400.j.550.e1', 'mobius_quo': None, 'mobius_sub': 5, 'normal_closure': '25.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '550.e1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '550.e1', 'subgroup_fusion': None, 'weyl_group': '40.14'}
-
id: 67105973
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '550.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['50.d1', '110.k1', '110.l1', '275.a1'], 'contains': ['1100.b1', '1100.f1', '1100.g1', '6050.d1'], 'core': '1100.b1', 'coset_action_label': None, 'count': 44, 'diagramx': [1244, -1, 8514, -1], 'generators': [1105, 24200, 4400, 10890], 'label': '48400.j.550.f1', 'mobius_quo': None, 'mobius_sub': 5, 'normal_closure': '25.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '550.f1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '550.f1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
-
id: 67105974
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '605.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '484.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['55.a1', '121.a1'], 'contains': ['1210.a1', '1210.c1', '1210.e1', '1210.g1', '3025.a1'], 'core': '2420.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [2781, -1, 6566, -1], 'generators': [22005, 12100, 9680, 9790, 24200], 'label': '48400.j.605.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '605.a1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 67105975
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '605.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '484.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['55.b1', '121.a1'], 'contains': ['1210.b1', '1210.d1', '1210.f1', '1210.h1', '3025.a1'], 'core': '12100.a1', 'coset_action_label': None, 'count': 605, 'diagramx': [753, -1, 6378, -1], 'generators': [5, 12100, 2, 36190, 24200], 'label': '48400.j.605.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '5.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '605.b1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 67105976
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '880.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.e1', 'complements': ['55.b1'], 'conjugacy_class_count': 2, 'contained_in': ['80.a1', '176.a1', '440.a1', '440.e1'], 'contains': ['4400.a1', '9680.a1'], 'core': '880.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8592, 5043, 1866, 7473], 'generators': [9680, 43580], 'label': '48400.j.880.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '880.a1', 'normal_contained_in': ['80.a1', '440.a1'], 'normal_contains': ['4400.a1', '9680.a1'], 'normalizer': '1.a1', 'old_label': '880.a1', 'projective_image': '9680.p', 'quotient_action_image': '10.2', 'quotient_action_kernel': '88.10', 'quotient_action_kernel_order': 88, 'quotient_fusion': None, 'short_label': '880.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
-
id: 67105977
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '880.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.c1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['80.a1', '176.b1', '440.b1', '440.f1'], 'contains': ['4400.b1', '9680.a1'], 'core': '9680.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [9831, -1, 1435, -1], 'generators': [9680, 12780], 'label': '48400.j.880.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '80.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '880.b1', 'projective_image': '9680.p', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '880.b1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
-
id: 67105978
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '880.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1210.e1', 'complements': None, 'conjugacy_class_count': 10, 'contained_in': ['80.b1', '176.a1', '440.c1', '440.g1'], 'contains': ['4400.a1', '9680.b1'], 'core': '4400.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [8254, -1, 1314, -1], 'generators': [2, 43580], 'label': '48400.j.880.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '880.c1', 'projective_image': '48400.j', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '880.c1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 67105979
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '880.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 25, 'contained_in': ['80.b1', '176.b1', '440.d1', '440.h1'], 'contains': ['4400.b1', '9680.b1'], 'core': '48400.a1', 'coset_action_label': None, 'count': 550, 'diagramx': [9677, -1, 934, -1], 'generators': [1762, 12780], 'label': '48400.j.880.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '880.d1', 'projective_image': '48400.j', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '880.d1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 67105980
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': ['6050.c1', '6050.d1'], 'conjugacy_class_count': 2, 'contained_in': ['4.a1'], 'contains': ['16.a1', '40.c1', '40.d1', '88.c1', '88.d1'], 'core': '8.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [9470, 9290, 614, 710], 'generators': [5, 9680, 43580, 2, 4400], 'label': '48400.j.8.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1'], 'normal_contains': ['16.a1', '40.c1', '40.d1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '9680.p', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
-
id: 67105981
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '968.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['88.a1', '88.b1', '484.a1', '484.b1', '484.c1', '484.d1'], 'contains': ['1936.a1', '4840.a1', '4840.b1'], 'core': '4840.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [6896, -1, 2594, -1], 'generators': [24200, 9680, 2], 'label': '48400.j.968.a1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '968.a1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '968.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 67105982
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '968.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['88.c1', '88.d1', '484.a1'], 'contains': ['1936.a1', '4840.c1', '4840.d1'], 'core': '9680.a1', 'coset_action_label': None, 'count': 242, 'diagramx': [8849, -1, 724, -1], 'generators': [24205, 9680, 2], 'label': '48400.j.968.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '968.b1', 'projective_image': '9680.p', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '968.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 67105983
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '1100.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['100.b1', '220.a1', '220.h1', '550.a1', '550.b1', '550.e1'], 'contains': ['2200.a1', '12100.a1'], 'core': '1100.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2446, 3077, 5857, 8280], 'generators': [12100, 24200, 43580], 'label': '48400.j.1100.a1', 'mobius_quo': 0, 'mobius_sub': -110, 'normal_closure': '1100.a1', 'normal_contained_in': ['100.b1', '220.a1', '550.a1'], 'normal_contains': ['2200.a1', '12100.a1'], 'normalizer': '1.a1', 'old_label': '1100.a1', 'projective_image': '24200.bb', 'quotient_action_image': '20.5', 'quotient_action_kernel': '55.2', 'quotient_action_kernel_order': 55, 'quotient_fusion': None, 'short_label': '1100.a1', 'subgroup_fusion': None, 'weyl_group': '20.5'}
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id: 67105984
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '1100.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '220.b1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['100.c1', '220.b1', '220.l1', '550.a1', '550.d1', '550.f1'], 'contains': ['2200.a1', '12100.c1'], 'core': '1100.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [1734, 4370, 8248, 7664], 'generators': [10890, 4400, 24200], 'label': '48400.j.1100.b1', 'mobius_quo': 0, 'mobius_sub': -110, 'normal_closure': '1100.b1', 'normal_contained_in': ['100.c1', '220.b1', '550.a1'], 'normal_contains': ['2200.a1'], 'normalizer': '1.a1', 'old_label': '1100.b1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1100.b1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
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id: 67105985
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '1100.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1210.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['100.a1', '220.c1', '220.e1', '550.b1', '550.d1'], 'contains': ['2200.a1', '2200.c1', '12100.b1'], 'core': '2200.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [6602, -1, 4782, -1], 'generators': [5, 4400, 24200], 'label': '48400.j.1100.c1', 'mobius_quo': None, 'mobius_sub': -10, 'normal_closure': '100.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '1100.c1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1100.c1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
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id: 67105986
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '1100.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['100.a1', '220.d1', '220.f1', '550.c1'], 'contains': ['2200.b1', '2200.d1', '12100.b1'], 'core': '24200.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [8119, -1, 2449, -1], 'generators': [5, 17180, 24200], 'label': '48400.j.1100.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '100.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '1100.d1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1100.d1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
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id: 67105987
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '1100.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.c1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['100.b1', '220.g1', '220.i1', '550.c1'], 'contains': ['2200.b1', '12100.a1'], 'core': '12100.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [5146, -1, 3249, -1], 'generators': [12100, 24200, 12780], 'label': '48400.j.1100.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '100.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '1100.e1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1100.e1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
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id: 67105988
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '1100.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '220.j1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['100.c1', '220.j1', '220.k1', '550.d1', '550.e1', '550.f1'], 'contains': ['2200.a1', '12100.c1'], 'core': '2200.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [1269, -1, 8054, -1], 'generators': [36095, 24200, 4400], 'label': '48400.j.1100.f1', 'mobius_quo': None, 'mobius_sub': -10, 'normal_closure': '25.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '1100.f1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1100.f1', 'subgroup_fusion': None, 'weyl_group': '20.5'}
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id: 67105989
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '1100.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['100.d1', '220.m1', '220.o1', '550.b1', '550.f1'], 'contains': ['2200.a1', '12100.d1'], 'core': '2200.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [3912, -1, 5362, -1], 'generators': [1105, 43580, 24200], 'label': '48400.j.1100.g1', 'mobius_quo': None, 'mobius_sub': -10, 'normal_closure': '100.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '1100.g1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1100.g1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
-
id: 67105990
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '1100.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['100.d1', '220.n1', '220.p1', '550.c1'], 'contains': ['2200.b1', '12100.d1'], 'core': '24200.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [6340, -1, 3130, -1], 'generators': [1105, 12780, 24200], 'label': '48400.j.1100.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '100.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '1100.h1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1100.h1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
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id: 67105991
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '10.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '5.a1'], 'contains': ['20.a1', '20.c1', '20.g1', '50.a1', '110.b1', '110.c1'], 'core': '10.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5525, 3421, 4946, 6532], 'generators': [5, 4400, 9680, 24200, 12100, 43580], 'label': '48400.j.10.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.a1', 'normal_contained_in': ['2.a1', '5.a1'], 'normal_contains': ['20.a1', '20.c1', '20.g1', '50.a1'], 'normalizer': '1.a1', 'old_label': '10.a1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.a1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
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id: 67105992
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '1210.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['110.b1', '110.c1', '242.a1', '605.a1'], 'contains': ['2420.a1', '2420.b1', '2420.g1', '6050.a1'], 'core': '2420.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [5657, -1, 3409, -1], 'generators': [5, 9680, 24200, 12100], 'label': '48400.j.1210.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '10.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '1210.a1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67105993
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '1210.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['110.d1', '110.e1', '242.a1', '605.b1'], 'contains': ['2420.c1', '2420.d1', '2420.h1', '6050.a1'], 'core': '12100.a1', 'coset_action_label': None, 'count': 605, 'diagramx': [4481, -1, 3222, -1], 'generators': [39605, 3522, 24200, 12100], 'label': '48400.j.1210.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '1210.b1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 67105995
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '1210.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.b1', 'complements': None, 'conjugacy_class_count': 10, 'contained_in': ['110.g1', '242.b1', '605.b1'], 'contains': ['2420.c1', '2420.f1', '6050.b1'], 'core': '24200.a1', 'coset_action_label': None, 'count': 1210, 'diagramx': [1770, -1, 6465, -1], 'generators': [44005, 1762, 24200, 19690], 'label': '48400.j.1210.d1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '1210.d1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 67105996
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '1210.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '44.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['110.a1', '110.h1', '242.c1', '605.a1'], 'contains': ['2420.a1', '2420.e1', '6050.c1'], 'core': '2420.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [3039, -1, 7296, -1], 'generators': [36095, 9680, 24200, 12100], 'label': '48400.j.1210.e1', 'mobius_quo': None, 'mobius_sub': 11, 'normal_closure': '110.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '1210.e1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.e1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 67105997
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '1210.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '484.a1', 'complements': None, 'conjugacy_class_count': 10, 'contained_in': ['110.i1', '110.j1', '242.c1', '605.b1'], 'contains': ['2420.d1', '2420.f1', '6050.c1'], 'core': '12100.a1', 'coset_action_label': None, 'count': 1210, 'diagramx': [884, -1, 6982, -1], 'generators': [11995, 3522, 24200, 12100], 'label': '48400.j.1210.f1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '10.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '1210.f1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.f1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 67105998
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '1210.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '484.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['110.k1', '242.d1', '605.a1'], 'contains': ['2420.e1', '2420.g1', '6050.d1'], 'core': '4840.a1', 'coset_action_label': None, 'count': 242, 'diagramx': [2723, -1, 7139, -1], 'generators': [23105, 9680, 24200, 10890], 'label': '48400.j.1210.g1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '10.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '1210.g1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.g1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 67105999
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '1210.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '484.a1', 'complements': None, 'conjugacy_class_count': 10, 'contained_in': ['110.l1', '242.d1', '605.b1'], 'contains': ['2420.f1', '2420.h1', '6050.d1'], 'core': '24200.a1', 'coset_action_label': None, 'count': 1210, 'diagramx': [568, -1, 6637, -1], 'generators': [27505, 3522, 24200, 15290], 'label': '48400.j.1210.h1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '1210.h1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.h1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 67106000
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '1936.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['176.a1', '176.b1', '968.a1', '968.b1'], 'contains': ['9680.a1', '9680.b1'], 'core': '9680.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [9043, -1, 1093, -1], 'generators': [2, 9680], 'label': '48400.j.1936.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '1936.a1', 'projective_image': '9680.p', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1936.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 67106001
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '2200.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.e1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['200.a1', '440.a1', '440.c1', '1100.a1', '1100.b1', '1100.c1', '1100.f1', '1100.g1'], 'contains': ['4400.a1', '24200.a1'], 'core': '2200.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4630, 4317, 4728, 7743], 'generators': [24200, 43580], 'label': '48400.j.2200.a1', 'mobius_quo': 1, 'mobius_sub': 440, 'normal_closure': '2200.a1', 'normal_contained_in': ['200.a1', '440.a1', '1100.a1', '1100.b1'], 'normal_contains': ['4400.a1', '24200.a1'], 'normalizer': '1.a1', 'old_label': '2200.a1', 'projective_image': '24200.bb', 'quotient_action_image': '10.2', 'quotient_action_kernel': '220.12', 'quotient_action_kernel_order': 220, 'quotient_fusion': None, 'short_label': '2200.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
-
id: 67106002
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '10.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': [], 'conjugacy_class_count': 5, 'contained_in': ['2.a1', '5.b1'], 'contains': ['20.b1', '20.d1', '20.h1', '50.a1', '110.d1', '110.e1'], 'core': '10.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [4845, 6158, 4345, 1942], 'generators': [5, 4400, 3522, 24200, 12100, 43580], 'label': '48400.j.10.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.b1', 'normal_contained_in': ['2.a1', '5.b1'], 'normal_contains': ['20.b1', '20.d1', '20.h1', '50.a1'], 'normalizer': '1.a1', 'old_label': '10.b1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.b1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
-
id: 67106003
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '2200.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.c1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['200.a1', '440.b1', '440.d1', '1100.d1', '1100.e1', '1100.h1'], 'contains': ['4400.b1', '24200.a1'], 'core': '24200.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [7686, -1, 2790, -1], 'generators': [24200, 12780], 'label': '48400.j.2200.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '200.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '2200.b1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2200.b1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
-
id: 67106004
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '2200.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1210.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['200.b1', '440.e1', '440.g1', '1100.c1'], 'contains': ['4400.a1', '24200.b1'], 'core': '4400.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [8324, -1, 1968, -1], 'generators': [5, 4400], 'label': '48400.j.2200.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '100.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '2200.c1', 'projective_image': '48400.j', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2200.c1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 67106005
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '2200.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 10, 'contained_in': ['200.b1', '440.f1', '440.h1', '1100.d1'], 'contains': ['4400.b1', '24200.b1'], 'core': '48400.a1', 'coset_action_label': None, 'count': 220, 'diagramx': [9503, -1, 1537, -1], 'generators': [5, 12780], 'label': '48400.j.2200.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '100.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '2200.d1', 'projective_image': '48400.j', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2200.d1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 67106006
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '2420.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['220.a1', '220.g1', '484.b1', '1210.a1', '1210.e1'], 'contains': ['4840.a1', '12100.a1'], 'core': '2420.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5060, 3124, 3653, 8550], 'generators': [12100, 24200, 9680], 'label': '48400.j.2420.a1', 'mobius_quo': 0, 'mobius_sub': -242, 'normal_closure': '2420.a1', 'normal_contained_in': ['220.a1'], 'normal_contains': ['4840.a1', '12100.a1'], 'normalizer': '1.a1', 'old_label': '2420.a1', 'projective_image': '4840.y', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1210.9', 'quotient_action_kernel_order': 1210, 'quotient_fusion': None, 'short_label': '2420.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67106007
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '2420.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['220.c1', '220.d1', '484.a1', '1210.a1', '1210.c1'], 'contains': ['4840.a1', '4840.c1', '12100.b1'], 'core': '4840.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [7181, -1, 2968, -1], 'generators': [5, 9680, 24200], 'label': '48400.j.2420.b1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '20.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '2420.b1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 67106008
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '2420.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['220.e1', '220.f1', '484.a1', '1210.b1', '1210.d1'], 'contains': ['4840.b1', '4840.d1', '12100.b1'], 'core': '24200.a1', 'coset_action_label': None, 'count': 605, 'diagramx': [6461, -1, 2781, -1], 'generators': [39605, 3522, 24200], 'label': '48400.j.2420.c1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '2420.c1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 67106009
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '2420.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['220.h1', '220.i1', '484.b1', '1210.b1', '1210.f1'], 'contains': ['4840.b1', '12100.a1'], 'core': '12100.a1', 'coset_action_label': None, 'count': 605, 'diagramx': [4108, -1, 3451, -1], 'generators': [12100, 24200, 3522], 'label': '48400.j.2420.d1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '2420.d1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 67106010
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '2420.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '22.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['220.b1', '220.j1', '484.c1', '1210.c1', '1210.e1', '1210.g1'], 'contains': ['4840.a1', '12100.c1'], 'core': '4840.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [3081, -1, 6928, -1], 'generators': [36095, 24200, 9680], 'label': '48400.j.2420.e1', 'mobius_quo': None, 'mobius_sub': -22, 'normal_closure': '220.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '2420.e1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67106011
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '2420.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.b1', 'complements': None, 'conjugacy_class_count': 20, 'contained_in': ['220.k1', '220.l1', '484.c1', '1210.d1', '1210.f1', '1210.h1'], 'contains': ['4840.b1', '12100.c1'], 'core': '24200.a1', 'coset_action_label': None, 'count': 2420, 'diagramx': [1011, -1, 6732, -1], 'generators': [27390, 24200, 3522], 'label': '48400.j.2420.f1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '10.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '2420.f1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67106012
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '2420.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['220.m1', '220.n1', '484.d1', '1210.a1', '1210.g1'], 'contains': ['4840.a1', '12100.d1'], 'core': '4840.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [5886, -1, 3552, -1], 'generators': [1105, 24200, 9680], 'label': '48400.j.2420.g1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '20.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '2420.g1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67106013
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '10.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '5.a1'], 'contains': ['20.a1', '20.e1', '50.b1', '110.f1'], 'core': '10.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [3755, 2452, 8624, 4950], 'generators': [5, 4400, 9680, 24200, 9790, 43580], 'label': '48400.j.10.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.c1', 'normal_contained_in': ['2.b1', '5.a1'], 'normal_contains': ['20.a1', '20.e1', '50.b1'], 'normalizer': '1.a1', 'old_label': '10.c1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.c1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
-
id: 67106014
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '2420.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['220.o1', '220.p1', '484.d1', '1210.b1', '1210.h1'], 'contains': ['4840.b1', '12100.d1'], 'core': '24200.a1', 'coset_action_label': None, 'count': 605, 'diagramx': [4874, -1, 3350, -1], 'generators': [27505, 24200, 3522], 'label': '48400.j.2420.h1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '2420.h1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420.h1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67106015
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '3025.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '484.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['275.a1', '605.a1', '605.b1'], 'contains': ['6050.a1', '6050.b1', '6050.c1', '6050.d1'], 'core': '12100.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [1381, -1, 7453, -1], 'generators': [22005, 9790, 12100], 'label': '48400.j.3025.a1', 'mobius_quo': None, 'mobius_sub': 5, 'normal_closure': '25.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '3025.a1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3025.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 67106016
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '4400.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10.e1', 'complements': ['11.a1'], 'conjugacy_class_count': 2, 'contained_in': ['400.a1', '880.a1', '880.c1', '2200.a1', '2200.c1'], 'contains': ['48400.a1'], 'core': '4400.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8418, 5131, 1838, 7510], 'generators': [43580], 'label': '48400.j.4400.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '4400.a1', 'normal_contained_in': ['400.a1', '880.a1', '2200.a1'], 'normal_contains': ['48400.a1'], 'normalizer': '1.a1', 'old_label': '4400.a1', 'projective_image': '48400.j', 'quotient_action_image': '10.2', 'quotient_action_kernel': '440.41', 'quotient_action_kernel_order': 440, 'quotient_fusion': None, 'short_label': '4400.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
-
id: 67106017
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '4400.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.c1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['400.a1', '880.b1', '880.d1', '2200.b1', '2200.d1'], 'contains': ['48400.a1'], 'core': '48400.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [9606, -1, 1539, -1], 'generators': [12780], 'label': '48400.j.4400.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '400.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '4400.b1', 'projective_image': '48400.j', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4400.b1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
-
id: 67106018
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '4840.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['440.a1', '440.b1', '968.a1', '2420.a1', '2420.b1', '2420.e1', '2420.g1'], 'contains': ['9680.a1', '24200.a1'], 'core': '4840.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6896, 3846, 3376, 8013], 'generators': [24200, 9680], 'label': '48400.j.4840.a1', 'mobius_quo': 1, 'mobius_sub': 968, 'normal_closure': '4840.a1', 'normal_contained_in': ['440.a1', '2420.a1'], 'normal_contains': ['9680.a1', '24200.a1'], 'normalizer': '1.a1', 'old_label': '4840.a1', 'projective_image': '4840.y', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4840.y', 'quotient_action_kernel_order': 4840, 'quotient_fusion': None, 'short_label': '4840.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 67106019
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '4840.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['440.c1', '440.d1', '968.a1', '2420.c1', '2420.d1', '2420.f1', '2420.h1'], 'contains': ['9680.b1', '24200.a1'], 'core': '24200.a1', 'coset_action_label': None, 'count': 605, 'diagramx': [6373, -1, 3275, -1], 'generators': [24200, 3522], 'label': '48400.j.4840.b1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '4840.b1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4840.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 67106020
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '4840.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['440.e1', '440.f1', '968.b1', '2420.b1'], 'contains': ['9680.a1', '24200.b1'], 'core': '9680.a1', 'coset_action_label': None, 'count': 242, 'diagramx': [8923, -1, 1639, -1], 'generators': [24205, 9680], 'label': '48400.j.4840.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '4840.c1', 'projective_image': '9680.p', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4840.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 67106021
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '4840.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1', 'complements': None, 'conjugacy_class_count': 10, 'contained_in': ['440.g1', '440.h1', '968.b1', '2420.c1'], 'contains': ['9680.b1', '24200.b1'], 'core': '48400.a1', 'coset_action_label': None, 'count': 1210, 'diagramx': [8706, -1, 1195, -1], 'generators': [15405, 3522], 'label': '48400.j.4840.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '4840.d1', 'projective_image': '48400.j', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4840.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 67106022
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '6050.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['550.b1', '550.c1', '1210.a1', '1210.b1', '3025.a1'], 'contains': ['12100.a1', '12100.b1', '12100.d1'], 'core': '12100.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [4843, -1, 3782, -1], 'generators': [5, 12100], 'label': '48400.j.6050.a1', 'mobius_quo': None, 'mobius_sub': -5, 'normal_closure': '50.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '6050.a1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6050.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67106023
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '6050.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['550.d1', '1210.c1', '1210.d1', '3025.a1'], 'contains': ['12100.b1', '12100.c1'], 'core': '24200.a1', 'coset_action_label': None, 'count': 242, 'diagramx': [2259, -1, 7056, -1], 'generators': [35205, 10890], 'label': '48400.j.6050.b1', 'mobius_quo': None, 'mobius_sub': -5, 'normal_closure': '50.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '6050.b1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6050.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67106024
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '10.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': [], 'conjugacy_class_count': 10, 'contained_in': ['2.b1', '5.b1'], 'contains': ['20.b1', '20.f1', '50.b1', '110.g1'], 'core': '10.d1', 'coset_action_label': None, 'count': 10, 'diagramx': [1307, 7301, 7513, 1185], 'generators': [5, 4400, 2642, 24200, 9790, 43580], 'label': '48400.j.10.d1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.d1', 'normal_contained_in': ['2.b1', '5.b1'], 'normal_contains': ['20.b1', '20.f1', '50.b1'], 'normalizer': '1.a1', 'old_label': '10.d1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.d1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
-
id: 67106025
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '6050.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '44.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['550.a1', '550.e1', '1210.e1', '1210.f1', '3025.a1'], 'contains': ['12100.a1', '12100.c1'], 'core': '12100.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [970, -1, 7296, -1], 'generators': [36095, 12100], 'label': '48400.j.6050.c1', 'mobius_quo': None, 'mobius_sub': -55, 'normal_closure': '110.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '6050.c1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6050.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 67106026
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '6050.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '484.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['550.f1', '1210.g1', '1210.h1', '3025.a1'], 'contains': ['12100.c1', '12100.d1'], 'core': '24200.a1', 'coset_action_label': None, 'count': 242, 'diagramx': [1309, -1, 7176, -1], 'generators': [9905, 9790], 'label': '48400.j.6050.d1', 'mobius_quo': None, 'mobius_sub': -5, 'normal_closure': '50.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '6050.d1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6050.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 67106027
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '9680.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['5.b1'], 'conjugacy_class_count': 1, 'contained_in': ['880.a1', '880.b1', '1936.a1', '4840.a1', '4840.c1'], 'contains': ['48400.a1'], 'core': '9680.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9048, 4738, 1636, 7774], 'generators': [9680], 'label': '48400.j.9680.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '9680.a1', 'normal_contained_in': ['880.a1', '4840.a1'], 'normal_contains': ['48400.a1'], 'normalizer': '1.a1', 'old_label': '9680.a1', 'projective_image': '9680.p', 'quotient_action_image': '1.1', 'quotient_action_kernel': '9680.p', 'quotient_action_kernel_order': 9680, 'quotient_fusion': None, 'short_label': '9680.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 67106028
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '9680.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['880.c1', '880.d1', '1936.a1', '4840.b1', '4840.d1'], 'contains': ['48400.a1'], 'core': '48400.a1', 'coset_action_label': None, 'count': 605, 'diagramx': [8785, -1, 1255, -1], 'generators': [882], 'label': '48400.j.9680.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '9680.b1', 'projective_image': '48400.j', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9680.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 67106029
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '12100.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1100.a1', '1100.e1', '2420.a1', '2420.d1', '6050.a1', '6050.c1'], 'contains': ['24200.a1'], 'core': '12100.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4546, 3393, 3653, 8280], 'generators': [12100], 'label': '48400.j.12100.a1', 'mobius_quo': 0, 'mobius_sub': 1210, 'normal_closure': '12100.a1', 'normal_contained_in': ['1100.a1', '2420.a1'], 'normal_contains': ['24200.a1'], 'normalizer': '1.a1', 'old_label': '12100.a1', 'projective_image': '24200.bb', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6050.a', 'quotient_action_kernel_order': 6050, 'quotient_fusion': None, 'short_label': '12100.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67106030
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '12100.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1100.c1', '1100.d1', '2420.b1', '2420.c1', '6050.a1', '6050.b1'], 'contains': ['24200.a1', '24200.b1'], 'core': '24200.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [6626, -1, 3473, -1], 'generators': [5, 24200], 'label': '48400.j.12100.b1', 'mobius_quo': None, 'mobius_sub': 10, 'normal_closure': '100.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '12100.b1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12100.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 67106031
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '12100.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '22.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['1100.b1', '1100.f1', '2420.e1', '2420.f1', '6050.b1', '6050.c1', '6050.d1'], 'contains': ['24200.a1'], 'core': '24200.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [1237, -1, 7116, -1], 'generators': [9790], 'label': '48400.j.12100.c1', 'mobius_quo': None, 'mobius_sub': 110, 'normal_closure': '550.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '12100.c1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12100.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67106032
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '12100.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1100.g1', '1100.h1', '2420.g1', '2420.h1', '6050.a1', '6050.d1'], 'contains': ['24200.a1'], 'core': '24200.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [4972, -1, 3561, -1], 'generators': [1105], 'label': '48400.j.12100.d1', 'mobius_quo': None, 'mobius_sub': 10, 'normal_closure': '100.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '12100.d1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12100.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 67106033
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '24200.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2200.a1', '2200.b1', '4840.a1', '4840.b1', '12100.a1', '12100.b1', '12100.c1', '12100.d1'], 'contains': ['48400.a1'], 'core': '24200.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6373, 4044, 3473, 8004], 'generators': [24200], 'label': '48400.j.24200.a1', 'mobius_quo': -1, 'mobius_sub': -4840, 'normal_closure': '24200.a1', 'normal_contained_in': ['2200.a1', '4840.a1', '12100.a1'], 'normal_contains': ['48400.a1'], 'normalizer': '1.a1', 'old_label': '24200.a1', 'projective_image': '24200.bb', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24200.bb', 'quotient_action_kernel_order': 24200, 'quotient_fusion': None, 'short_label': '24200.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 67106034
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '24200.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2200.c1', '2200.d1', '4840.c1', '4840.d1', '12100.b1'], 'contains': ['48400.a1'], 'core': '48400.a1', 'coset_action_label': None, 'count': 242, 'diagramx': [8668, -1, 1718, -1], 'generators': [5], 'label': '48400.j.24200.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '100.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '24200.b1', 'projective_image': '48400.j', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24200.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 67106035
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '10.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '440.a1', 'complements': ['4840.d1'], 'conjugacy_class_count': 2, 'contained_in': ['2.c1', '5.a1'], 'contains': ['20.c1', '20.e1', '50.c1', '110.a1', '110.h1'], 'core': '10.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [3313, 360, 9170, 9298], 'generators': [36095, 43580, 9680, 4400, 12100, 24200], 'label': '48400.j.10.e1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.e1', 'normal_contained_in': ['2.c1', '5.a1'], 'normal_contains': ['20.c1', '20.e1', '50.c1', '110.a1'], 'normalizer': '1.a1', 'old_label': '10.e1', 'projective_image': '4840.y', 'quotient_action_image': '10.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '10.e1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
-
id: 67106036
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '48400.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4400.a1', '4400.b1', '9680.a1', '9680.b1', '24200.a1', '24200.b1'], 'contains': [], 'core': '48400.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8708, 4738, 1677, 7774], 'generators': [], 'label': '48400.j.48400.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '48400.a1', 'normal_contained_in': ['4400.a1', '9680.a1', '24200.a1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '48400.a1', 'projective_image': '48400.j', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48400.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 67106037
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '10.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': ['4840.c1', '4840.d1'], 'conjugacy_class_count': 10, 'contained_in': ['2.c1', '5.b1'], 'contains': ['20.d1', '20.f1', '50.c1', '110.i1', '110.j1'], 'core': '10.f1', 'coset_action_label': None, 'count': 10, 'diagramx': [506, 4395, 8047, 7259], 'generators': [36095, 4400, 3522, 24200, 12100, 43580], 'label': '48400.j.10.f1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.f1', 'normal_contained_in': ['2.c1', '5.b1'], 'normal_contains': ['20.d1', '20.f1', '50.c1'], 'normalizer': '1.a1', 'old_label': '10.f1', 'projective_image': '24200.bb', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.f1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
-
id: 67106038
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.d1', '10.a1', '10.b1', '22.a1', '22.b1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5089, 6430, 4207, 2641], 'generators': [5, 43580, 2, 9680, 12100, 4400, 24200], 'label': '48400.j.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '4.d1', '10.a1', '10.b1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
-
id: 67106039
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '10.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': ['4840.d1'], 'conjugacy_class_count': 2, 'contained_in': ['2.d1', '5.a1'], 'contains': ['20.e1', '20.g1', '50.d1', '110.k1'], 'core': '10.g1', 'coset_action_label': None, 'count': 2, 'diagramx': [2933, 1403, 8920, 8629], 'generators': [1105, 4400, 9680, 24200, 10890, 43580], 'label': '48400.j.10.g1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.g1', 'normal_contained_in': ['2.d1', '5.a1'], 'normal_contains': ['20.e1', '20.g1', '50.d1'], 'normalizer': '1.a1', 'old_label': '10.g1', 'projective_image': '4840.y', 'quotient_action_image': '10.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '10.g1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
-
id: 67106040
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '10.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': ['4840.c1', '4840.d1'], 'conjugacy_class_count': 10, 'contained_in': ['2.d1', '5.b1'], 'contains': ['20.f1', '20.h1', '50.d1', '110.l1'], 'core': '10.h1', 'coset_action_label': None, 'count': 10, 'diagramx': [897, 5329, 7787, 3402], 'generators': [1105, 4400, 3522, 24200, 9790, 43580], 'label': '48400.j.10.h1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.h1', 'normal_contained_in': ['2.d1', '5.b1'], 'normal_contains': ['20.f1', '20.h1', '50.d1'], 'normalizer': '1.a1', 'old_label': '10.h1', 'projective_image': '24200.bb', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.h1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
-
id: 67106041
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '11.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['22.a1', '22.c1', '22.d1', '22.e1', '22.f1', '55.a1', '55.b1', '121.a1'], 'core': '110.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2181, -1, 6308, -1], 'generators': [5, 24200, 12100, 2, 36190, 43580, 9680], 'label': '48400.j.11.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '11.a1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11.a1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
-
id: 67106042
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': ['3025.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.b1'], 'contains': ['80.a1', '80.b1', '176.a1', '176.b1'], 'core': '16.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8846, 9524, 300, 2706], 'generators': [2, 43580, 4400, 9680], 'label': '48400.j.16.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1'], 'normal_contains': ['80.a1', '80.b1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '9680.p', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
-
id: 67106043
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '20.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '10.a1', '10.c1'], 'contains': ['40.a1', '40.c1', '100.a1', '220.c1', '220.d1'], 'core': '20.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7287, 7577, 3479, 3457], 'generators': [5, 9680, 43580, 24200, 4400], 'label': '48400.j.20.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.a1', 'normal_contained_in': ['4.a1', '10.a1', '10.c1'], 'normal_contains': ['40.a1', '40.c1', '100.a1'], 'normalizer': '1.a1', 'old_label': '20.a1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.a1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
-
id: 67106044
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '20.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': [], 'conjugacy_class_count': 5, 'contained_in': ['4.a1', '10.b1', '10.d1'], 'contains': ['40.b1', '40.d1', '100.a1', '220.e1', '220.f1'], 'core': '20.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [7706, 8579, 2980, 1452], 'generators': [5, 2642, 43580, 24200, 4400], 'label': '48400.j.20.b1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.b1', 'normal_contained_in': ['4.a1', '10.b1', '10.d1'], 'normal_contains': ['40.b1', '40.d1', '100.a1'], 'normalizer': '1.a1', 'old_label': '20.b1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.b1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
-
id: 67106045
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '20.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '10.a1', '10.e1'], 'contains': ['40.a1', '100.b1', '220.a1', '220.g1'], 'core': '20.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4058, 1421, 5116, 8452], 'generators': [12100, 43580, 4400, 9680, 24200], 'label': '48400.j.20.c1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.c1', 'normal_contained_in': ['4.b1', '10.a1', '10.e1'], 'normal_contains': ['40.a1', '100.b1', '220.a1'], 'normalizer': '1.a1', 'old_label': '20.c1', 'projective_image': '4840.y', 'quotient_action_image': '20.5', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '20.c1', 'subgroup_fusion': None, 'weyl_group': '20.5'}
-
id: 67106046
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '20.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': [], 'conjugacy_class_count': 5, 'contained_in': ['4.b1', '10.b1', '10.f1'], 'contains': ['40.b1', '100.b1', '220.h1', '220.i1'], 'core': '20.d1', 'coset_action_label': None, 'count': 5, 'diagramx': [4363, 4279, 4190, 5370], 'generators': [12100, 24200, 43580, 2642, 4400], 'label': '48400.j.20.d1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.d1', 'normal_contained_in': ['4.b1', '10.b1', '10.f1'], 'normal_contains': ['40.b1', '100.b1'], 'normalizer': '1.a1', 'old_label': '20.d1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.d1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
-
id: 67106047
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '20.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '440.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.c1', '10.c1', '10.e1', '10.g1'], 'contains': ['40.a1', '100.c1', '220.b1', '220.j1'], 'core': '20.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [3553, 2335, 9020, 7808], 'generators': [9790, 43580, 24200, 9680, 4400], 'label': '48400.j.20.e1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.e1', 'normal_contained_in': ['4.c1', '10.c1', '10.e1', '10.g1'], 'normal_contains': ['40.a1', '100.c1', '220.b1'], 'normalizer': '1.a1', 'old_label': '20.e1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.e1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
-
id: 67106048
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '20.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': [], 'conjugacy_class_count': 20, 'contained_in': ['4.c1', '10.d1', '10.f1', '10.h1'], 'contains': ['40.b1', '100.c1', '220.k1', '220.l1'], 'core': '20.f1', 'coset_action_label': None, 'count': 20, 'diagramx': [757, 5988, 7945, 4095], 'generators': [9790, 24200, 43580, 882, 4400], 'label': '48400.j.20.f1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.f1', 'normal_contained_in': ['4.c1', '10.d1', '10.f1', '10.h1'], 'normal_contains': ['40.b1', '100.c1'], 'normalizer': '1.a1', 'old_label': '20.f1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.f1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
-
id: 67106049
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '2.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.c1', '10.c1', '10.d1', '22.c1'], 'core': '2.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [2781, 7485, 6633, 1728], 'generators': [5, 43580, 2, 9680, 9790, 4400, 24200], 'label': '48400.j.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.c1', '10.c1', '10.d1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
-
id: 67106050
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '20.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '10.a1', '10.g1'], 'contains': ['40.a1', '100.d1', '220.m1', '220.n1'], 'core': '20.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [6012, 5311, 4878, 6707], 'generators': [1105, 24200, 43580, 9680, 4400], 'label': '48400.j.20.g1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.g1', 'normal_contained_in': ['4.d1', '10.a1', '10.g1'], 'normal_contains': ['40.a1', '100.d1'], 'normalizer': '1.a1', 'old_label': '20.g1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.g1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
-
id: 67106051
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '20.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': [], 'conjugacy_class_count': 5, 'contained_in': ['4.d1', '10.b1', '10.h1'], 'contains': ['40.b1', '100.d1', '220.o1', '220.p1'], 'core': '20.h1', 'coset_action_label': None, 'count': 5, 'diagramx': [6294, 6710, 3718, 2080], 'generators': [1105, 24200, 43580, 882, 4400], 'label': '48400.j.20.h1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.h1', 'normal_contained_in': ['4.d1', '10.b1', '10.h1'], 'normal_contains': ['40.b1', '100.d1'], 'normalizer': '1.a1', 'old_label': '20.h1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.h1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
-
id: 67106052
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '22.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '11.a1'], 'contains': ['44.a1', '44.c1', '44.g1', '110.b1', '110.d1', '242.a1'], 'core': '220.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [5060, -1, 4593, -1], 'generators': [5, 4400, 2, 9680, 12100, 24200], 'label': '48400.j.22.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '22.a1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.a1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
-
id: 67106053
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '22.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['2.a1'], 'contains': ['44.b1', '44.d1', '44.h1', '110.c1', '110.e1', '242.a1'], 'core': '2420.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [5398, -1, 2031, -1], 'generators': [5, 8380, 2, 9680, 12100, 24200], 'label': '48400.j.22.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '22.b1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 67106054
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '22.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.b1', '11.a1'], 'contains': ['44.a1', '44.e1', '44.f1', '110.f1', '110.g1', '242.b1'], 'core': '220.b1', 'coset_action_label': None, 'count': 44, 'diagramx': [2840, -1, 6042, -1], 'generators': [5, 43580, 2, 9680, 24090, 24200], 'label': '48400.j.22.c1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '22.c1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.c1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
-
id: 67106055
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '22.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.c1', '11.a1'], 'contains': ['44.c1', '44.e1', '110.h1', '110.i1', '242.c1'], 'core': '220.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2101, -1, 6526, -1], 'generators': [11995, 4400, 2, 9680, 12100, 24200], 'label': '48400.j.22.d1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '22.d1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.d1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
-
id: 67106056
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '22.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.c1', '11.a1'], 'contains': ['44.c1', '44.f1', '110.a1', '110.j1', '242.c1'], 'core': '110.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2557, -1, 6791, -1], 'generators': [9790, 4400, 2, 9680, 12100, 24200], 'label': '48400.j.22.e1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '22.e1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.e1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
-
id: 67106057
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '22.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.d1', '11.a1'], 'contains': ['44.e1', '44.f1', '44.g1', '110.k1', '110.l1', '242.d1'], 'core': '220.b1', 'coset_action_label': None, 'count': 44, 'diagramx': [1760, -1, 6261, -1], 'generators': [1105, 4400, 2, 9680, 10890, 24200], 'label': '48400.j.22.f1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '22.f1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.f1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
-
id: 67106058
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '25.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': ['1936.a1'], 'conjugacy_class_count': 1, 'contained_in': ['5.a1', '5.b1'], 'contains': ['50.a1', '50.b1', '50.c1', '50.d1', '275.a1'], 'core': '25.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1178, 3722, 9427, 7952], 'generators': [5, 4400, 12100, 24200, 9790, 43580], 'label': '48400.j.25.a1', 'mobius_quo': 0, 'mobius_sub': 5, 'normal_closure': '25.a1', 'normal_contained_in': ['5.a1', '5.b1'], 'normal_contains': ['50.a1', '50.b1', '50.c1', '50.d1'], 'normalizer': '1.a1', 'old_label': '25.a1', 'projective_image': '24200.bb', 'quotient_action_image': '5.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '25.a1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
-
id: 67106059
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '40.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '20.a1', '20.c1', '20.e1', '20.g1'], 'contains': ['80.a1', '200.a1', '440.a1', '440.b1'], 'core': '40.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6966, 6374, 4304, 6131], 'generators': [24200, 43580, 4400, 9680], 'label': '48400.j.40.a1', 'mobius_quo': 1, 'mobius_sub': 8, 'normal_closure': '40.a1', 'normal_contained_in': ['8.a1', '20.a1', '20.c1', '20.e1', '20.g1'], 'normal_contains': ['80.a1', '200.a1', '440.a1'], 'normalizer': '1.a1', 'old_label': '40.a1', 'projective_image': '4840.y', 'quotient_action_image': '20.5', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '40.a1', 'subgroup_fusion': None, 'weyl_group': '20.5'}
-
id: 67106060
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '2.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': ['24200.b1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.c1', '10.e1', '10.f1', '22.d1', '22.e1'], 'core': '2.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [2318, 4218, 7339, 5781], 'generators': [9790, 43580, 2, 9680, 12100, 4400, 24200], 'label': '48400.j.2.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.c1', '10.e1', '10.f1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': '4840.y', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
-
id: 67106061
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '40.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': [], 'conjugacy_class_count': 5, 'contained_in': ['8.a1', '20.b1', '20.d1', '20.f1', '20.h1'], 'contains': ['80.b1', '200.a1', '440.c1', '440.d1'], 'core': '40.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [7273, 7789, 3626, 4042], 'generators': [24200, 43580, 4400, 882], 'label': '48400.j.40.b1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '40.b1', 'normal_contained_in': ['8.a1', '20.b1', '20.d1', '20.f1', '20.h1'], 'normal_contains': ['80.b1', '200.a1'], 'normalizer': '1.a1', 'old_label': '40.b1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.b1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
-
id: 67106062
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '40.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': ['1210.f1', '1210.h1'], 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '20.a1'], 'contains': ['80.a1', '200.b1', '440.e1', '440.f1'], 'core': '40.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [9251, 8727, 929, 3374], 'generators': [5, 43580, 4400, 9680], 'label': '48400.j.40.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.c1', 'normal_contained_in': ['8.b1', '20.a1'], 'normal_contains': ['80.a1', '200.b1'], 'normalizer': '1.a1', 'old_label': '40.c1', 'projective_image': '9680.p', 'quotient_action_image': '10.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '40.c1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
-
id: 67106063
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '40.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': ['1210.e1', '1210.f1', '1210.g1', '1210.h1'], 'conjugacy_class_count': 10, 'contained_in': ['8.b1', '20.b1'], 'contains': ['80.b1', '200.b1', '440.g1', '440.h1'], 'core': '40.d1', 'coset_action_label': None, 'count': 10, 'diagramx': [8964, 9552, 519, 1786], 'generators': [24205, 43580, 4400, 882], 'label': '48400.j.40.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.d1', 'normal_contained_in': ['8.b1', '20.b1'], 'normal_contains': ['80.b1', '200.b1'], 'normalizer': '1.a1', 'old_label': '40.d1', 'projective_image': '48400.j', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.d1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
-
id: 67106064
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '44.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1210.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '22.a1', '22.c1'], 'contains': ['88.a1', '88.c1', '220.c1', '220.e1', '484.a1'], 'core': '440.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [6953, -1, 3228, -1], 'generators': [5, 2, 9680, 24200, 4400], 'label': '48400.j.44.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '44.a1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 67106065
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '44.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['4.a1', '22.b1'], 'contains': ['88.b1', '88.d1', '220.d1', '220.f1', '484.a1'], 'core': '4840.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [7997, -1, 1322, -1], 'generators': [5, 2, 9680, 24200, 3980], 'label': '48400.j.44.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '44.b1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 67106066
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '44.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '22.a1', '22.d1', '22.e1'], 'contains': ['88.a1', '220.a1', '220.h1', '484.b1'], 'core': '220.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [3882, -1, 4441, -1], 'generators': [12100, 9680, 24200, 2, 43580], 'label': '48400.j.44.c1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '44.c1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.c1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
-
id: 67106067
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '44.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['4.b1', '22.b1'], 'contains': ['88.b1', '220.g1', '220.i1', '484.b1'], 'core': '2420.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [4721, -1, 1811, -1], 'generators': [12100, 9680, 24200, 2, 8380], 'label': '48400.j.44.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '44.d1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.d1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 67106068
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '44.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.c1', '22.c1', '22.d1', '22.f1'], 'contains': ['88.a1', '220.j1', '220.k1', '484.c1'], 'core': '440.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [1829, -1, 6788, -1], 'generators': [48295, 9680, 24200, 2, 4400], 'label': '48400.j.44.e1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '44.e1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.e1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
-
id: 67106069
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '44.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.c1', '22.c1', '22.e1', '22.f1'], 'contains': ['88.a1', '220.b1', '220.l1', '484.c1'], 'core': '220.b1', 'coset_action_label': None, 'count': 44, 'diagramx': [2495, -1, 7041, -1], 'generators': [10890, 9680, 24200, 2, 4400], 'label': '48400.j.44.f1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '44.f1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.f1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
-
id: 67106070
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '44.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.d1', '22.a1', '22.f1'], 'contains': ['88.a1', '220.m1', '220.o1', '484.d1'], 'core': '440.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [5815, -1, 3940, -1], 'generators': [36305, 9680, 24200, 2, 43580], 'label': '48400.j.44.g1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '44.g1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.g1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
-
id: 67106071
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '2.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': ['24200.b1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.c1', '4.d1', '10.g1', '10.h1', '22.f1'], 'core': '2.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [1871, 5422, 6993, 4291], 'generators': [1105, 43580, 2, 9680, 9790, 4400, 24200], 'label': '48400.j.2.d1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.c1', '4.d1', '10.g1', '10.h1'], 'normalizer': '1.a1', 'old_label': '2.d1', 'projective_image': '4840.y', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.d1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
-
id: 67106072
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '44.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['4.d1', '22.b1'], 'contains': ['88.b1', '220.n1', '220.p1', '484.d1'], 'core': '4840.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [6649, -1, 1557, -1], 'generators': [36305, 9680, 24200, 2, 47980], 'label': '48400.j.44.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '44.h1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.h1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 67106073
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '50.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['10.a1', '10.b1', '25.a1'], 'contains': ['100.a1', '100.b1', '100.d1', '550.b1', '550.c1'], 'core': '50.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4915, 4423, 5356, 6039], 'generators': [5, 24200, 43580, 12100, 4400], 'label': '48400.j.50.a1', 'mobius_quo': 0, 'mobius_sub': -5, 'normal_closure': '50.a1', 'normal_contained_in': ['10.a1', '10.b1', '25.a1'], 'normal_contains': ['100.a1', '100.b1', '100.d1'], 'normalizer': '1.a1', 'old_label': '50.a1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.a1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
-
id: 67106074
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '50.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['10.c1', '10.d1', '25.a1'], 'contains': ['100.a1', '100.c1', '550.d1'], 'core': '50.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1489, 5350, 9465, 4696], 'generators': [5, 24200, 43580, 10890, 4400], 'label': '48400.j.50.b1', 'mobius_quo': 0, 'mobius_sub': -5, 'normal_closure': '50.b1', 'normal_contained_in': ['10.c1', '10.d1', '25.a1'], 'normal_contains': ['100.a1', '100.c1'], 'normalizer': '1.a1', 'old_label': '50.b1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.b1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
-
id: 67106075
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '50.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '440.a1', 'complements': ['968.b1'], 'conjugacy_class_count': 2, 'contained_in': ['10.e1', '10.f1', '25.a1'], 'contains': ['100.b1', '100.c1', '550.a1', '550.e1'], 'core': '50.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [894, 2794, 9883, 9095], 'generators': [9790, 43580, 24200, 12100, 4400], 'label': '48400.j.50.c1', 'mobius_quo': 0, 'mobius_sub': -5, 'normal_closure': '50.c1', 'normal_contained_in': ['10.e1', '10.f1', '25.a1'], 'normal_contains': ['100.b1', '100.c1', '550.a1'], 'normalizer': '1.a1', 'old_label': '50.c1', 'projective_image': '24200.bb', 'quotient_action_image': '10.2', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '50.c1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
-
id: 67106076
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '50.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': ['968.b1'], 'conjugacy_class_count': 2, 'contained_in': ['10.g1', '10.h1', '25.a1'], 'contains': ['100.c1', '100.d1', '550.f1'], 'core': '50.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [1218, 3782, 9675, 7253], 'generators': [1105, 24200, 43580, 9790, 4400], 'label': '48400.j.50.d1', 'mobius_quo': 0, 'mobius_sub': -5, 'normal_closure': '50.d1', 'normal_contained_in': ['10.g1', '10.h1', '25.a1'], 'normal_contains': ['100.c1', '100.d1'], 'normalizer': '1.a1', 'old_label': '50.d1', 'projective_image': '24200.bb', 'quotient_action_image': '10.2', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '50.d1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
-
id: 67106077
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '55.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['5.a1', '11.a1'], 'contains': ['110.a1', '110.b1', '110.f1', '110.h1', '110.k1', '275.a1', '605.a1'], 'core': '110.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2922, -1, 8314, -1], 'generators': [5, 4400, 12100, 9680, 9790, 24200], 'label': '48400.j.55.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '55.a1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55.a1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
-
id: 67106078
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '55.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': None, 'conjugacy_class_count': 10, 'contained_in': ['5.b1', '11.a1'], 'contains': ['110.d1', '110.g1', '110.i1', '110.j1', '110.l1', '275.a1', '605.b1'], 'core': '550.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [569, -1, 7274, -1], 'generators': [17605, 43580, 12100, 2642, 5390, 24200], 'label': '48400.j.55.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '55.b1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55.b1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
-
id: 67106079
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '80.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.c1', 'complements': ['605.b1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '40.a1', '40.c1'], 'contains': ['400.a1', '880.a1', '880.b1'], 'core': '80.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9349, 8653, 1600, 5180], 'generators': [9680, 4400, 43580], 'label': '48400.j.80.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '80.a1', 'normal_contained_in': ['16.a1', '40.a1', '40.c1'], 'normal_contains': ['400.a1', '880.a1'], 'normalizer': '1.a1', 'old_label': '80.a1', 'projective_image': '9680.p', 'quotient_action_image': '20.5', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '80.a1', 'subgroup_fusion': None, 'weyl_group': '20.5'}
-
id: 67106080
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '80.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': ['605.a1', '605.b1'], 'conjugacy_class_count': 5, 'contained_in': ['16.a1', '40.b1', '40.d1'], 'contains': ['400.a1', '880.c1', '880.d1'], 'core': '80.b1', 'coset_action_label': None, 'count': 5, 'diagramx': [8823, 9640, 899, 3374], 'generators': [3522, 4400, 43580], 'label': '48400.j.80.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '80.b1', 'normal_contained_in': ['16.a1', '40.b1', '40.d1'], 'normal_contains': ['400.a1'], 'normalizer': '1.a1', 'old_label': '80.b1', 'projective_image': '48400.j', 'quotient_action_image': '4.2', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '80.b1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
-
id: 67106081
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '88.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1210.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '44.a1', '44.c1', '44.e1', '44.f1', '44.g1'], 'contains': ['176.a1', '440.a1', '440.c1', '968.a1'], 'core': '440.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [6425, -1, 3876, -1], 'generators': [24200, 9680, 4400, 2], 'label': '48400.j.88.a1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '88.a1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 67106082
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.b1'], 'contains': ['8.a1', '8.b1', '20.a1', '20.b1', '44.a1', '44.b1'], 'core': '4.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7194, 8193, 3104, 385], 'generators': [5, 4400, 2, 9680, 24200, 43580], 'label': '48400.j.4.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['8.a1', '8.b1', '20.a1', '20.b1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
-
id: 67106083
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '88.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['8.a1', '44.b1', '44.d1', '44.h1'], 'contains': ['176.b1', '440.b1', '440.d1', '968.a1'], 'core': '4840.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [7877, -1, 1182, -1], 'generators': [24200, 9680, 12780, 2], 'label': '48400.j.88.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '88.b1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 67106084
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '88.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1210.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.b1', '44.a1'], 'contains': ['176.a1', '440.e1', '440.g1', '968.b1'], 'core': '880.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [8568, -1, 708, -1], 'generators': [5, 9680, 4400, 2], 'label': '48400.j.88.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '88.c1', 'projective_image': '9680.p', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.c1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 67106085
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '88.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 10, 'contained_in': ['8.b1', '44.b1'], 'contains': ['176.b1', '440.f1', '440.h1', '968.b1'], 'core': '9680.a1', 'coset_action_label': None, 'count': 220, 'diagramx': [9666, -1, 83, -1], 'generators': [24205, 9680, 17180, 2], 'label': '48400.j.88.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '88.d1', 'projective_image': '9680.p', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.d1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 67106086
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '100.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['20.a1', '20.b1', '50.a1', '50.b1'], 'contains': ['200.a1', '200.b1', '1100.c1', '1100.d1'], 'core': '100.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7709, 6858, 4545, 4711], 'generators': [5, 43580, 4400, 24200], 'label': '48400.j.100.a1', 'mobius_quo': 0, 'mobius_sub': 10, 'normal_closure': '100.a1', 'normal_contained_in': ['20.a1', '20.b1', '50.a1', '50.b1'], 'normal_contains': ['200.a1', '200.b1'], 'normalizer': '1.a1', 'old_label': '100.a1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.a1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
-
id: 67106087
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '100.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['20.c1', '20.d1', '50.a1', '50.c1'], 'contains': ['200.a1', '1100.a1', '1100.e1'], 'core': '100.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4256, 3333, 5774, 7406], 'generators': [12100, 4400, 24200, 43580], 'label': '48400.j.100.b1', 'mobius_quo': 0, 'mobius_sub': 10, 'normal_closure': '100.b1', 'normal_contained_in': ['20.c1', '20.d1', '50.a1', '50.c1'], 'normal_contains': ['200.a1', '1100.a1'], 'normalizer': '1.a1', 'old_label': '100.b1', 'projective_image': '24200.bb', 'quotient_action_image': '20.5', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '100.b1', 'subgroup_fusion': None, 'weyl_group': '20.5'}
-
id: 67106088
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '100.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '440.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['20.e1', '20.f1', '50.b1', '50.c1', '50.d1'], 'contains': ['200.a1', '1100.b1', '1100.f1'], 'core': '100.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [1305, 4505, 9035, 6775], 'generators': [23995, 24200, 43580, 4400], 'label': '48400.j.100.c1', 'mobius_quo': 0, 'mobius_sub': 10, 'normal_closure': '100.c1', 'normal_contained_in': ['20.e1', '20.f1', '50.b1', '50.c1', '50.d1'], 'normal_contains': ['200.a1', '1100.b1'], 'normalizer': '1.a1', 'old_label': '100.c1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.c1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
-
id: 67106089
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '100.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['20.g1', '20.h1', '50.a1', '50.d1'], 'contains': ['200.a1', '1100.g1', '1100.h1'], 'core': '100.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [6092, 5772, 5362, 5609], 'generators': [1105, 43580, 4400, 24200], 'label': '48400.j.100.d1', 'mobius_quo': 0, 'mobius_sub': 10, 'normal_closure': '100.d1', 'normal_contained_in': ['20.g1', '20.h1', '50.a1', '50.d1'], 'normal_contains': ['200.a1'], 'normalizer': '1.a1', 'old_label': '100.d1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.d1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
-
id: 67106090
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '110.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '440.a1', 'complements': ['440.g1', '440.h1'], 'conjugacy_class_count': 2, 'contained_in': ['10.e1', '22.e1', '55.a1'], 'contains': ['220.a1', '220.b1', '550.a1', '1210.e1'], 'core': '110.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3069, 2384, 8783, 9730], 'generators': [36095, 9680, 24200, 12100, 43580], 'label': '48400.j.110.a1', 'mobius_quo': 0, 'mobius_sub': -11, 'normal_closure': '110.a1', 'normal_contained_in': ['10.e1'], 'normal_contains': ['220.a1', '220.b1', '550.a1'], 'normalizer': '1.a1', 'old_label': '110.a1', 'projective_image': '4840.y', 'quotient_action_image': '110.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '110.a1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
-
id: 67106091
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '110.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['10.a1', '22.a1', '55.a1'], 'contains': ['220.a1', '220.c1', '220.m1', '550.b1', '1210.a1'], 'core': '220.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [5397, -1, 5593, -1], 'generators': [5, 9680, 24200, 12100, 43580], 'label': '48400.j.110.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '110.b1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110.b1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
-
id: 67106092
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '110.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['10.a1', '22.b1'], 'contains': ['220.d1', '220.g1', '220.n1', '550.c1', '1210.a1'], 'core': '2420.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [5737, -1, 2235, -1], 'generators': [5, 9680, 24200, 12100, 17180], 'label': '48400.j.110.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '110.c1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110.c1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 67106093
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.c1'], 'contains': ['8.a1', '20.c1', '20.d1', '44.c1', '44.d1'], 'core': '4.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4118, 4324, 4068, 5781], 'generators': [12100, 4400, 9680, 24200, 2, 43580], 'label': '48400.j.4.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1', '2.c1'], 'normal_contains': ['8.a1', '20.c1', '20.d1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
-
id: 67106094
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '110.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 10, 'contained_in': ['10.b1', '22.a1', '55.b1'], 'contains': ['220.e1', '220.h1', '220.o1', '550.b1', '1210.b1'], 'core': '1100.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [3954, -1, 4661, -1], 'generators': [39605, 3522, 24200, 12100, 43580], 'label': '48400.j.110.d1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '110.d1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110.d1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
-
id: 67106095
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '110.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 25, 'contained_in': ['10.b1', '22.b1'], 'contains': ['220.f1', '220.i1', '220.p1', '550.c1', '1210.b1'], 'core': '12100.a1', 'coset_action_label': None, 'count': 550, 'diagramx': [5078, -1, 2031, -1], 'generators': [44005, 1762, 24200, 12100, 8380], 'label': '48400.j.110.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '110.e1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110.e1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 67106096
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '110.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['10.c1', '22.c1', '55.a1'], 'contains': ['220.b1', '220.c1', '220.j1', '550.d1', '1210.c1'], 'core': '220.b1', 'coset_action_label': None, 'count': 44, 'diagramx': [3523, -1, 8150, -1], 'generators': [5, 9680, 24200, 10890, 4400], 'label': '48400.j.110.f1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '110.f1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110.f1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
-
id: 67106097
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '110.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.e1', 'complements': None, 'conjugacy_class_count': 20, 'contained_in': ['10.d1', '22.c1', '55.b1'], 'contains': ['220.e1', '220.k1', '220.l1', '550.d1', '1210.d1'], 'core': '1100.b1', 'coset_action_label': None, 'count': 220, 'diagramx': [1243, -1, 7262, -1], 'generators': [39605, 3522, 24200, 27390, 43580], 'label': '48400.j.110.g1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '110.g1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110.g1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
-
id: 67106098
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '110.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '440.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['10.e1', '22.d1', '55.a1'], 'contains': ['220.a1', '220.j1', '550.e1', '1210.e1'], 'core': '220.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2517, -1, 8577, -1], 'generators': [36095, 9680, 4400, 12100, 24200], 'label': '48400.j.110.h1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '110.h1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110.h1', 'subgroup_fusion': None, 'weyl_group': '40.14'}
-
id: 67106099
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '110.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': None, 'conjugacy_class_count': 10, 'contained_in': ['10.f1', '22.d1', '55.b1'], 'contains': ['220.h1', '220.k1', '550.e1', '1210.f1'], 'core': '1100.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [130, -1, 7602, -1], 'generators': [27390, 3522, 24200, 12100, 43580], 'label': '48400.j.110.i1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '110.i1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110.i1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
-
id: 67106100
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '110.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': None, 'conjugacy_class_count': 10, 'contained_in': ['10.f1', '22.e1', '55.b1'], 'contains': ['220.h1', '220.l1', '550.a1', '1210.f1'], 'core': '550.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [923, -1, 7781, -1], 'generators': [9790, 3522, 24200, 12100, 4400], 'label': '48400.j.110.j1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '110.j1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110.j1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
-
id: 67106101
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '110.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['10.g1', '22.f1', '55.a1'], 'contains': ['220.b1', '220.j1', '220.m1', '550.f1', '1210.g1'], 'core': '220.b1', 'coset_action_label': None, 'count': 44, 'diagramx': [2781, -1, 8372, -1], 'generators': [1105, 9680, 24200, 10890, 4400], 'label': '48400.j.110.k1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '110.k1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110.k1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
-
id: 67106102
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '110.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': None, 'conjugacy_class_count': 20, 'contained_in': ['10.h1', '22.f1', '55.b1'], 'contains': ['220.k1', '220.l1', '220.o1', '550.f1', '1210.h1'], 'core': '1100.b1', 'coset_action_label': None, 'count': 220, 'diagramx': [474, -1, 7422, -1], 'generators': [36305, 2, 24200, 36190, 43580], 'label': '48400.j.110.l1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '5.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '110.l1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110.l1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
-
id: 67106103
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '121.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '484.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['11.a1'], 'contains': ['242.a1', '242.b1', '242.c1', '242.d1', '605.a1', '605.b1'], 'core': '2420.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [2306, -1, 5796, -1], 'generators': [5, 24200, 12100, 2, 36190, 9680], 'label': '48400.j.121.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1', 'old_label': '121.a1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '121.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 67106104
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['2.b1', '2.c1', '2.d1'], 'contains': ['8.a1', '20.e1', '20.f1', '44.e1', '44.f1'], 'core': '4.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [2262, 5450, 7041, 4119], 'generators': [36095, 4400, 9680, 24200, 2, 43580], 'label': '48400.j.4.c1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1', 'normal_contained_in': ['2.b1', '2.c1', '2.d1'], 'normal_contains': ['8.a1', '20.e1', '20.f1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
-
id: 67106105
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '176.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1210.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.a1', '88.a1', '88.c1'], 'contains': ['880.a1', '880.c1', '1936.a1'], 'core': '880.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [8543, -1, 1090, -1], 'generators': [2, 4400, 9680], 'label': '48400.j.176.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '176.a1', 'projective_image': '9680.p', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
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id: 67106106
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '176.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['16.a1', '88.b1', '88.d1'], 'contains': ['880.b1', '880.d1', '1936.a1'], 'core': '9680.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [9870, -1, 419, -1], 'generators': [2, 3980, 9680], 'label': '48400.j.176.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '176.b1', 'projective_image': '9680.p', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
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id: 67106107
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '200.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['40.a1', '40.b1', '100.a1', '100.b1', '100.c1', '100.d1'], 'contains': ['400.a1', '2200.a1', '2200.b1'], 'core': '200.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7348, 6130, 4509, 5796], 'generators': [24200, 4400, 43580], 'label': '48400.j.200.a1', 'mobius_quo': -1, 'mobius_sub': -40, 'normal_closure': '200.a1', 'normal_contained_in': ['40.a1', '40.b1', '100.a1', '100.b1', '100.c1', '100.d1'], 'normal_contains': ['400.a1', '2200.a1'], 'normalizer': '1.a1', 'old_label': '200.a1', 'projective_image': '24200.bb', 'quotient_action_image': '20.5', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '200.a1', 'subgroup_fusion': None, 'weyl_group': '20.5'}
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id: 67106108
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '200.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': ['242.c1', '242.d1'], 'conjugacy_class_count': 2, 'contained_in': ['40.c1', '40.d1', '100.a1'], 'contains': ['400.a1', '2200.c1', '2200.d1'], 'core': '200.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [9132, 9018, 1793, 4597], 'generators': [24205, 4400, 43580], 'label': '48400.j.200.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '200.b1', 'normal_contained_in': ['40.c1', '40.d1', '100.a1'], 'normal_contains': ['400.a1'], 'normalizer': '1.a1', 'old_label': '200.b1', 'projective_image': '48400.j', 'quotient_action_image': '10.2', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '200.b1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
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id: 67106109
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '220.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['20.c1', '44.c1', '110.a1', '110.b1', '110.h1'], 'contains': ['440.a1', '1100.a1', '2420.a1'], 'core': '220.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4153, 2384, 5940, 8807], 'generators': [12100, 4400, 24200, 9680], 'label': '48400.j.220.a1', 'mobius_quo': 0, 'mobius_sub': 22, 'normal_closure': '220.a1', 'normal_contained_in': ['20.c1', '110.a1'], 'normal_contains': ['440.a1', '1100.a1', '2420.a1'], 'normalizer': '1.a1', 'old_label': '220.a1', 'projective_image': '4840.y', 'quotient_action_image': '20.5', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '220.a1', 'subgroup_fusion': None, 'weyl_group': '20.5'}
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id: 67106110
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '220.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '220.b1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['20.e1', '44.f1', '110.a1', '110.f1', '110.k1'], 'contains': ['440.a1', '1100.b1', '2420.e1'], 'core': '220.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [3266, 3652, 8146, 7995], 'generators': [36095, 24200, 43580, 9680], 'label': '48400.j.220.b1', 'mobius_quo': 0, 'mobius_sub': 22, 'normal_closure': '220.b1', 'normal_contained_in': ['20.e1', '110.a1'], 'normal_contains': ['440.a1', '1100.b1'], 'normalizer': '1.a1', 'old_label': '220.b1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.b1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
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id: 67106111
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '220.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1210.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['20.a1', '44.a1', '110.b1', '110.f1'], 'contains': ['440.a1', '440.e1', '1100.c1', '2420.b1'], 'core': '440.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [7121, -1, 4782, -1], 'generators': [5, 9680, 43580, 24200], 'label': '48400.j.220.c1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '20.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '220.c1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.c1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
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id: 67106112
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '220.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['20.a1', '44.b1', '110.c1'], 'contains': ['440.b1', '440.f1', '1100.d1', '2420.b1'], 'core': '4840.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [8024, -1, 1606, -1], 'generators': [5, 9680, 17180, 24200], 'label': '48400.j.220.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '220.d1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.d1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
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id: 67106113
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '220.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1210.e1', 'complements': None, 'conjugacy_class_count': 10, 'contained_in': ['20.b1', '44.a1', '110.d1', '110.g1'], 'contains': ['440.c1', '440.g1', '1100.c1', '2420.c1'], 'core': '2200.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [6188, -1, 4096, -1], 'generators': [5, 3522, 4400, 24200], 'label': '48400.j.220.e1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '220.e1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.e1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
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id: 67106114
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '220.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 25, 'contained_in': ['20.b1', '44.b1', '110.e1'], 'contains': ['440.d1', '440.h1', '1100.d1', '2420.c1'], 'core': '24200.a1', 'coset_action_label': None, 'count': 550, 'diagramx': [8342, -1, 1403, -1], 'generators': [17605, 2642, 3980, 24200], 'label': '48400.j.220.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '220.f1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.f1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
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id: 67106115
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.d1'], 'contains': ['8.a1', '20.g1', '20.h1', '44.g1', '44.h1'], 'core': '4.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [6012, 6936, 3790, 2684], 'generators': [1105, 4400, 9680, 24200, 2, 43580], 'label': '48400.j.4.d1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1', 'normal_contained_in': ['2.a1', '2.d1'], 'normal_contains': ['8.a1', '20.g1', '20.h1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
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id: 67106116
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '220.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.c1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['20.c1', '44.d1', '110.c1'], 'contains': ['440.b1', '1100.e1', '2420.a1'], 'core': '2420.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [5033, -1, 2509, -1], 'generators': [12100, 8380, 24200, 9680], 'label': '48400.j.220.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '220.g1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.g1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
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id: 67106117
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '220.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 10, 'contained_in': ['20.d1', '44.c1', '110.d1', '110.i1', '110.j1'], 'contains': ['440.c1', '1100.a1', '2420.d1'], 'core': '1100.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [3609, -1, 5171, -1], 'generators': [12100, 24200, 43580, 3522], 'label': '48400.j.220.h1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '220.h1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.h1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
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id: 67106118
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '220.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 25, 'contained_in': ['20.d1', '44.d1', '110.e1'], 'contains': ['440.d1', '1100.e1', '2420.d1'], 'core': '12100.a1', 'coset_action_label': None, 'count': 550, 'diagramx': [4819, -1, 2120, -1], 'generators': [12100, 24200, 17180, 3522], 'label': '48400.j.220.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '220.i1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.i1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
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id: 67106119
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '220.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '220.j1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['20.e1', '44.e1', '110.f1', '110.h1', '110.k1'], 'contains': ['440.a1', '1100.f1', '2420.e1'], 'core': '440.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [2933, -1, 7979, -1], 'generators': [10890, 43580, 24200, 9680], 'label': '48400.j.220.j1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '10.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '220.j1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.j1', 'subgroup_fusion': None, 'weyl_group': '20.5'}
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id: 67106120
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '220.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.e1', 'complements': None, 'conjugacy_class_count': 20, 'contained_in': ['20.f1', '44.e1', '110.g1', '110.i1', '110.l1'], 'contains': ['440.c1', '1100.f1', '2420.f1'], 'core': '2200.a1', 'coset_action_label': None, 'count': 220, 'diagramx': [355, -1, 7644, -1], 'generators': [11995, 24200, 4400, 2], 'label': '48400.j.220.k1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '5.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '220.k1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.k1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
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id: 67106121
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '220.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.e1', 'complements': None, 'conjugacy_class_count': 20, 'contained_in': ['20.f1', '44.f1', '110.g1', '110.j1', '110.l1'], 'contains': ['440.c1', '1100.b1', '2420.f1'], 'core': '1100.b1', 'coset_action_label': None, 'count': 220, 'diagramx': [1089, -1, 7839, -1], 'generators': [10890, 24200, 4400, 1762], 'label': '48400.j.220.l1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '220.l1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.l1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
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id: 67106122
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '220.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['20.g1', '44.g1', '110.b1', '110.k1'], 'contains': ['440.a1', '1100.g1', '2420.g1'], 'core': '440.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [5699, -1, 5554, -1], 'generators': [1105, 24200, 4400, 9680], 'label': '48400.j.220.m1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '20.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '220.m1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.m1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
-
id: 67106123
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '220.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 5, 'contained_in': ['20.g1', '44.h1', '110.c1'], 'contains': ['440.b1', '1100.h1', '2420.g1'], 'core': '4840.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [6508, -1, 2343, -1], 'generators': [1105, 24200, 17180, 9680], 'label': '48400.j.220.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '220.n1', 'projective_image': '4840.y', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.n1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
-
id: 67106124
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '220.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 10, 'contained_in': ['20.h1', '44.g1', '110.d1', '110.l1'], 'contains': ['440.c1', '1100.g1', '2420.h1'], 'core': '2200.a1', 'coset_action_label': None, 'count': 110, 'diagramx': [3973, -1, 4975, -1], 'generators': [1105, 24200, 4400, 3522], 'label': '48400.j.220.o1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1', 'old_label': '220.o1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.o1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
-
id: 67106125
{'ambient': '48400.j', 'aut_centralizer_order': None, 'aut_label': '220.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.a1', 'complements': None, 'conjugacy_class_count': 25, 'contained_in': ['20.h1', '44.h1', '110.e1'], 'contains': ['440.d1', '1100.h1', '2420.h1'], 'core': '24200.a1', 'coset_action_label': None, 'count': 550, 'diagramx': [6759, -1, 1925, -1], 'generators': [36305, 24200, 17180, 2], 'label': '48400.j.220.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '5.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1', 'old_label': '220.p1', 'projective_image': '24200.bb', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.p1', 'subgroup_fusion': None, 'weyl_group': '110.1'}