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gps_groups • Show schema
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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '48.44', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 20, 'aut_gen_orders': [2, 4, 4, 4, 4, 4, 10, 4], 'aut_gens': [[1, 2, 8, 48], [193, 2, 8, 432], [721, 2, 40, 364], [869, 746, 520, 820], [725, 722, 488, 168], [245, 726, 520, 844], [845, 506, 40, 936], [101, 510, 8, 72], [889, 246, 488, 432]], 'aut_group': None, 'aut_hash': 2768082913228380694, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 81920, 'aut_permdeg': 98, 'aut_perms': [9136309803503955752986605712863464851447095500747802751410701550327434827308054745217358333994887249608738702902763871284086616776740016157116274803042296, 2378308201872281743595619765809462058544984771701726978857164971844759889373903498631465169057850702932206816748862230062231528604673881338290770067274130, 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1, 1, 1], [2, 1, 1, 3], [2, 1, 2, 2], [2, 20, 4, 1], [3, 1, 2, 1], [4, 2, 4, 1], [4, 2, 8, 1], [4, 20, 4, 1], [5, 2, 2, 1], [6, 1, 2, 3], [6, 1, 4, 2], [6, 20, 8, 1], [10, 2, 2, 3], [10, 2, 4, 2], [12, 2, 8, 1], [12, 2, 16, 1], [12, 20, 8, 1], [15, 2, 4, 1], [20, 2, 16, 1], [20, 2, 32, 1], [30, 2, 4, 3], [30, 2, 8, 2], [60, 2, 32, 1], [60, 2, 64, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_5:(C_2^9.C_2^5)', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '1024.djt', 'autcent_hash': 1957374279625110839, 'autcent_nilpotent': True, 'autcent_order': 1024, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^{10}', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 20, 'autcentquo_group': '80.50', 'autcentquo_hash': 50, 'autcentquo_nilpotent': False, 'autcentquo_order': 80, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2^2\\times F_5', 'cc_stats': [[1, 1, 1], [2, 1, 7], [2, 20, 4], [3, 1, 2], [4, 2, 12], [4, 20, 4], [5, 2, 2], [6, 1, 14], [6, 20, 8], [10, 2, 14], [12, 2, 24], [12, 20, 8], [15, 2, 4], [20, 2, 48], [30, 2, 28], [60, 2, 96]], 'center_label': '24.15', 'center_order': 24, 'central_product': True, 'central_quotient': '40.13', 'commutator_count': 1, 'commutator_label': '20.5', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '5.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 4031, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['3.1', 1], ['320.566', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [2, 20, 1, 4], [3, 1, 2, 1], [4, 2, 1, 4], [4, 2, 2, 4], [4, 20, 2, 2], [5, 2, 2, 1], [6, 1, 2, 7], [6, 20, 2, 4], [10, 2, 2, 7], [12, 2, 2, 4], [12, 2, 4, 4], [12, 20, 4, 2], [15, 2, 4, 1], [20, 2, 4, 4], [20, 2, 8, 4], [30, 2, 4, 7], [60, 2, 8, 4], [60, 2, 16, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 3276, 'exponent': 60, 'exponents_of_order': [6, 1, 1], 'factors_of_aut_order': [2, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '8.5', 'frattini_quotient': '120.44', 'hash': 4031, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 10, 'inner_gen_orders': [2, 2, 1, 10], 'inner_gens': [[1, 26, 8, 912], [25, 2, 8, 48], [1, 2, 8, 48], [97, 2, 8, 48]], 'inner_hash': 13, 'inner_nilpotent': False, 'inner_order': 40, 'inner_split': False, 'inner_tex': 'C_2\\times D_{10}', 'inner_used': [1, 2, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 48], [2, 228]], 'label': '960.4031', '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': '(C2*C12):D20', '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 36, 'number_characteristic_subgroups': 46, 'number_conjugacy_classes': 276, 'number_divisions': 76, 'number_normal_subgroups': 174, 'number_subgroup_autclasses': 200, 'number_subgroup_classes': 516, 'number_subgroups': 2364, 'old_label': None, 'order': 960, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 87], [3, 2], [4, 104], [5, 4], [6, 174], [10, 28], [12, 208], [15, 8], [20, 96], [30, 56], [60, 192]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [2, 4, 4, 2, 4, 2, 2, 2], 'outer_gen_pows': [0, 0, 0, 747, 0, 2, 576, 240], 'outer_gens': [[193, 2, 8, 432], [721, 2, 40, 364], [869, 746, 520, 820], [725, 722, 488, 168], [245, 726, 520, 844], [845, 506, 40, 936], [101, 510, 8, 72], [889, 246, 488, 432]], 'outer_group': None, 'outer_hash': 6517064034494676899, 'outer_nilpotent': True, 'outer_order': 2048, 'outer_permdeg': 512, 'outer_perms': 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'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^6.C_2^5', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 20, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 4, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 20], [4, 18], [8, 16], [16, 12], [32, 2]], 'representations': {'PC': {'code': 5083395006486078577702418872816762947, 'gens': [1, 2, 4, 6], 'pres': [8, -2, -2, -2, -2, -3, -2, -2, -5, 417, 41, 91, 43781, 141, 48390, 166, 49159]}, 'GLZN': {'d': 2, 'p': 76, 'gens': [17120103, 19919065, 16466007, 16242149, 21509873, 1481351, 5776633, 441865]}, 'Perm': {'d': 20, 'gens': [122000788319563567, 10, 256450636618848013, 1394852659200, 122000789357395223, 23, 1520467223, 50520]}}, 'schur_multiplier': [2, 2, 2, 4], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 12], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': '(C_2\\times C_{12}):D_{20}', 'transitive_degree': 480, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
Hide schema
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id: 143014110
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 4031, 'group_order': 960, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
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id: 143014221
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 4031, 'group_order': 960, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 28, 'size': 1}
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id: 143014309
{'aut_label': '2B', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 4031, 'group_order': 960, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 24, 'size': 1}
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id: 143014320
{'aut_label': '2B', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 4031, 'group_order': 960, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 504, 'size': 1}
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id: 143014331
{'aut_label': '2D', 'centralizer': '1.a1', 'counter': 5, 'group_counter': 4031, 'group_order': 960, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 508, 'size': 1}
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id: 143014342
{'aut_label': '2E', 'centralizer': '1.a1', 'counter': 6, 'group_counter': 4031, 'group_order': 960, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 480, 'size': 1}
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id: 143014353
{'aut_label': '2F', 'centralizer': '1.a1', 'counter': 7, 'group_counter': 4031, 'group_order': 960, 'label': '2F', 'order': 2, 'powers': [1, 7, 7], 'representative': 4, 'size': 1}
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id: 143014364
{'aut_label': '2F', 'centralizer': '1.a1', 'counter': 8, 'group_counter': 4031, 'group_order': 960, 'label': '2G', 'order': 2, 'powers': [1, 8, 8], 'representative': 484, 'size': 1}
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id: 143014375
{'aut_label': '2H', 'centralizer': '20.d1', 'counter': 9, 'group_counter': 4031, 'group_order': 960, 'label': '2H', 'order': 2, 'powers': [1, 9, 9], 'representative': 1, 'size': 20}
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id: 143014111
{'aut_label': '2H', 'centralizer': '20.d1', 'counter': 10, 'group_counter': 4031, 'group_order': 960, 'label': '2I', 'order': 2, 'powers': [1, 10, 10], 'representative': 49, 'size': 20}
-
id: 143014122
{'aut_label': '2H', 'centralizer': '20.d1', 'counter': 11, 'group_counter': 4031, 'group_order': 960, 'label': '2J', 'order': 2, 'powers': [1, 11, 11], 'representative': 5, 'size': 20}
-
id: 143014133
{'aut_label': '2H', 'centralizer': '20.d1', 'counter': 12, 'group_counter': 4031, 'group_order': 960, 'label': '2K', 'order': 2, 'powers': [1, 12, 12], 'representative': 53, 'size': 20}
-
id: 143014144
{'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 13, 'group_counter': 4031, 'group_order': 960, 'label': '3A1', 'order': 3, 'powers': [14, 1, 14], 'representative': 32, 'size': 1}
-
id: 143014155
{'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 14, 'group_counter': 4031, 'group_order': 960, 'label': '3A-1', 'order': 3, 'powers': [13, 1, 13], 'representative': 16, 'size': 1}
-
id: 143014166
{'aut_label': '4A', 'centralizer': '2.c1', 'counter': 15, 'group_counter': 4031, 'group_order': 960, 'label': '4A', 'order': 4, 'powers': [6, 15, 15], 'representative': 720, 'size': 2}
-
id: 143014177
{'aut_label': '4A', 'centralizer': '2.c1', 'counter': 16, 'group_counter': 4031, 'group_order': 960, 'label': '4B', 'order': 4, 'powers': [6, 16, 16], 'representative': 744, 'size': 2}
-
id: 143014188
{'aut_label': '4A', 'centralizer': '2.c1', 'counter': 17, 'group_counter': 4031, 'group_order': 960, 'label': '4C', 'order': 4, 'powers': [6, 17, 17], 'representative': 724, 'size': 2}
-
id: 143014199
{'aut_label': '4A', 'centralizer': '2.c1', 'counter': 18, 'group_counter': 4031, 'group_order': 960, 'label': '4D', 'order': 4, 'powers': [6, 18, 18], 'representative': 748, 'size': 2}
-
id: 143014210
{'aut_label': '4E1', 'centralizer': '2.c1', 'counter': 19, 'group_counter': 4031, 'group_order': 960, 'label': '4E1', 'order': 4, 'powers': [7, 20, 19], 'representative': 6, 'size': 2}
-
id: 143014222
{'aut_label': '4E1', 'centralizer': '2.c1', 'counter': 20, 'group_counter': 4031, 'group_order': 960, 'label': '4E-1', 'order': 4, 'powers': [7, 19, 20], 'representative': 2, 'size': 2}
-
id: 143014233
{'aut_label': '4E1', 'centralizer': '2.c1', 'counter': 21, 'group_counter': 4031, 'group_order': 960, 'label': '4F1', 'order': 4, 'powers': [7, 22, 21], 'representative': 486, 'size': 2}
-
id: 143014244
{'aut_label': '4E1', 'centralizer': '2.c1', 'counter': 22, 'group_counter': 4031, 'group_order': 960, 'label': '4F-1', 'order': 4, 'powers': [7, 21, 22], 'representative': 482, 'size': 2}
-
id: 143014255
{'aut_label': '4E1', 'centralizer': '2.c1', 'counter': 23, 'group_counter': 4031, 'group_order': 960, 'label': '4G1', 'order': 4, 'powers': [8, 24, 23], 'representative': 726, 'size': 2}
-
id: 143014266
{'aut_label': '4E1', 'centralizer': '2.c1', 'counter': 24, 'group_counter': 4031, 'group_order': 960, 'label': '4G-1', 'order': 4, 'powers': [8, 23, 24], 'representative': 242, 'size': 2}
-
id: 143014277
{'aut_label': '4E1', 'centralizer': '2.c1', 'counter': 25, 'group_counter': 4031, 'group_order': 960, 'label': '4H1', 'order': 4, 'powers': [8, 26, 25], 'representative': 750, 'size': 2}
-
id: 143014288
{'aut_label': '4E1', 'centralizer': '2.c1', 'counter': 26, 'group_counter': 4031, 'group_order': 960, 'label': '4H-1', 'order': 4, 'powers': [8, 25, 26], 'representative': 266, 'size': 2}
-
id: 143014299
{'aut_label': '4I1', 'centralizer': '20.e1', 'counter': 27, 'group_counter': 4031, 'group_order': 960, 'label': '4I1', 'order': 4, 'powers': [2, 28, 27], 'representative': 31, 'size': 20}
-
id: 143014307
{'aut_label': '4I1', 'centralizer': '20.e1', 'counter': 28, 'group_counter': 4031, 'group_order': 960, 'label': '4I-1', 'order': 4, 'powers': [2, 27, 28], 'representative': 3, 'size': 20}
-
id: 143014308
{'aut_label': '4I1', 'centralizer': '20.e1', 'counter': 29, 'group_counter': 4031, 'group_order': 960, 'label': '4J1', 'order': 4, 'powers': [2, 30, 29], 'representative': 79, 'size': 20}
-
id: 143014310
{'aut_label': '4I1', 'centralizer': '20.e1', 'counter': 30, 'group_counter': 4031, 'group_order': 960, 'label': '4J-1', 'order': 4, 'powers': [2, 29, 30], 'representative': 51, 'size': 20}
-
id: 143014311
{'aut_label': '5A1', 'centralizer': '2.c1', 'counter': 31, 'group_counter': 4031, 'group_order': 960, 'label': '5A1', 'order': 5, 'powers': [32, 32, 1], 'representative': 192, 'size': 2}
-
id: 143014312
{'aut_label': '5A1', 'centralizer': '2.c1', 'counter': 32, 'group_counter': 4031, 'group_order': 960, 'label': '5A2', 'order': 5, 'powers': [31, 31, 1], 'representative': 384, 'size': 2}
-
id: 143014313
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 33, 'group_counter': 4031, 'group_order': 960, 'label': '6A1', 'order': 6, 'powers': [14, 2, 34], 'representative': 12, 'size': 1}
-
id: 143014314
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 34, 'group_counter': 4031, 'group_order': 960, 'label': '6A-1', 'order': 6, 'powers': [13, 2, 33], 'representative': 44, 'size': 1}
-
id: 143014315
{'aut_label': '6B1', 'centralizer': '1.a1', 'counter': 35, 'group_counter': 4031, 'group_order': 960, 'label': '6B1', 'order': 6, 'powers': [13, 3, 36], 'representative': 40, 'size': 1}
-
id: 143014316
{'aut_label': '6B1', 'centralizer': '1.a1', 'counter': 36, 'group_counter': 4031, 'group_order': 960, 'label': '6B-1', 'order': 6, 'powers': [14, 3, 35], 'representative': 8, 'size': 1}
-
id: 143014317
{'aut_label': '6B1', 'centralizer': '1.a1', 'counter': 37, 'group_counter': 4031, 'group_order': 960, 'label': '6C1', 'order': 6, 'powers': [13, 4, 38], 'representative': 520, 'size': 1}
-
id: 143014318
{'aut_label': '6B1', 'centralizer': '1.a1', 'counter': 38, 'group_counter': 4031, 'group_order': 960, 'label': '6C-1', 'order': 6, 'powers': [14, 4, 37], 'representative': 488, 'size': 1}
-
id: 143014319
{'aut_label': '6D1', 'centralizer': '1.a1', 'counter': 39, 'group_counter': 4031, 'group_order': 960, 'label': '6D1', 'order': 6, 'powers': [13, 5, 40], 'representative': 524, 'size': 1}
-
id: 143014321
{'aut_label': '6D1', 'centralizer': '1.a1', 'counter': 40, 'group_counter': 4031, 'group_order': 960, 'label': '6D-1', 'order': 6, 'powers': [14, 5, 39], 'representative': 492, 'size': 1}
-
id: 143014322
{'aut_label': '6E1', 'centralizer': '1.a1', 'counter': 41, 'group_counter': 4031, 'group_order': 960, 'label': '6E1', 'order': 6, 'powers': [13, 6, 42], 'representative': 496, 'size': 1}
-
id: 143014323
{'aut_label': '6E1', 'centralizer': '1.a1', 'counter': 42, 'group_counter': 4031, 'group_order': 960, 'label': '6E-1', 'order': 6, 'powers': [14, 6, 41], 'representative': 512, 'size': 1}
-
id: 143014324
{'aut_label': '6F1', 'centralizer': '1.a1', 'counter': 43, 'group_counter': 4031, 'group_order': 960, 'label': '6F1', 'order': 6, 'powers': [13, 7, 44], 'representative': 20, 'size': 1}
-
id: 143014325
{'aut_label': '6F1', 'centralizer': '1.a1', 'counter': 44, 'group_counter': 4031, 'group_order': 960, 'label': '6F-1', 'order': 6, 'powers': [14, 7, 43], 'representative': 36, 'size': 1}
-
id: 143014326
{'aut_label': '6F1', 'centralizer': '1.a1', 'counter': 45, 'group_counter': 4031, 'group_order': 960, 'label': '6G1', 'order': 6, 'powers': [13, 8, 46], 'representative': 500, 'size': 1}
-
id: 143014327
{'aut_label': '6F1', 'centralizer': '1.a1', 'counter': 46, 'group_counter': 4031, 'group_order': 960, 'label': '6G-1', 'order': 6, 'powers': [14, 8, 45], 'representative': 516, 'size': 1}
-
id: 143014328
{'aut_label': '6H1', 'centralizer': '20.d1', 'counter': 47, 'group_counter': 4031, 'group_order': 960, 'label': '6H1', 'order': 6, 'powers': [13, 9, 48], 'representative': 17, 'size': 20}
-
id: 143014329
{'aut_label': '6H1', 'centralizer': '20.d1', 'counter': 48, 'group_counter': 4031, 'group_order': 960, 'label': '6H-1', 'order': 6, 'powers': [14, 9, 47], 'representative': 9, 'size': 20}
-
id: 143014330
{'aut_label': '6H1', 'centralizer': '20.d1', 'counter': 49, 'group_counter': 4031, 'group_order': 960, 'label': '6I1', 'order': 6, 'powers': [13, 10, 50], 'representative': 65, 'size': 20}
-
id: 143014332
{'aut_label': '6H1', 'centralizer': '20.d1', 'counter': 50, 'group_counter': 4031, 'group_order': 960, 'label': '6I-1', 'order': 6, 'powers': [14, 10, 49], 'representative': 57, 'size': 20}
-
id: 143014333
{'aut_label': '6H1', 'centralizer': '20.d1', 'counter': 51, 'group_counter': 4031, 'group_order': 960, 'label': '6J1', 'order': 6, 'powers': [13, 11, 52], 'representative': 21, 'size': 20}
-
id: 143014334
{'aut_label': '6H1', 'centralizer': '20.d1', 'counter': 52, 'group_counter': 4031, 'group_order': 960, 'label': '6J-1', 'order': 6, 'powers': [14, 11, 51], 'representative': 13, 'size': 20}
-
id: 143014335
{'aut_label': '6H1', 'centralizer': '20.d1', 'counter': 53, 'group_counter': 4031, 'group_order': 960, 'label': '6K1', 'order': 6, 'powers': [13, 12, 54], 'representative': 69, 'size': 20}
-
id: 143014336
{'aut_label': '6H1', 'centralizer': '20.d1', 'counter': 54, 'group_counter': 4031, 'group_order': 960, 'label': '6K-1', 'order': 6, 'powers': [14, 12, 53], 'representative': 61, 'size': 20}
-
id: 143014337
{'aut_label': '10A1', 'centralizer': '2.c1', 'counter': 55, 'group_counter': 4031, 'group_order': 960, 'label': '10A1', 'order': 10, 'powers': [31, 56, 3], 'representative': 600, 'size': 2}
-
id: 143014338
{'aut_label': '10A1', 'centralizer': '2.c1', 'counter': 56, 'group_counter': 4031, 'group_order': 960, 'label': '10A3', 'order': 10, 'powers': [32, 55, 3], 'representative': 792, 'size': 2}
-
id: 143014339
{'aut_label': '10A1', 'centralizer': '2.c1', 'counter': 57, 'group_counter': 4031, 'group_order': 960, 'label': '10B1', 'order': 10, 'powers': [32, 58, 4], 'representative': 312, 'size': 2}
-
id: 143014340
{'aut_label': '10A1', 'centralizer': '2.c1', 'counter': 58, 'group_counter': 4031, 'group_order': 960, 'label': '10B3', 'order': 10, 'powers': [31, 57, 4], 'representative': 888, 'size': 2}
-
id: 143014341
{'aut_label': '10C1', 'centralizer': '2.c1', 'counter': 59, 'group_counter': 4031, 'group_order': 960, 'label': '10C1', 'order': 10, 'powers': [31, 60, 2], 'representative': 604, 'size': 2}
-
id: 143014343
{'aut_label': '10C1', 'centralizer': '2.c1', 'counter': 60, 'group_counter': 4031, 'group_order': 960, 'label': '10C3', 'order': 10, 'powers': [32, 59, 2], 'representative': 796, 'size': 2}
-
id: 143014344
{'aut_label': '10D1', 'centralizer': '2.c1', 'counter': 61, 'group_counter': 4031, 'group_order': 960, 'label': '10D1', 'order': 10, 'powers': [32, 62, 5], 'representative': 316, 'size': 2}
-
id: 143014345
{'aut_label': '10D1', 'centralizer': '2.c1', 'counter': 62, 'group_counter': 4031, 'group_order': 960, 'label': '10D3', 'order': 10, 'powers': [31, 61, 5], 'representative': 892, 'size': 2}
-
id: 143014346
{'aut_label': '10E1', 'centralizer': '2.c1', 'counter': 63, 'group_counter': 4031, 'group_order': 960, 'label': '10E1', 'order': 10, 'powers': [32, 64, 6], 'representative': 288, 'size': 2}
-
id: 143014347
{'aut_label': '10E1', 'centralizer': '2.c1', 'counter': 64, 'group_counter': 4031, 'group_order': 960, 'label': '10E3', 'order': 10, 'powers': [31, 63, 6], 'representative': 864, 'size': 2}
-
id: 143014348
{'aut_label': '10F1', 'centralizer': '2.c1', 'counter': 65, 'group_counter': 4031, 'group_order': 960, 'label': '10F1', 'order': 10, 'powers': [32, 66, 7], 'representative': 196, 'size': 2}
-
id: 143014349
{'aut_label': '10F1', 'centralizer': '2.c1', 'counter': 66, 'group_counter': 4031, 'group_order': 960, 'label': '10F3', 'order': 10, 'powers': [31, 65, 7], 'representative': 580, 'size': 2}
-
id: 143014350
{'aut_label': '10F1', 'centralizer': '2.c1', 'counter': 67, 'group_counter': 4031, 'group_order': 960, 'label': '10G1', 'order': 10, 'powers': [32, 68, 8], 'representative': 292, 'size': 2}
-
id: 143014351
{'aut_label': '10F1', 'centralizer': '2.c1', 'counter': 68, 'group_counter': 4031, 'group_order': 960, 'label': '10G3', 'order': 10, 'powers': [31, 67, 8], 'representative': 868, 'size': 2}
-
id: 143014352
{'aut_label': '12A1', 'centralizer': '2.c1', 'counter': 69, 'group_counter': 4031, 'group_order': 960, 'label': '12A1', 'order': 12, 'powers': [41, 15, 70], 'representative': 272, 'size': 2}
-
id: 143014354
{'aut_label': '12A1', 'centralizer': '2.c1', 'counter': 70, 'group_counter': 4031, 'group_order': 960, 'label': '12A-1', 'order': 12, 'powers': [42, 15, 69], 'representative': 736, 'size': 2}
-
id: 143014355
{'aut_label': '12A1', 'centralizer': '2.c1', 'counter': 71, 'group_counter': 4031, 'group_order': 960, 'label': '12B1', 'order': 12, 'powers': [42, 16, 72], 'representative': 280, 'size': 2}
-
id: 143014356
{'aut_label': '12A1', 'centralizer': '2.c1', 'counter': 72, 'group_counter': 4031, 'group_order': 960, 'label': '12B-1', 'order': 12, 'powers': [41, 16, 71], 'representative': 728, 'size': 2}
-
id: 143014357
{'aut_label': '12A1', 'centralizer': '2.c1', 'counter': 73, 'group_counter': 4031, 'group_order': 960, 'label': '12C1', 'order': 12, 'powers': [41, 17, 74], 'representative': 276, 'size': 2}
-
id: 143014358
{'aut_label': '12A1', 'centralizer': '2.c1', 'counter': 74, 'group_counter': 4031, 'group_order': 960, 'label': '12C-1', 'order': 12, 'powers': [42, 17, 73], 'representative': 740, 'size': 2}
-
id: 143014359
{'aut_label': '12A1', 'centralizer': '2.c1', 'counter': 75, 'group_counter': 4031, 'group_order': 960, 'label': '12D1', 'order': 12, 'powers': [42, 18, 76], 'representative': 284, 'size': 2}
-
id: 143014360
{'aut_label': '12A1', 'centralizer': '2.c1', 'counter': 76, 'group_counter': 4031, 'group_order': 960, 'label': '12D-1', 'order': 12, 'powers': [41, 18, 75], 'representative': 732, 'size': 2}
-
id: 143014361
{'aut_label': '12E1', 'centralizer': '2.c1', 'counter': 77, 'group_counter': 4031, 'group_order': 960, 'label': '12E1', 'order': 12, 'powers': [43, 19, 79], 'representative': 34, 'size': 2}
-
id: 143014362
{'aut_label': '12E1', 'centralizer': '2.c1', 'counter': 78, 'group_counter': 4031, 'group_order': 960, 'label': '12E-1', 'order': 12, 'powers': [44, 20, 80], 'representative': 22, 'size': 2}
-
id: 143014363
{'aut_label': '12E1', 'centralizer': '2.c1', 'counter': 79, 'group_counter': 4031, 'group_order': 960, 'label': '12E5', 'order': 12, 'powers': [44, 19, 77], 'representative': 18, 'size': 2}
-
id: 143014365
{'aut_label': '12E1', 'centralizer': '2.c1', 'counter': 80, 'group_counter': 4031, 'group_order': 960, 'label': '12E-5', 'order': 12, 'powers': [43, 20, 78], 'representative': 38, 'size': 2}
-
id: 143014366
{'aut_label': '12E1', 'centralizer': '2.c1', 'counter': 81, 'group_counter': 4031, 'group_order': 960, 'label': '12F1', 'order': 12, 'powers': [43, 21, 83], 'representative': 514, 'size': 2}
-
id: 143014367
{'aut_label': '12E1', 'centralizer': '2.c1', 'counter': 82, 'group_counter': 4031, 'group_order': 960, 'label': '12F-1', 'order': 12, 'powers': [44, 22, 84], 'representative': 502, 'size': 2}
-
id: 143014368
{'aut_label': '12E1', 'centralizer': '2.c1', 'counter': 83, 'group_counter': 4031, 'group_order': 960, 'label': '12F5', 'order': 12, 'powers': [44, 21, 81], 'representative': 498, 'size': 2}
-
id: 143014369
{'aut_label': '12E1', 'centralizer': '2.c1', 'counter': 84, 'group_counter': 4031, 'group_order': 960, 'label': '12F-5', 'order': 12, 'powers': [43, 22, 82], 'representative': 518, 'size': 2}
-
id: 143014370
{'aut_label': '12E1', 'centralizer': '2.c1', 'counter': 85, 'group_counter': 4031, 'group_order': 960, 'label': '12G1', 'order': 12, 'powers': [45, 23, 87], 'representative': 274, 'size': 2}
-
id: 143014371
{'aut_label': '12E1', 'centralizer': '2.c1', 'counter': 86, 'group_counter': 4031, 'group_order': 960, 'label': '12G-1', 'order': 12, 'powers': [46, 24, 88], 'representative': 742, 'size': 2}
-
id: 143014372
{'aut_label': '12E1', 'centralizer': '2.c1', 'counter': 87, 'group_counter': 4031, 'group_order': 960, 'label': '12G5', 'order': 12, 'powers': [46, 23, 85], 'representative': 258, 'size': 2}
-
id: 143014373
{'aut_label': '12E1', 'centralizer': '2.c1', 'counter': 88, 'group_counter': 4031, 'group_order': 960, 'label': '12G-5', 'order': 12, 'powers': [45, 24, 86], 'representative': 758, 'size': 2}
-
id: 143014374
{'aut_label': '12E1', 'centralizer': '2.c1', 'counter': 89, 'group_counter': 4031, 'group_order': 960, 'label': '12H1', 'order': 12, 'powers': [46, 25, 91], 'representative': 282, 'size': 2}
-
id: 143014376
{'aut_label': '12E1', 'centralizer': '2.c1', 'counter': 90, 'group_counter': 4031, 'group_order': 960, 'label': '12H-1', 'order': 12, 'powers': [45, 26, 92], 'representative': 734, 'size': 2}
-
id: 143014377
{'aut_label': '12E1', 'centralizer': '2.c1', 'counter': 91, 'group_counter': 4031, 'group_order': 960, 'label': '12H5', 'order': 12, 'powers': [45, 25, 89], 'representative': 250, 'size': 2}
-
id: 143014378
{'aut_label': '12E1', 'centralizer': '2.c1', 'counter': 92, 'group_counter': 4031, 'group_order': 960, 'label': '12H-5', 'order': 12, 'powers': [46, 26, 90], 'representative': 766, 'size': 2}
-
id: 143014379
{'aut_label': '12I1', 'centralizer': '20.e1', 'counter': 93, 'group_counter': 4031, 'group_order': 960, 'label': '12I1', 'order': 12, 'powers': [33, 27, 95], 'representative': 19, 'size': 20}
-
id: 143014380
{'aut_label': '12I1', 'centralizer': '20.e1', 'counter': 94, 'group_counter': 4031, 'group_order': 960, 'label': '12I-1', 'order': 12, 'powers': [34, 28, 96], 'representative': 15, 'size': 20}
-
id: 143014381
{'aut_label': '12I1', 'centralizer': '20.e1', 'counter': 95, 'group_counter': 4031, 'group_order': 960, 'label': '12I5', 'order': 12, 'powers': [34, 27, 93], 'representative': 11, 'size': 20}
-
id: 143014382
{'aut_label': '12I1', 'centralizer': '20.e1', 'counter': 96, 'group_counter': 4031, 'group_order': 960, 'label': '12I-5', 'order': 12, 'powers': [33, 28, 94], 'representative': 23, 'size': 20}
-
id: 143014383
{'aut_label': '12I1', 'centralizer': '20.e1', 'counter': 97, 'group_counter': 4031, 'group_order': 960, 'label': '12J1', 'order': 12, 'powers': [33, 29, 99], 'representative': 67, 'size': 20}
-
id: 143014384
{'aut_label': '12I1', 'centralizer': '20.e1', 'counter': 98, 'group_counter': 4031, 'group_order': 960, 'label': '12J-1', 'order': 12, 'powers': [34, 30, 100], 'representative': 63, 'size': 20}
-
id: 143014385
{'aut_label': '12I1', 'centralizer': '20.e1', 'counter': 99, 'group_counter': 4031, 'group_order': 960, 'label': '12J5', 'order': 12, 'powers': [34, 29, 97], 'representative': 59, 'size': 20}
-
id: 143014112
{'aut_label': '12I1', 'centralizer': '20.e1', 'counter': 100, 'group_counter': 4031, 'group_order': 960, 'label': '12J-5', 'order': 12, 'powers': [33, 30, 98], 'representative': 71, 'size': 20}
-
id: 143014113
{'aut_label': '15A1', 'centralizer': '2.c1', 'counter': 101, 'group_counter': 4031, 'group_order': 960, 'label': '15A1', 'order': 15, 'powers': [103, 31, 13], 'representative': 400, 'size': 2}
-
id: 143014114
{'aut_label': '15A1', 'centralizer': '2.c1', 'counter': 102, 'group_counter': 4031, 'group_order': 960, 'label': '15A-1', 'order': 15, 'powers': [104, 31, 14], 'representative': 608, 'size': 2}
-
id: 143014115
{'aut_label': '15A1', 'centralizer': '2.c1', 'counter': 103, 'group_counter': 4031, 'group_order': 960, 'label': '15A2', 'order': 15, 'powers': [101, 32, 14], 'representative': 800, 'size': 2}
-
id: 143014116
{'aut_label': '15A1', 'centralizer': '2.c1', 'counter': 104, 'group_counter': 4031, 'group_order': 960, 'label': '15A-2', 'order': 15, 'powers': [102, 32, 13], 'representative': 208, 'size': 2}
-
id: 143014117
{'aut_label': '20A1', 'centralizer': '2.c1', 'counter': 105, 'group_counter': 4031, 'group_order': 960, 'label': '20A1', 'order': 20, 'powers': [63, 106, 15], 'representative': 144, 'size': 2}
-
id: 143014118
{'aut_label': '20A1', 'centralizer': '2.c1', 'counter': 106, 'group_counter': 4031, 'group_order': 960, 'label': '20A3', 'order': 20, 'powers': [64, 108, 15], 'representative': 432, 'size': 2}
-
id: 143014119
{'aut_label': '20A1', 'centralizer': '2.c1', 'counter': 107, 'group_counter': 4031, 'group_order': 960, 'label': '20A7', 'order': 20, 'powers': [64, 105, 15], 'representative': 48, 'size': 2}
-
id: 143014120
{'aut_label': '20A1', 'centralizer': '2.c1', 'counter': 108, 'group_counter': 4031, 'group_order': 960, 'label': '20A9', 'order': 20, 'powers': [63, 107, 15], 'representative': 336, 'size': 2}
-
id: 143014121
{'aut_label': '20A1', 'centralizer': '2.c1', 'counter': 109, 'group_counter': 4031, 'group_order': 960, 'label': '20B1', 'order': 20, 'powers': [63, 110, 16], 'representative': 168, 'size': 2}
-
id: 143014123
{'aut_label': '20A1', 'centralizer': '2.c1', 'counter': 110, 'group_counter': 4031, 'group_order': 960, 'label': '20B3', 'order': 20, 'powers': [64, 112, 16], 'representative': 456, 'size': 2}
-
id: 143014124
{'aut_label': '20A1', 'centralizer': '2.c1', 'counter': 111, 'group_counter': 4031, 'group_order': 960, 'label': '20B7', 'order': 20, 'powers': [64, 109, 16], 'representative': 72, 'size': 2}
-
id: 143014125
{'aut_label': '20A1', 'centralizer': '2.c1', 'counter': 112, 'group_counter': 4031, 'group_order': 960, 'label': '20B9', 'order': 20, 'powers': [63, 111, 16], 'representative': 360, 'size': 2}
-
id: 143014126
{'aut_label': '20A1', 'centralizer': '2.c1', 'counter': 113, 'group_counter': 4031, 'group_order': 960, 'label': '20C1', 'order': 20, 'powers': [63, 114, 17], 'representative': 148, 'size': 2}
-
id: 143014127
{'aut_label': '20A1', 'centralizer': '2.c1', 'counter': 114, 'group_counter': 4031, 'group_order': 960, 'label': '20C3', 'order': 20, 'powers': [64, 116, 17], 'representative': 436, 'size': 2}
-
id: 143014128
{'aut_label': '20A1', 'centralizer': '2.c1', 'counter': 115, 'group_counter': 4031, 'group_order': 960, 'label': '20C7', 'order': 20, 'powers': [64, 113, 17], 'representative': 52, 'size': 2}
-
id: 143014129
{'aut_label': '20A1', 'centralizer': '2.c1', 'counter': 116, 'group_counter': 4031, 'group_order': 960, 'label': '20C9', 'order': 20, 'powers': [63, 115, 17], 'representative': 340, 'size': 2}
-
id: 143014130
{'aut_label': '20A1', 'centralizer': '2.c1', 'counter': 117, 'group_counter': 4031, 'group_order': 960, 'label': '20D1', 'order': 20, 'powers': [63, 118, 18], 'representative': 172, 'size': 2}
-
id: 143014131
{'aut_label': '20A1', 'centralizer': '2.c1', 'counter': 118, 'group_counter': 4031, 'group_order': 960, 'label': '20D3', 'order': 20, 'powers': [64, 120, 18], 'representative': 460, 'size': 2}
-
id: 143014132
{'aut_label': '20A1', 'centralizer': '2.c1', 'counter': 119, 'group_counter': 4031, 'group_order': 960, 'label': '20D7', 'order': 20, 'powers': [64, 117, 18], 'representative': 76, 'size': 2}
-
id: 143014134
{'aut_label': '20A1', 'centralizer': '2.c1', 'counter': 120, 'group_counter': 4031, 'group_order': 960, 'label': '20D9', 'order': 20, 'powers': [63, 119, 18], 'representative': 364, 'size': 2}
-
id: 143014135
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 121, 'group_counter': 4031, 'group_order': 960, 'label': '20E1', 'order': 20, 'powers': [65, 123, 19], 'representative': 582, 'size': 2}
-
id: 143014136
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 122, 'group_counter': 4031, 'group_order': 960, 'label': '20E-1', 'order': 20, 'powers': [65, 124, 20], 'representative': 386, 'size': 2}
-
id: 143014137
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 123, 'group_counter': 4031, 'group_order': 960, 'label': '20E3', 'order': 20, 'powers': [66, 127, 20], 'representative': 770, 'size': 2}
-
id: 143014138
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 124, 'group_counter': 4031, 'group_order': 960, 'label': '20E-3', 'order': 20, 'powers': [66, 128, 19], 'representative': 198, 'size': 2}
-
id: 143014139
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 125, 'group_counter': 4031, 'group_order': 960, 'label': '20E7', 'order': 20, 'powers': [66, 121, 20], 'representative': 194, 'size': 2}
-
id: 143014140
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 126, 'group_counter': 4031, 'group_order': 960, 'label': '20E-7', 'order': 20, 'powers': [66, 122, 19], 'representative': 774, 'size': 2}
-
id: 143014141
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 127, 'group_counter': 4031, 'group_order': 960, 'label': '20E9', 'order': 20, 'powers': [65, 125, 19], 'representative': 390, 'size': 2}
-
id: 143014142
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 128, 'group_counter': 4031, 'group_order': 960, 'label': '20E-9', 'order': 20, 'powers': [65, 126, 20], 'representative': 578, 'size': 2}
-
id: 143014143
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 129, 'group_counter': 4031, 'group_order': 960, 'label': '20F1', 'order': 20, 'powers': [66, 131, 21], 'representative': 294, 'size': 2}
-
id: 143014145
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 130, 'group_counter': 4031, 'group_order': 960, 'label': '20F-1', 'order': 20, 'powers': [66, 132, 22], 'representative': 674, 'size': 2}
-
id: 143014146
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 131, 'group_counter': 4031, 'group_order': 960, 'label': '20F3', 'order': 20, 'powers': [65, 135, 22], 'representative': 866, 'size': 2}
-
id: 143014147
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 132, 'group_counter': 4031, 'group_order': 960, 'label': '20F-3', 'order': 20, 'powers': [65, 136, 21], 'representative': 102, 'size': 2}
-
id: 143014148
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 133, 'group_counter': 4031, 'group_order': 960, 'label': '20F7', 'order': 20, 'powers': [65, 129, 22], 'representative': 98, 'size': 2}
-
id: 143014149
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 134, 'group_counter': 4031, 'group_order': 960, 'label': '20F-7', 'order': 20, 'powers': [65, 130, 21], 'representative': 870, 'size': 2}
-
id: 143014150
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 135, 'group_counter': 4031, 'group_order': 960, 'label': '20F9', 'order': 20, 'powers': [66, 133, 21], 'representative': 678, 'size': 2}
-
id: 143014151
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 136, 'group_counter': 4031, 'group_order': 960, 'label': '20F-9', 'order': 20, 'powers': [66, 134, 22], 'representative': 290, 'size': 2}
-
id: 143014152
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 137, 'group_counter': 4031, 'group_order': 960, 'label': '20G1', 'order': 20, 'powers': [67, 139, 23], 'representative': 150, 'size': 2}
-
id: 143014153
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 138, 'group_counter': 4031, 'group_order': 960, 'label': '20G-1', 'order': 20, 'powers': [67, 140, 24], 'representative': 818, 'size': 2}
-
id: 143014154
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 139, 'group_counter': 4031, 'group_order': 960, 'label': '20G3', 'order': 20, 'powers': [68, 143, 24], 'representative': 434, 'size': 2}
-
id: 143014156
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 140, 'group_counter': 4031, 'group_order': 960, 'label': '20G-3', 'order': 20, 'powers': [68, 144, 23], 'representative': 534, 'size': 2}
-
id: 143014157
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 141, 'group_counter': 4031, 'group_order': 960, 'label': '20G7', 'order': 20, 'powers': [68, 137, 24], 'representative': 50, 'size': 2}
-
id: 143014158
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 142, 'group_counter': 4031, 'group_order': 960, 'label': '20G-7', 'order': 20, 'powers': [68, 138, 23], 'representative': 918, 'size': 2}
-
id: 143014159
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 143, 'group_counter': 4031, 'group_order': 960, 'label': '20G9', 'order': 20, 'powers': [67, 141, 23], 'representative': 342, 'size': 2}
-
id: 143014160
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 144, 'group_counter': 4031, 'group_order': 960, 'label': '20G-9', 'order': 20, 'powers': [67, 142, 24], 'representative': 626, 'size': 2}
-
id: 143014161
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 145, 'group_counter': 4031, 'group_order': 960, 'label': '20H1', 'order': 20, 'powers': [67, 147, 25], 'representative': 174, 'size': 2}
-
id: 143014162
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 146, 'group_counter': 4031, 'group_order': 960, 'label': '20H-1', 'order': 20, 'powers': [67, 148, 26], 'representative': 842, 'size': 2}
-
id: 143014163
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 147, 'group_counter': 4031, 'group_order': 960, 'label': '20H3', 'order': 20, 'powers': [68, 151, 26], 'representative': 458, 'size': 2}
-
id: 143014164
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 148, 'group_counter': 4031, 'group_order': 960, 'label': '20H-3', 'order': 20, 'powers': [68, 152, 25], 'representative': 558, 'size': 2}
-
id: 143014165
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 149, 'group_counter': 4031, 'group_order': 960, 'label': '20H7', 'order': 20, 'powers': [68, 145, 26], 'representative': 74, 'size': 2}
-
id: 143014167
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 150, 'group_counter': 4031, 'group_order': 960, 'label': '20H-7', 'order': 20, 'powers': [68, 146, 25], 'representative': 942, 'size': 2}
-
id: 143014168
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 151, 'group_counter': 4031, 'group_order': 960, 'label': '20H9', 'order': 20, 'powers': [67, 149, 25], 'representative': 366, 'size': 2}
-
id: 143014169
{'aut_label': '20E1', 'centralizer': '2.c1', 'counter': 152, 'group_counter': 4031, 'group_order': 960, 'label': '20H-9', 'order': 20, 'powers': [67, 150, 26], 'representative': 650, 'size': 2}
-
id: 143014170
{'aut_label': '30A1', 'centralizer': '2.c1', 'counter': 153, 'group_counter': 4031, 'group_order': 960, 'label': '30A1', 'order': 30, 'powers': [101, 55, 35], 'representative': 200, 'size': 2}
-
id: 143014171
{'aut_label': '30A1', 'centralizer': '2.c1', 'counter': 154, 'group_counter': 4031, 'group_order': 960, 'label': '30A-1', 'order': 30, 'powers': [102, 55, 36], 'representative': 232, 'size': 2}
-
id: 143014172
{'aut_label': '30A1', 'centralizer': '2.c1', 'counter': 155, 'group_counter': 4031, 'group_order': 960, 'label': '30A7', 'order': 30, 'powers': [104, 56, 35], 'representative': 392, 'size': 2}
-
id: 143014173
{'aut_label': '30A1', 'centralizer': '2.c1', 'counter': 156, 'group_counter': 4031, 'group_order': 960, 'label': '30A-7', 'order': 30, 'powers': [103, 56, 36], 'representative': 424, 'size': 2}
-
id: 143014174
{'aut_label': '30A1', 'centralizer': '2.c1', 'counter': 157, 'group_counter': 4031, 'group_order': 960, 'label': '30B1', 'order': 30, 'powers': [104, 57, 37], 'representative': 104, 'size': 2}
-
id: 143014175
{'aut_label': '30A1', 'centralizer': '2.c1', 'counter': 158, 'group_counter': 4031, 'group_order': 960, 'label': '30B-1', 'order': 30, 'powers': [103, 57, 38], 'representative': 136, 'size': 2}
-
id: 143014176
{'aut_label': '30A1', 'centralizer': '2.c1', 'counter': 159, 'group_counter': 4031, 'group_order': 960, 'label': '30B7', 'order': 30, 'powers': [101, 58, 37], 'representative': 296, 'size': 2}
-
id: 143014178
{'aut_label': '30A1', 'centralizer': '2.c1', 'counter': 160, 'group_counter': 4031, 'group_order': 960, 'label': '30B-7', 'order': 30, 'powers': [102, 58, 38], 'representative': 328, 'size': 2}
-
id: 143014179
{'aut_label': '30C1', 'centralizer': '2.c1', 'counter': 161, 'group_counter': 4031, 'group_order': 960, 'label': '30C1', 'order': 30, 'powers': [101, 59, 34], 'representative': 204, 'size': 2}
-
id: 143014180
{'aut_label': '30C1', 'centralizer': '2.c1', 'counter': 162, 'group_counter': 4031, 'group_order': 960, 'label': '30C-1', 'order': 30, 'powers': [102, 59, 33], 'representative': 236, 'size': 2}
-
id: 143014181
{'aut_label': '30C1', 'centralizer': '2.c1', 'counter': 163, 'group_counter': 4031, 'group_order': 960, 'label': '30C7', 'order': 30, 'powers': [104, 60, 34], 'representative': 396, 'size': 2}
-
id: 143014182
{'aut_label': '30C1', 'centralizer': '2.c1', 'counter': 164, 'group_counter': 4031, 'group_order': 960, 'label': '30C-7', 'order': 30, 'powers': [103, 60, 33], 'representative': 428, 'size': 2}
-
id: 143014183
{'aut_label': '30D1', 'centralizer': '2.c1', 'counter': 165, 'group_counter': 4031, 'group_order': 960, 'label': '30D1', 'order': 30, 'powers': [104, 61, 39], 'representative': 108, 'size': 2}
-
id: 143014184
{'aut_label': '30D1', 'centralizer': '2.c1', 'counter': 166, 'group_counter': 4031, 'group_order': 960, 'label': '30D-1', 'order': 30, 'powers': [103, 61, 40], 'representative': 140, 'size': 2}
-
id: 143014185
{'aut_label': '30D1', 'centralizer': '2.c1', 'counter': 167, 'group_counter': 4031, 'group_order': 960, 'label': '30D7', 'order': 30, 'powers': [101, 62, 39], 'representative': 300, 'size': 2}
-
id: 143014186
{'aut_label': '30D1', 'centralizer': '2.c1', 'counter': 168, 'group_counter': 4031, 'group_order': 960, 'label': '30D-7', 'order': 30, 'powers': [102, 62, 40], 'representative': 332, 'size': 2}
-
id: 143014187
{'aut_label': '30E1', 'centralizer': '2.c1', 'counter': 169, 'group_counter': 4031, 'group_order': 960, 'label': '30E1', 'order': 30, 'powers': [104, 63, 41], 'representative': 128, 'size': 2}
-
id: 143014189
{'aut_label': '30E1', 'centralizer': '2.c1', 'counter': 170, 'group_counter': 4031, 'group_order': 960, 'label': '30E-1', 'order': 30, 'powers': [103, 63, 42], 'representative': 880, 'size': 2}
-
id: 143014190
{'aut_label': '30E1', 'centralizer': '2.c1', 'counter': 171, 'group_counter': 4031, 'group_order': 960, 'label': '30E7', 'order': 30, 'powers': [101, 64, 41], 'representative': 704, 'size': 2}
-
id: 143014191
{'aut_label': '30E1', 'centralizer': '2.c1', 'counter': 172, 'group_counter': 4031, 'group_order': 960, 'label': '30E-7', 'order': 30, 'powers': [102, 64, 42], 'representative': 304, 'size': 2}
-
id: 143014192
{'aut_label': '30F1', 'centralizer': '2.c1', 'counter': 173, 'group_counter': 4031, 'group_order': 960, 'label': '30F1', 'order': 30, 'powers': [104, 65, 43], 'representative': 420, 'size': 2}
-
id: 143014193
{'aut_label': '30F1', 'centralizer': '2.c1', 'counter': 174, 'group_counter': 4031, 'group_order': 960, 'label': '30F-1', 'order': 30, 'powers': [103, 65, 44], 'representative': 596, 'size': 2}
-
id: 143014194
{'aut_label': '30F1', 'centralizer': '2.c1', 'counter': 175, 'group_counter': 4031, 'group_order': 960, 'label': '30F7', 'order': 30, 'powers': [101, 66, 43], 'representative': 804, 'size': 2}
-
id: 143014195
{'aut_label': '30F1', 'centralizer': '2.c1', 'counter': 176, 'group_counter': 4031, 'group_order': 960, 'label': '30F-7', 'order': 30, 'powers': [102, 66, 44], 'representative': 212, 'size': 2}
-
id: 143014196
{'aut_label': '30F1', 'centralizer': '2.c1', 'counter': 177, 'group_counter': 4031, 'group_order': 960, 'label': '30G1', 'order': 30, 'powers': [104, 67, 45], 'representative': 132, 'size': 2}
-
id: 143014197
{'aut_label': '30F1', 'centralizer': '2.c1', 'counter': 178, 'group_counter': 4031, 'group_order': 960, 'label': '30G-1', 'order': 30, 'powers': [103, 67, 46], 'representative': 884, 'size': 2}
-
id: 143014198
{'aut_label': '30F1', 'centralizer': '2.c1', 'counter': 179, 'group_counter': 4031, 'group_order': 960, 'label': '30G7', 'order': 30, 'powers': [101, 68, 45], 'representative': 708, 'size': 2}
-
id: 143014200
{'aut_label': '30F1', 'centralizer': '2.c1', 'counter': 180, 'group_counter': 4031, 'group_order': 960, 'label': '30G-7', 'order': 30, 'powers': [102, 68, 46], 'representative': 308, 'size': 2}
-
id: 143014201
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 181, 'group_counter': 4031, 'group_order': 960, 'label': '60A1', 'order': 60, 'powers': [169, 105, 69], 'representative': 64, 'size': 2}
-
id: 143014202
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 182, 'group_counter': 4031, 'group_order': 960, 'label': '60A-1', 'order': 60, 'powers': [170, 105, 70], 'representative': 80, 'size': 2}
-
id: 143014203
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 183, 'group_counter': 4031, 'group_order': 960, 'label': '60A7', 'order': 60, 'powers': [171, 107, 69], 'representative': 640, 'size': 2}
-
id: 143014204
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 184, 'group_counter': 4031, 'group_order': 960, 'label': '60A-7', 'order': 60, 'powers': [172, 107, 70], 'representative': 656, 'size': 2}
-
id: 143014205
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 185, 'group_counter': 4031, 'group_order': 960, 'label': '60A11', 'order': 60, 'powers': [170, 108, 70], 'representative': 464, 'size': 2}
-
id: 143014206
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 186, 'group_counter': 4031, 'group_order': 960, 'label': '60A-11', 'order': 60, 'powers': [169, 108, 69], 'representative': 448, 'size': 2}
-
id: 143014207
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 187, 'group_counter': 4031, 'group_order': 960, 'label': '60A17', 'order': 60, 'powers': [172, 106, 70], 'representative': 176, 'size': 2}
-
id: 143014208
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 188, 'group_counter': 4031, 'group_order': 960, 'label': '60A-17', 'order': 60, 'powers': [171, 106, 69], 'representative': 160, 'size': 2}
-
id: 143014209
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 189, 'group_counter': 4031, 'group_order': 960, 'label': '60B1', 'order': 60, 'powers': [170, 109, 71], 'representative': 56, 'size': 2}
-
id: 143014211
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 190, 'group_counter': 4031, 'group_order': 960, 'label': '60B-1', 'order': 60, 'powers': [169, 109, 72], 'representative': 88, 'size': 2}
-
id: 143014212
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 191, 'group_counter': 4031, 'group_order': 960, 'label': '60B7', 'order': 60, 'powers': [172, 111, 71], 'representative': 632, 'size': 2}
-
id: 143014213
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 192, 'group_counter': 4031, 'group_order': 960, 'label': '60B-7', 'order': 60, 'powers': [171, 111, 72], 'representative': 664, 'size': 2}
-
id: 143014214
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 193, 'group_counter': 4031, 'group_order': 960, 'label': '60B11', 'order': 60, 'powers': [169, 112, 72], 'representative': 472, 'size': 2}
-
id: 143014215
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 194, 'group_counter': 4031, 'group_order': 960, 'label': '60B-11', 'order': 60, 'powers': [170, 112, 71], 'representative': 440, 'size': 2}
-
id: 143014216
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 195, 'group_counter': 4031, 'group_order': 960, 'label': '60B17', 'order': 60, 'powers': [171, 110, 72], 'representative': 184, 'size': 2}
-
id: 143014217
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 196, 'group_counter': 4031, 'group_order': 960, 'label': '60B-17', 'order': 60, 'powers': [172, 110, 71], 'representative': 152, 'size': 2}
-
id: 143014218
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 197, 'group_counter': 4031, 'group_order': 960, 'label': '60C1', 'order': 60, 'powers': [169, 113, 73], 'representative': 68, 'size': 2}
-
id: 143014219
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 198, 'group_counter': 4031, 'group_order': 960, 'label': '60C-1', 'order': 60, 'powers': [170, 113, 74], 'representative': 84, 'size': 2}
-
id: 143014220
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 199, 'group_counter': 4031, 'group_order': 960, 'label': '60C7', 'order': 60, 'powers': [171, 115, 73], 'representative': 644, 'size': 2}
-
id: 143014223
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 200, 'group_counter': 4031, 'group_order': 960, 'label': '60C-7', 'order': 60, 'powers': [172, 115, 74], 'representative': 660, 'size': 2}
-
id: 143014224
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 201, 'group_counter': 4031, 'group_order': 960, 'label': '60C11', 'order': 60, 'powers': [170, 116, 74], 'representative': 468, 'size': 2}
-
id: 143014225
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 202, 'group_counter': 4031, 'group_order': 960, 'label': '60C-11', 'order': 60, 'powers': [169, 116, 73], 'representative': 452, 'size': 2}
-
id: 143014226
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 203, 'group_counter': 4031, 'group_order': 960, 'label': '60C17', 'order': 60, 'powers': [172, 114, 74], 'representative': 180, 'size': 2}
-
id: 143014227
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 204, 'group_counter': 4031, 'group_order': 960, 'label': '60C-17', 'order': 60, 'powers': [171, 114, 73], 'representative': 164, 'size': 2}
-
id: 143014228
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 205, 'group_counter': 4031, 'group_order': 960, 'label': '60D1', 'order': 60, 'powers': [170, 117, 75], 'representative': 60, 'size': 2}
-
id: 143014229
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 206, 'group_counter': 4031, 'group_order': 960, 'label': '60D-1', 'order': 60, 'powers': [169, 117, 76], 'representative': 92, 'size': 2}
-
id: 143014230
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 207, 'group_counter': 4031, 'group_order': 960, 'label': '60D7', 'order': 60, 'powers': [172, 119, 75], 'representative': 636, 'size': 2}
-
id: 143014231
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 208, 'group_counter': 4031, 'group_order': 960, 'label': '60D-7', 'order': 60, 'powers': [171, 119, 76], 'representative': 668, 'size': 2}
-
id: 143014232
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 209, 'group_counter': 4031, 'group_order': 960, 'label': '60D11', 'order': 60, 'powers': [169, 120, 76], 'representative': 476, 'size': 2}
-
id: 143014234
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 210, 'group_counter': 4031, 'group_order': 960, 'label': '60D-11', 'order': 60, 'powers': [170, 120, 75], 'representative': 444, 'size': 2}
-
id: 143014235
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 211, 'group_counter': 4031, 'group_order': 960, 'label': '60D17', 'order': 60, 'powers': [171, 118, 76], 'representative': 188, 'size': 2}
-
id: 143014236
{'aut_label': '60A1', 'centralizer': '2.c1', 'counter': 212, 'group_counter': 4031, 'group_order': 960, 'label': '60D-17', 'order': 60, 'powers': [172, 118, 75], 'representative': 156, 'size': 2}
-
id: 143014237
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 213, 'group_counter': 4031, 'group_order': 960, 'label': '60E1', 'order': 60, 'powers': [173, 121, 77], 'representative': 210, 'size': 2}
-
id: 143014238
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 214, 'group_counter': 4031, 'group_order': 960, 'label': '60E-1', 'order': 60, 'powers': [174, 122, 78], 'representative': 206, 'size': 2}
-
id: 143014239
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 215, 'group_counter': 4031, 'group_order': 960, 'label': '60E7', 'order': 60, 'powers': [175, 125, 80], 'representative': 406, 'size': 2}
-
id: 143014240
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 216, 'group_counter': 4031, 'group_order': 960, 'label': '60E-7', 'order': 60, 'powers': [176, 126, 79], 'representative': 394, 'size': 2}
-
id: 143014241
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 217, 'group_counter': 4031, 'group_order': 960, 'label': '60E11', 'order': 60, 'powers': [174, 128, 78], 'representative': 230, 'size': 2}
-
id: 143014242
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 218, 'group_counter': 4031, 'group_order': 960, 'label': '60E-11', 'order': 60, 'powers': [173, 127, 77], 'representative': 786, 'size': 2}
-
id: 143014243
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 219, 'group_counter': 4031, 'group_order': 960, 'label': '60E13', 'order': 60, 'powers': [175, 126, 77], 'representative': 594, 'size': 2}
-
id: 143014245
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 220, 'group_counter': 4031, 'group_order': 960, 'label': '60E-13', 'order': 60, 'powers': [176, 125, 78], 'representative': 422, 'size': 2}
-
id: 143014246
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 221, 'group_counter': 4031, 'group_order': 960, 'label': '60E17', 'order': 60, 'powers': [176, 124, 79], 'representative': 418, 'size': 2}
-
id: 143014247
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 222, 'group_counter': 4031, 'group_order': 960, 'label': '60E-17', 'order': 60, 'powers': [175, 123, 80], 'representative': 598, 'size': 2}
-
id: 143014248
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 223, 'group_counter': 4031, 'group_order': 960, 'label': '60E19', 'order': 60, 'powers': [173, 122, 80], 'representative': 790, 'size': 2}
-
id: 143014249
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 224, 'group_counter': 4031, 'group_order': 960, 'label': '60E-19', 'order': 60, 'powers': [174, 121, 79], 'representative': 226, 'size': 2}
-
id: 143014250
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 225, 'group_counter': 4031, 'group_order': 960, 'label': '60E23', 'order': 60, 'powers': [176, 123, 78], 'representative': 398, 'size': 2}
-
id: 143014251
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 226, 'group_counter': 4031, 'group_order': 960, 'label': '60E-23', 'order': 60, 'powers': [175, 124, 77], 'representative': 402, 'size': 2}
-
id: 143014252
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 227, 'group_counter': 4031, 'group_order': 960, 'label': '60E29', 'order': 60, 'powers': [174, 127, 79], 'representative': 202, 'size': 2}
-
id: 143014253
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 228, 'group_counter': 4031, 'group_order': 960, 'label': '60E-29', 'order': 60, 'powers': [173, 128, 80], 'representative': 214, 'size': 2}
-
id: 143014254
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 229, 'group_counter': 4031, 'group_order': 960, 'label': '60F1', 'order': 60, 'powers': [175, 129, 81], 'representative': 114, 'size': 2}
-
id: 143014256
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 230, 'group_counter': 4031, 'group_order': 960, 'label': '60F-1', 'order': 60, 'powers': [176, 130, 82], 'representative': 110, 'size': 2}
-
id: 143014257
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 231, 'group_counter': 4031, 'group_order': 960, 'label': '60F7', 'order': 60, 'powers': [173, 133, 84], 'representative': 694, 'size': 2}
-
id: 143014258
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 232, 'group_counter': 4031, 'group_order': 960, 'label': '60F-7', 'order': 60, 'powers': [174, 134, 83], 'representative': 322, 'size': 2}
-
id: 143014259
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 233, 'group_counter': 4031, 'group_order': 960, 'label': '60F11', 'order': 60, 'powers': [176, 136, 82], 'representative': 134, 'size': 2}
-
id: 143014260
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 234, 'group_counter': 4031, 'group_order': 960, 'label': '60F-11', 'order': 60, 'powers': [175, 135, 81], 'representative': 138, 'size': 2}
-
id: 143014261
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 235, 'group_counter': 4031, 'group_order': 960, 'label': '60F13', 'order': 60, 'powers': [173, 134, 81], 'representative': 306, 'size': 2}
-
id: 143014262
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 236, 'group_counter': 4031, 'group_order': 960, 'label': '60F-13', 'order': 60, 'powers': [174, 133, 82], 'representative': 302, 'size': 2}
-
id: 143014263
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 237, 'group_counter': 4031, 'group_order': 960, 'label': '60F17', 'order': 60, 'powers': [174, 132, 83], 'representative': 298, 'size': 2}
-
id: 143014264
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 238, 'group_counter': 4031, 'group_order': 960, 'label': '60F-17', 'order': 60, 'powers': [173, 131, 84], 'representative': 310, 'size': 2}
-
id: 143014265
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 239, 'group_counter': 4031, 'group_order': 960, 'label': '60F19', 'order': 60, 'powers': [175, 130, 84], 'representative': 142, 'size': 2}
-
id: 143014267
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 240, 'group_counter': 4031, 'group_order': 960, 'label': '60F-19', 'order': 60, 'powers': [176, 129, 83], 'representative': 130, 'size': 2}
-
id: 143014268
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 241, 'group_counter': 4031, 'group_order': 960, 'label': '60F23', 'order': 60, 'powers': [174, 131, 82], 'representative': 326, 'size': 2}
-
id: 143014269
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 242, 'group_counter': 4031, 'group_order': 960, 'label': '60F-23', 'order': 60, 'powers': [173, 132, 81], 'representative': 690, 'size': 2}
-
id: 143014270
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 243, 'group_counter': 4031, 'group_order': 960, 'label': '60F29', 'order': 60, 'powers': [176, 135, 83], 'representative': 106, 'size': 2}
-
id: 143014271
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 244, 'group_counter': 4031, 'group_order': 960, 'label': '60F-29', 'order': 60, 'powers': [175, 136, 84], 'representative': 118, 'size': 2}
-
id: 143014272
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 245, 'group_counter': 4031, 'group_order': 960, 'label': '60G1', 'order': 60, 'powers': [177, 137, 85], 'representative': 66, 'size': 2}
-
id: 143014273
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 246, 'group_counter': 4031, 'group_order': 960, 'label': '60G-1', 'order': 60, 'powers': [178, 138, 86], 'representative': 62, 'size': 2}
-
id: 143014274
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 247, 'group_counter': 4031, 'group_order': 960, 'label': '60G7', 'order': 60, 'powers': [179, 141, 88], 'representative': 358, 'size': 2}
-
id: 143014275
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 248, 'group_counter': 4031, 'group_order': 960, 'label': '60G-7', 'order': 60, 'powers': [180, 142, 87], 'representative': 658, 'size': 2}
-
id: 143014276
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 249, 'group_counter': 4031, 'group_order': 960, 'label': '60G11', 'order': 60, 'powers': [178, 144, 86], 'representative': 446, 'size': 2}
-
id: 143014278
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 250, 'group_counter': 4031, 'group_order': 960, 'label': '60G-11', 'order': 60, 'powers': [177, 143, 85], 'representative': 450, 'size': 2}
-
id: 143014279
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 251, 'group_counter': 4031, 'group_order': 960, 'label': '60G13', 'order': 60, 'powers': [179, 142, 85], 'representative': 642, 'size': 2}
-
id: 143014280
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 252, 'group_counter': 4031, 'group_order': 960, 'label': '60G-13', 'order': 60, 'powers': [180, 141, 86], 'representative': 638, 'size': 2}
-
id: 143014281
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 253, 'group_counter': 4031, 'group_order': 960, 'label': '60G17', 'order': 60, 'powers': [180, 140, 87], 'representative': 154, 'size': 2}
-
id: 143014282
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 254, 'group_counter': 4031, 'group_order': 960, 'label': '60G-17', 'order': 60, 'powers': [179, 139, 88], 'representative': 166, 'size': 2}
-
id: 143014283
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 255, 'group_counter': 4031, 'group_order': 960, 'label': '60G19', 'order': 60, 'powers': [177, 138, 88], 'representative': 94, 'size': 2}
-
id: 143014284
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 256, 'group_counter': 4031, 'group_order': 960, 'label': '60G-19', 'order': 60, 'powers': [178, 137, 87], 'representative': 82, 'size': 2}
-
id: 143014285
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 257, 'group_counter': 4031, 'group_order': 960, 'label': '60G23', 'order': 60, 'powers': [180, 139, 86], 'representative': 182, 'size': 2}
-
id: 143014286
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 258, 'group_counter': 4031, 'group_order': 960, 'label': '60G-23', 'order': 60, 'powers': [179, 140, 85], 'representative': 834, 'size': 2}
-
id: 143014287
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 259, 'group_counter': 4031, 'group_order': 960, 'label': '60G29', 'order': 60, 'powers': [178, 143, 87], 'representative': 466, 'size': 2}
-
id: 143014289
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 260, 'group_counter': 4031, 'group_order': 960, 'label': '60G-29', 'order': 60, 'powers': [177, 144, 88], 'representative': 550, 'size': 2}
-
id: 143014290
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 261, 'group_counter': 4031, 'group_order': 960, 'label': '60H1', 'order': 60, 'powers': [178, 145, 89], 'representative': 58, 'size': 2}
-
id: 143014291
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 262, 'group_counter': 4031, 'group_order': 960, 'label': '60H-1', 'order': 60, 'powers': [177, 146, 90], 'representative': 70, 'size': 2}
-
id: 143014292
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 263, 'group_counter': 4031, 'group_order': 960, 'label': '60H7', 'order': 60, 'powers': [180, 149, 92], 'representative': 662, 'size': 2}
-
id: 143014293
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 264, 'group_counter': 4031, 'group_order': 960, 'label': '60H-7', 'order': 60, 'powers': [179, 150, 91], 'representative': 354, 'size': 2}
-
id: 143014294
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 265, 'group_counter': 4031, 'group_order': 960, 'label': '60H11', 'order': 60, 'powers': [177, 152, 90], 'representative': 454, 'size': 2}
-
id: 143014295
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 266, 'group_counter': 4031, 'group_order': 960, 'label': '60H-11', 'order': 60, 'powers': [178, 151, 89], 'representative': 442, 'size': 2}
-
id: 143014296
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 267, 'group_counter': 4031, 'group_order': 960, 'label': '60H13', 'order': 60, 'powers': [180, 150, 89], 'representative': 634, 'size': 2}
-
id: 143014297
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 268, 'group_counter': 4031, 'group_order': 960, 'label': '60H-13', 'order': 60, 'powers': [179, 149, 90], 'representative': 646, 'size': 2}
-
id: 143014298
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 269, 'group_counter': 4031, 'group_order': 960, 'label': '60H17', 'order': 60, 'powers': [179, 148, 91], 'representative': 162, 'size': 2}
-
id: 143014300
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 270, 'group_counter': 4031, 'group_order': 960, 'label': '60H-17', 'order': 60, 'powers': [180, 147, 92], 'representative': 158, 'size': 2}
-
id: 143014301
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 271, 'group_counter': 4031, 'group_order': 960, 'label': '60H19', 'order': 60, 'powers': [178, 146, 92], 'representative': 86, 'size': 2}
-
id: 143014302
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 272, 'group_counter': 4031, 'group_order': 960, 'label': '60H-19', 'order': 60, 'powers': [177, 145, 91], 'representative': 90, 'size': 2}
-
id: 143014303
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 273, 'group_counter': 4031, 'group_order': 960, 'label': '60H23', 'order': 60, 'powers': [179, 147, 90], 'representative': 838, 'size': 2}
-
id: 143014304
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 274, 'group_counter': 4031, 'group_order': 960, 'label': '60H-23', 'order': 60, 'powers': [180, 148, 89], 'representative': 178, 'size': 2}
-
id: 143014305
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 275, 'group_counter': 4031, 'group_order': 960, 'label': '60H29', 'order': 60, 'powers': [177, 151, 91], 'representative': 546, 'size': 2}
-
id: 143014306
{'aut_label': '60E1', 'centralizer': '2.c1', 'counter': 276, 'group_counter': 4031, 'group_order': 960, 'label': '60H-29', 'order': 60, 'powers': [178, 152, 92], 'representative': 470, 'size': 2}
-
gps_qchar • Show schema
Hide schema
-
id: 13615921
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.1a', '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], 'schur_index': 1}
-
id: 13615932
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id: 13615943
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id: 13615954
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.1d', '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], 'schur_index': 1}
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id: 13615965
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.1e', '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], 'schur_index': 1}
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id: 13615976
{'cdim': 1, 'counter': 6, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.1f', '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], 'schur_index': 1}
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id: 13615987
{'cdim': 1, 'counter': 7, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.1g', '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], 'schur_index': 1}
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id: 13615995
{'cdim': 1, 'counter': 8, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.1h', '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], 'schur_index': 1}
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id: 13615996
{'cdim': 1, 'counter': 9, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.1i', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 13615922
{'cdim': 1, 'counter': 10, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.1j', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, -2, -2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, 0, -2, 0, 0, 2, -2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, -2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, -2, 0, -2, -2, 2, 0, 0, 2, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, -2, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, -2, 2, -2, 0, 2, -2, 2, 2, 0, 0, 0, 2, 0, 2, 0, -2, 2, 2, 0], 'schur_index': 1}
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id: 13615923
{'cdim': 1, 'counter': 11, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.1k', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, -2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 0, 0, -2, 0, 0, 0, 2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 0, 2, 0, 0, -2, 2, 0, 0, 0, 0, -2, 0, 0, 2, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, -2, 0, 2, -2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, -2, 2, 0, 2, 2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, -2, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, -2, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, 2, -2, 2, 0, -2, 2, -2, -2, 0, 0, 0, -2, 0, -2, 0, 2, -2, -2, 0], 'schur_index': 1}
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id: 13615924
{'cdim': 1, 'counter': 12, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.1l', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, -2, 2, -2, -2, 2, -2, -2, 2, 2, 2, 0, 0, -2, 0, 0, 0, 2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 2, -2, 2, -2, -2, -2, 2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 0, 2, 0, 0, -2, 2, 0, 0, 0, 0, -2, 0, 0, 2, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, -2, 0, 2, -2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, -2, 2, 0, 2, 2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, -2, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, -2, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, 2, -2, 2, 0, -2, 2, -2, -2, 0, 0, 0, -2, 0, -2, 0, 2, -2, -2, 0], 'schur_index': 1}
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id: 13615925
{'cdim': 1, 'counter': 13, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.1m', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, -2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 0, 0, 2, 0, 0, 0, -2, -2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, 0, -2, 0, 0, 2, -2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, -2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, -2, 0, -2, -2, 2, 0, 0, 2, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, -2, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, -2, 2, -2, 0, 2, -2, 2, 2, 0, 0, 0, 2, 0, 2, 0, -2, 2, 2, 0], 'schur_index': 1}
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id: 13615926
{'cdim': 1, 'counter': 14, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.1n', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -1, -1, -2, -2, 2, -2, -2, -2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, 2, -2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 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: 13615927
{'cdim': 1, 'counter': 15, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.1o', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 13615928
{'cdim': 1, 'counter': 16, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.1p', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, -1, -1, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 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: 13615929
{'cdim': 1, 'counter': 17, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.1q', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, -1, -1, 2, 2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, 2, 2, -2, -2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -2, 2, -2, -2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, -2, 2, -2, 2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -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: 13615930
{'cdim': 1, 'counter': 18, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.1r', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -1, -1, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 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}
-
id: 13615931
{'cdim': 1, 'counter': 19, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.1s', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -1, -1, 2, 2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -2, 2, -2, -2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, -2, 2, -2, 2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -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}
-
id: 13615933
{'cdim': 1, 'counter': 20, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.1t', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -2, -2, 2, -2, -2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -2, -2, 2, -2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 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}
-
id: 13615938
{'cdim': 2, 'counter': 25, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, -2, 2, 2, 2, -2, 0, 0, 0, 0, 2, 2, 0, 0, -2, 0, 0, 0, 2, -2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, -2, 2, -2, -2, -2, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, -2, 0, 0, 2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, -2, -2, 0, -2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, -2, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, -2, 2, -2, 0, 2, -2, 2, -2, 0, 0, 0, -2, 0, -2, 0, -2, 2, -2, 0], 'schur_index': 1}
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id: 13615939
{'cdim': 2, 'counter': 26, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, -2, 2, 2, 2, -2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, -2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, -2, 2, -2, -2, 2, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 2, 0, 0, -2, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, -2, 0, -2, -2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, -2, -2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 2, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 0, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 2, -2, 2, 0, -2, 2, -2, 2, 0, 0, 0, 2, 0, 2, 0, 2, -2, 2, 0], 'schur_index': 1}
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id: 13615940
{'cdim': 2, 'counter': 27, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2c', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, -2, -2, 2, 0, 0, 0, 0, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 2, 0, 2, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, -2, 2, 0, 2, 0, 0, 0, 0, 0, -2, 0, -2, 2, 0, 0, 0, 2, 0, 0, 0, 2, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 2, -2, 0, -2, 0, 0, 0, 0, 0, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, -2, 2, -2, -2, -2, 0, -2, 2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, -2, 0, 0, -2, -2, 0, 0, -2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, -2, 2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, -2, 0, 0, 0, 0], 'schur_index': 1}
-
id: 13615941
{'cdim': 2, 'counter': 28, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2d', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, -2, -2, 2, 0, 0, 0, 0, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 2, 0, -2, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, -2, 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, -2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, -2, 0, -2, 2, 0, 2, 0, 0, 0, 0, 0, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 2, 2, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 2, 0, 0, 2, 2, 0, 0, 2, 0, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, -2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 2, 0, 0, 0, 0], 'schur_index': 1}
-
id: 13615942
{'cdim': 2, 'counter': 29, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2e', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 2, 2, 0, 0, -2, 0, 0, 0, -2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, -2, 2, -2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 0, -2, 0, 0, 2, 2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, -2, 2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, -2, 2, 0, 2, -2, 2, 0, 0, 2, 0, 0, 0, 0, 0, -2, 2, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, -2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, -2, 0, 0, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, 2, 2, 2, 0, 2, 2, 2, -2, 0, 0, 0, -2, 0, -2, 0, 2, 2, -2, 0], 'schur_index': 1}
-
id: 13615944
{'cdim': 2, 'counter': 30, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2f', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 2, -2, 2, -2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 0, 2, 0, 0, -2, -2, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, -2, 0, 2, -2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, -2, 0, -2, 2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 2, -2, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 2, 0, 0, 0, 0, -2, 0, 0, -2, 0, -2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, -2, -2, -2, 0, -2, -2, -2, 2, 0, 0, 0, 2, 0, 2, 0, -2, -2, 2, 0], 'schur_index': 1}
-
id: 13615945
{'cdim': 2, 'counter': 31, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2g', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, -2, -2, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, -2, -2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, -2, 2, -2, 2, 2, 2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 0, 0, 0, 2, -2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 2, -2, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, -2, 2, 2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 0, 0, 0, -2, 0, 0, 0, 0, -2, -2, 0, 0, 0, 2, 2, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, -2, -2, 2, 2, 0, -2, 2, 0, 0, 2, -2, 0, 2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 2, 0, -2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2], 'schur_index': 1}
-
id: 13615946
{'cdim': 2, 'counter': 32, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2h', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, -2, -2, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, -2, 2, -2, 2, 2, 2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, -2, 2, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, -2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, -2, -2, 2, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, -2, -2, 0, 2, 2, -2, -2, 0, 2, -2, 0, 0, -2, 2, 0, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, -2, 0, 2, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2], 'schur_index': 1}
-
id: 13615934
{'cdim': 1, 'counter': 21, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.1u', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, 4, 4, -4, 4, -4, -4, -4, -4, 4, 4, -2, -2, 0, 0, 4, 0, 0, 0, -4, -4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 2, 2, -2, -2, 2, -2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -4, 4, 4, 4, -4, -4, -4, -4, 4, 4, 4, -4, -4, -4, -2, 0, 2, 0, 0, -2, 2, 0, 0, 0, 0, -2, 0, 0, 2, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 4, 0, -4, 4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, -4, 0, -4, -4, 4, 0, 0, 4, 0, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, 2, 2, -2, 2, 2, 2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, -2, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, 2, -2, 2, 0, -2, 2, -2, -2, 0, 0, 0, -2, 0, -2, 0, 2, -2, -2, 0], 'schur_index': 1}
-
id: 13615935
{'cdim': 1, 'counter': 22, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.1v', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, 4, 4, -4, 4, -4, -4, -4, 4, 4, -4, -2, -2, 0, 0, -4, 0, 0, 0, 4, 4, 0, 0, 0, -4, 0, 0, 0, 0, 4, 4, 2, 2, -2, -2, 2, -2, 2, 2, -2, -2, 2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, -4, 4, 4, 4, -4, -4, -4, -4, 4, 4, 4, -4, -4, -4, 2, 0, -2, 0, 0, 2, -2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, -4, 0, 4, -4, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, -4, 4, 0, 4, 4, -4, 0, 0, -4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, 2, 2, -2, 2, 2, 2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, -2, 2, -2, 0, 2, -2, 2, 2, 0, 0, 0, 2, 0, 2, 0, -2, 2, 2, 0], 'schur_index': 1}
-
id: 13615936
{'cdim': 1, 'counter': 23, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.1w', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, 4, 4, -4, 4, -4, -4, 4, -4, -4, 4, -2, -2, 0, 0, -4, 0, 0, 0, 4, 4, 0, 0, 0, -4, 0, 0, 0, 0, 4, 4, 2, 2, -2, -2, 2, -2, 2, 2, -2, -2, 2, -2, 2, 2, 2, -2, -2, 2, 2, 2, -2, -2, -4, 4, 4, 4, -4, -4, -4, -4, 4, 4, 4, -4, -4, -4, 2, 0, -2, 0, 0, 2, -2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, -4, 0, 4, -4, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, -4, 4, 0, 4, 4, -4, 0, 0, -4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, 2, 2, -2, 2, 2, 2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, -2, 2, -2, 0, 2, -2, 2, 2, 0, 0, 0, 2, 0, 2, 0, -2, 2, 2, 0], 'schur_index': 1}
-
id: 13615937
{'cdim': 1, 'counter': 24, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.1x', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, 4, 4, -4, 4, -4, -4, 4, 4, -4, -4, -2, -2, 0, 0, 4, 0, 0, 0, -4, -4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 2, 2, -2, -2, 2, -2, 2, 2, -2, -2, 2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -4, 4, 4, 4, -4, -4, -4, -4, 4, 4, 4, -4, -4, -4, -2, 0, 2, 0, 0, -2, 2, 0, 0, 0, 0, -2, 0, 0, 2, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 4, 0, -4, 4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, -4, 0, -4, -4, 4, 0, 0, 4, 0, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, 2, 2, -2, 2, 2, 2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, -2, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, 2, -2, 2, 0, -2, 2, -2, -2, 0, 0, 0, -2, 0, -2, 0, 2, -2, -2, 0], 'schur_index': 1}
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id: 13615947
{'cdim': 2, 'counter': 33, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2i', 'multiplicity': 2, 'nt': [5, 2], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 13615948
{'cdim': 2, 'counter': 34, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2j', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, 4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, -4, -4, 4, 4, 4, -4, -4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, -4, -4, -4, 4, -4, 4, 4, -4, -4, 4, 4, -4, -4, 4, -4, -4, -4, -4, -4, 4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13615949
{'cdim': 2, 'counter': 35, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2k', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, 4, -4, 4, -4, -4, 4, -4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -4, 4, -4, -4, 4, -4, 4, -4, -4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, 4, -4, -4, 4, 4, -4, -4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, -4, 4, 4, -4, -4, -4, -4, 4, -4, 4, 4, -4, 4, 4, -4, -4, -4, 4, -4, 4, -4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13615950
{'cdim': 2, 'counter': 36, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2l', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, -4, -4, -4, 4, 4, 4, -4, -4, -4, 4, -4, -4, 0, 0, 0, 0, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -4, -4, -4, 4, 4, -4, -4, -4, -4, 4, 4, -4, -4, -4, -4, -4, -4, 4, 4, -4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 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: 13615951
{'cdim': 2, 'counter': 37, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2m', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, -4, -4, 4, -4, -4, -4, 4, 4, -4, -4, -4, 4, 0, 0, 0, 0, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -4, 4, -4, -4, 4, 4, -4, -4, -4, -4, 4, -4, -4, 4, -4, 4, -4, -4, 4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 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: 13615952
{'cdim': 2, 'counter': 38, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2n', 'multiplicity': 2, 'nt': [10, 3], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, 4, -4, 4, -4, 0, 0, 0, 0, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -4, 4, -4, -4, -4, -4, -4, 4, 4, -4, -4, -4, 4, 4, -4, 4, -4, -4, -4, -4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -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: 13615953
{'cdim': 2, 'counter': 39, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2o', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, -4, -4, -4, 4, 4, 4, -4, 0, 0, 0, 0, -2, -2, 0, 0, -4, 0, 0, 0, 4, -4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, -2, 2, 2, -2, -2, 2, -2, 2, 2, -2, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 4, -4, 4, 4, 4, 4, -4, 4, -4, -4, 2, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 2, 0, 0, -2, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 4, 0, 4, 4, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, -4, -4, 0, -4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, -4, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, 2, -2, 2, -2, 2, -2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 0, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 2, -2, 2, 0, -2, 2, -2, 2, 0, 0, 0, 2, 0, 2, 0, 2, -2, 2, 0], 'schur_index': 1}
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id: 13615955
{'cdim': 2, 'counter': 40, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2p', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, -4, -4, -4, 4, 4, 4, -4, 0, 0, 0, 0, -2, -2, 0, 0, 4, 0, 0, 0, -4, 4, 0, 0, 0, -4, 0, 0, 0, 0, 4, 4, -2, 2, 2, -2, -2, 2, -2, 2, 2, -2, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 4, -4, 4, 4, 4, 4, -4, 4, -4, -4, -2, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, -2, 0, 0, 2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, -4, 0, -4, -4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, 4, 0, 4, -4, -4, 0, 0, -4, 0, 0, 0, 0, 0, -4, 4, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, 2, -2, 2, -2, 2, -2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, -2, 2, -2, 0, 2, -2, 2, -2, 0, 0, 0, -2, 0, -2, 0, -2, 2, -2, 0], 'schur_index': 1}
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id: 13615956
{'cdim': 2, 'counter': 41, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2q', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, -4, 4, 0, 0, 0, 0, -2, -2, -4, 4, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 4, 4, 2, -2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, 4, 4, -4, -4, -4, -4, -4, 4, -4, 4, 0, -2, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 4, 0, 0, 0, 0, -4, 4, 0, 4, 0, 0, 0, 0, 0, -4, 0, -4, 4, 0, 0, 0, 4, 0, 0, 0, 4, -4, 0, -4, 0, -4, 0, 0, 0, 0, 0, 4, 0, 4, -4, 0, -4, 0, 0, 0, 0, 0, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, -2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 2, 0, 0, 2, 2, 0, 0, 2, 0, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, -2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13615957
{'cdim': 2, 'counter': 42, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2r', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, -4, 4, 0, 0, 0, 0, -2, -2, 4, -4, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 4, 4, 2, -2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, 4, 4, -4, -4, -4, -4, -4, 4, -4, 4, 0, 2, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, -4, 0, 0, 0, 0, 4, -4, 0, -4, 0, 0, 0, 0, 0, 4, 0, 4, -4, 0, 0, 0, -4, 0, 0, 0, -4, 4, 0, 4, 0, 4, 0, 0, 0, 0, 0, -4, 0, -4, 4, 0, 4, 0, 0, 0, 0, 0, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, -2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 0, -2, 2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, -2, 0, 0, -2, -2, 0, 0, -2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, -2, 2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, -2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13615958
{'cdim': 2, 'counter': 43, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2s', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, 4, -4, 4, 0, 0, 0, 0, -2, -2, 0, 0, -4, 0, 0, 0, -4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 2, -2, 2, -2, 2, 2, 2, -2, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, -4, -4, 4, -4, -4, 4, 4, -4, -4, 4, 4, 2, 0, 2, 0, 0, -2, -2, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 4, 0, -4, 4, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, -4, 4, 0, 4, -4, 4, 0, 0, 4, 0, 0, 0, 0, 0, -4, 4, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, 2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 2, 0, 0, 0, 0, -2, 0, 0, -2, 0, -2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, -2, -2, -2, 0, -2, -2, -2, 2, 0, 0, 0, 2, 0, 2, 0, -2, -2, 2, 0], 'schur_index': 1}
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id: 13615959
{'cdim': 2, 'counter': 44, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2t', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, 4, -4, 4, 0, 0, 0, 0, -2, -2, 0, 0, 4, 0, 0, 0, 4, -4, 0, 0, 0, -4, 0, 0, 0, 0, 4, 4, 2, -2, 2, -2, 2, 2, 2, -2, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, -4, -4, 4, -4, -4, 4, 4, -4, -4, 4, 4, -2, 0, -2, 0, 0, 2, 2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, -4, 0, 4, -4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, -4, 0, -4, 4, -4, 0, 0, -4, 0, 0, 0, 0, 0, 4, -4, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, 2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, -2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, -2, 0, 0, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, 2, 2, 2, 0, 2, 2, 2, -2, 0, 0, 0, -2, 0, -2, 0, 2, 2, -2, 0], 'schur_index': 1}
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id: 13615960
{'cdim': 2, 'counter': 45, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2u', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, 4, 4, -4, 4, -4, -4, -4, 0, 0, 0, 0, -2, -2, 0, 0, 0, -4, -4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 4, 2, 2, 2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, 4, -4, -4, -4, -4, -4, 4, 4, 4, -4, 0, 0, 0, -2, 2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 4, -4, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, -4, 4, 4, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, -2, -2, 2, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, -2, -2, 0, 2, 2, -2, -2, 0, 2, -2, 0, 0, -2, 2, 0, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, -2, 0, 2, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2], 'schur_index': 1}
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id: 13615961
{'cdim': 2, 'counter': 46, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2v', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, 4, 4, -4, 4, -4, -4, -4, 0, 0, 0, 0, -2, -2, 0, 0, 0, 4, 4, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 4, 2, 2, 2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, 4, -4, -4, -4, -4, -4, 4, 4, 4, -4, 0, 0, 0, 2, -2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, -4, 4, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, -4, 4, -4, -4, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 0, 0, 0, -2, 0, 0, 0, 0, -2, -2, 0, 0, 0, 2, 2, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, -2, -2, 2, 2, 0, -2, 2, 0, 0, 2, -2, 0, 2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 2, 0, -2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2], 'schur_index': 1}
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id: 13615962
{'cdim': 2, 'counter': 47, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2w', 'multiplicity': 4, 'nt': [15, 3], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, -4, -4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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}
-
id: 13615963
{'cdim': 2, 'counter': 48, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2x', 'multiplicity': 4, 'nt': [20, 6], 'qdim': 8, 'qvalues': [8, -8, 8, 8, -8, 8, -8, -8, 0, 0, 0, 0, 8, 8, 0, 0, -8, 0, 0, 0, 8, 8, 0, 0, 0, -8, 0, 0, 0, 0, -2, -2, -8, -8, 8, 8, -8, 8, -8, -8, 8, 8, -8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 2, -8, 0, 8, 0, 0, -8, 8, 0, 0, 0, 0, -8, 0, 0, 8, 0, -8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 2, 0, -2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, -2, 0, -2, -2, 2, 0, 0, 2, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, 2, 2, -2, 2, 2, 2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, -2, 2, -2, 0, 2, -2, 2, 2, 0, 0, 0, 2, 0, 2, 0, -2, 2, 2, 0], 'schur_index': 1}
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id: 13615964
{'cdim': 2, 'counter': 49, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2y', 'multiplicity': 4, 'nt': [20, 6], 'qdim': 8, 'qvalues': [8, -8, 8, 8, -8, 8, -8, -8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, -8, -8, 0, 0, 0, 8, 0, 0, 0, 0, -2, -2, -8, -8, 8, 8, -8, 8, -8, -8, 8, 8, -8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 8, 0, -8, 0, 0, 8, -8, 0, 0, 0, 0, 8, 0, 0, -8, 0, 8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, -2, 0, 2, -2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, -2, 2, 0, 2, 2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, 2, 2, -2, 2, 2, 2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, -2, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, 2, -2, 2, 0, -2, 2, -2, -2, 0, 0, 0, -2, 0, -2, 0, 2, -2, -2, 0], 'schur_index': 1}
-
id: 13615966
{'cdim': 2, 'counter': 50, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2z', 'multiplicity': 4, 'nt': [20, 7], 'qdim': 8, 'qvalues': [8, 8, -8, -8, -8, 8, -8, 8, 0, 0, 0, 0, 8, 8, 0, 0, -8, 0, 0, 0, -8, 8, 0, 0, 0, 8, 0, 0, 0, 0, -2, -2, -8, 8, -8, 8, -8, -8, -8, 8, -8, 8, 8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -8, 0, -8, 0, 0, 8, 8, 0, 0, 0, 0, -8, 0, 0, -8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, -2, 0, 2, -2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, -2, 0, -2, 2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 2, -2, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, 2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 2, 0, 0, 0, 0, -2, 0, 0, -2, 0, -2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, -2, -2, -2, 0, -2, -2, -2, 2, 0, 0, 0, 2, 0, 2, 0, -2, -2, 2, 0], 'schur_index': 1}
-
id: 13615967
{'cdim': 2, 'counter': 51, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2aa', 'multiplicity': 4, 'nt': [20, 7], 'qdim': 8, 'qvalues': [8, 8, -8, -8, -8, 8, -8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 8, -8, 0, 0, 0, -8, 0, 0, 0, 0, -2, -2, -8, 8, -8, 8, -8, -8, -8, 8, -8, 8, 8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 8, 0, 8, 0, 0, -8, -8, 0, 0, 0, 0, 8, 0, 0, 8, 0, -8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 2, 0, -2, 2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, -2, 2, 0, 2, -2, 2, 0, 0, 2, 0, 0, 0, 0, 0, -2, 2, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, 2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, -2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, -2, 0, 0, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, 2, 2, 2, 0, 2, 2, 2, -2, 0, 0, 0, -2, 0, -2, 0, 2, 2, -2, 0], 'schur_index': 1}
-
id: 13615968
{'cdim': 2, 'counter': 52, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2ab', 'multiplicity': 4, 'nt': [20, 10], 'qdim': 8, 'qvalues': [8, -8, -8, -8, 8, 8, 8, -8, 0, 0, 0, 0, 8, 8, 0, 0, -8, 0, 0, 0, 8, -8, 0, 0, 0, 8, 0, 0, 0, 0, -2, -2, 8, -8, -8, 8, 8, -8, 8, -8, -8, 8, -8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, 2, -2, 2, 2, -8, 0, 8, 0, 0, 8, -8, 0, 0, 0, 0, -8, 0, 0, 8, 0, 8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, -2, 0, -2, -2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, -2, -2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 2, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, 2, -2, 2, -2, 2, -2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 0, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 2, -2, 2, 0, -2, 2, -2, 2, 0, 0, 0, 2, 0, 2, 0, 2, -2, 2, 0], 'schur_index': 1}
-
id: 13615969
{'cdim': 2, 'counter': 53, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2ac', 'multiplicity': 4, 'nt': [20, 10], 'qdim': 8, 'qvalues': [8, -8, -8, -8, 8, 8, 8, -8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, -8, 8, 0, 0, 0, -8, 0, 0, 0, 0, -2, -2, 8, -8, -8, 8, 8, -8, 8, -8, -8, 8, -8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, 2, -2, 2, 2, 8, 0, -8, 0, 0, -8, 8, 0, 0, 0, 0, 8, 0, 0, -8, 0, -8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 2, 0, 2, 2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, -2, -2, 0, -2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, -2, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, 2, -2, 2, -2, 2, -2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, -2, 2, -2, 0, 2, -2, 2, -2, 0, 0, 0, -2, 0, -2, 0, -2, 2, -2, 0], 'schur_index': 1}
-
id: 13615970
{'cdim': 2, 'counter': 54, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2ad', 'multiplicity': 4, 'nt': [20, 10], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 8, -8, -8, 8, 0, 0, 0, 0, 8, 8, -8, 8, 0, 0, 0, 0, 0, 0, -8, 0, 8, 0, 0, 0, 0, 0, -2, -2, -8, 8, 8, -8, 8, 8, 8, -8, -8, -8, -8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, -2, 0, 8, 0, 0, 0, 0, 0, -8, 8, 0, 0, 0, -8, 8, 0, -8, 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, -2, 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, -2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, -2, 0, -2, 2, 0, 2, 0, 0, 0, 0, 0, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, -2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 2, 0, 0, 2, 2, 0, 0, 2, 0, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, -2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13615971
{'cdim': 2, 'counter': 55, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2ae', 'multiplicity': 4, 'nt': [20, 10], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 8, -8, -8, 8, 0, 0, 0, 0, 8, 8, 8, -8, 0, 0, 0, 0, 0, 0, 8, 0, -8, 0, 0, 0, 0, 0, -2, -2, -8, 8, 8, -8, 8, 8, 8, -8, -8, -8, -8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, -2, 0, -8, 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, 8, -8, 0, 8, 0, 0, 0, 0, 0, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 2, 0, 0, 0, 0, -2, 2, 0, 2, 0, 0, 0, 0, 0, -2, 0, -2, 2, 0, 0, 0, 2, 0, 0, 0, 2, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 2, -2, 0, -2, 0, 0, 0, 0, 0, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, -2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 0, -2, 2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, -2, 0, 0, -2, -2, 0, 0, -2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, -2, 2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, -2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13615972
{'cdim': 2, 'counter': 56, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2af', 'multiplicity': 4, 'nt': [20, 10], 'qdim': 8, 'qvalues': [8, 8, 8, -8, 8, -8, -8, -8, 0, 0, 0, 0, 8, 8, 0, 0, 0, -8, -8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, -2, -2, -8, -8, -8, -8, 8, -8, 8, 8, 8, -8, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 0, 0, 0, 8, -8, 0, 0, 0, 0, -8, 8, 0, 0, 0, 0, 0, 0, 8, -8, 0, 8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, -2, 2, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, -2, 2, -2, -2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, -2, -2, 2, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, -2, -2, 0, 2, 2, -2, -2, 0, 2, -2, 0, 0, -2, 2, 0, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, -2, 0, 2, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2], 'schur_index': 1}
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id: 13615973
{'cdim': 2, 'counter': 57, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2ag', 'multiplicity': 4, 'nt': [20, 10], 'qdim': 8, 'qvalues': [8, 8, 8, -8, 8, -8, -8, -8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, -8, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, -2, -2, -8, -8, -8, -8, 8, -8, 8, 8, 8, -8, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 0, 0, 0, -8, 8, 0, 0, 0, 0, 8, -8, 0, 0, 0, 0, 0, 0, -8, 8, 0, -8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 2, -2, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 0, 0, 0, -2, 0, 0, 0, 0, -2, -2, 0, 0, 0, 2, 2, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, -2, -2, 2, 2, 0, -2, 2, 0, 0, 2, -2, 0, 2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 2, 0, -2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2], 'schur_index': 1}
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id: 13615974
{'cdim': 2, 'counter': 58, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2ah', 'multiplicity': 4, 'nt': [24, 17], 'qdim': 8, 'qvalues': [8, -8, 8, -8, -8, -8, 8, 8, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, -4, -4, 4, 4, 4, 4, 4, 4, -4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -8, 8, -8, -8, -8, 8, 8, 8, -8, -8, 8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, 4, 4, 4, -4, 4, -4, -4, 4, 4, -4, -4, 4, 4, -4, 4, 4, 4, 4, 4, -4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13615975
{'cdim': 2, 'counter': 59, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2ai', 'multiplicity': 4, 'nt': [24, 17], 'qdim': 8, 'qvalues': [8, 8, -8, 8, -8, -8, 8, -8, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, -4, 4, -4, 4, 4, -4, 4, -4, 4, 4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 8, -8, 8, 8, -8, -8, 8, 8, -8, -8, -8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, 4, -4, -4, 4, 4, 4, 4, -4, 4, -4, -4, 4, -4, -4, 4, 4, 4, -4, 4, -4, 4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13615977
{'cdim': 2, 'counter': 60, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2aj', 'multiplicity': 4, 'nt': [30, 5], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, -4, -4, -8, -8, -8, 8, 8, 8, -8, -8, -8, 8, -8, -8, 0, 0, 0, 0, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, 4, -4, -4, 4, 4, 4, 4, -4, -4, 4, 4, 4, 4, 4, 4, -4, -4, 4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -2, 2, 2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -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: 13615978
{'cdim': 2, 'counter': 61, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2ak', 'multiplicity': 4, 'nt': [30, 5], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, -4, -4, -8, -8, 8, -8, -8, -8, 8, 8, -8, -8, -8, 8, 0, 0, 0, 0, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -4, 4, -4, 4, 4, -4, -4, 4, 4, 4, 4, -4, 4, 4, -4, 4, -4, 4, 4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, -2, 2, -2, -2, 2, 2, -2, 2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -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: 13615979
{'cdim': 2, 'counter': 62, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2al', 'multiplicity': 4, 'nt': [30, 5], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, -4, -4, 8, 8, -8, -8, -8, -8, -8, -8, 8, -8, 8, -8, 0, 0, 0, 0, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, -4, 4, 4, 4, 4, 4, -4, -4, 4, 4, 4, -4, -4, 4, -4, 4, 4, 4, 4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, -2, 2, 2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 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: 13615980
{'cdim': 2, 'counter': 63, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2am', 'multiplicity': 8, 'nt': [40, 23], 'qdim': 16, 'qvalues': [16, -16, 16, -16, -16, -16, 16, 16, 0, 0, 0, 0, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 16, 16, -16, -16, -16, -16, -16, -16, 16, -16, -16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, 4, 4, -4, -4, -4, 4, 4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, 4, 4, 4, -4, 4, -4, -4, 4, 4, -4, -4, 4, 4, -4, 4, 4, 4, 4, 4, -4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13615981
{'cdim': 2, 'counter': 64, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2an', 'multiplicity': 8, 'nt': [40, 23], 'qdim': 16, 'qvalues': [16, 16, -16, 16, -16, -16, 16, -16, 0, 0, 0, 0, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 16, -16, 16, -16, -16, 16, -16, 16, -16, -16, 16, -16, -16, 16, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, -4, 4, 4, -4, -4, 4, 4, 4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, 4, -4, -4, 4, 4, 4, 4, -4, 4, -4, -4, 4, -4, -4, 4, 4, 4, -4, 4, -4, 4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13615982
{'cdim': 2, 'counter': 65, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2ao', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, -16, -16, 16, 16, 16, -16, 0, 0, 0, 0, -8, -8, 0, 0, -16, 0, 0, 0, 16, -16, 0, 0, 0, 16, 0, 0, 0, 0, -4, -4, -8, 8, 8, -8, -8, 8, -8, 8, 8, -8, 8, 8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -4, 4, -4, -4, -4, -4, 4, -4, 4, 4, 8, 0, -8, 0, 0, -8, 8, 0, 0, 0, 0, 8, 0, 0, -8, 0, -8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, -4, 0, -4, -4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, 4, 0, 4, -4, -4, 0, 0, -4, 0, 0, 0, 0, 0, -4, 4, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, -2, 2, -2, 0, 2, -2, 2, -2, 0, 0, 0, -2, 0, -2, 0, -2, 2, -2, 0], 'schur_index': 1}
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id: 13615983
{'cdim': 2, 'counter': 66, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2ap', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, -16, -16, 16, 16, 16, -16, 0, 0, 0, 0, -8, -8, 0, 0, 16, 0, 0, 0, -16, 16, 0, 0, 0, -16, 0, 0, 0, 0, -4, -4, -8, 8, 8, -8, -8, 8, -8, 8, 8, -8, 8, 8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -4, 4, -4, -4, -4, -4, 4, -4, 4, 4, -8, 0, 8, 0, 0, 8, -8, 0, 0, 0, 0, -8, 0, 0, 8, 0, 8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 4, 0, 4, 4, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, -4, -4, 0, -4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, -4, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 0, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 2, -2, 2, 0, -2, 2, -2, 2, 0, 0, 0, 2, 0, 2, 0, 2, -2, 2, 0], 'schur_index': 1}
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id: 13615984
{'cdim': 2, 'counter': 67, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2aq', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, -16, 16, 16, -16, -16, 16, 0, 0, 0, 0, -8, -8, -16, 16, 0, 0, 0, 0, 0, 0, -16, 0, 16, 0, 0, 0, 0, 0, -4, -4, 8, -8, -8, 8, -8, -8, -8, 8, 8, 8, 8, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, -4, -4, 4, 4, 4, 4, 4, -4, 4, -4, 0, -8, 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, 8, -8, 0, 8, 0, 0, 0, 0, 0, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, -4, 0, 0, 0, 0, 4, -4, 0, -4, 0, 0, 0, 0, 0, 4, 0, 4, -4, 0, 0, 0, -4, 0, 0, 0, -4, 4, 0, 4, 0, 4, 0, 0, 0, 0, 0, -4, 0, -4, 4, 0, 4, 0, 0, 0, 0, 0, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, -2, 2, -2, -2, -2, 0, -2, 2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, -2, 0, 0, -2, -2, 0, 0, -2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, -2, 2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, -2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13615985
{'cdim': 2, 'counter': 68, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2ar', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, -16, 16, 16, -16, -16, 16, 0, 0, 0, 0, -8, -8, 16, -16, 0, 0, 0, 0, 0, 0, 16, 0, -16, 0, 0, 0, 0, 0, -4, -4, 8, -8, -8, 8, -8, -8, -8, 8, 8, 8, 8, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, -4, -4, 4, 4, 4, 4, 4, -4, 4, -4, 0, 8, 0, 0, 0, 0, 0, -8, 8, 0, 0, 0, -8, 8, 0, -8, 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 4, 0, 0, 0, 0, -4, 4, 0, 4, 0, 0, 0, 0, 0, -4, 0, -4, 4, 0, 0, 0, 4, 0, 0, 0, 4, -4, 0, -4, 0, -4, 0, 0, 0, 0, 0, 4, 0, 4, -4, 0, -4, 0, 0, 0, 0, 0, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 2, 2, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 2, 0, 0, 2, 2, 0, 0, 2, 0, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, -2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 2, 0, 0, 0, 0], 'schur_index': 1}
-
id: 13615986
{'cdim': 2, 'counter': 69, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2as', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, 16, 16, -16, 16, -16, -16, 0, 0, 0, 0, -8, -8, 0, 0, -16, 0, 0, 0, 16, 16, 0, 0, 0, -16, 0, 0, 0, 0, -4, -4, 8, 8, -8, -8, 8, -8, 8, 8, -8, -8, 8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, -4, 4, 4, 4, 4, -4, -4, -4, 4, 4, 4, 8, 0, -8, 0, 0, 8, -8, 0, 0, 0, 0, 8, 0, 0, -8, 0, 8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 4, 0, -4, 4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, -4, 0, -4, -4, 4, 0, 0, 4, 0, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, -2, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, -2, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, 2, -2, 2, 0, -2, 2, -2, -2, 0, 0, 0, -2, 0, -2, 0, 2, -2, -2, 0], 'schur_index': 1}
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id: 13615988
{'cdim': 2, 'counter': 70, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2at', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, 16, 16, -16, 16, -16, -16, 0, 0, 0, 0, -8, -8, 0, 0, 16, 0, 0, 0, -16, -16, 0, 0, 0, 16, 0, 0, 0, 0, -4, -4, 8, 8, -8, -8, 8, -8, 8, 8, -8, -8, 8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, -4, 4, 4, 4, 4, -4, -4, -4, 4, 4, 4, -8, 0, 8, 0, 0, -8, 8, 0, 0, 0, 0, -8, 0, 0, 8, 0, -8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, -4, 0, 4, -4, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, -4, 4, 0, 4, 4, -4, 0, 0, -4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, -2, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, -2, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, -2, 2, -2, 0, 2, -2, 2, 2, 0, 0, 0, 2, 0, 2, 0, -2, 2, 2, 0], 'schur_index': 1}
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id: 13615989
{'cdim': 2, 'counter': 71, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2au', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, 16, -16, -16, -16, 16, -16, 16, 0, 0, 0, 0, -8, -8, 0, 0, -16, 0, 0, 0, -16, 16, 0, 0, 0, 16, 0, 0, 0, 0, -4, -4, 8, -8, 8, -8, 8, 8, 8, -8, 8, -8, -8, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, 4, 4, -4, 4, 4, -4, -4, 4, 4, -4, -4, 8, 0, 8, 0, 0, -8, -8, 0, 0, 0, 0, 8, 0, 0, 8, 0, -8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, -4, 0, 4, -4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, -4, 0, -4, 4, -4, 0, 0, -4, 0, 0, 0, 0, 0, 4, -4, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, -2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, -2, 0, 0, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, 2, 2, 2, 0, 2, 2, 2, -2, 0, 0, 0, -2, 0, -2, 0, 2, 2, -2, 0], 'schur_index': 1}
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id: 13615990
{'cdim': 2, 'counter': 72, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2av', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, 16, -16, -16, -16, 16, -16, 16, 0, 0, 0, 0, -8, -8, 0, 0, 16, 0, 0, 0, 16, -16, 0, 0, 0, -16, 0, 0, 0, 0, -4, -4, 8, -8, 8, -8, 8, 8, 8, -8, 8, -8, -8, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, 4, 4, -4, 4, 4, -4, -4, 4, 4, -4, -4, -8, 0, -8, 0, 0, 8, 8, 0, 0, 0, 0, -8, 0, 0, -8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 4, 0, -4, 4, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, -4, 4, 0, 4, -4, 4, 0, 0, 4, 0, 0, 0, 0, 0, -4, 4, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 2, 0, 0, 0, 0, -2, 0, 0, -2, 0, -2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, -2, -2, -2, 0, -2, -2, -2, 2, 0, 0, 0, 2, 0, 2, 0, -2, -2, 2, 0], 'schur_index': 1}
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id: 13615991
{'cdim': 2, 'counter': 73, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2aw', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, 16, 16, -16, 16, -16, -16, -16, 0, 0, 0, 0, -8, -8, 0, 0, 0, -16, -16, 16, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, -4, -4, 8, 8, 8, 8, -8, 8, -8, -8, -8, 8, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, -4, 4, 4, 4, 4, 4, -4, -4, -4, 4, 0, 0, 0, -8, 8, 0, 0, 0, 0, 8, -8, 0, 0, 0, 0, 0, 0, -8, 8, 0, -8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, -4, 4, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, -4, 4, -4, -4, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 0, 0, 0, -2, 0, 0, 0, 0, -2, -2, 0, 0, 0, 2, 2, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, -2, -2, 2, 2, 0, -2, 2, 0, 0, 2, -2, 0, 2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 2, 0, -2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2], 'schur_index': 1}
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id: 13615992
{'cdim': 2, 'counter': 74, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2ax', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, 16, 16, -16, 16, -16, -16, -16, 0, 0, 0, 0, -8, -8, 0, 0, 0, 16, 16, -16, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, -4, -4, 8, 8, 8, 8, -8, 8, -8, -8, -8, 8, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, -4, 4, 4, 4, 4, 4, -4, -4, -4, 4, 0, 0, 0, 8, -8, 0, 0, 0, 0, -8, 8, 0, 0, 0, 0, 0, 0, 8, -8, 0, 8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 4, -4, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, -4, 4, 4, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, -2, -2, 2, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, -2, -2, 0, 2, 2, -2, -2, 0, 2, -2, 0, 0, -2, 2, 0, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, -2, 0, 2, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2], 'schur_index': 1}
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id: 13615993
{'cdim': 2, 'counter': 75, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2ay', 'multiplicity': 16, 'nt': [120, 0], 'qdim': 32, 'qvalues': [32, -32, 32, -32, -32, -32, 32, 32, 0, 0, 0, 0, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -16, -16, 16, 16, 16, 16, 16, 16, -16, 16, 16, -16, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 8, -8, 8, 8, 8, -8, -8, -8, 8, 8, -8, 8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, -4, -4, -4, 4, -4, 4, 4, -4, -4, 4, 4, -4, -4, 4, -4, -4, -4, -4, -4, 4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13615994
{'cdim': 2, 'counter': 76, 'faithful': False, 'group': '960.4031', 'group_order': 960, 'image': None, 'label': '960.4031.2az', 'multiplicity': 16, 'nt': [120, 0], 'qdim': 32, 'qvalues': [32, 32, -32, 32, -32, -32, 32, -32, 0, 0, 0, 0, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -16, 16, -16, 16, 16, -16, 16, -16, 16, 16, -16, 16, 16, -16, 0, 0, 0, 0, 0, 0, 0, 0, -8, 8, -8, -8, 8, 8, -8, -8, 8, 8, 8, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, -4, 4, 4, -4, -4, -4, -4, 4, -4, 4, 4, -4, 4, 4, -4, -4, -4, 4, -4, 4, -4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 32193422
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id: 32193533
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id: 32193621
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id: 32193632
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id: 32193643
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id: 32193654
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id: 32193665
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id: 32193676
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id: 32193687
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id: 32193423
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id: 32193434
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id: 32193445
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id: 32193456
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id: 32193467
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id: 32193478
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id: 32193489
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id: 32193500
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id: 32193511
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id: 32193522
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id: 32193534
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id: 32193545
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id: 32193556
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id: 32193567
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id: 32193578
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id: 32193589
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id: 32193600
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id: 32193611
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id: 32193619
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id: 32193620
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id: 32193622
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id: 32193623
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id: 32193624
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id: 32193625
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id: 32193626
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id: 32193627
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id: 32193628
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id: 32193629
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id: 32193630
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id: 32193631
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id: 32193633
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id: 32193634
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id: 32193635
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id: 32193636
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id: 32193637
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id: 32193638
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id: 32193639
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id: 32193640
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id: 32193641
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id: 32193642
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id: 32193425
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id: 32193426
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id: 32193427
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id: 32193428
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id: 32193429
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id: 32193430
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id: 32193431
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id: 32193432
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id: 32193433
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id: 32193435
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id: 32193436
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id: 32193437
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id: 32193438
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id: 32193439
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id: 32193440
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id: 32193441
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id: 32193442
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id: 32193443
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id: 32193444
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id: 32193446
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id: 32193447
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id: 32193448
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id: 32193449
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id: 32193450
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id: 32193451
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id: 32193452
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id: 32193453
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id: 32193454
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id: 32193455
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id: 32193457
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id: 32193458
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id: 32193459
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id: 32193460
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id: 32193461
{'center': '4.c1', 'center_index': 4, 'center_order': 240, 'counter': 134, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '960.4031', 'group_counter': 4031, 'group_order': 960, 'image': None, 'image_isoclass': '48.47', 'image_order': 48, 'indicator': 0, 'kernel': '48.c1', 'kernel_order': 20, 'label': '960.4031.2ai2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 2]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[-2, 2]], [[2, 2]], [[-2, 4]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 1]], [[0, 0]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 4]], [[2, 4]], [[-2, 2]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 3]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 3]], [[0, 0]], [[-2, 3]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[-2, 3]], [[2, 3]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 4]], [[-2, 4]], [[2, 2]], [[2, 2]], [[2, 4]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 4]], [[2, 4]], [[-2, 4]], [[2, 2]], [[-2, 4]], [[-2, 2]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[2, 4]], [[2, 2]], [[2, 1]], [[-2, 1]], [[2, 5]], [[0, 0]], [[2, 5]], [[2, 1]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 5]], [[0, 0]], [[0, 0]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[0, 0]], [[0, 0]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 5]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 5]], [[0, 0]], [[-2, 5]], [[0, 0]], [[-2, 1]], [[0, 0]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5]], [[0, 0]], [[2, 5]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 32193462
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id: 32193463
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id: 32193464
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id: 32193465
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id: 32193466
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id: 32193468
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id: 32193469
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id: 32193470
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id: 32193471
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id: 32193472
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id: 32193473
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id: 32193474
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id: 32193475
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id: 32193476
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id: 32193477
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id: 32193479
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id: 32193480
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id: 32193481
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id: 32193482
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id: 32193483
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id: 32193484
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id: 32193485
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id: 32193486
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id: 32193487
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id: 32193488
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id: 32193490
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id: 32193491
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id: 32193492
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id: 32193493
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id: 32193494
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id: 32193495
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id: 32193496
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id: 32193497
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id: 32193498
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id: 32193499
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id: 32193501
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id: 32193502
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id: 32193503
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id: 32193504
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id: 32193505
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id: 32193506
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id: 32193507
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id: 32193508
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id: 32193509
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id: 32193510
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id: 32193512
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id: 32193513
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id: 32193514
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id: 32193515
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id: 32193516
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id: 32193517
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id: 32193518
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id: 32193519
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id: 32193520
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id: 32193521
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id: 32193523
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id: 32193524
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id: 32193525
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id: 32193526
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id: 32193527
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id: 32193528
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id: 32193529
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id: 32193530
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id: 32193531
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id: 32193532
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id: 32193535
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id: 32193536
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id: 32193537
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id: 32193538
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id: 32193539
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id: 32193540
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id: 32193541
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id: 32193542
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id: 32193543
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id: 32193544
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id: 32193546
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id: 32193547
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id: 32193548
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id: 32193549
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-
id: 32193550
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-
id: 32193551
{'center': '20.a1', 'center_index': 20, 'center_order': 48, 'counter': 215, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '960.4031', 'group_counter': 4031, 'group_order': 960, 'image': None, 'image_isoclass': '120.20', 'image_order': 120, 'indicator': 0, 'kernel': '120.e1', 'kernel_order': 8, 'label': '960.4031.2au3', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[-2, -5]], [[-2, -5]], [[2, -5]], [[-2, -5]], [[2, -5]], [[2, 5]], [[-2, 5]], [[2, -5]], [[-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], 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id: 32193552
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id: 32193553
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id: 32193554
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id: 32193555
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id: 32193557
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id: 32193558
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-
id: 32193559
{'center': '20.a1', 'center_index': 20, 'center_order': 48, 'counter': 222, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '960.4031', 'group_counter': 4031, 'group_order': 960, 'image': None, 'image_isoclass': '120.20', 'image_order': 120, 'indicator': 0, 'kernel': '120.e1', 'kernel_order': 8, 'label': '960.4031.2av2', 'nt': [60, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[-2, -5]], [[2, -5]], [[-2, -5]], [[2, -5]], [[-2, -5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[2, 5]], [[2, -5]], [[-2, -5]], [[2, 5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], 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-
id: 32193560
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id: 32193561
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id: 32193562
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id: 32193563
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id: 32193564
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id: 32193565
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-
id: 32193566
{'center': '20.b1', 'center_index': 20, 'center_order': 48, 'counter': 229, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [25, 0, 25, 0, 20, 0, 5, 0, 1], 'group': '960.4031', 'group_counter': 4031, 'group_order': 960, 'image': None, 'image_isoclass': '120.18', 'image_order': 120, 'indicator': 0, 'kernel': '120.a1', 'kernel_order': 8, 'label': '960.4031.2aw1', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-2, 20]], [[-2, 20]], [[-2, 20]], [[-2, 20]], [[2, 20]], [[2, 10]], [[-2, 10]], [[-2, 10]], [[-2, 10]], [[2, 10]], [[2, 20]], [[2, 20]], [[2, 10]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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id: 32193568
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id: 32193569
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id: 32193570
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id: 32193571
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id: 32193572
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id: 32193573
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id: 32193574
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id: 32193575
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id: 32193576
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id: 32193577
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id: 32193579
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id: 32193580
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id: 32193581
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id: 32193582
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id: 32193583
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id: 32193584
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id: 32193594
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id: 32193595
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id: 32193596
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id: 32193597
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id: 32193598
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id: 32193599
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id: 32193601
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-
id: 32193585
{'center': '20.b1', 'center_index': 20, 'center_order': 48, 'counter': 246, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '960.4031', 'group_counter': 4031, 'group_order': 960, 'image': None, 'image_isoclass': '240.158', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1', 'kernel_order': 4, 'label': '960.4031.2ay2', 'nt': [120, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 20]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 15]], [[-2, 15]], [[-2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-2, 10]], [[-2, 10]], [[2, 10]], [[2, 10]], [[2, 10]], [[-2, 20]], [[-2, 20]], [[-2, 20]], [[2, 20]], [[-2, 20]], [[2, 10]], [[-2, 10]], [[2, 20]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], 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id: 32193586
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id: 32193587
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id: 32193588
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id: 32193590
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id: 32193591
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-
id: 32193592
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id: 32193593
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id: 32193602
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-
id: 32193612
{'center': '20.b1', 'center_index': 20, 'center_order': 48, 'counter': 270, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '960.4031', 'group_counter': 4031, 'group_order': 960, 'image': None, 'image_isoclass': '240.158', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1', 'kernel_order': 4, 'label': '960.4031.2az10', 'nt': [120, 16], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 20]], [[-2, 10]], [[-2, 15]], [[2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 15]], [[0, 0]], [[-2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-2, 10]], [[2, 10]], [[-2, 10]], [[2, 10]], [[2, 10]], [[2, 20]], [[-2, 20]], [[2, 20]], [[-2, 20]], [[-2, 20]], [[-2, 10]], [[2, 10]], [[-2, 20]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], 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id: 32193613
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id: 32193614
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-
id: 32193615
{'center': '20.b1', 'center_index': 20, 'center_order': 48, 'counter': 273, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '960.4031', 'group_counter': 4031, 'group_order': 960, 'image': None, 'image_isoclass': '240.158', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1', 'kernel_order': 4, 'label': '960.4031.2az13', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 20]], [[2, 15]], [[-2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 15]], [[0, 0]], [[2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[2, 20]], [[-2, 20]], [[2, 20]], [[-2, 20]], [[-2, 20]], [[-2, 10]], [[2, 10]], [[-2, 10]], [[2, 10]], [[2, 10]], [[2, 20]], [[-2, 20]], [[2, 10]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], 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id: 32193616
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id: 32193617
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-
id: 32193618
{'center': '20.b1', 'center_index': 20, 'center_order': 48, 'counter': 276, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '960.4031', 'group_counter': 4031, 'group_order': 960, 'image': None, 'image_isoclass': '240.158', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1', 'kernel_order': 4, 'label': '960.4031.2az16', 'nt': [120, 16], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 20]], [[-2, 10]], [[-2, 15]], [[2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 15]], [[0, 0]], [[-2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[-2, 10]], [[2, 10]], [[-2, 10]], [[2, 10]], [[2, 10]], [[2, 20]], [[-2, 20]], [[2, 20]], [[-2, 20]], [[-2, 20]], [[-2, 10]], [[2, 10]], [[-2, 20]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], 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id: 32193603
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id: 32193604
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-
id: 32193605
{'center': '20.b1', 'center_index': 20, 'center_order': 48, 'counter': 264, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '960.4031', 'group_counter': 4031, 'group_order': 960, 'image': None, 'image_isoclass': '240.158', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1', 'kernel_order': 4, 'label': '960.4031.2az4', 'nt': [120, 16], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 20]], [[-2, 10]], [[2, 15]], [[-2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 15]], [[0, 0]], [[2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-2, 10]], [[2, 10]], [[-2, 10]], [[2, 10]], [[2, 10]], [[2, 20]], [[-2, 20]], [[2, 20]], [[-2, 20]], [[-2, 20]], [[-2, 10]], [[2, 10]], [[-2, 20]], [[2, 20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], 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id: 32193606
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id: 32193607
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-
id: 32193608
{'center': '20.b1', 'center_index': 20, 'center_order': 48, 'counter': 267, 'cyclotomic_n': 60, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '960.4031', 'group_counter': 4031, 'group_order': 960, 'image': None, 'image_isoclass': '240.158', 'image_order': 240, 'indicator': 0, 'kernel': '240.c1', 'kernel_order': 4, 'label': '960.4031.2az7', 'nt': [120, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[2, 20]], [[-2, 15]], [[2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 15]], [[0, 0]], [[-2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[2, 20]], [[-2, 20]], [[2, 20]], [[-2, 20]], [[-2, 20]], [[-2, 10]], [[2, 10]], [[-2, 10]], [[2, 10]], [[2, 10]], [[2, 20]], [[-2, 20]], [[2, 10]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], 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id: 32193609
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id: 32193610
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id: 32193644
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id: 32193645
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id: 32193646
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id: 32193647
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id: 32193648
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id: 32193649
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id: 32193650
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id: 32193651
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id: 32193652
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id: 32193653
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id: 32193655
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id: 32193656
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id: 32193657
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id: 32193658
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id: 32193659
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id: 32193660
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id: 32193661
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id: 32193662
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id: 32193663
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id: 32193664
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id: 32193666
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id: 32193667
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id: 32193668
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id: 32193669
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id: 32193670
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id: 32193671
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id: 32193672
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id: 32193673
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id: 32193674
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id: 32193675
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id: 32193677
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id: 32193678
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id: 32193679
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id: 32193680
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id: 32193681
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id: 32193682
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id: 32193683
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id: 32193684
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id: 32193685
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id: 32193686
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id: 32193688
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id: 32193689
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id: 32193690
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id: 32193691
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id: 32193692
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id: 32193693
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id: 32193694
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id: 32193695
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id: 32193696
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id: 32193697
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id: 32193424
{'center': '20.a1', 'center_index': 20, 'center_order': 48, 'counter': 100, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.4031', 'group_counter': 4031, 'group_order': 960, 'image': None, 'image_isoclass': '40.8', 'image_order': 40, 'indicator': 0, 'kernel': '40.e1', 'kernel_order': 24, 'label': '960.4031.2z4', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 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gps_subgroup_search • Show schema
Hide schema
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id: 113464872
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 960, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 30, 'label': '960.4031.1.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'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '960.4031', 'subgroup_hash': 4031, 'subgroup_order': 960, 'subgroup_tex': '(C_2\\times C_{12}):D_{20}', 'supersolvable': True, 'sylow': 0}
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id: 113464983
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 480, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.2.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': True, 'standard_generators': False, 'stem': False, 'subgroup': '480.720', 'subgroup_hash': 720, 'subgroup_order': 480, 'subgroup_tex': 'C_2\\times D_{10}:C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 113464995
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 480, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.2.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': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '480.1137', 'subgroup_hash': 1137, 'subgroup_order': 480, 'subgroup_tex': 'C_{60}:C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 113465006
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 480, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': ['F'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '480.919', 'subgroup_hash': 919, 'subgroup_order': 480, 'subgroup_tex': 'C_2\\times C_4\\times C_{60}', 'supersolvable': True, 'sylow': 0}
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id: 113465017
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 480, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.2.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': '480.718', 'subgroup_hash': 718, 'subgroup_order': 480, 'subgroup_tex': 'C_2\\times C_{20}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113465028
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': True, 'centralizer_order': 24, 'characteristic': True, 'core_order': 320, 'counter': 6, 'cyclic': False, 'direct': True, 'hall': 10, 'label': '960.4031.3.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '320.566', 'subgroup_hash': 566, 'subgroup_order': 320, 'subgroup_tex': '(C_2\\times C_4):D_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113465039
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 240, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.4.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': '240.205', 'subgroup_hash': 205, 'subgroup_order': 240, 'subgroup_tex': 'C_{15}:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 113465050
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 240, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.185', 'subgroup_hash': 185, 'subgroup_order': 240, 'subgroup_tex': 'C_2^2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113465061
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 240, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '240.185', 'subgroup_hash': 185, 'subgroup_order': 240, 'subgroup_tex': 'C_2^2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113464873
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 240, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.4.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': '240.163', 'subgroup_hash': 163, 'subgroup_order': 240, 'subgroup_tex': 'C_{30}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 113464884
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 240, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.4.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '240.157', 'subgroup_hash': 157, 'subgroup_order': 240, 'subgroup_tex': 'C_6\\times D_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113464895
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 120, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.4.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.43', 'subgroup_hash': 43, 'subgroup_order': 240, 'subgroup_tex': 'D_{10}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113464906
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 120, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.4.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.157', 'subgroup_hash': 157, 'subgroup_order': 240, 'subgroup_tex': 'C_6\\times D_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113464917
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 120, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.4.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.42', 'subgroup_hash': 42, 'subgroup_order': 240, 'subgroup_tex': 'C_{20}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113464928
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 120, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.4.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.157', 'subgroup_hash': 157, 'subgroup_order': 240, 'subgroup_tex': 'C_6\\times D_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113464939
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 120, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.4.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.81', 'subgroup_hash': 81, 'subgroup_order': 240, 'subgroup_tex': 'C_4\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113464950
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 96, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '960.4031.5.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5.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': 5, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.823', 'subgroup_hash': 823, 'subgroup_order': 192, 'subgroup_tex': '(C_2\\times C_{12}):D_4', 'supersolvable': True, 'sylow': 0}
-
id: 113464961
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 160, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.148', 'subgroup_hash': 148, 'subgroup_order': 160, 'subgroup_tex': 'C_2^2.D_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113464972
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 160, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.215', 'subgroup_hash': 215, 'subgroup_order': 160, 'subgroup_tex': 'C_2^2\\times D_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113464984
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 160, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.6.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.175', 'subgroup_hash': 175, 'subgroup_order': 160, 'subgroup_tex': 'C_2\\times C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113464986
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 160, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.6.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.146', 'subgroup_hash': 146, 'subgroup_order': 160, 'subgroup_tex': 'C_2^2.D_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113464987
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 120, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113464988
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 120, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1', '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': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.47', 'subgroup_hash': 47, 'subgroup_order': 120, 'subgroup_tex': 'C_2^2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113464989
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 120, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113464990
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 120, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.44', 'subgroup_hash': 44, 'subgroup_order': 120, 'subgroup_tex': 'C_6\\times D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113464991
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 120, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113464992
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 120, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.8.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113464993
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 60, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.8.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.44', 'subgroup_hash': 44, 'subgroup_order': 120, 'subgroup_tex': 'C_6\\times D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113464994
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 60, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.8.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.19', 'subgroup_hash': 19, 'subgroup_order': 120, 'subgroup_tex': 'C_{10}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113464996
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 60, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.8.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.44', 'subgroup_hash': 44, 'subgroup_order': 120, 'subgroup_tex': 'C_6\\times D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113464997
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 60, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.8.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.19', 'subgroup_hash': 19, 'subgroup_order': 120, 'subgroup_tex': 'C_{10}:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113464998
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 60, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.8.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.44', 'subgroup_hash': 44, 'subgroup_order': 120, 'subgroup_tex': 'C_6\\times D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113464999
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.8.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113465000
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 60, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.8.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.44', 'subgroup_hash': 44, 'subgroup_order': 120, 'subgroup_tex': 'C_6\\times D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113465001
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.8.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113465002
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 60, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.8.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.18', 'subgroup_hash': 18, 'subgroup_order': 120, 'subgroup_tex': 'C_3\\times D_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113465003
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 96, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.10.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.161', 'subgroup_hash': 161, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113465004
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 48, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.10.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.162', 'subgroup_hash': 162, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113465005
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 48, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.10.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 113465007
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 48, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.10.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.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': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.163', 'subgroup_hash': 163, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_4:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113465008
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 80, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.51', 'subgroup_hash': 51, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113465009
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 80, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.12.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113465010
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 80, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113465011
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 80, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.12.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.43', 'subgroup_hash': 43, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2.D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113465012
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 80, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.12.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.37', 'subgroup_hash': 37, 'subgroup_order': 80, 'subgroup_tex': 'C_2\\times D_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113465013
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 40, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.12.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.14', 'subgroup_hash': 14, 'subgroup_order': 80, 'subgroup_tex': 'D_{10}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113465014
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 40, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.12.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.37', 'subgroup_hash': 37, 'subgroup_order': 80, 'subgroup_tex': 'C_2\\times D_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113465015
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 40, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.12.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.13', 'subgroup_hash': 13, 'subgroup_order': 80, 'subgroup_tex': 'C_{20}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113465016
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 40, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.12.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.37', 'subgroup_hash': 37, 'subgroup_order': 80, 'subgroup_tex': 'C_2\\times D_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113465018
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 40, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.12.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.20', 'subgroup_hash': 20, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113465019
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 32, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '960.4031.15.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '15.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': 15, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.71', 'subgroup_hash': 71, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.C_2^3', 'supersolvable': True, 'sylow': 2}
-
id: 113465020
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113465021
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 60, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113465022
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 54, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113465023
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 60, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.16.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113465024
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 60, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.16.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113465025
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 57, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4031.16.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113465026
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 30, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.16.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.10', 'subgroup_hash': 10, 'subgroup_order': 60, 'subgroup_tex': 'C_3\\times D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113465027
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 30, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.16.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.2', 'subgroup_hash': 2, 'subgroup_order': 60, 'subgroup_tex': 'C_5:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113465029
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 30, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.16.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.10', 'subgroup_hash': 10, 'subgroup_order': 60, 'subgroup_tex': 'C_3\\times D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113465030
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 30, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.16.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.10', 'subgroup_hash': 10, 'subgroup_order': 60, 'subgroup_tex': 'C_3\\times D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113465031
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 30, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.16.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.10', 'subgroup_hash': 10, 'subgroup_order': 60, 'subgroup_tex': 'C_3\\times D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113465032
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 30, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.16.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.10', 'subgroup_hash': 10, 'subgroup_order': 60, 'subgroup_tex': 'C_3\\times D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113465033
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 30, 'counter': 64, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4031.16.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113465034
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 48, 'counter': 65, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.20.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113465035
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 48, 'counter': 66, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.20.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113465036
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.20.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113465037
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.20.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113465038
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.20.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113465040
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.20.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 113465041
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.20.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.22', 'subgroup_hash': 22, 'subgroup_order': 48, 'subgroup_tex': 'C_4:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113465042
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.20.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 113465043
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.20.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 113465044
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 24, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.20.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.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': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113465045
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 40, 'counter': 75, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 113465046
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 40, 'counter': 76, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113465047
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 40, 'counter': 77, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.24.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, '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: 113465048
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 40, 'counter': 78, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.24.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113465049
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 40, 'counter': 79, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.24.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113465051
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 40, 'counter': 80, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.24.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, '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: 113465052
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 20, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.24.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113465053
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 20, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.24.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.7', 'subgroup_hash': 7, 'subgroup_order': 40, 'subgroup_tex': 'C_{10}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113465054
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 20, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.24.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113465055
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 20, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.24.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.7', 'subgroup_hash': 7, 'subgroup_order': 40, 'subgroup_tex': 'C_{10}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113465056
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 20, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.24.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113465057
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.24.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113465058
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 20, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.24.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.13', 'subgroup_hash': 13, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113465059
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.24.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113465060
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 20, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.24.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.6', 'subgroup_hash': 6, 'subgroup_order': 40, 'subgroup_tex': 'D_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113465062
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 32, 'counter': 90, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.30.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '30.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '30.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113465063
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 16, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.30.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.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': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113465064
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 16, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.30.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.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': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 113465065
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 16, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.30.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.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': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.23', 'subgroup_hash': 23, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 113465066
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 30, 'counter': 94, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4031.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.34', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 34, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113465067
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 30, 'counter': 95, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4031.32.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 25, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113465068
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 30, 'counter': 96, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4031.32.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 31, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113465069
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 30, 'counter': 97, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4031.32.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.22', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 22, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113465070
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 30, 'counter': 98, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4031.32.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113465071
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 15, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.32.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.2', 'subgroup_hash': 2, 'subgroup_order': 30, 'subgroup_tex': 'C_3\\times D_5', 'supersolvable': True, 'sylow': 0}
-
id: 113464874
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 24, 'counter': 100, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.40.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': '40.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113464875
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 24, 'counter': 101, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.40.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113464876
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 24, 'counter': 102, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.40.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113464877
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 24, 'counter': 103, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.40.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113464878
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 24, 'counter': 104, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.40.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113464879
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.40.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113464880
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.40.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113464881
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.40.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113464882
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.40.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113464883
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.40.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113464885
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.40.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113464886
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.40.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113464887
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.40.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113464888
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.40.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113464889
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.40.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 113464890
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 115, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.48.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.45', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, '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: 113464891
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 20, 'counter': 116, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.48.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.45', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, '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: 113464892
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 117, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.48.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.47', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 47, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, '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: 113464893
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 20, 'counter': 118, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.48.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.44', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, '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: 113464894
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 20, 'counter': 119, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.48.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.45', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, '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: 113464896
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 120, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4031.48.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.21', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_{12}', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113464897
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 10, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.48.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113464898
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 10, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.48.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.1', 'subgroup_hash': 1, 'subgroup_order': 20, 'subgroup_tex': 'C_5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113464899
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 10, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.48.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113464900
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 10, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.48.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113464901
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 10, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.48.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113464902
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 10, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.48.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.4', 'subgroup_hash': 4, 'subgroup_order': 20, 'subgroup_tex': 'D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113464903
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 10, 'counter': 127, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4031.48.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113464904
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 16, 'counter': 128, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.60.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113464905
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 16, 'counter': 129, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.60.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113464907
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.60.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.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': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113464908
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.60.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.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': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 113464909
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.60.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.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': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113464910
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.60.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.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': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 113464911
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.60.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.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': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113464912
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.60.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.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': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 113464913
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.60.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.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': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 113464914
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 8, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.60.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.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': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113464915
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 15, 'counter': 138, 'cyclic': True, 'direct': False, 'hall': 15, 'label': '960.4031.64.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.71', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 71, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
-
id: 113464916
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 12, 'counter': 139, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.80.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': '80.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113464918
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 12, 'counter': 140, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.80.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
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id: 113464919
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 12, 'counter': 141, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.80.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{20}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113464920
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 12, 'counter': 142, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.80.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.36', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
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id: 113464921
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 12, 'counter': 143, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.80.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.44', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
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id: 113464922
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 144, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4031.80.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.14', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113464923
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.80.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113464924
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 146, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4031.80.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113464925
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.80.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113464926
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.80.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113464927
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.80.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113464929
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.80.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113464930
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 6, 'counter': 151, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4031.80.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.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': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113464931
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 10, 'counter': 152, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4031.96.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.174', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 174, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], '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: 113464932
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 10, 'counter': 153, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4031.96.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.165', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 165, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 113464933
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 10, 'counter': 154, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4031.96.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.171', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 171, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_6', 'simple': False, 'solvable': True, 'special_labels': [], '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: 113464934
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 10, 'counter': 155, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4031.96.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.162', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 162, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_{12}', 'simple': False, 'solvable': True, 'special_labels': ['C6'], '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: 113464935
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 10, 'counter': 156, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4031.96.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.168', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 168, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], '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: 113464936
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 5, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.96.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.1', 'subgroup_hash': 1, 'subgroup_order': 10, 'subgroup_tex': 'D_5', 'supersolvable': True, 'sylow': 0}
-
id: 113464937
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 8, 'counter': 158, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.120.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.18', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 18, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 113464938
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 8, 'counter': 159, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.120.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.44', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 113464940
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 8, 'counter': 160, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.120.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.18', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 18, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113464941
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 8, 'counter': 161, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.120.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.17', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113464942
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 8, 'counter': 162, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.120.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.20', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113464943
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.120.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 113464944
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.120.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 120, 'quotient_simple': 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: 113464945
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.120.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 113464946
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.120.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 120, 'quotient_simple': 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: 113464947
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.120.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 113464948
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.120.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 120, 'quotient_simple': 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: 113464949
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.120.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 113464951
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.120.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 113464952
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.120.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 120, 'quotient_simple': 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: 113464953
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.120.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.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': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 113464954
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 6, 'counter': 173, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4031.160.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.95', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 95, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113464955
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 6, 'counter': 174, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4031.160.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.94', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 94, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113464956
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 6, 'counter': 175, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4031.160.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.96', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 96, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113464957
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 6, 'counter': 176, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4031.160.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.148', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 148, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113464958
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 6, 'counter': 177, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4031.160.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.151', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 151, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
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id: 113464959
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 3, 'counter': 178, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4031.160.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.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': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
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id: 113464960
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 5, 'counter': 179, 'cyclic': True, 'direct': False, 'hall': 5, 'label': '960.4031.192.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '192.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.823', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 823, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_{12}):D_4', 'simple': True, 'solvable': True, 'special_labels': ['L2', 'C7'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
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id: 113464962
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 4, 'counter': 180, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.240.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.157', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 157, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times D_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 113464963
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 4, 'counter': 181, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.240.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.157', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 157, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times D_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 113464964
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 4, 'counter': 182, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.240.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.158', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 158, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{20}:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 113464965
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 4, 'counter': 183, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.240.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.156', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 156, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 113464966
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 4, 'counter': 184, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4031.240.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.164', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 164, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{30}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 113464967
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 185, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4031.240.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.43', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}:C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 113464968
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.240.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.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': 240, 'quotient_simple': 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}
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id: 113464969
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 187, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4031.240.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.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': 240, 'quotient_simple': 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: 113464970
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.240.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.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': 240, 'quotient_simple': 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}
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id: 113464971
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.240.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.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': 240, 'quotient_simple': 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}
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id: 113464973
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.240.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.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': 240, 'quotient_simple': 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}
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id: 113464974
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4031.240.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.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': 240, 'quotient_simple': 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}
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id: 113464975
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 2, 'counter': 192, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4031.240.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.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': 240, 'quotient_simple': 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: 113464976
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 3, 'counter': 193, 'cyclic': True, 'direct': True, 'hall': 3, 'label': '960.4031.320.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '320.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '320.566', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 566, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 320, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4):D_{20}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
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id: 113464977
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 2, 'counter': 194, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4031.480.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '480.667', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 667, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:D_{20}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, '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: 113464978
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 2, 'counter': 195, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4031.480.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '480.666', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 666, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}\\times D_{20}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 113464979
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 2, 'counter': 196, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4031.480.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '480.668', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 668, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}.D_{20}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, '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: 113464980
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 2, 'counter': 197, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4031.480.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '480.720', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 720, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{10}:C_{12}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 113464981
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 2, 'counter': 198, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4031.480.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '480.723', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 723, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{60}:D_4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, '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: 113464982
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 199, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4031.480.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '480.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': 480, '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: 113464985
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4031', 'ambient_counter': 4031, 'ambient_order': 960, 'ambient_tex': '(C_2\\times C_{12}):D_{20}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 1, 'counter': 200, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '960.4031.960.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '960.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '960.4031', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4031, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 960, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_{12}):D_{20}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'D2', 'C8'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
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gps_subgroup_data • Show schema
Hide schema
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id: 113464872
{'ambient': '960.4031', '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': '40.b1', 'complements': ['960.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '2.d1', '3.a1', '5.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6201, 6324, 4872, 4631], 'generators': [1, 4, 480, 240, 24, 192, 2, 16], 'label': '960.4031.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '2.d1', '3.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '40.13', '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': '40.13'}
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id: 113464873
{'ambient': '960.4031', 'aut_centralizer_order': 64, 'aut_label': '4.d1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '640.21483', 'aut_weyl_index': 128, 'centralizer': '40.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '2.d1'], 'contains': ['8.b1', '8.h1', '8.j1', '12.d1', '20.e1'], 'core': '4.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [4258, 3697, 5311, 7080], 'generators': [27, 192, 480, 16, 24, 28], 'label': '960.4031.4.d1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1', 'normal_contained_in': ['2.a1', '2.d1'], 'normal_contains': ['8.b1', '12.d1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': '40.13', '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': '40.13'}
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id: 113464874
{'ambient': '960.4031', 'aut_centralizer_order': 2560, 'aut_label': '40.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '8.5', 'aut_weyl_index': 10240, 'centralizer': '2.c1', 'complements': ['24.o1'], 'conjugacy_class_count': 4, 'contained_in': ['8.a1', '20.b1', '20.c1'], 'contains': ['80.a1', '80.m1', '120.a1'], 'core': '40.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [100, 5242, 9171, 9216], 'generators': [2, 24, 16, 4], 'label': '960.4031.40.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.a1', 'normal_contained_in': ['8.a1', '20.b1'], 'normal_contains': ['80.a1', '120.a1'], 'normalizer': '1.a1', 'old_label': '40.a1', 'projective_image': '80.37', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 113464875
{'ambient': '960.4031', 'aut_centralizer_order': 20480, 'aut_label': '40.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 20480, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '20.a1', '20.b1', '20.d1', '20.e1'], 'contains': ['80.a1', '80.b1', '80.c1', '80.d1', '80.e1', '120.b1'], 'core': '40.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4749, 6674, 4691, 6461], 'generators': [4, 24, 480, 16], 'label': '960.4031.40.b1', 'mobius_quo': 8, 'mobius_sub': 40, 'normal_closure': '40.b1', 'normal_contained_in': ['8.b1', '20.a1', '20.b1'], 'normal_contains': ['80.a1', '80.b1', '80.c1', '80.d1', '80.e1', '120.b1'], 'normalizer': '1.a1', 'old_label': '40.b1', 'projective_image': '40.13', 'quotient_action_image': '1.1', 'quotient_action_kernel': '40.13', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '40.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 113464876
{'ambient': '960.4031', 'aut_centralizer_order': 5120, 'aut_label': '40.c1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 10240, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.c1', '20.a1', '20.f1', '20.g1'], 'contains': ['80.b1', '80.f1', '120.c1'], 'core': '40.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [9587, 8987, 1434, 241], 'generators': [28, 264, 16, 480], 'label': '960.4031.40.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.c1', 'normal_contained_in': ['8.c1', '20.a1'], 'normal_contains': ['80.b1', '80.f1', '120.c1'], 'normalizer': '1.a1', 'old_label': '40.c1', 'projective_image': '80.37', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 113464877
{'ambient': '960.4031', 'aut_centralizer_order': 2560, 'aut_label': '40.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.11', 'aut_weyl_index': 5120, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.e1', '20.a1', '20.h1'], 'contains': ['80.d1', '80.f1', '120.d1'], 'core': '40.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [9257, 8244, 669, 2165], 'generators': [24, 240, 16, 480], 'label': '960.4031.40.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.d1', 'normal_contained_in': ['8.e1', '20.a1'], 'normal_contains': ['80.d1', '80.f1', '120.d1'], 'normalizer': '1.a1', 'old_label': '40.d1', 'projective_image': '80.36', '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': '2.1'}
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id: 113464878
{'ambient': '960.4031', 'aut_centralizer_order': 2560, 'aut_label': '40.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.11', 'aut_weyl_index': 5120, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.f1', '20.a1', '20.i1', '20.j1'], 'contains': ['80.e1', '80.f1', '120.e1'], 'core': '40.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [8293, 9871, 1849, 1622], 'generators': [4, 240, 16, 480], 'label': '960.4031.40.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.e1', 'normal_contained_in': ['8.f1', '20.a1'], 'normal_contains': ['80.e1', '80.f1', '120.e1'], 'normalizer': '1.a1', 'old_label': '40.e1', 'projective_image': '80.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.5', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 113464879
{'ambient': '960.4031', 'aut_centralizer_order': 256, 'aut_label': '40.f1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '8.5', 'aut_weyl_index': 10240, 'centralizer': '20.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.g1', '20.c1', '20.d1'], 'contains': ['80.a1', '80.g1', '80.i1', '80.l1', '120.f1'], 'core': '80.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [2622, -1, 6849, -1], 'generators': [481, 484, 504, 16], 'label': '960.4031.40.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '40.f1', 'projective_image': '80.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 113464880
{'ambient': '960.4031', 'aut_centralizer_order': 256, 'aut_label': '40.g1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '8.5', 'aut_weyl_index': 10240, 'centralizer': '20.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.h1', '20.c1', '20.e1'], 'contains': ['80.a1', '80.h1', '120.g1'], 'core': '80.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [1353, -1, 7991, -1], 'generators': [27, 504, 16, 28], 'label': '960.4031.40.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '40.g1', 'projective_image': '80.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 113464881
{'ambient': '960.4031', 'aut_centralizer_order': 512, 'aut_label': '40.h1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '8.5', 'aut_weyl_index': 10240, 'centralizer': '20.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.i1', '20.d1', '20.f1'], 'contains': ['80.b1', '80.g1', '80.j1', '80.k1', '120.h1'], 'core': '80.b1', 'coset_action_label': None, 'count': 20, 'diagramx': [7810, -1, 3365, -1], 'generators': [25, 28, 480, 16], 'label': '960.4031.40.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '40.h1', 'projective_image': '80.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.h1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 113464882
{'ambient': '960.4031', 'aut_centralizer_order': 512, 'aut_label': '40.i1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '8.5', 'aut_weyl_index': 10240, 'centralizer': '20.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.j1', '20.e1', '20.g1'], 'contains': ['80.b1', '80.h1', '120.i1'], 'core': '80.b1', 'coset_action_label': None, 'count': 20, 'diagramx': [4266, -1, 5131, -1], 'generators': [27, 480, 16, 28], 'label': '960.4031.40.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '40.i1', 'projective_image': '80.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.i1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 113464883
{'ambient': '960.4031', 'aut_centralizer_order': 256, 'aut_label': '40.j1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '8.5', 'aut_weyl_index': 10240, 'centralizer': '20.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.k1', '20.d1'], 'contains': ['80.c1', '80.i1', '80.j1', '80.l1', '120.j1'], 'core': '80.c1', 'coset_action_label': None, 'count': 40, 'diagramx': [3573, -1, 6097, -1], 'generators': [1, 4, 504, 16], 'label': '960.4031.40.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '40.j1', 'projective_image': '80.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.j1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 113464884
{'ambient': '960.4031', 'aut_centralizer_order': 8, 'aut_label': '4.e1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '2560.dp', 'aut_weyl_index': 32, 'centralizer': '40.b1', 'complements': ['240.m1', '240.h1'], 'conjugacy_class_count': 4, 'contained_in': ['2.b1'], 'contains': ['8.d1', '8.e1', '8.o1', '12.e1', '20.h1'], 'core': '4.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [9200, 6552, 829, 2780], 'generators': [1, 192, 240, 16, 24, 480], 'label': '960.4031.4.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': ['2.b1'], 'normal_contains': ['8.d1', '8.e1', '12.e1'], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': '80.36', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.e1', 'subgroup_fusion': None, 'weyl_group': '40.13'}
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id: 113464885
{'ambient': '960.4031', 'aut_centralizer_order': 2560, 'aut_label': '40.k1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.5', 'aut_weyl_index': 10240, 'centralizer': '2.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.l1', '20.b1'], 'contains': ['80.c1', '80.m1', '120.k1'], 'core': '80.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [431, -1, 9700, -1], 'generators': [2, 504, 16, 4], 'label': '960.4031.40.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '40.k1', 'projective_image': '80.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.k1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 113464886
{'ambient': '960.4031', 'aut_centralizer_order': 256, 'aut_label': '40.l1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '16.11', 'aut_weyl_index': 5120, 'centralizer': '20.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.d1', '20.d1', '20.h1'], 'contains': ['80.d1', '80.i1', '80.k1', '120.l1'], 'core': '80.d1', 'coset_action_label': None, 'count': 20, 'diagramx': [7488, -1, 2754, -1], 'generators': [1, 24, 480, 16], 'label': '960.4031.40.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.l1', 'projective_image': '80.36', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.l1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 113464887
{'ambient': '960.4031', 'aut_centralizer_order': 256, 'aut_label': '40.m1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '16.11', 'aut_weyl_index': 5120, 'centralizer': '20.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.m1', '20.d1', '20.i1'], 'contains': ['80.e1', '80.k1', '80.l1', '120.m1'], 'core': '80.e1', 'coset_action_label': None, 'count': 20, 'diagramx': [5910, -1, 3768, -1], 'generators': [1, 4, 480, 16], 'label': '960.4031.40.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '40.m1', 'projective_image': '80.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.m1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464888
{'ambient': '960.4031', 'aut_centralizer_order': 2560, 'aut_label': '40.n1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.5', 'aut_weyl_index': 10240, 'centralizer': '2.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.n1', '20.b1', '20.j1'], 'contains': ['80.e1', '80.m1', '120.n1'], 'core': '80.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [1023, -1, 8555, -1], 'generators': [2, 480, 16, 4], 'label': '960.4031.40.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '40.n1', 'projective_image': '80.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.n1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464889
{'ambient': '960.4031', 'aut_centralizer_order': 64, 'aut_label': '40.o1', 'aut_quo_index': None, 'aut_stab_index': 80, 'aut_weyl_group': '16.11', 'aut_weyl_index': 5120, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.o1', '20.f1', '20.h1', '20.i1'], 'contains': ['80.f1', '80.k1', '120.o1'], 'core': '80.f1', 'coset_action_label': None, 'count': 80, 'diagramx': [9900, -1, 76, -1], 'generators': [1, 240, 16, 480], 'label': '960.4031.40.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '40.o1', 'projective_image': '160.148', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.o1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 113464890
{'ambient': '960.4031', 'aut_centralizer_order': 10240, 'aut_label': '48.a1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '4.1', 'aut_weyl_index': 20480, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.a1', '24.a1', '24.b1', '24.g1', '24.h1'], 'contains': ['96.a1', '96.b1', '96.e1', '240.a1'], 'core': '48.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2100, 2457, 7919, 9260], 'generators': [484, 192, 504], 'label': '960.4031.48.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': ['16.a1', '24.a1', '24.b1'], 'normal_contains': ['96.a1', '96.b1', '96.e1', '240.a1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': '240.157', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464891
{'ambient': '960.4031', 'aut_centralizer_order': 20480, 'aut_label': '48.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 20480, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '24.b1', '24.c1', '24.i1', '24.j1'], 'contains': ['96.a1', '96.c1', '96.d1', '240.b1'], 'core': '48.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6350, 3341, 4278, 3825], 'generators': [28, 192, 480], 'label': '960.4031.48.b1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': ['16.b1', '24.b1', '24.c1'], 'normal_contains': ['96.a1', '96.c1', '96.d1', '240.b1'], 'normalizer': '1.a1', 'old_label': '48.b1', 'projective_image': '240.157', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464892
{'ambient': '960.4031', 'aut_centralizer_order': 10240, 'aut_label': '48.c1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '4.1', 'aut_weyl_index': 20480, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.c1', '24.b1', '24.k1', '24.l1'], 'contains': ['96.b1', '96.c1', '96.e1', '240.c1'], 'core': '48.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [2712, 316, 7195, 7676], 'generators': [4, 192, 504], 'label': '960.4031.48.c1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '48.c1', 'normal_contained_in': ['16.c1', '24.b1'], 'normal_contains': ['96.b1', '96.c1', '96.e1', '240.c1'], 'normalizer': '1.a1', 'old_label': '48.c1', 'projective_image': '240.158', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464893
{'ambient': '960.4031', 'aut_centralizer_order': 10240, 'aut_label': '48.d1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 10240, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1', '24.b1', '24.d1', '24.e1'], 'contains': ['96.b1', '96.d1', '240.d1'], 'core': '48.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [6855, 4823, 3686, 5819], 'generators': [24, 192, 480], 'label': '960.4031.48.d1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '48.d1', 'normal_contained_in': ['16.d1', '24.b1', '24.d1', '24.e1'], 'normal_contains': ['96.b1', '96.d1', '240.d1'], 'normalizer': '1.a1', 'old_label': '48.d1', 'projective_image': '240.156', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464894
{'ambient': '960.4031', 'aut_centralizer_order': 10240, 'aut_label': '48.e1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 10240, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.e1', '24.b1', '24.f1', '24.m1', '24.n1'], 'contains': ['96.d1', '96.e1', '240.e1'], 'core': '48.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [5112, 4223, 4660, 5276], 'generators': [4, 192, 480], 'label': '960.4031.48.e1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '48.e1', 'normal_contained_in': ['16.e1', '24.b1', '24.f1'], 'normal_contains': ['96.d1', '96.e1', '240.e1'], 'normalizer': '1.a1', 'old_label': '48.e1', 'projective_image': '240.164', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.15', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464895
{'ambient': '960.4031', 'aut_centralizer_order': 8, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '640.21539', 'aut_weyl_index': 128, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['2.a1'], 'contains': ['8.a1', '8.g1', '8.h1', '12.f1', '20.c1'], 'core': '8.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [739, -1, 7808, -1], 'generators': [1, 192, 16, 4, 2, 24], 'label': '960.4031.4.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '4.f1', 'projective_image': '80.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113464896
{'ambient': '960.4031', 'aut_centralizer_order': 2560, 'aut_label': '48.f1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 10240, 'centralizer': '2.c1', 'complements': ['20.c1'], 'conjugacy_class_count': 4, 'contained_in': ['16.f1', '24.c1', '24.e1', '24.f1', '24.o1'], 'contains': ['96.d1', '240.f1'], 'core': '48.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [8695, 7663, 1435, 1755], 'generators': [240, 480, 192], 'label': '960.4031.48.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.f1', 'normal_contained_in': ['16.f1', '24.c1', '24.e1', '24.f1'], 'normal_contains': ['96.d1', '240.f1'], 'normalizer': '1.a1', 'old_label': '48.f1', 'projective_image': '480.720', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464897
{'ambient': '960.4031', 'aut_centralizer_order': 256, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '40.12', 'aut_weyl_index': 2048, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.g1', '24.g1', '24.i1'], 'contains': ['96.a1', '96.f1', '240.g1'], 'core': '96.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [3306, -1, 6023, -1], 'generators': [1, 192, 28], 'label': '960.4031.48.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '48.g1', 'projective_image': '480.667', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.g1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
-
id: 113464898
{'ambient': '960.4031', 'aut_centralizer_order': 256, 'aut_label': '48.h1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '40.12', 'aut_weyl_index': 2048, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.h1', '24.h1', '24.j1'], 'contains': ['96.a1', '240.h1'], 'core': '96.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [1687, -1, 7756, -1], 'generators': [27, 192, 28], 'label': '960.4031.48.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '48.h1', 'projective_image': '480.667', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
-
id: 113464899
{'ambient': '960.4031', 'aut_centralizer_order': 128, 'aut_label': '48.i1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '40.12', 'aut_weyl_index': 2048, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.i1', '24.d1', '24.g1', '24.k1'], 'contains': ['96.b1', '96.f1', '240.i1'], 'core': '96.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [4884, -1, 6243, -1], 'generators': [1, 192, 504], 'label': '960.4031.48.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '48.i1', 'projective_image': '480.666', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.i1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113464900
{'ambient': '960.4031', 'aut_centralizer_order': 256, 'aut_label': '48.j1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '40.12', 'aut_weyl_index': 2048, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.j1', '24.i1', '24.k1'], 'contains': ['96.c1', '96.f1', '240.j1'], 'core': '96.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [6176, -1, 5274, -1], 'generators': [1, 192, 508], 'label': '960.4031.48.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '48.j1', 'projective_image': '480.668', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.j1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
-
id: 113464901
{'ambient': '960.4031', 'aut_centralizer_order': 256, 'aut_label': '48.k1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '40.12', 'aut_weyl_index': 2048, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.k1', '24.d1', '24.i1', '24.m1', '24.o1'], 'contains': ['96.d1', '96.f1', '240.k1'], 'core': '96.d1', 'coset_action_label': None, 'count': 8, 'diagramx': [6682, -1, 3134, -1], 'generators': [1, 192, 480], 'label': '960.4031.48.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '48.k1', 'projective_image': '480.720', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.k1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113464902
{'ambient': '960.4031', 'aut_centralizer_order': 128, 'aut_label': '48.l1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '40.12', 'aut_weyl_index': 2048, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.l1', '24.g1', '24.k1', '24.m1'], 'contains': ['96.e1', '96.f1', '240.l1'], 'core': '96.e1', 'coset_action_label': None, 'count': 16, 'diagramx': [2327, -1, 6531, -1], 'generators': [1, 192, 4], 'label': '960.4031.48.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '48.l1', 'projective_image': '480.723', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.l1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
-
id: 113464903
{'ambient': '960.4031', 'aut_centralizer_order': 1280, 'aut_label': '48.m1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '8.2', 'aut_weyl_index': 10240, 'centralizer': '2.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.m1', '24.a1', '24.l1', '24.n1'], 'contains': ['96.e1', '240.m1'], 'core': '96.e1', 'coset_action_label': None, 'count': 8, 'diagramx': [692, -1, 9223, -1], 'generators': [2, 4, 192], 'label': '960.4031.48.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '48.m1', 'projective_image': '480.723', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.m1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464904
{'ambient': '960.4031', 'aut_centralizer_order': 5120, 'aut_label': '60.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 5120, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.b1', '20.a1', '30.a1', '30.c1', '30.d1'], 'contains': ['120.b1', '120.c1', '120.d1', '120.e1'], 'core': '60.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8582, 9583, 2261, 3240], 'generators': [4, 24, 240], 'label': '960.4031.60.a1', 'mobius_quo': 0, 'mobius_sub': 10, 'normal_closure': '60.a1', 'normal_contained_in': ['12.b1', '20.a1', '30.a1'], 'normal_contains': ['120.b1', '120.c1', '120.d1', '120.e1'], 'normalizer': '1.a1', 'old_label': '60.a1', 'projective_image': '120.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '30.4', 'quotient_action_kernel_order': 30, 'quotient_fusion': None, 'short_label': '60.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464905
{'ambient': '960.4031', 'aut_centralizer_order': 5120, 'aut_label': '60.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 10240, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['12.c1', '20.b1', '30.a1', '30.b1'], 'contains': ['120.a1', '120.b1', '120.k1', '120.n1'], 'core': '60.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1183, 6092, 8967, 8141], 'generators': [2, 24, 480], 'label': '960.4031.60.b1', 'mobius_quo': 0, 'mobius_sub': 10, 'normal_closure': '60.b1', 'normal_contained_in': ['12.c1', '20.b1', '30.a1'], 'normal_contains': ['120.a1', '120.b1'], 'normalizer': '1.a1', 'old_label': '60.b1', 'projective_image': '120.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '30.4', 'quotient_action_kernel_order': 30, 'quotient_fusion': None, 'short_label': '60.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464906
{'ambient': '960.4031', 'aut_centralizer_order': 16, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1280.1114138', 'aut_weyl_index': 64, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.b1'], 'contains': ['8.c1', '8.i1', '8.o1', '12.g1', '20.f1'], 'core': '8.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [8807, -1, 1389, -1], 'generators': [1, 192, 264, 16, 28, 480], 'label': '960.4031.4.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '4.g1', 'projective_image': '80.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113464907
{'ambient': '960.4031', 'aut_centralizer_order': 64, 'aut_label': '60.c1', 'aut_quo_index': None, 'aut_stab_index': 80, 'aut_weyl_group': '16.14', 'aut_weyl_index': 5120, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.f1', '20.c1', '30.b1'], 'contains': ['120.a1', '120.f1', '120.g1'], 'core': '120.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [126, -1, 8379, -1], 'generators': [1, 2], 'label': '960.4031.60.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '60.c1', 'projective_image': '240.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 113464908
{'ambient': '960.4031', 'aut_centralizer_order': 512, 'aut_label': '60.d1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '16.11', 'aut_weyl_index': 5120, 'centralizer': '20.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.a1', '20.d1', '30.b1', '30.c1'], 'contains': ['120.b1', '120.f1', '120.h1', '120.j1', '120.l1', '120.m1'], 'core': '120.b1', 'coset_action_label': None, 'count': 10, 'diagramx': [5102, -1, 4122, -1], 'generators': [1, 4, 24, 480], 'label': '960.4031.60.d1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '60.d1', 'projective_image': '120.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 113464909
{'ambient': '960.4031', 'aut_centralizer_order': 512, 'aut_label': '60.e1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '16.11', 'aut_weyl_index': 5120, 'centralizer': '20.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.d1', '20.e1', '30.b1', '30.d1'], 'contains': ['120.b1', '120.g1', '120.i1'], 'core': '120.b1', 'coset_action_label': None, 'count': 10, 'diagramx': [3777, -1, 5548, -1], 'generators': [27, 24, 480], 'label': '960.4031.60.e1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '60.e1', 'projective_image': '120.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.e1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 113464910
{'ambient': '960.4031', 'aut_centralizer_order': 128, 'aut_label': '60.f1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '32.27', 'aut_weyl_index': 2560, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.g1', '20.f1', '30.c1'], 'contains': ['120.c1', '120.h1', '120.o1'], 'core': '120.c1', 'coset_action_label': None, 'count': 20, 'diagramx': [9763, -1, 1068, -1], 'generators': [1, 28, 240], 'label': '960.4031.60.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '60.f1', 'projective_image': '240.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.f1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 113464911
{'ambient': '960.4031', 'aut_centralizer_order': 128, 'aut_label': '60.g1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '32.27', 'aut_weyl_index': 2560, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.h1', '20.g1', '30.d1'], 'contains': ['120.c1', '120.i1'], 'core': '120.c1', 'coset_action_label': None, 'count': 20, 'diagramx': [7167, -1, 2420, -1], 'generators': [27, 240], 'label': '960.4031.60.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '60.g1', 'projective_image': '240.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.g1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 113464912
{'ambient': '960.4031', 'aut_centralizer_order': 64, 'aut_label': '60.h1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '64.138', 'aut_weyl_index': 1280, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.e1', '20.h1', '30.c1'], 'contains': ['120.d1', '120.l1', '120.o1'], 'core': '120.d1', 'coset_action_label': None, 'count': 20, 'diagramx': [9048, -1, 364, -1], 'generators': [1, 24, 240], 'label': '960.4031.60.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '60.h1', 'projective_image': '240.156', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.h1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
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id: 113464913
{'ambient': '960.4031', 'aut_centralizer_order': 64, 'aut_label': '60.i1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '64.138', 'aut_weyl_index': 1280, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.i1', '20.i1', '30.c1'], 'contains': ['120.e1', '120.m1', '120.o1'], 'core': '120.e1', 'coset_action_label': None, 'count': 20, 'diagramx': [8380, -1, 1242, -1], 'generators': [1, 4, 240], 'label': '960.4031.60.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '60.i1', 'projective_image': '240.164', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.i1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 113464914
{'ambient': '960.4031', 'aut_centralizer_order': 640, 'aut_label': '60.j1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '32.27', 'aut_weyl_index': 2560, 'centralizer': '2.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.j1', '20.j1', '30.a1'], 'contains': ['120.e1', '120.n1'], 'core': '120.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [4099, -1, 7834, -1], 'generators': [2, 240], 'label': '960.4031.60.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '30.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '60.j1', 'projective_image': '240.164', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464915
{'ambient': '960.4031', 'aut_centralizer_order': 10240, 'aut_label': '64.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 10240, 'centralizer': '2.c1', 'complements': ['15.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '32.b1', '32.c1', '32.d1', '32.e1', '32.f1'], 'contains': ['192.a1', '320.a1'], 'core': '64.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4635, 1107, 6345, 6361], 'generators': [16, 192], 'label': '960.4031.64.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': ['32.a1', '32.b1', '32.c1', '32.d1', '32.e1'], 'normal_contains': ['192.a1', '320.a1'], 'normalizer': '1.a1', 'old_label': '64.a1', 'projective_image': '320.566', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.21', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464916
{'ambient': '960.4031', 'aut_centralizer_order': 20480, 'aut_label': '80.a1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 40960, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.a1', '40.a1', '40.b1', '40.f1', '40.g1'], 'contains': ['160.a1', '160.b1', '160.e1', '240.a1'], 'core': '80.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2496, 3473, 7611, 8760], 'generators': [484, 504, 16], 'label': '960.4031.80.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '80.a1', 'normal_contained_in': ['16.a1', '40.a1', '40.b1'], 'normal_contains': ['160.a1', '160.b1', '160.e1', '240.a1'], 'normalizer': '1.a1', 'old_label': '80.a1', 'projective_image': '80.37', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.37', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '80.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464917
{'ambient': '960.4031', 'aut_centralizer_order': 16, 'aut_label': '4.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1280.1114138', 'aut_weyl_index': 64, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.d1'], 'contains': ['8.c1', '8.j1', '12.h1', '20.g1'], 'core': '8.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [7244, -1, 3137, -1], 'generators': [27, 192, 16, 28, 240, 480], 'label': '960.4031.4.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '4.h1', 'projective_image': '80.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113464918
{'ambient': '960.4031', 'aut_centralizer_order': 40960, 'aut_label': '80.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 40960, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '40.b1', '40.c1', '40.h1', '40.i1'], 'contains': ['160.a1', '160.c1', '160.d1', '240.b1'], 'core': '80.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7467, 6674, 4087, 3326], 'generators': [28, 480, 16], 'label': '960.4031.80.b1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '80.b1', 'normal_contained_in': ['16.b1', '40.b1', '40.c1'], 'normal_contains': ['160.a1', '160.c1', '160.d1', '240.b1'], 'normalizer': '1.a1', 'old_label': '80.b1', 'projective_image': '80.37', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.37', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '80.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464919
{'ambient': '960.4031', 'aut_centralizer_order': 20480, 'aut_label': '80.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 40960, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.c1', '40.b1', '40.j1', '40.k1'], 'contains': ['160.b1', '160.c1', '160.e1', '240.c1'], 'core': '80.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [3552, 2274, 7004, 7176], 'generators': [4, 504, 16], 'label': '960.4031.80.c1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '80.c1', 'normal_contained_in': ['16.c1', '40.b1'], 'normal_contains': ['160.b1', '160.c1', '160.e1', '240.c1'], 'normalizer': '1.a1', 'old_label': '80.c1', 'projective_image': '80.38', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.38', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '80.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464920
{'ambient': '960.4031', 'aut_centralizer_order': 20480, 'aut_label': '80.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 20480, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1', '40.b1', '40.d1', '40.l1'], 'contains': ['160.b1', '160.d1', '240.d1'], 'core': '80.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [7280, 6174, 3495, 4777], 'generators': [24, 480, 16], 'label': '960.4031.80.d1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '80.d1', 'normal_contained_in': ['16.d1', '40.b1', '40.d1'], 'normal_contains': ['160.b1', '160.d1', '240.d1'], 'normalizer': '1.a1', 'old_label': '80.d1', 'projective_image': '80.36', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.36', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '80.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464921
{'ambient': '960.4031', 'aut_centralizer_order': 20480, 'aut_label': '80.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 20480, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.e1', '40.b1', '40.e1', '40.m1', '40.n1'], 'contains': ['160.d1', '160.e1', '240.e1'], 'core': '80.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [5618, 7453, 4469, 4325], 'generators': [4, 480, 16], 'label': '960.4031.80.e1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '80.e1', 'normal_contained_in': ['16.e1', '40.b1', '40.e1'], 'normal_contains': ['160.d1', '160.e1', '240.e1'], 'normalizer': '1.a1', 'old_label': '80.e1', 'projective_image': '80.44', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.44', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '80.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464922
{'ambient': '960.4031', 'aut_centralizer_order': 5120, 'aut_label': '80.f1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 20480, 'centralizer': '2.c1', 'complements': ['12.f1'], 'conjugacy_class_count': 4, 'contained_in': ['16.f1', '40.c1', '40.d1', '40.e1', '40.o1'], 'contains': ['160.d1', '240.f1'], 'core': '80.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [9359, 8538, 1323, 1010], 'generators': [240, 16, 480], 'label': '960.4031.80.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '80.f1', 'normal_contained_in': ['16.f1', '40.c1', '40.d1', '40.e1'], 'normal_contains': ['160.d1', '240.f1'], 'normalizer': '1.a1', 'old_label': '80.f1', 'projective_image': '160.148', 'quotient_action_image': '2.1', 'quotient_action_kernel': '40.9', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '80.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464923
{'ambient': '960.4031', 'aut_centralizer_order': 512, 'aut_label': '80.g1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '4.2', 'aut_weyl_index': 20480, 'centralizer': '20.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.g1', '40.f1', '40.h1'], 'contains': ['160.a1', '160.f1', '240.g1'], 'core': '160.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [3949, -1, 5706, -1], 'generators': [25, 28, 16], 'label': '960.4031.80.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.d1', 'old_label': '80.g1', 'projective_image': '160.95', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464924
{'ambient': '960.4031', 'aut_centralizer_order': 512, 'aut_label': '80.h1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '4.2', 'aut_weyl_index': 20480, 'centralizer': '20.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.h1', '40.g1', '40.i1'], 'contains': ['160.a1', '240.h1'], 'core': '160.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [1872, -1, 7468, -1], 'generators': [27, 16, 28], 'label': '960.4031.80.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.e1', 'old_label': '80.h1', 'projective_image': '160.95', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464925
{'ambient': '960.4031', 'aut_centralizer_order': 256, 'aut_label': '80.i1', 'aut_quo_index': None, 'aut_stab_index': 80, 'aut_weyl_group': '4.2', 'aut_weyl_index': 20480, 'centralizer': '20.d1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.i1', '40.f1', '40.j1', '40.l1'], 'contains': ['160.b1', '160.f1', '240.i1'], 'core': '160.b1', 'coset_action_label': None, 'count': 80, 'diagramx': [5805, -1, 5879, -1], 'generators': [1, 504, 16], 'label': '960.4031.80.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '80.i1', 'projective_image': '160.94', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.i1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464926
{'ambient': '960.4031', 'aut_centralizer_order': 512, 'aut_label': '80.j1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '4.2', 'aut_weyl_index': 20480, 'centralizer': '20.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.j1', '40.h1', '40.j1'], 'contains': ['160.c1', '160.f1', '240.j1'], 'core': '160.c1', 'coset_action_label': None, 'count': 40, 'diagramx': [6674, -1, 5130, -1], 'generators': [1, 508, 16], 'label': '960.4031.80.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.d1', 'old_label': '80.j1', 'projective_image': '160.96', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464927
{'ambient': '960.4031', 'aut_centralizer_order': 512, 'aut_label': '80.k1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '4.2', 'aut_weyl_index': 20480, 'centralizer': '20.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.k1', '40.h1', '40.l1', '40.m1', '40.o1'], 'contains': ['160.d1', '160.f1', '240.k1'], 'core': '160.d1', 'coset_action_label': None, 'count': 40, 'diagramx': [7811, -1, 2990, -1], 'generators': [1, 480, 16], 'label': '960.4031.80.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '80.k1', 'projective_image': '160.148', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.k1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464928
{'ambient': '960.4031', 'aut_centralizer_order': 8, 'aut_label': '4.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2560.dp', 'aut_weyl_index': 32, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.b1'], 'contains': ['8.f1', '8.m1', '8.o1', '12.i1', '20.i1'], 'core': '8.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [7799, -1, 1686, -1], 'generators': [1, 192, 240, 16, 4, 480], 'label': '960.4031.4.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '4.i1', 'projective_image': '80.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.i1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113464929
{'ambient': '960.4031', 'aut_centralizer_order': 256, 'aut_label': '80.l1', 'aut_quo_index': None, 'aut_stab_index': 80, 'aut_weyl_group': '4.2', 'aut_weyl_index': 20480, 'centralizer': '20.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.l1', '40.f1', '40.j1', '40.m1'], 'contains': ['160.e1', '160.f1', '240.l1'], 'core': '160.e1', 'coset_action_label': None, 'count': 80, 'diagramx': [2945, -1, 6387, -1], 'generators': [1, 4, 16], 'label': '960.4031.80.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.d1', 'old_label': '80.l1', 'projective_image': '160.151', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464930
{'ambient': '960.4031', 'aut_centralizer_order': 2560, 'aut_label': '80.m1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '4.2', 'aut_weyl_index': 20480, 'centralizer': '2.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.m1', '40.a1', '40.k1', '40.n1'], 'contains': ['160.e1', '240.m1'], 'core': '160.e1', 'coset_action_label': None, 'count': 8, 'diagramx': [539, -1, 9110, -1], 'generators': [2, 16, 4], 'label': '960.4031.80.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '80.m1', 'projective_image': '160.151', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.m1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464931
{'ambient': '960.4031', 'aut_centralizer_order': 20480, 'aut_label': '96.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 20480, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '48.a1', '48.b1', '48.g1', '48.h1'], 'contains': ['192.a1', '480.a1'], 'core': '96.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3216, 2825, 6640, 6894], 'generators': [28, 192], 'label': '960.4031.96.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.a1', 'normal_contained_in': ['32.a1', '48.a1', '48.b1'], 'normal_contains': ['192.a1', '480.a1'], 'normalizer': '1.a1', 'old_label': '96.a1', 'projective_image': '480.667', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.20', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464932
{'ambient': '960.4031', 'aut_centralizer_order': 10240, 'aut_label': '96.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.1', 'aut_weyl_index': 20480, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.b1', '48.a1', '48.c1', '48.d1', '48.i1'], 'contains': ['192.a1', '480.b1'], 'core': '96.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [3724, 593, 6753, 8231], 'generators': [504, 192], 'label': '960.4031.96.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.b1', 'normal_contained_in': ['32.b1', '48.a1', '48.c1', '48.d1'], 'normal_contains': ['192.a1', '480.b1'], 'normalizer': '1.a1', 'old_label': '96.b1', 'projective_image': '480.666', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.20', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464933
{'ambient': '960.4031', 'aut_centralizer_order': 20480, 'aut_label': '96.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 20480, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1', '48.b1', '48.c1', '48.j1'], 'contains': ['192.a1', '480.c1'], 'core': '96.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [6013, 129, 5481, 6068], 'generators': [508, 192], 'label': '960.4031.96.c1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.c1', 'normal_contained_in': ['32.c1', '48.b1', '48.c1'], 'normal_contains': ['192.a1', '480.c1'], 'normalizer': '1.a1', 'old_label': '96.c1', 'projective_image': '480.668', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.20', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464934
{'ambient': '960.4031', 'aut_centralizer_order': 20480, 'aut_label': '96.d1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 20480, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.d1', '48.b1', '48.d1', '48.e1', '48.f1', '48.k1'], 'contains': ['192.a1', '480.d1'], 'core': '96.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [6344, 4127, 3597, 4990], 'generators': [480, 192], 'label': '960.4031.96.d1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.d1', 'normal_contained_in': ['32.d1', '48.b1', '48.d1', '48.e1', '48.f1'], 'normal_contains': ['192.a1', '480.d1'], 'normalizer': '1.a1', 'old_label': '96.d1', 'projective_image': '480.720', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.44', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464935
{'ambient': '960.4031', 'aut_centralizer_order': 10240, 'aut_label': '96.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.1', 'aut_weyl_index': 20480, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.e1', '48.a1', '48.c1', '48.e1', '48.l1', '48.m1'], 'contains': ['192.a1', '480.e1'], 'core': '96.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [2202, 1302, 7144, 7938], 'generators': [4, 192], 'label': '960.4031.96.e1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.e1', 'normal_contained_in': ['32.e1', '48.a1', '48.c1', '48.e1'], 'normal_contains': ['192.a1', '480.e1'], 'normalizer': '1.a1', 'old_label': '96.e1', 'projective_image': '480.723', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.44', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464936
{'ambient': '960.4031', 'aut_centralizer_order': 256, 'aut_label': '96.f1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '20.3', 'aut_weyl_index': 4096, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.f1', '48.g1', '48.i1', '48.j1', '48.k1', '48.l1'], 'contains': ['192.a1', '480.f1'], 'core': '192.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [5065, -1, 5926, -1], 'generators': [1, 192], 'label': '960.4031.96.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '96.f1', 'projective_image': '960.4031', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.f1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
-
id: 113464937
{'ambient': '960.4031', 'aut_centralizer_order': 5120, 'aut_label': '120.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 20480, 'centralizer': '2.c1', 'complements': ['8.o1'], 'conjugacy_class_count': 4, 'contained_in': ['24.a1', '40.a1', '60.b1', '60.c1'], 'contains': ['240.a1', '240.m1'], 'core': '120.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [146, 4702, 8967, 9759], 'generators': [2, 24], 'label': '960.4031.120.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.a1', 'normal_contained_in': ['24.a1', '40.a1', '60.b1'], 'normal_contains': ['240.a1'], 'normalizer': '1.a1', 'old_label': '120.a1', 'projective_image': '240.157', 'quotient_action_image': '2.1', 'quotient_action_kernel': '60.4', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '120.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464938
{'ambient': '960.4031', 'aut_centralizer_order': 40960, 'aut_label': '120.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 40960, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.b1', '40.b1', '60.a1', '60.b1', '60.d1', '60.e1'], 'contains': ['240.a1', '240.b1', '240.c1', '240.d1', '240.e1'], 'core': '120.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4717, 6074, 4817, 6228], 'generators': [4, 24, 480], 'label': '960.4031.120.b1', 'mobius_quo': -8, 'mobius_sub': -40, 'normal_closure': '120.b1', 'normal_contained_in': ['24.b1', '40.b1', '60.a1', '60.b1'], 'normal_contains': ['240.a1', '240.b1', '240.c1', '240.d1', '240.e1'], 'normalizer': '1.a1', 'old_label': '120.b1', 'projective_image': '120.44', 'quotient_action_image': '1.1', 'quotient_action_kernel': '120.44', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '120.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464939
{'ambient': '960.4031', 'aut_centralizer_order': 80, 'aut_label': '4.j1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '256.27015', 'aut_weyl_index': 320, 'centralizer': '2.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.c1'], 'contains': ['8.f1', '8.n1', '12.j1', '20.j1'], 'core': '8.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [3879, -1, 6167, -1], 'generators': [2, 480, 16, 192, 240, 4], 'label': '960.4031.4.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '4.j1', 'projective_image': '80.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464940
{'ambient': '960.4031', 'aut_centralizer_order': 10240, 'aut_label': '120.c1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 20480, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['24.c1', '40.c1', '60.a1', '60.f1', '60.g1'], 'contains': ['240.b1', '240.f1'], 'core': '120.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [9013, 9123, 1751, 1383], 'generators': [28, 240], 'label': '960.4031.120.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.c1', 'normal_contained_in': ['24.c1', '40.c1', '60.a1'], 'normal_contains': ['240.b1', '240.f1'], 'normalizer': '1.a1', 'old_label': '120.c1', 'projective_image': '240.157', 'quotient_action_image': '2.1', 'quotient_action_kernel': '60.4', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '120.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464993
{'ambient': '960.4031', 'aut_centralizer_order': 64, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '160.236', 'aut_weyl_index': 512, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.a1', '4.f1'], 'contains': ['16.a1', '16.g1', '16.i1', '16.l1', '24.g1', '40.f1'], 'core': '16.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [2919, -1, 6326, -1], 'generators': [481, 504, 16, 484, 192], 'label': '960.4031.8.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.g1', 'projective_image': '80.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113464941
{'ambient': '960.4031', 'aut_centralizer_order': 5120, 'aut_label': '120.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.3', 'aut_weyl_index': 10240, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['24.e1', '40.d1', '60.a1', '60.h1'], 'contains': ['240.d1', '240.f1'], 'core': '120.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [8796, 7925, 1578, 2581], 'generators': [24, 240], 'label': '960.4031.120.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.d1', 'normal_contained_in': ['24.e1', '40.d1', '60.a1'], 'normal_contains': ['240.d1', '240.f1'], 'normalizer': '1.a1', 'old_label': '120.d1', 'projective_image': '240.156', 'quotient_action_image': '2.1', 'quotient_action_kernel': '60.4', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '120.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464942
{'ambient': '960.4031', 'aut_centralizer_order': 5120, 'aut_label': '120.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.3', 'aut_weyl_index': 10240, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['24.f1', '40.e1', '60.a1', '60.i1', '60.j1'], 'contains': ['240.e1', '240.f1'], 'core': '120.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [7760, 9642, 2057, 2128], 'generators': [4, 240], 'label': '960.4031.120.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.e1', 'normal_contained_in': ['24.f1', '40.e1', '60.a1'], 'normal_contains': ['240.e1', '240.f1'], 'normalizer': '1.a1', 'old_label': '120.e1', 'projective_image': '240.164', 'quotient_action_image': '2.1', 'quotient_action_kernel': '60.13', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '120.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464943
{'ambient': '960.4031', 'aut_centralizer_order': 512, 'aut_label': '120.f1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '4.2', 'aut_weyl_index': 20480, 'centralizer': '20.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.g1', '40.f1', '60.c1', '60.d1'], 'contains': ['240.a1', '240.g1', '240.i1', '240.l1'], 'core': '240.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [2041, -1, 6640, -1], 'generators': [1, 484, 504], 'label': '960.4031.120.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '120.f1', 'projective_image': '240.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464944
{'ambient': '960.4031', 'aut_centralizer_order': 512, 'aut_label': '120.g1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '4.2', 'aut_weyl_index': 20480, 'centralizer': '20.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.h1', '40.g1', '60.c1', '60.e1'], 'contains': ['240.a1', '240.h1'], 'core': '240.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [936, -1, 8110, -1], 'generators': [27, 504], 'label': '960.4031.120.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '120.g1', 'projective_image': '240.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464945
{'ambient': '960.4031', 'aut_centralizer_order': 1024, 'aut_label': '120.h1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '4.2', 'aut_weyl_index': 20480, 'centralizer': '20.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.i1', '40.h1', '60.d1', '60.f1'], 'contains': ['240.b1', '240.g1', '240.j1', '240.k1'], 'core': '240.b1', 'coset_action_label': None, 'count': 20, 'diagramx': [7962, -1, 3843, -1], 'generators': [1, 28, 480], 'label': '960.4031.120.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '120.h1', 'projective_image': '240.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.h1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464946
{'ambient': '960.4031', 'aut_centralizer_order': 1024, 'aut_label': '120.i1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '4.2', 'aut_weyl_index': 20480, 'centralizer': '20.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.j1', '40.i1', '60.e1', '60.g1'], 'contains': ['240.b1', '240.h1'], 'core': '240.b1', 'coset_action_label': None, 'count': 20, 'diagramx': [4308, -1, 4956, -1], 'generators': [27, 480], 'label': '960.4031.120.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '120.i1', 'projective_image': '240.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.i1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464947
{'ambient': '960.4031', 'aut_centralizer_order': 512, 'aut_label': '120.j1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '4.2', 'aut_weyl_index': 20480, 'centralizer': '20.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.k1', '40.j1', '60.d1'], 'contains': ['240.c1', '240.i1', '240.j1', '240.l1'], 'core': '240.c1', 'coset_action_label': None, 'count': 40, 'diagramx': [4151, -1, 6133, -1], 'generators': [1, 4, 504], 'label': '960.4031.120.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '120.j1', 'projective_image': '240.158', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.j1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464948
{'ambient': '960.4031', 'aut_centralizer_order': 5120, 'aut_label': '120.k1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 20480, 'centralizer': '2.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.l1', '40.k1', '60.b1'], 'contains': ['240.c1', '240.m1'], 'core': '240.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [560, -1, 9365, -1], 'generators': [2, 504], 'label': '960.4031.120.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '120.k1', 'projective_image': '240.158', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.k1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464949
{'ambient': '960.4031', 'aut_centralizer_order': 512, 'aut_label': '120.l1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '8.3', 'aut_weyl_index': 10240, 'centralizer': '20.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.d1', '40.l1', '60.d1', '60.h1'], 'contains': ['240.d1', '240.i1', '240.k1'], 'core': '240.d1', 'coset_action_label': None, 'count': 20, 'diagramx': [6933, -1, 3244, -1], 'generators': [1, 24, 480], 'label': '960.4031.120.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '120.l1', 'projective_image': '240.156', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.l1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 113464950
{'ambient': '960.4031', 'aut_centralizer_order': 4, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '4096.bsh', 'aut_weyl_index': 20, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['10.a1', '10.b1', '10.c1', '10.d1', '15.a1'], 'core': '10.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [5856, -1, 4748, -1], 'generators': [1, 24, 4, 2, 480, 240, 16], 'label': '960.4031.5.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '5.a1', 'projective_image': '40.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
-
id: 113464951
{'ambient': '960.4031', 'aut_centralizer_order': 512, 'aut_label': '120.m1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '8.3', 'aut_weyl_index': 10240, 'centralizer': '20.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.m1', '40.m1', '60.d1', '60.i1'], 'contains': ['240.e1', '240.k1', '240.l1'], 'core': '240.e1', 'coset_action_label': None, 'count': 20, 'diagramx': [5551, -1, 3948, -1], 'generators': [1, 4, 480], 'label': '960.4031.120.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '120.m1', 'projective_image': '240.164', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.m1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464952
{'ambient': '960.4031', 'aut_centralizer_order': 5120, 'aut_label': '120.n1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 20480, 'centralizer': '2.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.n1', '40.n1', '60.b1', '60.j1'], 'contains': ['240.e1', '240.m1'], 'core': '240.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [1317, -1, 8659, -1], 'generators': [2, 480], 'label': '960.4031.120.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '120.n1', 'projective_image': '240.164', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.n1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464953
{'ambient': '960.4031', 'aut_centralizer_order': 128, 'aut_label': '120.o1', 'aut_quo_index': None, 'aut_stab_index': 80, 'aut_weyl_group': '8.3', 'aut_weyl_index': 10240, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.o1', '40.o1', '60.f1', '60.h1', '60.i1'], 'contains': ['240.f1', '240.k1'], 'core': '240.f1', 'coset_action_label': None, 'count': 80, 'diagramx': [9282, -1, 1068, -1], 'generators': [1, 240], 'label': '960.4031.120.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '120.o1', 'projective_image': '480.720', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.o1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 113464954
{'ambient': '960.4031', 'aut_centralizer_order': 40960, 'aut_label': '160.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 40960, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '80.a1', '80.b1', '80.g1', '80.h1'], 'contains': ['320.a1', '480.a1'], 'core': '160.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3390, 3867, 6447, 6627], 'generators': [28, 16], 'label': '960.4031.160.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '160.a1', 'normal_contained_in': ['32.a1', '80.a1', '80.b1'], 'normal_contains': ['320.a1', '480.a1'], 'normalizer': '1.a1', 'old_label': '160.a1', 'projective_image': '160.95', 'quotient_action_image': '1.1', 'quotient_action_kernel': '160.95', 'quotient_action_kernel_order': 160, 'quotient_fusion': None, 'short_label': '160.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464955
{'ambient': '960.4031', 'aut_centralizer_order': 20480, 'aut_label': '160.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 40960, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.b1', '80.a1', '80.c1', '80.d1', '80.i1'], 'contains': ['320.a1', '480.b1'], 'core': '160.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [4725, 2579, 6538, 7672], 'generators': [504, 16], 'label': '960.4031.160.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '160.b1', 'normal_contained_in': ['32.b1', '80.a1', '80.c1', '80.d1'], 'normal_contains': ['320.a1', '480.b1'], 'normalizer': '1.a1', 'old_label': '160.b1', 'projective_image': '160.94', 'quotient_action_image': '1.1', 'quotient_action_kernel': '160.94', 'quotient_action_kernel_order': 160, 'quotient_fusion': None, 'short_label': '160.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464956
{'ambient': '960.4031', 'aut_centralizer_order': 40960, 'aut_label': '160.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 40960, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1', '80.b1', '80.c1', '80.j1'], 'contains': ['320.a1', '480.c1'], 'core': '160.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [6257, 2296, 5379, 5802], 'generators': [508, 16], 'label': '960.4031.160.c1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '160.c1', 'normal_contained_in': ['32.c1', '80.b1', '80.c1'], 'normal_contains': ['320.a1', '480.c1'], 'normalizer': '1.a1', 'old_label': '160.c1', 'projective_image': '160.96', 'quotient_action_image': '1.1', 'quotient_action_kernel': '160.96', 'quotient_action_kernel_order': 160, 'quotient_fusion': None, 'short_label': '160.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464957
{'ambient': '960.4031', 'aut_centralizer_order': 40960, 'aut_label': '160.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 40960, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.d1', '80.b1', '80.d1', '80.e1', '80.f1', '80.k1'], 'contains': ['320.a1', '480.d1'], 'core': '160.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [7239, 6714, 3495, 4325], 'generators': [480, 16], 'label': '960.4031.160.d1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '160.d1', 'normal_contained_in': ['32.d1', '80.b1', '80.d1', '80.e1', '80.f1'], 'normal_contains': ['320.a1', '480.d1'], 'normalizer': '1.a1', 'old_label': '160.d1', 'projective_image': '160.148', 'quotient_action_image': '1.1', 'quotient_action_kernel': '160.148', 'quotient_action_kernel_order': 160, 'quotient_fusion': None, 'short_label': '160.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464958
{'ambient': '960.4031', 'aut_centralizer_order': 20480, 'aut_label': '160.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 40960, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.e1', '80.a1', '80.c1', '80.e1', '80.l1', '80.m1'], 'contains': ['320.a1', '480.e1'], 'core': '160.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [3001, 2910, 6992, 7433], 'generators': [4, 16], 'label': '960.4031.160.e1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '160.e1', 'normal_contained_in': ['32.e1', '80.a1', '80.c1', '80.e1'], 'normal_contains': ['320.a1', '480.e1'], 'normalizer': '1.a1', 'old_label': '160.e1', 'projective_image': '160.151', 'quotient_action_image': '1.1', 'quotient_action_kernel': '160.151', 'quotient_action_kernel_order': 160, 'quotient_fusion': None, 'short_label': '160.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464959
{'ambient': '960.4031', 'aut_centralizer_order': 512, 'aut_label': '160.f1', 'aut_quo_index': None, 'aut_stab_index': 80, 'aut_weyl_group': '2.1', 'aut_weyl_index': 40960, 'centralizer': '20.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.f1', '80.g1', '80.i1', '80.j1', '80.k1', '80.l1'], 'contains': ['320.a1', '480.f1'], 'core': '320.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [5906, -1, 5770, -1], 'generators': [1, 16], 'label': '960.4031.160.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.d1', 'old_label': '160.f1', 'projective_image': '320.566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464960
{'ambient': '960.4031', 'aut_centralizer_order': 20480, 'aut_label': '192.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 20480, 'centralizer': '2.c1', 'complements': ['5.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '96.a1', '96.b1', '96.c1', '96.d1', '96.e1', '96.f1'], 'contains': ['960.a1'], 'core': '192.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4500, 1115, 6350, 6627], 'generators': [192], 'label': '960.4031.192.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '192.a1', 'normal_contained_in': ['64.a1', '96.a1', '96.b1', '96.c1', '96.d1', '96.e1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '192.a1', 'projective_image': '960.4031', 'quotient_action_image': '2.1', 'quotient_action_kernel': '96.161', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '192.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464961
{'ambient': '960.4031', 'aut_centralizer_order': 16, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '1280.1116308', 'aut_weyl_index': 64, 'centralizer': '40.b1', 'complements': ['160.f1'], 'conjugacy_class_count': 4, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.a1', '12.c1', '12.d1', '12.f1', '30.b1'], 'core': '6.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3389, 4823, 7242, 7805], 'generators': [1, 192, 480, 4, 2, 24], 'label': '960.4031.6.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1', '3.a1'], 'normal_contains': ['12.a1', '12.c1', '12.d1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '120.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': '40.13'}
-
id: 113464962
{'ambient': '960.4031', 'aut_centralizer_order': 40960, 'aut_label': '240.a1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 81920, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['48.a1', '80.a1', '120.a1', '120.b1', '120.f1', '120.g1'], 'contains': ['480.a1', '480.b1', '480.e1'], 'core': '240.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1931, 3506, 7431, 8514], 'generators': [484, 504], 'label': '960.4031.240.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '240.a1', 'normal_contained_in': ['48.a1', '80.a1', '120.a1', '120.b1'], 'normal_contains': ['480.a1', '480.b1', '480.e1'], 'normalizer': '1.a1', 'old_label': '240.a1', 'projective_image': '240.157', 'quotient_action_image': '1.1', 'quotient_action_kernel': '240.157', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '240.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464963
{'ambient': '960.4031', 'aut_centralizer_order': 81920, 'aut_label': '240.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 81920, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.b1', '80.b1', '120.b1', '120.c1', '120.h1', '120.i1'], 'contains': ['480.a1', '480.c1', '480.d1'], 'core': '240.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6965, 6754, 4278, 4707], 'generators': [28, 480], 'label': '960.4031.240.b1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '240.b1', 'normal_contained_in': ['48.b1', '80.b1', '120.b1', '120.c1'], 'normal_contains': ['480.a1', '480.c1', '480.d1'], 'normalizer': '1.a1', 'old_label': '240.b1', 'projective_image': '240.157', 'quotient_action_image': '1.1', 'quotient_action_kernel': '240.157', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '240.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464964
{'ambient': '960.4031', 'aut_centralizer_order': 40960, 'aut_label': '240.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 81920, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['48.c1', '80.c1', '120.b1', '120.j1', '120.k1'], 'contains': ['480.b1', '480.c1', '480.e1'], 'core': '240.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [3527, 1615, 6884, 7176], 'generators': [4, 504], 'label': '960.4031.240.c1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '240.c1', 'normal_contained_in': ['48.c1', '80.c1', '120.b1'], 'normal_contains': ['480.b1', '480.c1', '480.e1'], 'normalizer': '1.a1', 'old_label': '240.c1', 'projective_image': '240.158', 'quotient_action_image': '1.1', 'quotient_action_kernel': '240.158', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '240.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464965
{'ambient': '960.4031', 'aut_centralizer_order': 40960, 'aut_label': '240.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 40960, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.d1', '80.d1', '120.b1', '120.d1', '120.l1'], 'contains': ['480.b1', '480.d1'], 'core': '240.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [6800, 6155, 3706, 5546], 'generators': [24, 480], 'label': '960.4031.240.d1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '240.d1', 'normal_contained_in': ['48.d1', '80.d1', '120.b1', '120.d1'], 'normal_contains': ['480.b1', '480.d1'], 'normalizer': '1.a1', 'old_label': '240.d1', 'projective_image': '240.156', 'quotient_action_image': '1.1', 'quotient_action_kernel': '240.156', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '240.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464966
{'ambient': '960.4031', 'aut_centralizer_order': 40960, 'aut_label': '240.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 40960, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.e1', '80.e1', '120.b1', '120.e1', '120.m1', '120.n1'], 'contains': ['480.d1', '480.e1'], 'core': '240.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [5503, 7546, 4565, 5273], 'generators': [4, 480], 'label': '960.4031.240.e1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '240.e1', 'normal_contained_in': ['48.e1', '80.e1', '120.b1', '120.e1'], 'normal_contains': ['480.d1', '480.e1'], 'normalizer': '1.a1', 'old_label': '240.e1', 'projective_image': '240.164', 'quotient_action_image': '1.1', 'quotient_action_kernel': '240.164', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '240.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464967
{'ambient': '960.4031', 'aut_centralizer_order': 10240, 'aut_label': '240.f1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 40960, 'centralizer': '2.c1', 'complements': ['4.f1'], 'conjugacy_class_count': 4, 'contained_in': ['48.f1', '80.f1', '120.c1', '120.d1', '120.e1', '120.o1'], 'contains': ['480.d1'], 'core': '240.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [9013, 8955, 1578, 1942], 'generators': [240], 'label': '960.4031.240.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '240.f1', 'normal_contained_in': ['48.f1', '80.f1', '120.c1', '120.d1', '120.e1'], 'normal_contains': ['480.d1'], 'normalizer': '1.a1', 'old_label': '240.f1', 'projective_image': '480.720', 'quotient_action_image': '2.1', 'quotient_action_kernel': '120.31', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '240.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 113464968
{'ambient': '960.4031', 'aut_centralizer_order': 1024, 'aut_label': '240.g1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '2.1', 'aut_weyl_index': 40960, 'centralizer': '20.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.g1', '80.g1', '120.f1', '120.h1'], 'contains': ['480.a1', '480.f1'], 'core': '480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [4047, -1, 6025, -1], 'generators': [1, 28], 'label': '960.4031.240.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.d1', 'old_label': '240.g1', 'projective_image': '480.667', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464969
{'ambient': '960.4031', 'aut_centralizer_order': 1024, 'aut_label': '240.h1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '2.1', 'aut_weyl_index': 40960, 'centralizer': '20.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.h1', '80.h1', '120.g1', '120.i1'], 'contains': ['480.a1'], 'core': '480.a1', 'coset_action_label': None, 'count': 40, 'diagramx': [2037, -1, 7333, -1], 'generators': [27], 'label': '960.4031.240.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.e1', 'old_label': '240.h1', 'projective_image': '480.667', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464970
{'ambient': '960.4031', 'aut_centralizer_order': 512, 'aut_label': '240.i1', 'aut_quo_index': None, 'aut_stab_index': 80, 'aut_weyl_group': '2.1', 'aut_weyl_index': 40960, 'centralizer': '20.d1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.i1', '80.i1', '120.f1', '120.j1', '120.l1'], 'contains': ['480.b1', '480.f1'], 'core': '480.b1', 'coset_action_label': None, 'count': 80, 'diagramx': [5708, -1, 6132, -1], 'generators': [1, 504], 'label': '960.4031.240.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '240.i1', 'projective_image': '480.666', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.i1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 113464971
{'ambient': '960.4031', 'aut_centralizer_order': 1024, 'aut_label': '240.j1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '2.1', 'aut_weyl_index': 40960, 'centralizer': '20.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.j1', '80.j1', '120.h1', '120.j1'], 'contains': ['480.c1', '480.f1'], 'core': '480.c1', 'coset_action_label': None, 'count': 40, 'diagramx': [6471, -1, 5277, -1], 'generators': [1, 508], 'label': '960.4031.240.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.d1', 'old_label': '240.j1', 'projective_image': '480.668', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 113464972
{'ambient': '960.4031', 'aut_centralizer_order': 16, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '5120.kq', 'aut_weyl_index': 16, 'centralizer': '40.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.a1', '12.b1', '12.e1', '12.g1', '12.i1', '30.c1'], 'core': '6.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8263, 7070, 2178, 3363], 'generators': [1, 192, 24, 240, 4, 480], 'label': '960.4031.6.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1', 'normal_contained_in': ['2.b1', '3.a1'], 'normal_contains': ['12.a1', '12.b1', '12.e1'], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': '120.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': '40.13'}
-
id: 113464973
{'ambient': '960.4031', 'aut_centralizer_order': 1024, 'aut_label': '240.k1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '2.1', 'aut_weyl_index': 40960, 'centralizer': '20.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.k1', '80.k1', '120.h1', '120.l1', '120.m1', '120.o1'], 'contains': ['480.d1', '480.f1'], 'core': '480.d1', 'coset_action_label': None, 'count': 40, 'diagramx': [7737, -1, 3321, -1], 'generators': [1, 480], 'label': '960.4031.240.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '240.k1', 'projective_image': '480.720', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.k1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464974
{'ambient': '960.4031', 'aut_centralizer_order': 512, 'aut_label': '240.l1', 'aut_quo_index': None, 'aut_stab_index': 80, 'aut_weyl_group': '2.1', 'aut_weyl_index': 40960, 'centralizer': '20.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.l1', '80.l1', '120.f1', '120.j1', '120.m1'], 'contains': ['480.e1', '480.f1'], 'core': '480.e1', 'coset_action_label': None, 'count': 80, 'diagramx': [3099, -1, 6236, -1], 'generators': [1, 4], 'label': '960.4031.240.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.d1', 'old_label': '240.l1', 'projective_image': '480.723', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464975
{'ambient': '960.4031', 'aut_centralizer_order': 5120, 'aut_label': '240.m1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '2.1', 'aut_weyl_index': 40960, 'centralizer': '2.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.m1', '80.m1', '120.a1', '120.k1', '120.n1'], 'contains': ['480.e1'], 'core': '480.e1', 'coset_action_label': None, 'count': 8, 'diagramx': [467, -1, 9038, -1], 'generators': [2], 'label': '960.4031.240.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '120.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '240.m1', 'projective_image': '480.723', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.m1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464976
{'ambient': '960.4031', 'aut_centralizer_order': 40960, 'aut_label': '320.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 40960, 'centralizer': '1.a1', 'complements': ['3.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '160.a1', '160.b1', '160.c1', '160.d1', '160.e1', '160.f1'], 'contains': ['960.a1'], 'core': '320.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4802, 2612, 6258, 6388], 'generators': [16], 'label': '960.4031.320.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '320.a1', 'normal_contained_in': ['64.a1', '160.a1', '160.b1', '160.c1', '160.d1', '160.e1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '320.a1', 'projective_image': '320.566', 'quotient_action_image': '1.1', 'quotient_action_kernel': '320.566', 'quotient_action_kernel_order': 320, 'quotient_fusion': None, 'short_label': '320.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464977
{'ambient': '960.4031', 'aut_centralizer_order': 81920, 'aut_label': '480.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 81920, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.a1', '160.a1', '240.a1', '240.b1', '240.g1', '240.h1'], 'contains': ['960.a1'], 'core': '480.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3388, 3867, 6447, 6867], 'generators': [28], 'label': '960.4031.480.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '480.a1', 'normal_contained_in': ['96.a1', '160.a1', '240.a1', '240.b1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '480.a1', 'projective_image': '480.667', 'quotient_action_image': '1.1', 'quotient_action_kernel': '480.667', 'quotient_action_kernel_order': 480, 'quotient_fusion': None, 'short_label': '480.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464978
{'ambient': '960.4031', 'aut_centralizer_order': 40960, 'aut_label': '480.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 81920, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['96.b1', '160.b1', '240.a1', '240.c1', '240.d1', '240.i1'], 'contains': ['960.a1'], 'core': '480.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [4440, 2215, 6538, 7606], 'generators': [504], 'label': '960.4031.480.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '480.b1', 'normal_contained_in': ['96.b1', '160.b1', '240.a1', '240.c1', '240.d1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '480.b1', 'projective_image': '480.666', 'quotient_action_image': '1.1', 'quotient_action_kernel': '480.666', 'quotient_action_kernel_order': 480, 'quotient_fusion': None, 'short_label': '480.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464979
{'ambient': '960.4031', 'aut_centralizer_order': 81920, 'aut_label': '480.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 81920, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.c1', '160.c1', '240.b1', '240.c1', '240.j1'], 'contains': ['960.a1'], 'core': '480.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [6209, 1534, 5431, 6068], 'generators': [508], 'label': '960.4031.480.c1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '480.c1', 'normal_contained_in': ['96.c1', '160.c1', '240.b1', '240.c1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '480.c1', 'projective_image': '480.668', 'quotient_action_image': '1.1', 'quotient_action_kernel': '480.668', 'quotient_action_kernel_order': 480, 'quotient_fusion': None, 'short_label': '480.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464980
{'ambient': '960.4031', 'aut_centralizer_order': 81920, 'aut_label': '480.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 81920, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.d1', '160.d1', '240.b1', '240.d1', '240.e1', '240.f1', '240.k1'], 'contains': ['960.a1'], 'core': '480.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [6995, 6754, 3652, 4990], 'generators': [480], 'label': '960.4031.480.d1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '480.d1', 'normal_contained_in': ['96.d1', '160.d1', '240.b1', '240.d1', '240.e1', '240.f1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '480.d1', 'projective_image': '480.720', 'quotient_action_image': '1.1', 'quotient_action_kernel': '480.720', 'quotient_action_kernel_order': 480, 'quotient_fusion': None, 'short_label': '480.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464981
{'ambient': '960.4031', 'aut_centralizer_order': 40960, 'aut_label': '480.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 81920, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['96.e1', '160.e1', '240.a1', '240.c1', '240.e1', '240.l1', '240.m1'], 'contains': ['960.a1'], 'core': '480.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [3009, 2935, 6939, 7240], 'generators': [4], 'label': '960.4031.480.e1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '480.e1', 'normal_contained_in': ['96.e1', '160.e1', '240.a1', '240.c1', '240.e1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '480.e1', 'projective_image': '480.723', 'quotient_action_image': '1.1', 'quotient_action_kernel': '480.723', 'quotient_action_kernel_order': 480, 'quotient_fusion': None, 'short_label': '480.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464982
{'ambient': '960.4031', 'aut_centralizer_order': 1024, 'aut_label': '480.f1', 'aut_quo_index': None, 'aut_stab_index': 80, 'aut_weyl_group': '1.1', 'aut_weyl_index': 81920, 'centralizer': '20.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.f1', '160.f1', '240.g1', '240.i1', '240.j1', '240.k1', '240.l1'], 'contains': ['960.a1'], 'core': '960.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [5834, -1, 5976, -1], 'generators': [1], 'label': '960.4031.480.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.d1', 'old_label': '480.f1', 'projective_image': '960.4031', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464983
{'ambient': '960.4031', 'aut_centralizer_order': 8, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': None, 'aut_weyl_index': 32, 'centralizer': '40.b1', 'complements': ['480.f1'], 'conjugacy_class_count': 4, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.c1', '4.d1', '4.f1', '6.a1', '10.b1'], 'core': '2.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3635, 4893, 6999, 7080], 'generators': [1, 24, 480, 16, 2, 192, 4], 'label': '960.4031.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.c1', '4.d1', '6.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '40.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '40.13'}
-
id: 113464984
{'ambient': '960.4031', 'aut_centralizer_order': 160, 'aut_label': '6.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '512.514818', 'aut_weyl_index': 160, 'centralizer': '2.c1', 'complements': ['160.f1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '3.a1'], 'contains': ['12.b1', '12.c1', '12.j1', '30.a1'], 'core': '6.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4208, 9006, 6727, 5502], 'generators': [2, 480, 240, 192, 24, 4], 'label': '960.4031.6.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.c1', 'normal_contained_in': ['2.c1', '3.a1'], 'normal_contains': ['12.b1', '12.c1', '30.a1'], 'normalizer': '1.a1', 'old_label': '6.c1', 'projective_image': '120.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464985
{'ambient': '960.4031', 'aut_centralizer_order': None, 'aut_label': '960.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': ['192.a1', '320.a1', '480.a1', '480.b1', '480.c1', '480.d1', '480.e1', '480.f1'], 'contains': [], 'core': '960.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4658, 2612, 6304, 6627], 'generators': [], 'label': '960.4031.960.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '960.a1', 'normal_contained_in': ['192.a1', '320.a1', '480.a1', '480.b1', '480.c1', '480.d1', '480.e1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '960.a1', 'projective_image': '960.4031', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113464986
{'ambient': '960.4031', 'aut_centralizer_order': 16, 'aut_label': '6.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '5120.kq', 'aut_weyl_index': 16, 'centralizer': '40.b1', 'complements': ['160.f1'], 'conjugacy_class_count': 1, 'contained_in': ['2.d1', '3.a1'], 'contains': ['12.b1', '12.d1', '12.h1', '30.d1'], 'core': '6.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [6979, 5956, 3596, 3992], 'generators': [27, 192, 240, 28, 24, 480], 'label': '960.4031.6.d1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.d1', 'normal_contained_in': ['2.d1', '3.a1'], 'normal_contains': ['12.b1', '12.d1'], 'normalizer': '1.a1', 'old_label': '6.d1', 'projective_image': '120.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.d1', 'subgroup_fusion': None, 'weyl_group': '40.13'}
-
id: 113464987
{'ambient': '960.4031', 'aut_centralizer_order': 640, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '32.45', 'aut_weyl_index': 2560, 'centralizer': '2.c1', 'complements': ['120.o1'], 'conjugacy_class_count': 4, 'contained_in': ['4.c1', '4.f1'], 'contains': ['16.a1', '16.m1', '24.a1', '40.a1'], 'core': '8.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [396, 2598, 9092, 9113], 'generators': [2, 16, 192, 24, 4], 'label': '960.4031.8.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': ['4.c1'], 'normal_contains': ['16.a1', '24.a1', '40.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '80.37', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464988
{'ambient': '960.4031', 'aut_centralizer_order': 5120, 'aut_label': '8.b1', 'aut_quo_index': 42, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 5120, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.b1', '4.c1', '4.d1'], 'contains': ['16.a1', '16.b1', '16.c1', '16.d1', '16.e1', '24.b1', '40.b1'], 'core': '8.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4827, 3425, 4803, 6058], 'generators': [4, 480, 16, 24, 192], 'label': '960.4031.8.b1', 'mobius_quo': -8, 'mobius_sub': -8, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1', '4.d1'], 'normal_contains': ['16.a1', '16.b1', '16.c1', '16.d1', '16.e1', '24.b1', '40.b1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '40.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464989
{'ambient': '960.4031', 'aut_centralizer_order': 1280, 'aut_label': '8.c1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '32.45', 'aut_weyl_index': 2560, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '4.g1', '4.h1'], 'contains': ['16.b1', '16.f1', '24.c1', '40.c1'], 'core': '8.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [8405, 7700, 2113, 1080], 'generators': [28, 16, 192, 264, 480], 'label': '960.4031.8.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': ['4.b1'], 'normal_contains': ['16.b1', '16.f1', '24.c1', '40.c1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': '80.37', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 113464990
{'ambient': '960.4031', 'aut_centralizer_order': 64, 'aut_label': '8.d1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '320.1595', 'aut_weyl_index': 256, 'centralizer': '40.b1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.a1', '4.e1'], 'contains': ['16.d1', '16.i1', '16.k1', '24.d1', '40.l1'], 'core': '8.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [6595, 5849, 3607, 5399], 'generators': [1, 480, 16, 24, 192], 'label': '960.4031.8.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': ['4.a1', '4.e1'], 'normal_contains': ['16.d1', '24.d1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': '80.36', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': '40.13'}
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id: 113464991
{'ambient': '960.4031', 'aut_centralizer_order': 640, 'aut_label': '8.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '64.196', 'aut_weyl_index': 1280, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '4.e1'], 'contains': ['16.d1', '16.f1', '24.e1', '40.d1'], 'core': '8.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [8684, 7100, 934, 2780], 'generators': [24, 16, 192, 240, 480], 'label': '960.4031.8.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': ['4.b1', '4.e1'], 'normal_contains': ['16.d1', '16.f1', '24.e1', '40.d1'], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': '80.36', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113464992
{'ambient': '960.4031', 'aut_centralizer_order': 640, 'aut_label': '8.f1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '64.196', 'aut_weyl_index': 1280, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '4.i1', '4.j1'], 'contains': ['16.e1', '16.f1', '24.f1', '40.e1'], 'core': '8.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [7592, 8730, 2321, 1622], 'generators': [4, 16, 192, 240, 480], 'label': '960.4031.8.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': ['4.b1'], 'normal_contains': ['16.e1', '16.f1', '24.f1', '40.e1'], 'normalizer': '1.a1', 'old_label': '8.f1', 'projective_image': '80.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 113464994
{'ambient': '960.4031', 'aut_centralizer_order': 64, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '160.236', 'aut_weyl_index': 512, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.d1', '4.f1'], 'contains': ['16.a1', '16.h1', '24.h1', '40.g1'], 'core': '16.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [1691, -1, 7681, -1], 'generators': [27, 16, 28, 504, 192], 'label': '960.4031.8.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.h1', 'projective_image': '80.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113464995
{'ambient': '960.4031', 'aut_centralizer_order': 8, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '40.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.e1', '4.g1', '4.i1', '6.b1', '10.c1'], 'core': '2.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8316, 6835, 2052, 3316], 'generators': [1, 480, 24, 240, 4, 192, 16], 'label': '960.4031.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '4.e1', '6.b1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '40.13', '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': '40.13'}
-
id: 113464996
{'ambient': '960.4031', 'aut_centralizer_order': 128, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '160.236', 'aut_weyl_index': 512, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.g1'], 'contains': ['16.b1', '16.g1', '16.j1', '16.k1', '24.i1', '40.h1'], 'core': '16.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [6183, -1, 3878, -1], 'generators': [25, 480, 16, 28, 192], 'label': '960.4031.8.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.i1', 'projective_image': '80.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113464997
{'ambient': '960.4031', 'aut_centralizer_order': 128, 'aut_label': '8.j1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '160.236', 'aut_weyl_index': 512, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.d1', '4.h1'], 'contains': ['16.b1', '16.h1', '24.j1', '40.i1'], 'core': '16.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [4539, -1, 5086, -1], 'generators': [27, 16, 28, 480, 192], 'label': '960.4031.8.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.j1', 'projective_image': '80.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.j1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113464998
{'ambient': '960.4031', 'aut_centralizer_order': 64, 'aut_label': '8.k1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '160.236', 'aut_weyl_index': 512, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.a1'], 'contains': ['16.c1', '16.i1', '16.j1', '16.l1', '24.k1', '40.j1'], 'core': '16.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [3217, -1, 6055, -1], 'generators': [1, 504, 16, 4, 192], 'label': '960.4031.8.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.k1', 'projective_image': '80.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113464999
{'ambient': '960.4031', 'aut_centralizer_order': 640, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '32.45', 'aut_weyl_index': 2560, 'centralizer': '2.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.c1'], 'contains': ['16.c1', '16.m1', '24.l1', '40.k1'], 'core': '16.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [626, -1, 9539, -1], 'generators': [2, 16, 192, 504, 4], 'label': '960.4031.8.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '8.l1', 'projective_image': '80.38', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113465000
{'ambient': '960.4031', 'aut_centralizer_order': 64, 'aut_label': '8.m1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '320.1595', 'aut_weyl_index': 256, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.i1'], 'contains': ['16.e1', '16.k1', '16.l1', '24.m1', '40.m1'], 'core': '16.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [5881, -1, 4148, -1], 'generators': [1, 480, 16, 4, 192], 'label': '960.4031.8.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.m1', 'projective_image': '80.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.m1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113465001
{'ambient': '960.4031', 'aut_centralizer_order': 640, 'aut_label': '8.n1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '32.45', 'aut_weyl_index': 2560, 'centralizer': '2.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.c1', '4.j1'], 'contains': ['16.e1', '16.m1', '24.n1', '40.n1'], 'core': '16.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [1255, -1, 8330, -1], 'generators': [2, 16, 192, 480, 4], 'label': '960.4031.8.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '8.n1', 'projective_image': '80.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.n1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113465002
{'ambient': '960.4031', 'aut_centralizer_order': 16, 'aut_label': '8.o1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '320.1595', 'aut_weyl_index': 256, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.e1', '4.g1', '4.i1'], 'contains': ['16.f1', '16.k1', '24.o1', '40.o1'], 'core': '16.f1', 'coset_action_label': None, 'count': 16, 'diagramx': [9121, -1, 340, -1], 'generators': [1, 16, 480, 240, 192], 'label': '960.4031.8.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.o1', 'projective_image': '160.148', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.o1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113465003
{'ambient': '960.4031', 'aut_centralizer_order': 320, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 320, 'centralizer': '2.c1', 'complements': ['96.f1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '5.a1'], 'contains': ['20.a1', '20.b1', '20.j1', '30.a1'], 'core': '10.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3946, 9749, 6424, 4711], 'generators': [2, 480, 4, 24, 240, 16], 'label': '960.4031.10.a1', 'mobius_quo': 0, 'mobius_sub': 5, 'normal_closure': '10.a1', 'normal_contained_in': ['2.c1'], 'normal_contains': ['20.a1', '20.b1', '30.a1'], 'normalizer': '1.a1', 'old_label': '10.a1', 'projective_image': '40.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113465004
{'ambient': '960.4031', 'aut_centralizer_order': 32, 'aut_label': '10.b1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '128.2328', 'aut_weyl_index': 640, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.a1', '5.a1'], 'contains': ['20.b1', '20.c1', '20.d1', '20.e1', '30.b1'], 'core': '20.b1', 'coset_action_label': None, 'count': 20, 'diagramx': [2331, -1, 6999, -1], 'generators': [1, 24, 4, 2, 480, 16], 'label': '960.4031.10.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.b1', 'projective_image': '40.13', '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': '8.5'}
-
id: 113465005
{'ambient': '960.4031', 'aut_centralizer_order': 32, 'aut_label': '10.c1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '512.6344809', 'aut_weyl_index': 160, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '5.a1'], 'contains': ['20.a1', '20.d1', '20.f1', '20.h1', '20.i1', '30.c1'], 'core': '20.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9545, -1, 1926, -1], 'generators': [1, 480, 16, 4, 24, 240], 'label': '960.4031.10.c1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.c1', 'projective_image': '40.13', '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': '8.5'}
-
id: 113465006
{'ambient': '960.4031', 'aut_centralizer_order': 80, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 80, 'centralizer': '2.c1', 'complements': ['480.f1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.c1', '4.j1', '6.c1', '10.a1'], 'core': '2.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3975, 7714, 6295, 5296], 'generators': [2, 4, 240, 16, 24, 480, 192], 'label': '960.4031.2.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.c1', '6.c1', '10.a1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': '40.13', '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': '2.1'}
-
id: 113465007
{'ambient': '960.4031', 'aut_centralizer_order': 32, 'aut_label': '10.d1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '512.6344809', 'aut_weyl_index': 160, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1', '5.a1'], 'contains': ['20.a1', '20.e1', '20.g1', '30.d1'], 'core': '20.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [7060, -1, 3366, -1], 'generators': [27, 480, 28, 24, 240, 16], 'label': '960.4031.10.d1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.d1', 'projective_image': '40.13', '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': '8.5'}
-
id: 113465008
{'ambient': '960.4031', 'aut_centralizer_order': 128, 'aut_label': '12.a1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '320.1595', 'aut_weyl_index': 256, 'centralizer': '40.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '6.a1', '6.b1'], 'contains': ['24.b1', '24.d1', '24.g1', '24.i1', '24.k1', '24.m1', '60.d1'], 'core': '12.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4975, 5298, 4585, 6627], 'generators': [1, 24, 480, 4, 192], 'label': '960.4031.12.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.a1', 'normal_contained_in': ['4.a1', '6.a1', '6.b1'], 'normal_contains': ['24.b1', '24.d1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': '120.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': '40.13'}
-
id: 113465009
{'ambient': '960.4031', 'aut_centralizer_order': 1280, 'aut_label': '12.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '64.196', 'aut_weyl_index': 1280, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '6.b1', '6.c1', '6.d1'], 'contains': ['24.b1', '24.c1', '24.e1', '24.f1', '60.a1'], 'core': '12.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8111, 8348, 2777, 3359], 'generators': [4, 240, 192, 24, 480], 'label': '960.4031.12.b1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.b1', 'normal_contained_in': ['4.b1', '6.b1', '6.c1', '6.d1'], 'normal_contains': ['24.b1', '24.c1', '24.e1', '24.f1', '60.a1'], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': '120.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113465010
{'ambient': '960.4031', 'aut_centralizer_order': 1280, 'aut_label': '12.c1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '32.45', 'aut_weyl_index': 2560, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.c1', '6.a1', '6.c1'], 'contains': ['24.a1', '24.b1', '24.l1', '24.n1', '60.b1'], 'core': '12.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [1233, 4669, 8786, 8434], 'generators': [2, 480, 192, 24, 4], 'label': '960.4031.12.c1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.c1', 'normal_contained_in': ['4.c1', '6.a1', '6.c1'], 'normal_contains': ['24.a1', '24.b1', '60.b1'], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': '120.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113465011
{'ambient': '960.4031', 'aut_centralizer_order': 128, 'aut_label': '12.d1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '320.1595', 'aut_weyl_index': 256, 'centralizer': '40.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.d1', '6.a1', '6.d1'], 'contains': ['24.b1', '24.h1', '24.j1', '60.e1'], 'core': '12.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [3441, 3985, 5548, 7203], 'generators': [27, 480, 28, 24, 192], 'label': '960.4031.12.d1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.d1', 'normal_contained_in': ['4.d1', '6.a1', '6.d1'], 'normal_contains': ['24.b1'], 'normalizer': '1.a1', 'old_label': '12.d1', 'projective_image': '120.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1', 'subgroup_fusion': None, 'weyl_group': '40.13'}
-
id: 113465012
{'ambient': '960.4031', 'aut_centralizer_order': 16, 'aut_label': '12.e1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '1280.1106474', 'aut_weyl_index': 64, 'centralizer': '40.b1', 'complements': ['80.m1', '80.h1'], 'conjugacy_class_count': 4, 'contained_in': ['4.e1', '6.b1'], 'contains': ['24.d1', '24.e1', '24.o1', '60.h1'], 'core': '12.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [9100, 6589, 725, 3939], 'generators': [1, 240, 480, 24, 192], 'label': '960.4031.12.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.e1', 'normal_contained_in': ['4.e1', '6.b1'], 'normal_contains': ['24.d1', '24.e1'], 'normalizer': '1.a1', 'old_label': '12.e1', 'projective_image': '240.156', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.e1', 'subgroup_fusion': None, 'weyl_group': '40.13'}
-
id: 113465013
{'ambient': '960.4031', 'aut_centralizer_order': 16, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '320.1638', 'aut_weyl_index': 256, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.f1', '6.a1'], 'contains': ['24.a1', '24.g1', '24.h1', '60.c1'], 'core': '24.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [866, -1, 8143, -1], 'generators': [1, 4, 24, 2, 192], 'label': '960.4031.12.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '12.f1', 'projective_image': '240.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113465014
{'ambient': '960.4031', 'aut_centralizer_order': 32, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '640.19303', 'aut_weyl_index': 128, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.g1', '6.b1'], 'contains': ['24.c1', '24.i1', '24.o1', '60.f1'], 'core': '24.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [8874, -1, 1318, -1], 'generators': [1, 240, 480, 28, 192], 'label': '960.4031.12.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '12.g1', 'projective_image': '240.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113465015
{'ambient': '960.4031', 'aut_centralizer_order': 32, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '640.19303', 'aut_weyl_index': 128, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.h1', '6.d1'], 'contains': ['24.c1', '24.j1', '60.g1'], 'core': '24.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [7361, -1, 3184, -1], 'generators': [27, 28, 480, 240, 192], 'label': '960.4031.12.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '12.h1', 'projective_image': '240.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113465016
{'ambient': '960.4031', 'aut_centralizer_order': 16, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1280.1106474', 'aut_weyl_index': 64, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.i1', '6.b1'], 'contains': ['24.f1', '24.m1', '24.o1', '60.i1'], 'core': '24.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [7871, -1, 1703, -1], 'generators': [1, 240, 480, 4, 192], 'label': '960.4031.12.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '12.i1', 'projective_image': '240.164', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.i1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113465017
{'ambient': '960.4031', 'aut_centralizer_order': 8, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '40.b1', 'complements': ['480.f1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.d1', '4.h1', '6.d1', '10.d1'], 'core': '2.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [6900, 5897, 3481, 4038], 'generators': [27, 480, 240, 16, 24, 192, 28], 'label': '960.4031.2.d1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.d1', '6.d1'], 'normalizer': '1.a1', 'old_label': '2.d1', 'projective_image': '40.13', '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': '40.13'}
-
id: 113465018
{'ambient': '960.4031', 'aut_centralizer_order': 160, 'aut_label': '12.j1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '128.1031', 'aut_weyl_index': 640, 'centralizer': '2.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.j1', '6.c1'], 'contains': ['24.f1', '24.n1', '60.j1'], 'core': '24.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [4154, -1, 6773, -1], 'generators': [2, 192, 4, 240, 480], 'label': '960.4031.12.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '12.j1', 'projective_image': '240.164', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113465019
{'ambient': '960.4031', 'aut_centralizer_order': 8, 'aut_label': '15.a1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '2048.crk', 'aut_weyl_index': 40, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '5.a1'], 'contains': ['30.a1', '30.b1', '30.c1', '30.d1'], 'core': '30.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [5591, -1, 4873, -1], 'generators': [1, 2, 240], 'label': '960.4031.15.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '15.a1', 'projective_image': '120.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
-
id: 113465020
{'ambient': '960.4031', 'aut_centralizer_order': 5120, 'aut_label': '16.a1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 10240, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.b1', '8.g1', '8.h1'], 'contains': ['32.a1', '32.b1', '32.e1', '48.a1', '80.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2594, 1986, 7677, 8674], 'generators': [484, 16, 192, 504], 'label': '960.4031.16.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1'], 'normal_contains': ['32.a1', '32.b1', '32.e1', '48.a1', '80.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '80.37', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113465021
{'ambient': '960.4031', 'aut_centralizer_order': 10240, 'aut_label': '16.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 10240, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '8.c1', '8.i1', '8.j1'], 'contains': ['32.a1', '32.c1', '32.d1', '48.b1', '80.b1'], 'core': '16.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6256, 2777, 4279, 4315], 'generators': [28, 16, 192, 480], 'label': '960.4031.16.b1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': ['8.b1', '8.c1'], 'normal_contains': ['32.a1', '32.c1', '32.d1', '48.b1', '80.b1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': '80.37', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113465022
{'ambient': '960.4031', 'aut_centralizer_order': 5120, 'aut_label': '16.c1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 10240, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '8.k1', '8.l1'], 'contains': ['32.b1', '32.c1', '32.e1', '48.c1', '80.c1'], 'core': '16.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [2945, 941, 7256, 7609], 'generators': [4, 16, 192, 504], 'label': '960.4031.16.c1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '16.c1', 'normal_contained_in': ['8.b1'], 'normal_contains': ['32.b1', '32.c1', '32.e1', '48.c1', '80.c1'], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': '80.38', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113465023
{'ambient': '960.4031', 'aut_centralizer_order': 5120, 'aut_label': '16.d1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 5120, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '8.d1', '8.e1'], 'contains': ['32.b1', '32.d1', '48.d1', '80.d1'], 'core': '16.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [6853, 4220, 3161, 5399], 'generators': [24, 16, 192, 480], 'label': '960.4031.16.d1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '16.d1', 'normal_contained_in': ['8.b1', '8.d1', '8.e1'], 'normal_contains': ['32.b1', '32.d1', '48.d1', '80.d1'], 'normalizer': '1.a1', 'old_label': '16.d1', 'projective_image': '80.36', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113465024
{'ambient': '960.4031', 'aut_centralizer_order': 5120, 'aut_label': '16.e1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 5120, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '8.f1', '8.m1', '8.n1'], 'contains': ['32.d1', '32.e1', '48.e1', '80.e1'], 'core': '16.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [5527, 4819, 4487, 4857], 'generators': [4, 16, 192, 480], 'label': '960.4031.16.e1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '16.e1', 'normal_contained_in': ['8.b1', '8.f1'], 'normal_contains': ['32.d1', '32.e1', '48.e1', '80.e1'], 'normalizer': '1.a1', 'old_label': '16.e1', 'projective_image': '80.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113465025
{'ambient': '960.4031', 'aut_centralizer_order': 1280, 'aut_label': '16.f1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 5120, 'centralizer': '2.c1', 'complements': ['60.c1'], 'conjugacy_class_count': 4, 'contained_in': ['8.c1', '8.e1', '8.f1', '8.o1'], 'contains': ['32.d1', '48.f1', '80.f1'], 'core': '16.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [8506, 7354, 508, 661], 'generators': [240, 192, 480, 16], 'label': '960.4031.16.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.f1', 'normal_contained_in': ['8.c1', '8.e1', '8.f1'], 'normal_contains': ['32.d1', '48.f1', '80.f1'], 'normalizer': '1.a1', 'old_label': '16.f1', 'projective_image': '160.148', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113465026
{'ambient': '960.4031', 'aut_centralizer_order': 128, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '80.50', 'aut_weyl_index': 1024, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.g1', '8.i1'], 'contains': ['32.a1', '32.f1', '48.g1', '80.g1'], 'core': '32.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [3153, -1, 5910, -1], 'generators': [25, 16, 192, 28], 'label': '960.4031.16.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '16.g1', 'projective_image': '160.95', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
-
id: 113465027
{'ambient': '960.4031', 'aut_centralizer_order': 128, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '80.50', 'aut_weyl_index': 1024, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.h1', '8.j1'], 'contains': ['32.a1', '48.h1', '80.h1'], 'core': '32.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [1832, -1, 7466, -1], 'generators': [27, 28, 192, 16], 'label': '960.4031.16.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '16.h1', 'projective_image': '160.95', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
-
id: 113465028
{'ambient': '960.4031', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '40.b1', 'complements': ['320.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1', '6.c1', '6.d1', '15.a1'], 'core': '3.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6533, 6405, 4997, 4631], 'generators': [1, 480, 240, 4, 2, 192, 24], 'label': '960.4031.3.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.a1', '6.b1', '6.c1', '6.d1'], 'normalizer': '1.a1', 'old_label': '3.a1', 'projective_image': '120.44', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '40.13'}
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id: 113465029
{'ambient': '960.4031', 'aut_centralizer_order': 64, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '80.50', 'aut_weyl_index': 1024, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.d1', '8.g1', '8.k1'], 'contains': ['32.b1', '32.f1', '48.i1', '80.i1'], 'core': '32.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [5265, -1, 6285, -1], 'generators': [1, 16, 192, 504], 'label': '960.4031.16.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '16.i1', 'projective_image': '160.94', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113465030
{'ambient': '960.4031', 'aut_centralizer_order': 128, 'aut_label': '16.j1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '80.50', 'aut_weyl_index': 1024, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.i1', '8.k1'], 'contains': ['32.c1', '32.f1', '48.j1', '80.j1'], 'core': '32.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [5944, -1, 5735, -1], 'generators': [1, 16, 192, 508], 'label': '960.4031.16.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '16.j1', 'projective_image': '160.96', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.j1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
-
id: 113465031
{'ambient': '960.4031', 'aut_centralizer_order': 128, 'aut_label': '16.k1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '80.50', 'aut_weyl_index': 1024, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.d1', '8.i1', '8.m1', '8.o1'], 'contains': ['32.d1', '32.f1', '48.k1', '80.k1'], 'core': '32.d1', 'coset_action_label': None, 'count': 8, 'diagramx': [6592, -1, 2567, -1], 'generators': [1, 16, 192, 480], 'label': '960.4031.16.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.k1', 'projective_image': '160.148', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.k1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113465032
{'ambient': '960.4031', 'aut_centralizer_order': 64, 'aut_label': '16.l1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '80.50', 'aut_weyl_index': 1024, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.g1', '8.k1', '8.m1'], 'contains': ['32.e1', '32.f1', '48.l1', '80.l1'], 'core': '32.e1', 'coset_action_label': None, 'count': 16, 'diagramx': [2214, -1, 6662, -1], 'generators': [1, 16, 192, 4], 'label': '960.4031.16.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '16.l1', 'projective_image': '160.151', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.l1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
-
id: 113465033
{'ambient': '960.4031', 'aut_centralizer_order': 640, 'aut_label': '16.m1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '16.10', 'aut_weyl_index': 5120, 'centralizer': '2.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.a1', '8.l1', '8.n1'], 'contains': ['32.e1', '48.m1', '80.m1'], 'core': '32.e1', 'coset_action_label': None, 'count': 8, 'diagramx': [481, -1, 9539, -1], 'generators': [2, 192, 4, 16], 'label': '960.4031.16.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '16.m1', 'projective_image': '160.151', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.m1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113465034
{'ambient': '960.4031', 'aut_centralizer_order': 2560, 'aut_label': '20.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '32.46', 'aut_weyl_index': 2560, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '10.a1', '10.c1', '10.d1'], 'contains': ['40.b1', '40.c1', '40.d1', '40.e1', '60.a1'], 'core': '20.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9154, 9823, 2543, 2201], 'generators': [4, 480, 24, 240, 16], 'label': '960.4031.20.a1', 'mobius_quo': 0, 'mobius_sub': -10, 'normal_closure': '20.a1', 'normal_contained_in': ['4.b1', '10.a1'], 'normal_contains': ['40.b1', '40.c1', '40.d1', '40.e1', '60.a1'], 'normalizer': '1.a1', 'old_label': '20.a1', 'projective_image': '40.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113465035
{'ambient': '960.4031', 'aut_centralizer_order': 2560, 'aut_label': '20.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.14', 'aut_weyl_index': 5120, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.c1', '10.a1', '10.b1'], 'contains': ['40.a1', '40.b1', '40.k1', '40.n1', '60.b1'], 'core': '20.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1023, 6151, 8551, 7822], 'generators': [2, 4, 24, 480, 16], 'label': '960.4031.20.b1', 'mobius_quo': 0, 'mobius_sub': -10, 'normal_closure': '20.b1', 'normal_contained_in': ['4.c1', '10.a1'], 'normal_contains': ['40.a1', '40.b1', '60.b1'], 'normalizer': '1.a1', 'old_label': '20.b1', 'projective_image': '40.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113465036
{'ambient': '960.4031', 'aut_centralizer_order': 32, 'aut_label': '20.c1', 'aut_quo_index': None, 'aut_stab_index': 80, 'aut_weyl_group': '32.51', 'aut_weyl_index': 2560, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.f1', '10.b1'], 'contains': ['40.a1', '40.f1', '40.g1', '60.c1'], 'core': '40.a1', 'coset_action_label': None, 'count': 80, 'diagramx': [208, -1, 7934, -1], 'generators': [1, 24, 2, 16, 4], 'label': '960.4031.20.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '20.c1', 'projective_image': '80.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 113465037
{'ambient': '960.4031', 'aut_centralizer_order': 256, 'aut_label': '20.d1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '32.46', 'aut_weyl_index': 2560, 'centralizer': '20.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '10.b1', '10.c1'], 'contains': ['40.b1', '40.f1', '40.h1', '40.j1', '40.l1', '40.m1', '60.d1'], 'core': '40.b1', 'coset_action_label': None, 'count': 10, 'diagramx': [5145, -1, 4384, -1], 'generators': [1, 16, 4, 24, 480], 'label': '960.4031.20.d1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.d1', 'projective_image': '40.13', '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': '4.2'}
-
id: 113465038
{'ambient': '960.4031', 'aut_centralizer_order': 256, 'aut_label': '20.e1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '32.46', 'aut_weyl_index': 2560, 'centralizer': '20.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.d1', '10.b1', '10.d1'], 'contains': ['40.b1', '40.g1', '40.i1', '60.e1'], 'core': '40.b1', 'coset_action_label': None, 'count': 10, 'diagramx': [4072, -1, 5311, -1], 'generators': [27, 28, 24, 480, 16], 'label': '960.4031.20.e1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.e1', 'projective_image': '40.13', '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': '4.2'}
-
id: 113465039
{'ambient': '960.4031', 'aut_centralizer_order': 64, 'aut_label': '4.a1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '640.21483', 'aut_weyl_index': 128, 'centralizer': '40.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '2.b1'], 'contains': ['8.b1', '8.d1', '8.g1', '8.i1', '8.k1', '8.m1', '12.a1', '20.d1'], 'core': '4.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5257, 5394, 4484, 6288], 'generators': [1, 192, 24, 480, 4, 16], 'label': '960.4031.4.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['8.b1', '8.d1', '12.a1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '40.13', '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': '40.13'}
-
id: 113465040
{'ambient': '960.4031', 'aut_centralizer_order': 64, 'aut_label': '20.f1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1280, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.g1', '10.c1'], 'contains': ['40.c1', '40.h1', '40.o1', '60.f1'], 'core': '40.c1', 'coset_action_label': None, 'count': 20, 'diagramx': [9883, -1, 1125, -1], 'generators': [1, 480, 28, 264, 16], 'label': '960.4031.20.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '20.f1', 'projective_image': '80.37', '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': '4.2'}
-
id: 113465041
{'ambient': '960.4031', 'aut_centralizer_order': 64, 'aut_label': '20.g1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1280, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.h1', '10.d1'], 'contains': ['40.c1', '40.i1', '60.g1'], 'core': '40.c1', 'coset_action_label': None, 'count': 20, 'diagramx': [7498, -1, 3002, -1], 'generators': [27, 480, 240, 16, 28], 'label': '960.4031.20.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.d1', 'old_label': '20.g1', 'projective_image': '80.37', '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': '4.2'}
-
id: 113465042
{'ambient': '960.4031', 'aut_centralizer_order': 32, 'aut_label': '20.h1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 640, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.e1', '10.c1'], 'contains': ['40.d1', '40.l1', '40.o1', '60.h1'], 'core': '40.d1', 'coset_action_label': None, 'count': 20, 'diagramx': [9639, -1, 532, -1], 'generators': [1, 480, 24, 240, 16], 'label': '960.4031.20.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.h1', 'projective_image': '80.36', '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': '8.5'}
-
id: 113465043
{'ambient': '960.4031', 'aut_centralizer_order': 32, 'aut_label': '20.i1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 640, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.i1', '10.c1'], 'contains': ['40.e1', '40.m1', '40.o1', '60.i1'], 'core': '40.e1', 'coset_action_label': None, 'count': 20, 'diagramx': [8127, -1, 1510, -1], 'generators': [1, 480, 4, 240, 16], 'label': '960.4031.20.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.c1', 'old_label': '20.i1', 'projective_image': '80.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.i1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 113465044
{'ambient': '960.4031', 'aut_centralizer_order': 320, 'aut_label': '20.j1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1280, 'centralizer': '2.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.j1', '10.a1'], 'contains': ['40.e1', '40.n1', '60.j1'], 'core': '40.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [3623, -1, 6565, -1], 'generators': [2, 480, 240, 16, 4], 'label': '960.4031.20.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '20.j1', 'projective_image': '80.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113465045
{'ambient': '960.4031', 'aut_centralizer_order': 1280, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 5120, 'centralizer': '2.c1', 'complements': ['40.o1'], 'conjugacy_class_count': 4, 'contained_in': ['8.a1', '12.c1', '12.f1'], 'contains': ['48.a1', '48.m1', '120.a1'], 'core': '24.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [401, 2782, 9379, 9759], 'generators': [2, 192, 4, 24], 'label': '960.4031.24.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': ['8.a1', '12.c1'], 'normal_contains': ['48.a1', '120.a1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': '240.157', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113465046
{'ambient': '960.4031', 'aut_centralizer_order': 10240, 'aut_label': '24.b1', 'aut_quo_index': 42, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 10240, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '12.a1', '12.b1', '12.c1', '12.d1'], 'contains': ['48.a1', '48.b1', '48.c1', '48.d1', '48.e1', '120.b1'], 'core': '24.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4691, 3701, 4909, 7030], 'generators': [4, 480, 192, 24], 'label': '960.4031.24.b1', 'mobius_quo': 8, 'mobius_sub': 8, 'normal_closure': '24.b1', 'normal_contained_in': ['8.b1', '12.a1', '12.b1', '12.c1', '12.d1'], 'normal_contains': ['48.a1', '48.b1', '48.c1', '48.d1', '48.e1', '120.b1'], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': '120.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113465047
{'ambient': '960.4031', 'aut_centralizer_order': 2560, 'aut_label': '24.c1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 5120, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.c1', '12.b1', '12.g1', '12.h1'], 'contains': ['48.b1', '48.f1', '120.c1'], 'core': '24.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [8548, 8126, 1641, 1080], 'generators': [28, 192, 480, 240], 'label': '960.4031.24.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': ['8.c1', '12.b1'], 'normal_contains': ['48.b1', '48.f1', '120.c1'], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': '240.157', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113465048
{'ambient': '960.4031', 'aut_centralizer_order': 128, 'aut_label': '24.d1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '160.207', 'aut_weyl_index': 512, 'centralizer': '40.b1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.d1', '12.a1', '12.e1'], 'contains': ['48.d1', '48.i1', '48.k1', '120.l1'], 'core': '24.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [6897, 5383, 2956, 5935], 'generators': [1, 480, 192, 24], 'label': '960.4031.24.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.d1', 'normal_contained_in': ['8.d1', '12.a1', '12.e1'], 'normal_contains': ['48.d1'], 'normalizer': '1.a1', 'old_label': '24.d1', 'projective_image': '240.156', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1', 'subgroup_fusion': None, 'weyl_group': '40.13'}
-
id: 113465049
{'ambient': '960.4031', 'aut_centralizer_order': 1280, 'aut_label': '24.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '32.25', 'aut_weyl_index': 2560, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.e1', '12.b1', '12.e1'], 'contains': ['48.d1', '48.f1', '120.d1'], 'core': '24.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [8827, 7104, 877, 3772], 'generators': [24, 192, 480, 240], 'label': '960.4031.24.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.e1', 'normal_contained_in': ['8.e1', '12.b1', '12.e1'], 'normal_contains': ['48.d1', '48.f1', '120.d1'], 'normalizer': '1.a1', 'old_label': '24.e1', 'projective_image': '240.156', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113465050
{'ambient': '960.4031', 'aut_centralizer_order': 640, 'aut_label': '4.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '128.2154', 'aut_weyl_index': 640, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '2.c1', '2.d1'], 'contains': ['8.b1', '8.c1', '8.e1', '8.f1', '12.b1', '20.a1'], 'core': '4.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8163, 7700, 2543, 2201], 'generators': [4, 480, 240, 16, 24, 192], 'label': '960.4031.4.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1', 'normal_contained_in': ['2.b1', '2.c1', '2.d1'], 'normal_contains': ['8.b1', '8.c1', '8.e1', '8.f1', '12.b1', '20.a1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '40.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113465051
{'ambient': '960.4031', 'aut_centralizer_order': 1280, 'aut_label': '24.f1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '32.25', 'aut_weyl_index': 2560, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.f1', '12.b1', '12.i1', '12.j1'], 'contains': ['48.e1', '48.f1', '120.e1'], 'core': '24.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [7852, 8869, 2057, 2707], 'generators': [4, 192, 480, 240], 'label': '960.4031.24.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': ['8.f1', '12.b1'], 'normal_contains': ['48.e1', '48.f1', '120.e1'], 'normalizer': '1.a1', 'old_label': '24.f1', 'projective_image': '240.164', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113465052
{'ambient': '960.4031', 'aut_centralizer_order': 128, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '80.50', 'aut_weyl_index': 1024, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.g1', '12.a1', '12.f1'], 'contains': ['48.a1', '48.g1', '48.i1', '48.l1', '120.f1'], 'core': '48.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [2611, -1, 7051, -1], 'generators': [1, 504, 192, 484], 'label': '960.4031.24.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '24.g1', 'projective_image': '240.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.g1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113465053
{'ambient': '960.4031', 'aut_centralizer_order': 128, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '80.50', 'aut_weyl_index': 1024, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.h1', '12.d1', '12.f1'], 'contains': ['48.a1', '48.h1', '120.g1'], 'core': '48.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [1551, -1, 8201, -1], 'generators': [27, 28, 192, 504], 'label': '960.4031.24.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '24.h1', 'projective_image': '240.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113465054
{'ambient': '960.4031', 'aut_centralizer_order': 256, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '80.50', 'aut_weyl_index': 1024, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.i1', '12.a1', '12.g1'], 'contains': ['48.b1', '48.g1', '48.j1', '48.k1', '120.h1'], 'core': '48.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [6365, -1, 3567, -1], 'generators': [1, 480, 192, 28], 'label': '960.4031.24.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '24.i1', 'projective_image': '240.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113465055
{'ambient': '960.4031', 'aut_centralizer_order': 256, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '80.50', 'aut_weyl_index': 1024, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.j1', '12.d1', '12.h1'], 'contains': ['48.b1', '48.h1', '120.i1'], 'core': '48.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [3732, -1, 5341, -1], 'generators': [27, 28, 192, 480], 'label': '960.4031.24.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '24.j1', 'projective_image': '240.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113465056
{'ambient': '960.4031', 'aut_centralizer_order': 128, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '80.50', 'aut_weyl_index': 1024, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.k1', '12.a1'], 'contains': ['48.c1', '48.i1', '48.j1', '48.l1', '120.j1'], 'core': '48.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [3405, -1, 6473, -1], 'generators': [1, 504, 192, 4], 'label': '960.4031.24.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '24.k1', 'projective_image': '240.158', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113465057
{'ambient': '960.4031', 'aut_centralizer_order': 1280, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 5120, 'centralizer': '2.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.l1', '12.c1'], 'contains': ['48.c1', '48.m1', '120.k1'], 'core': '48.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [678, -1, 9908, -1], 'generators': [2, 192, 4, 504], 'label': '960.4031.24.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '24.l1', 'projective_image': '240.158', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113465058
{'ambient': '960.4031', 'aut_centralizer_order': 128, 'aut_label': '24.m1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '160.207', 'aut_weyl_index': 512, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.m1', '12.a1', '12.i1'], 'contains': ['48.e1', '48.k1', '48.l1', '120.m1'], 'core': '48.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [5519, -1, 3969, -1], 'generators': [1, 480, 192, 4], 'label': '960.4031.24.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '24.m1', 'projective_image': '240.164', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.m1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113465059
{'ambient': '960.4031', 'aut_centralizer_order': 1280, 'aut_label': '24.n1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 5120, 'centralizer': '2.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.n1', '12.c1', '12.j1'], 'contains': ['48.e1', '48.m1', '120.n1'], 'core': '48.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [1271, -1, 8763, -1], 'generators': [2, 192, 4, 480], 'label': '960.4031.24.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '24.n1', 'projective_image': '240.164', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.n1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113465060
{'ambient': '960.4031', 'aut_centralizer_order': 32, 'aut_label': '24.o1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '160.207', 'aut_weyl_index': 512, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.o1', '12.e1', '12.g1', '12.i1'], 'contains': ['48.f1', '48.k1', '120.o1'], 'core': '48.f1', 'coset_action_label': None, 'count': 16, 'diagramx': [9001, -1, 220, -1], 'generators': [1, 480, 192, 240], 'label': '960.4031.24.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '24.o1', 'projective_image': '480.720', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.o1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113465061
{'ambient': '960.4031', 'aut_centralizer_order': 640, 'aut_label': '4.c1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '64.260', 'aut_weyl_index': 1280, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '2.c1'], 'contains': ['8.a1', '8.b1', '8.l1', '8.n1', '12.c1', '20.b1'], 'core': '4.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [1134, 4481, 8441, 8434], 'generators': [2, 4, 480, 16, 24, 192], 'label': '960.4031.4.c1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1', 'normal_contained_in': ['2.a1', '2.c1'], 'normal_contains': ['8.a1', '8.b1', '12.c1', '20.b1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '40.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113465062
{'ambient': '960.4031', 'aut_centralizer_order': 640, 'aut_label': '30.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 640, 'centralizer': '2.c1', 'complements': ['32.f1'], 'conjugacy_class_count': 1, 'contained_in': ['6.c1', '10.a1', '15.a1'], 'contains': ['60.a1', '60.b1', '60.j1'], 'core': '30.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4090, 9043, 6977, 4747], 'generators': [2, 24, 240], 'label': '960.4031.30.a1', 'mobius_quo': 0, 'mobius_sub': -5, 'normal_closure': '30.a1', 'normal_contained_in': ['6.c1', '10.a1'], 'normal_contains': ['60.a1', '60.b1'], 'normalizer': '1.a1', 'old_label': '30.a1', 'projective_image': '120.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '30.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113465063
{'ambient': '960.4031', 'aut_centralizer_order': 64, 'aut_label': '30.b1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '64.267', 'aut_weyl_index': 1280, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.a1', '10.b1', '15.a1'], 'contains': ['60.b1', '60.c1', '60.d1', '60.e1'], 'core': '60.b1', 'coset_action_label': None, 'count': 20, 'diagramx': [1707, -1, 7198, -1], 'generators': [1, 2, 480], 'label': '960.4031.30.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '30.b1', 'projective_image': '120.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.b1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
-
id: 113465064
{'ambient': '960.4031', 'aut_centralizer_order': 64, 'aut_label': '30.c1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '256.16888', 'aut_weyl_index': 320, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1', '10.c1', '15.a1'], 'contains': ['60.a1', '60.d1', '60.f1', '60.h1', '60.i1'], 'core': '60.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9068, -1, 1908, -1], 'generators': [1, 4, 24, 240], 'label': '960.4031.30.c1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '30.c1', 'projective_image': '120.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.c1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
-
id: 113465065
{'ambient': '960.4031', 'aut_centralizer_order': 64, 'aut_label': '30.d1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '256.16888', 'aut_weyl_index': 320, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.d1', '10.d1', '15.a1'], 'contains': ['60.a1', '60.e1', '60.g1'], 'core': '60.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [7559, -1, 3366, -1], 'generators': [27, 24, 240], 'label': '960.4031.30.d1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '30.d1', 'projective_image': '120.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.d1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
-
id: 113465066
{'ambient': '960.4031', 'aut_centralizer_order': 10240, 'aut_label': '32.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 10240, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.b1', '16.g1', '16.h1'], 'contains': ['64.a1', '96.a1', '160.a1'], 'core': '32.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3089, 2130, 6749, 6804], 'generators': [28, 192, 16], 'label': '960.4031.32.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1', '16.b1'], 'normal_contains': ['64.a1', '96.a1', '160.a1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': '160.95', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.2', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113465067
{'ambient': '960.4031', 'aut_centralizer_order': 5120, 'aut_label': '32.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 10240, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.a1', '16.c1', '16.d1', '16.i1'], 'contains': ['64.a1', '96.b1', '160.b1'], 'core': '32.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [4476, 732, 6861, 8388], 'generators': [504, 192, 16], 'label': '960.4031.32.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': ['16.a1', '16.c1', '16.d1'], 'normal_contains': ['64.a1', '96.b1', '160.b1'], 'normalizer': '1.a1', 'old_label': '32.b1', 'projective_image': '160.94', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.2', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113465068
{'ambient': '960.4031', 'aut_centralizer_order': 10240, 'aut_label': '32.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 10240, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '16.c1', '16.j1'], 'contains': ['64.a1', '96.c1', '160.c1'], 'core': '32.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [6128, 1056, 5387, 6511], 'generators': [508, 192, 16], 'label': '960.4031.32.c1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': ['16.b1', '16.c1'], 'normal_contains': ['64.a1', '96.c1', '160.c1'], 'normalizer': '1.a1', 'old_label': '32.c1', 'projective_image': '160.96', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.2', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113465069
{'ambient': '960.4031', 'aut_centralizer_order': 10240, 'aut_label': '32.d1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 10240, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '16.d1', '16.e1', '16.f1', '16.k1'], 'contains': ['64.a1', '96.d1', '160.d1'], 'core': '32.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [6668, 4061, 3352, 2953], 'generators': [480, 192, 16], 'label': '960.4031.32.d1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '32.d1', 'normal_contained_in': ['16.b1', '16.d1', '16.e1', '16.f1'], 'normal_contains': ['64.a1', '96.d1', '160.d1'], 'normalizer': '1.a1', 'old_label': '32.d1', 'projective_image': '160.148', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.10', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113465070
{'ambient': '960.4031', 'aut_centralizer_order': 5120, 'aut_label': '32.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 10240, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.a1', '16.c1', '16.e1', '16.l1', '16.m1'], 'contains': ['64.a1', '96.e1', '160.e1'], 'core': '32.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [2131, 1666, 7356, 8095], 'generators': [4, 192, 16], 'label': '960.4031.32.e1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '32.e1', 'normal_contained_in': ['16.a1', '16.c1', '16.e1'], 'normal_contains': ['64.a1', '96.e1', '160.e1'], 'normalizer': '1.a1', 'old_label': '32.e1', 'projective_image': '160.151', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.10', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113465071
{'ambient': '960.4031', 'aut_centralizer_order': 128, 'aut_label': '32.f1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '40.12', 'aut_weyl_index': 2048, 'centralizer': '40.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.g1', '16.i1', '16.j1', '16.k1', '16.l1'], 'contains': ['64.a1', '96.f1', '160.f1'], 'core': '64.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [5424, -1, 5531, -1], 'generators': [1, 192, 16], 'label': '960.4031.32.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '32.f1', 'projective_image': '320.566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.f1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
