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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 120, 'aut_gen_orders': [24, 4, 20, 12, 4, 8, 20], 'aut_gens': [[1, 4, 160], [1529, 1132, 544], [1309, 220, 1568], [1005, 654, 928], [569, 1188, 832], [489, 116, 1152], [567, 148, 512], [35, 286, 1120]], 'aut_group': None, 'aut_hash': 1207954354698926632, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 6144000, 'aut_permdeg': 800, 'aut_perms': 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'aut_phi_ratio': 9600.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 1, 2, 2], [4, 2, 1, 2], [4, 2, 2, 1], [4, 100, 8, 1], [5, 2, 12, 1], [8, 2, 8, 1], [10, 2, 12, 3], [10, 2, 24, 2], [20, 2, 24, 2], [20, 2, 48, 1], [40, 2, 192, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_{10}^2.C_2^3.C_2^6.S_5', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '64.267', 'autcent_hash': 267, 'autcent_nilpotent': True, 'autcent_order': 64, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^6', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 120, 'autcentquo_group': '96000.q', 'autcentquo_hash': 3180249921970749399, 'autcentquo_nilpotent': False, 'autcentquo_order': 96000, 'autcentquo_solvable': False, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_{10}^2:(C_2\\times \\GL(2,5))', 'cc_stats': [[1, 1, 1], [2, 1, 7], [4, 2, 4], [4, 100, 8], [5, 2, 12], [8, 2, 8], [10, 2, 84], [20, 2, 96], [40, 2, 192]], 'center_label': '8.5', 'center_order': 8, 'central_product': False, 'central_quotient': '200.34', 'commutator_count': 1, 'commutator_label': '100.8', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '5.1', '5.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 1937, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [4, 2, 1, 4], [4, 100, 2, 4], [5, 2, 2, 6], [8, 2, 4, 2], [10, 2, 2, 42], [20, 2, 4, 24], [40, 2, 16, 12]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 336, 'exponent': 40, 'exponents_of_order': [6, 2], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '16.10', 'frattini_quotient': '100.15', 'hash': 1937, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 20, 'inner_gen_orders': [2, 20, 5], 'inner_gens': [[1, 876, 1440], [889, 4, 160], [321, 4, 160]], 'inner_hash': 34, 'inner_nilpotent': False, 'inner_order': 200, 'inner_split': False, 'inner_tex': 'C_5:D_{20}', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 16], [2, 396]], 'label': '1600.1937', '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': 'C10^2.D8', '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 21, 'number_characteristic_subgroups': 29, 'number_conjugacy_classes': 412, 'number_divisions': 102, 'number_normal_subgroups': 247, 'number_subgroup_autclasses': 99, 'number_subgroup_classes': 456, 'number_subgroups': 3384, 'old_label': None, 'order': 1600, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 7], [4, 808], [5, 24], [8, 16], [10, 168], [20, 192], [40, 384]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 120, 'outer_gen_orders': [20, 4, 8, 2, 4, 12], 'outer_gen_pows': [40, 0, 0, 32, 40, 0], 'outer_gens': [[327, 356, 1248], [193, 158, 576], [239, 278, 224], [985, 926, 1536], [735, 6, 1504], [593, 574, 928]], 'outer_group': None, 'outer_hash': 7822380037478616745, 'outer_nilpotent': False, 'outer_order': 30720, 'outer_permdeg': 384, 'outer_perms': 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'primary_abelian_invariants': [4, 4], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 10], [4, 28], [8, 36], [16, 24]], 'representations': {'PC': {'code': 743385897434092672001434425096224847838800838707, 'gens': [1, 3, 7], 'pres': [8, -2, -2, -2, -2, -2, -5, -2, -5, 16, 21026, 66, 4867, 91, 5764, 116, 6149, 80646, 166, 81927]}, 'Perm': {'d': 26, 'gens': [2534672854103702514138727, 16238591908674726184070400, 34202269358132115891974400, 49017727695127658987520000, 753240114950400, 65847339622844707479552000, 413317, 857572]}}, 'schur_multiplier': [2, 2, 10], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [4, 4], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{10}^2.D_8', 'transitive_degree': 1600, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
Hide schema
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id: 121604498
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 1937, 'group_order': 1600, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
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id: 121604609
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 1937, 'group_order': 1600, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 800, 'size': 1}
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id: 121604720
{'aut_label': '2B', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 1937, 'group_order': 1600, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 880, 'size': 1}
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id: 121604831
{'aut_label': '2C', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 1937, 'group_order': 1600, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 2, 'size': 1}
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id: 121604855
{'aut_label': '2D', 'centralizer': '1.a1', 'counter': 5, 'group_counter': 1937, 'group_order': 1600, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 802, 'size': 1}
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id: 121604866
{'aut_label': '2D', 'centralizer': '1.a1', 'counter': 6, 'group_counter': 1937, 'group_order': 1600, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 82, 'size': 1}
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id: 121604877
{'aut_label': '2C', 'centralizer': '1.a1', 'counter': 7, 'group_counter': 1937, 'group_order': 1600, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 882, 'size': 1}
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id: 121604888
{'aut_label': '2G', 'centralizer': '1.a1', 'counter': 8, 'group_counter': 1937, 'group_order': 1600, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 80, 'size': 1}
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id: 121604899
{'aut_label': '4A', 'centralizer': '2.b1', 'counter': 9, 'group_counter': 1937, 'group_order': 1600, 'label': '4A', 'order': 4, 'powers': [8, 9], 'representative': 840, 'size': 2}
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id: 121604499
{'aut_label': '4B', 'centralizer': '2.b1', 'counter': 10, 'group_counter': 1937, 'group_order': 1600, 'label': '4B', 'order': 4, 'powers': [8, 10], 'representative': 42, 'size': 2}
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id: 121604510
{'aut_label': '4B', 'centralizer': '2.b1', 'counter': 11, 'group_counter': 1937, 'group_order': 1600, 'label': '4C', 'order': 4, 'powers': [8, 11], 'representative': 842, 'size': 2}
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id: 121604521
{'aut_label': '4D', 'centralizer': '2.b1', 'counter': 12, 'group_counter': 1937, 'group_order': 1600, 'label': '4D', 'order': 4, 'powers': [8, 12], 'representative': 40, 'size': 2}
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id: 121604532
{'aut_label': '4E1', 'centralizer': '100.c1', 'counter': 13, 'group_counter': 1937, 'group_order': 1600, 'label': '4E1', 'order': 4, 'powers': [4, 13], 'representative': 145, 'size': 100}
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id: 121604543
{'aut_label': '4E1', 'centralizer': '100.c1', 'counter': 14, 'group_counter': 1937, 'group_order': 1600, 'label': '4E-1', 'order': 4, 'powers': [4, 14], 'representative': 147, 'size': 100}
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id: 121604554
{'aut_label': '4E1', 'centralizer': '100.c1', 'counter': 15, 'group_counter': 1937, 'group_order': 1600, 'label': '4F1', 'order': 4, 'powers': [7, 15], 'representative': 885, 'size': 100}
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id: 121604565
{'aut_label': '4E1', 'centralizer': '100.c1', 'counter': 16, 'group_counter': 1937, 'group_order': 1600, 'label': '4F-1', 'order': 4, 'powers': [7, 16], 'representative': 7, 'size': 100}
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id: 121604576
{'aut_label': '4E1', 'centralizer': '100.c1', 'counter': 17, 'group_counter': 1937, 'group_order': 1600, 'label': '4G1', 'order': 4, 'powers': [4, 17], 'representative': 153, 'size': 100}
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id: 121604587
{'aut_label': '4E1', 'centralizer': '100.c1', 'counter': 18, 'group_counter': 1937, 'group_order': 1600, 'label': '4G-1', 'order': 4, 'powers': [4, 18], 'representative': 155, 'size': 100}
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id: 121604598
{'aut_label': '4E1', 'centralizer': '100.c1', 'counter': 19, 'group_counter': 1937, 'group_order': 1600, 'label': '4H1', 'order': 4, 'powers': [7, 19], 'representative': 855, 'size': 100}
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id: 121604610
{'aut_label': '4E1', 'centralizer': '100.c1', 'counter': 20, 'group_counter': 1937, 'group_order': 1600, 'label': '4H-1', 'order': 4, 'powers': [7, 20], 'representative': 133, 'size': 100}
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id: 121604621
{'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 21, 'group_counter': 1937, 'group_order': 1600, 'label': '5A1', 'order': 5, 'powers': [22, 1], 'representative': 320, 'size': 2}
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id: 121604632
{'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 22, 'group_counter': 1937, 'group_order': 1600, 'label': '5A2', 'order': 5, 'powers': [21, 1], 'representative': 640, 'size': 2}
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id: 121604643
{'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 23, 'group_counter': 1937, 'group_order': 1600, 'label': '5B1', 'order': 5, 'powers': [24, 1], 'representative': 384, 'size': 2}
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id: 121604654
{'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 24, 'group_counter': 1937, 'group_order': 1600, 'label': '5B2', 'order': 5, 'powers': [23, 1], 'representative': 768, 'size': 2}
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id: 121604665
{'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 25, 'group_counter': 1937, 'group_order': 1600, 'label': '5C1', 'order': 5, 'powers': [26, 1], 'representative': 352, 'size': 2}
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id: 121604676
{'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 26, 'group_counter': 1937, 'group_order': 1600, 'label': '5C2', 'order': 5, 'powers': [25, 1], 'representative': 704, 'size': 2}
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id: 121604687
{'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 27, 'group_counter': 1937, 'group_order': 1600, 'label': '5D1', 'order': 5, 'powers': [28, 1], 'representative': 64, 'size': 2}
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id: 121604698
{'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 28, 'group_counter': 1937, 'group_order': 1600, 'label': '5D2', 'order': 5, 'powers': [27, 1], 'representative': 128, 'size': 2}
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id: 121604709
{'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 29, 'group_counter': 1937, 'group_order': 1600, 'label': '5E1', 'order': 5, 'powers': [30, 1], 'representative': 448, 'size': 2}
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id: 121604721
{'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 30, 'group_counter': 1937, 'group_order': 1600, 'label': '5E2', 'order': 5, 'powers': [29, 1], 'representative': 736, 'size': 2}
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id: 121604732
{'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 31, 'group_counter': 1937, 'group_order': 1600, 'label': '5F1', 'order': 5, 'powers': [32, 1], 'representative': 416, 'size': 2}
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id: 121604743
{'aut_label': '5A1', 'centralizer': '2.b1', 'counter': 32, 'group_counter': 1937, 'group_order': 1600, 'label': '5F2', 'order': 5, 'powers': [31, 1], 'representative': 672, 'size': 2}
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id: 121604754
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 33, 'group_counter': 1937, 'group_order': 1600, 'label': '8A1', 'order': 8, 'powers': [12, 36], 'representative': 20, 'size': 2}
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id: 121604765
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 34, 'group_counter': 1937, 'group_order': 1600, 'label': '8A-1', 'order': 8, 'powers': [12, 35], 'representative': 140, 'size': 2}
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id: 121604776
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 35, 'group_counter': 1937, 'group_order': 1600, 'label': '8A3', 'order': 8, 'powers': [12, 34], 'representative': 60, 'size': 2}
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id: 121604787
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 36, 'group_counter': 1937, 'group_order': 1600, 'label': '8A-3', 'order': 8, 'powers': [12, 33], 'representative': 100, 'size': 2}
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id: 121604798
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 37, 'group_counter': 1937, 'group_order': 1600, 'label': '8B1', 'order': 8, 'powers': [12, 40], 'representative': 22, 'size': 2}
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id: 121604809
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 38, 'group_counter': 1937, 'group_order': 1600, 'label': '8B-1', 'order': 8, 'powers': [12, 39], 'representative': 142, 'size': 2}
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id: 121604820
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 39, 'group_counter': 1937, 'group_order': 1600, 'label': '8B3', 'order': 8, 'powers': [12, 38], 'representative': 62, 'size': 2}
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id: 121604832
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 40, 'group_counter': 1937, 'group_order': 1600, 'label': '8B-3', 'order': 8, 'powers': [12, 37], 'representative': 102, 'size': 2}
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id: 121604843
{'aut_label': '10A1', 'centralizer': '2.b1', 'counter': 41, 'group_counter': 1937, 'group_order': 1600, 'label': '10A1', 'order': 10, 'powers': [21, 2], 'representative': 160, 'size': 2}
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id: 121604847
{'aut_label': '10A1', 'centralizer': '2.b1', 'counter': 42, 'group_counter': 1937, 'group_order': 1600, 'label': '10A3', 'order': 10, 'powers': [22, 2], 'representative': 480, 'size': 2}
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id: 121604848
{'aut_label': '10A1', 'centralizer': '2.b1', 'counter': 43, 'group_counter': 1937, 'group_order': 1600, 'label': '10B1', 'order': 10, 'powers': [23, 2], 'representative': 192, 'size': 2}
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id: 121604849
{'aut_label': '10A1', 'centralizer': '2.b1', 'counter': 44, 'group_counter': 1937, 'group_order': 1600, 'label': '10B3', 'order': 10, 'powers': [24, 2], 'representative': 576, 'size': 2}
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id: 121604850
{'aut_label': '10C1', 'centralizer': '2.b1', 'counter': 45, 'group_counter': 1937, 'group_order': 1600, 'label': '10C1', 'order': 10, 'powers': [25, 3], 'representative': 176, 'size': 2}
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id: 121604851
{'aut_label': '10C1', 'centralizer': '2.b1', 'counter': 46, 'group_counter': 1937, 'group_order': 1600, 'label': '10C3', 'order': 10, 'powers': [26, 3], 'representative': 528, 'size': 2}
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id: 121604852
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 47, 'group_counter': 1937, 'group_order': 1600, 'label': '10D1', 'order': 10, 'powers': [22, 4], 'representative': 322, 'size': 2}
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id: 121604853
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 48, 'group_counter': 1937, 'group_order': 1600, 'label': '10D3', 'order': 10, 'powers': [21, 4], 'representative': 642, 'size': 2}
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id: 121604854
{'aut_label': '10E1', 'centralizer': '2.b1', 'counter': 49, 'group_counter': 1937, 'group_order': 1600, 'label': '10E1', 'order': 10, 'powers': [21, 5], 'representative': 162, 'size': 2}
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id: 121604856
{'aut_label': '10E1', 'centralizer': '2.b1', 'counter': 50, 'group_counter': 1937, 'group_order': 1600, 'label': '10E3', 'order': 10, 'powers': [22, 5], 'representative': 482, 'size': 2}
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id: 121604857
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 51, 'group_counter': 1937, 'group_order': 1600, 'label': '10F1', 'order': 10, 'powers': [27, 4], 'representative': 34, 'size': 2}
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id: 121604858
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 52, 'group_counter': 1937, 'group_order': 1600, 'label': '10F3', 'order': 10, 'powers': [28, 4], 'representative': 66, 'size': 2}
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id: 121604859
{'aut_label': '10E1', 'centralizer': '2.b1', 'counter': 53, 'group_counter': 1937, 'group_order': 1600, 'label': '10G1', 'order': 10, 'powers': [28, 6], 'representative': 18, 'size': 2}
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id: 121604860
{'aut_label': '10E1', 'centralizer': '2.b1', 'counter': 54, 'group_counter': 1937, 'group_order': 1600, 'label': '10G3', 'order': 10, 'powers': [27, 6], 'representative': 50, 'size': 2}
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id: 121604861
{'aut_label': '10A1', 'centralizer': '2.b1', 'counter': 55, 'group_counter': 1937, 'group_order': 1600, 'label': '10H1', 'order': 10, 'powers': [29, 2], 'representative': 224, 'size': 2}
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id: 121604862
{'aut_label': '10A1', 'centralizer': '2.b1', 'counter': 56, 'group_counter': 1937, 'group_order': 1600, 'label': '10H3', 'order': 10, 'powers': [30, 2], 'representative': 512, 'size': 2}
-
id: 121604863
{'aut_label': '10A1', 'centralizer': '2.b1', 'counter': 57, 'group_counter': 1937, 'group_order': 1600, 'label': '10I1', 'order': 10, 'powers': [25, 2], 'representative': 256, 'size': 2}
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id: 121604864
{'aut_label': '10A1', 'centralizer': '2.b1', 'counter': 58, 'group_counter': 1937, 'group_order': 1600, 'label': '10I3', 'order': 10, 'powers': [26, 2], 'representative': 1152, 'size': 2}
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id: 121604865
{'aut_label': '10A1', 'centralizer': '2.b1', 'counter': 59, 'group_counter': 1937, 'group_order': 1600, 'label': '10J1', 'order': 10, 'powers': [31, 2], 'representative': 288, 'size': 2}
-
id: 121604867
{'aut_label': '10A1', 'centralizer': '2.b1', 'counter': 60, 'group_counter': 1937, 'group_order': 1600, 'label': '10J3', 'order': 10, 'powers': [32, 2], 'representative': 544, 'size': 2}
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id: 121604868
{'aut_label': '10C1', 'centralizer': '2.b1', 'counter': 61, 'group_counter': 1937, 'group_order': 1600, 'label': '10K1', 'order': 10, 'powers': [24, 3], 'representative': 496, 'size': 2}
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id: 121604869
{'aut_label': '10C1', 'centralizer': '2.b1', 'counter': 62, 'group_counter': 1937, 'group_order': 1600, 'label': '10K3', 'order': 10, 'powers': [23, 3], 'representative': 272, 'size': 2}
-
id: 121604870
{'aut_label': '10C1', 'centralizer': '2.b1', 'counter': 63, 'group_counter': 1937, 'group_order': 1600, 'label': '10L1', 'order': 10, 'powers': [31, 3], 'representative': 208, 'size': 2}
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id: 121604871
{'aut_label': '10C1', 'centralizer': '2.b1', 'counter': 64, 'group_counter': 1937, 'group_order': 1600, 'label': '10L3', 'order': 10, 'powers': [32, 3], 'representative': 1136, 'size': 2}
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id: 121604872
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 65, 'group_counter': 1937, 'group_order': 1600, 'label': '10M1', 'order': 10, 'powers': [26, 4], 'representative': 354, 'size': 2}
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id: 121604873
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 66, 'group_counter': 1937, 'group_order': 1600, 'label': '10M3', 'order': 10, 'powers': [25, 4], 'representative': 706, 'size': 2}
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id: 121604874
{'aut_label': '10E1', 'centralizer': '2.b1', 'counter': 67, 'group_counter': 1937, 'group_order': 1600, 'label': '10N1', 'order': 10, 'powers': [23, 5], 'representative': 194, 'size': 2}
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id: 121604875
{'aut_label': '10E1', 'centralizer': '2.b1', 'counter': 68, 'group_counter': 1937, 'group_order': 1600, 'label': '10N3', 'order': 10, 'powers': [24, 5], 'representative': 578, 'size': 2}
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id: 121604876
{'aut_label': '10E1', 'centralizer': '2.b1', 'counter': 69, 'group_counter': 1937, 'group_order': 1600, 'label': '10O1', 'order': 10, 'powers': [32, 6], 'representative': 338, 'size': 2}
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id: 121604878
{'aut_label': '10E1', 'centralizer': '2.b1', 'counter': 70, 'group_counter': 1937, 'group_order': 1600, 'label': '10O3', 'order': 10, 'powers': [31, 6], 'representative': 1010, 'size': 2}
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id: 121604879
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 71, 'group_counter': 1937, 'group_order': 1600, 'label': '10P1', 'order': 10, 'powers': [25, 7], 'representative': 178, 'size': 2}
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id: 121604880
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 72, 'group_counter': 1937, 'group_order': 1600, 'label': '10P3', 'order': 10, 'powers': [26, 7], 'representative': 530, 'size': 2}
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id: 121604881
{'aut_label': '10A1', 'centralizer': '2.b1', 'counter': 73, 'group_counter': 1937, 'group_order': 1600, 'label': '10Q1', 'order': 10, 'powers': [27, 2], 'representative': 832, 'size': 2}
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id: 121604882
{'aut_label': '10A1', 'centralizer': '2.b1', 'counter': 74, 'group_counter': 1937, 'group_order': 1600, 'label': '10Q3', 'order': 10, 'powers': [28, 2], 'representative': 864, 'size': 2}
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id: 121604883
{'aut_label': '10C1', 'centralizer': '2.b1', 'counter': 75, 'group_counter': 1937, 'group_order': 1600, 'label': '10R1', 'order': 10, 'powers': [28, 3], 'representative': 816, 'size': 2}
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id: 121604884
{'aut_label': '10C1', 'centralizer': '2.b1', 'counter': 76, 'group_counter': 1937, 'group_order': 1600, 'label': '10R3', 'order': 10, 'powers': [27, 3], 'representative': 848, 'size': 2}
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id: 121604885
{'aut_label': '10C1', 'centralizer': '2.b1', 'counter': 77, 'group_counter': 1937, 'group_order': 1600, 'label': '10S1', 'order': 10, 'powers': [21, 3], 'representative': 240, 'size': 2}
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id: 121604886
{'aut_label': '10C1', 'centralizer': '2.b1', 'counter': 78, 'group_counter': 1937, 'group_order': 1600, 'label': '10S3', 'order': 10, 'powers': [22, 3], 'representative': 560, 'size': 2}
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id: 121604887
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 79, 'group_counter': 1937, 'group_order': 1600, 'label': '10T1', 'order': 10, 'powers': [31, 4], 'representative': 674, 'size': 2}
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id: 121604889
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 80, 'group_counter': 1937, 'group_order': 1600, 'label': '10T3', 'order': 10, 'powers': [32, 4], 'representative': 418, 'size': 2}
-
id: 121604890
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 81, 'group_counter': 1937, 'group_order': 1600, 'label': '10U1', 'order': 10, 'powers': [24, 4], 'representative': 386, 'size': 2}
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id: 121604891
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 82, 'group_counter': 1937, 'group_order': 1600, 'label': '10U3', 'order': 10, 'powers': [23, 4], 'representative': 994, 'size': 2}
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id: 121604892
{'aut_label': '10E1', 'centralizer': '2.b1', 'counter': 83, 'group_counter': 1937, 'group_order': 1600, 'label': '10V1', 'order': 10, 'powers': [29, 5], 'representative': 226, 'size': 2}
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id: 121604893
{'aut_label': '10E1', 'centralizer': '2.b1', 'counter': 84, 'group_counter': 1937, 'group_order': 1600, 'label': '10V3', 'order': 10, 'powers': [30, 5], 'representative': 514, 'size': 2}
-
id: 121604894
{'aut_label': '10E1', 'centralizer': '2.b1', 'counter': 85, 'group_counter': 1937, 'group_order': 1600, 'label': '10W1', 'order': 10, 'powers': [29, 6], 'representative': 658, 'size': 2}
-
id: 121604895
{'aut_label': '10E1', 'centralizer': '2.b1', 'counter': 86, 'group_counter': 1937, 'group_order': 1600, 'label': '10W3', 'order': 10, 'powers': [30, 6], 'representative': 370, 'size': 2}
-
id: 121604896
{'aut_label': '10E1', 'centralizer': '2.b1', 'counter': 87, 'group_counter': 1937, 'group_order': 1600, 'label': '10X1', 'order': 10, 'powers': [25, 5], 'representative': 258, 'size': 2}
-
id: 121604897
{'aut_label': '10E1', 'centralizer': '2.b1', 'counter': 88, 'group_counter': 1937, 'group_order': 1600, 'label': '10X3', 'order': 10, 'powers': [26, 5], 'representative': 1154, 'size': 2}
-
id: 121604898
{'aut_label': '10E1', 'centralizer': '2.b1', 'counter': 89, 'group_counter': 1937, 'group_order': 1600, 'label': '10Y1', 'order': 10, 'powers': [25, 6], 'representative': 978, 'size': 2}
-
id: 121604900
{'aut_label': '10E1', 'centralizer': '2.b1', 'counter': 90, 'group_counter': 1937, 'group_order': 1600, 'label': '10Y3', 'order': 10, 'powers': [26, 6], 'representative': 434, 'size': 2}
-
id: 121604901
{'aut_label': '10C1', 'centralizer': '2.b1', 'counter': 91, 'group_counter': 1937, 'group_order': 1600, 'label': '10Z1', 'order': 10, 'powers': [29, 3], 'representative': 1456, 'size': 2}
-
id: 121604902
{'aut_label': '10C1', 'centralizer': '2.b1', 'counter': 92, 'group_counter': 1937, 'group_order': 1600, 'label': '10Z3', 'order': 10, 'powers': [30, 3], 'representative': 1168, 'size': 2}
-
id: 121604903
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 93, 'group_counter': 1937, 'group_order': 1600, 'label': '10AA1', 'order': 10, 'powers': [30, 4], 'representative': 1314, 'size': 2}
-
id: 121604904
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 94, 'group_counter': 1937, 'group_order': 1600, 'label': '10AA3', 'order': 10, 'powers': [29, 4], 'representative': 1026, 'size': 2}
-
id: 121604905
{'aut_label': '10E1', 'centralizer': '2.b1', 'counter': 95, 'group_counter': 1937, 'group_order': 1600, 'label': '10AB1', 'order': 10, 'powers': [31, 5], 'representative': 290, 'size': 2}
-
id: 121604906
{'aut_label': '10E1', 'centralizer': '2.b1', 'counter': 96, 'group_counter': 1937, 'group_order': 1600, 'label': '10AB3', 'order': 10, 'powers': [32, 5], 'representative': 546, 'size': 2}
-
id: 121604907
{'aut_label': '10E1', 'centralizer': '2.b1', 'counter': 97, 'group_counter': 1937, 'group_order': 1600, 'label': '10AC1', 'order': 10, 'powers': [24, 6], 'representative': 1298, 'size': 2}
-
id: 121604908
{'aut_label': '10E1', 'centralizer': '2.b1', 'counter': 98, 'group_counter': 1937, 'group_order': 1600, 'label': '10AC3', 'order': 10, 'powers': [23, 6], 'representative': 690, 'size': 2}
-
id: 121604909
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 99, 'group_counter': 1937, 'group_order': 1600, 'label': '10AD1', 'order': 10, 'powers': [24, 7], 'representative': 498, 'size': 2}
-
id: 121604500
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 100, 'group_counter': 1937, 'group_order': 1600, 'label': '10AD3', 'order': 10, 'powers': [23, 7], 'representative': 274, 'size': 2}
-
id: 121604501
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 101, 'group_counter': 1937, 'group_order': 1600, 'label': '10AE1', 'order': 10, 'powers': [31, 7], 'representative': 210, 'size': 2}
-
id: 121604502
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 102, 'group_counter': 1937, 'group_order': 1600, 'label': '10AE3', 'order': 10, 'powers': [32, 7], 'representative': 1138, 'size': 2}
-
id: 121604503
{'aut_label': '10E1', 'centralizer': '2.b1', 'counter': 103, 'group_counter': 1937, 'group_order': 1600, 'label': '10AF1', 'order': 10, 'powers': [27, 5], 'representative': 834, 'size': 2}
-
id: 121604504
{'aut_label': '10E1', 'centralizer': '2.b1', 'counter': 104, 'group_counter': 1937, 'group_order': 1600, 'label': '10AF3', 'order': 10, 'powers': [28, 5], 'representative': 866, 'size': 2}
-
id: 121604505
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 105, 'group_counter': 1937, 'group_order': 1600, 'label': '10AG1', 'order': 10, 'powers': [28, 7], 'representative': 818, 'size': 2}
-
id: 121604506
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 106, 'group_counter': 1937, 'group_order': 1600, 'label': '10AG3', 'order': 10, 'powers': [27, 7], 'representative': 850, 'size': 2}
-
id: 121604507
{'aut_label': '10E1', 'centralizer': '2.b1', 'counter': 107, 'group_counter': 1937, 'group_order': 1600, 'label': '10AH1', 'order': 10, 'powers': [22, 6], 'representative': 402, 'size': 2}
-
id: 121604508
{'aut_label': '10E1', 'centralizer': '2.b1', 'counter': 108, 'group_counter': 1937, 'group_order': 1600, 'label': '10AH3', 'order': 10, 'powers': [21, 6], 'representative': 722, 'size': 2}
-
id: 121604509
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 109, 'group_counter': 1937, 'group_order': 1600, 'label': '10AI1', 'order': 10, 'powers': [21, 7], 'representative': 242, 'size': 2}
-
id: 121604511
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 110, 'group_counter': 1937, 'group_order': 1600, 'label': '10AI3', 'order': 10, 'powers': [22, 7], 'representative': 562, 'size': 2}
-
id: 121604512
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 111, 'group_counter': 1937, 'group_order': 1600, 'label': '10AJ1', 'order': 10, 'powers': [29, 7], 'representative': 1458, 'size': 2}
-
id: 121604513
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 112, 'group_counter': 1937, 'group_order': 1600, 'label': '10AJ3', 'order': 10, 'powers': [30, 7], 'representative': 1170, 'size': 2}
-
id: 121604514
{'aut_label': '10AK1', 'centralizer': '2.b1', 'counter': 113, 'group_counter': 1937, 'group_order': 1600, 'label': '10AK1', 'order': 10, 'powers': [32, 8], 'representative': 336, 'size': 2}
-
id: 121604515
{'aut_label': '10AK1', 'centralizer': '2.b1', 'counter': 114, 'group_counter': 1937, 'group_order': 1600, 'label': '10AK3', 'order': 10, 'powers': [31, 8], 'representative': 1008, 'size': 2}
-
id: 121604516
{'aut_label': '10AK1', 'centralizer': '2.b1', 'counter': 115, 'group_counter': 1937, 'group_order': 1600, 'label': '10AL1', 'order': 10, 'powers': [28, 8], 'representative': 16, 'size': 2}
-
id: 121604517
{'aut_label': '10AK1', 'centralizer': '2.b1', 'counter': 116, 'group_counter': 1937, 'group_order': 1600, 'label': '10AL3', 'order': 10, 'powers': [27, 8], 'representative': 48, 'size': 2}
-
id: 121604518
{'aut_label': '10AK1', 'centralizer': '2.b1', 'counter': 117, 'group_counter': 1937, 'group_order': 1600, 'label': '10AM1', 'order': 10, 'powers': [25, 8], 'representative': 976, 'size': 2}
-
id: 121604519
{'aut_label': '10AK1', 'centralizer': '2.b1', 'counter': 118, 'group_counter': 1937, 'group_order': 1600, 'label': '10AM3', 'order': 10, 'powers': [26, 8], 'representative': 1328, 'size': 2}
-
id: 121604520
{'aut_label': '10AK1', 'centralizer': '2.b1', 'counter': 119, 'group_counter': 1937, 'group_order': 1600, 'label': '10AN1', 'order': 10, 'powers': [22, 8], 'representative': 400, 'size': 2}
-
id: 121604522
{'aut_label': '10AK1', 'centralizer': '2.b1', 'counter': 120, 'group_counter': 1937, 'group_order': 1600, 'label': '10AN3', 'order': 10, 'powers': [21, 8], 'representative': 1040, 'size': 2}
-
id: 121604523
{'aut_label': '10AK1', 'centralizer': '2.b1', 'counter': 121, 'group_counter': 1937, 'group_order': 1600, 'label': '10AO1', 'order': 10, 'powers': [30, 8], 'representative': 368, 'size': 2}
-
id: 121604524
{'aut_label': '10AK1', 'centralizer': '2.b1', 'counter': 122, 'group_counter': 1937, 'group_order': 1600, 'label': '10AO3', 'order': 10, 'powers': [29, 8], 'representative': 1104, 'size': 2}
-
id: 121604525
{'aut_label': '10AK1', 'centralizer': '2.b1', 'counter': 123, 'group_counter': 1937, 'group_order': 1600, 'label': '10AP1', 'order': 10, 'powers': [24, 8], 'representative': 464, 'size': 2}
-
id: 121604526
{'aut_label': '10AK1', 'centralizer': '2.b1', 'counter': 124, 'group_counter': 1937, 'group_order': 1600, 'label': '10AP3', 'order': 10, 'powers': [23, 8], 'representative': 1072, 'size': 2}
-
id: 121604527
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 125, 'group_counter': 1937, 'group_order': 1600, 'label': '20A1', 'order': 20, 'powers': [113, 9], 'representative': 168, 'size': 2}
-
id: 121604528
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 126, 'group_counter': 1937, 'group_order': 1600, 'label': '20A3', 'order': 20, 'powers': [114, 9], 'representative': 504, 'size': 2}
-
id: 121604529
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 127, 'group_counter': 1937, 'group_order': 1600, 'label': '20A7', 'order': 20, 'powers': [114, 9], 'representative': 584, 'size': 2}
-
id: 121604530
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 128, 'group_counter': 1937, 'group_order': 1600, 'label': '20A9', 'order': 20, 'powers': [113, 9], 'representative': 248, 'size': 2}
-
id: 121604531
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 129, 'group_counter': 1937, 'group_order': 1600, 'label': '20B1', 'order': 20, 'powers': [115, 10], 'representative': 10, 'size': 2}
-
id: 121604533
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 130, 'group_counter': 1937, 'group_order': 1600, 'label': '20B3', 'order': 20, 'powers': [116, 10], 'representative': 26, 'size': 2}
-
id: 121604534
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 131, 'group_counter': 1937, 'group_order': 1600, 'label': '20B7', 'order': 20, 'powers': [116, 10], 'representative': 106, 'size': 2}
-
id: 121604535
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 132, 'group_counter': 1937, 'group_order': 1600, 'label': '20B9', 'order': 20, 'powers': [115, 10], 'representative': 74, 'size': 2}
-
id: 121604536
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 133, 'group_counter': 1937, 'group_order': 1600, 'label': '20C1', 'order': 20, 'powers': [117, 9], 'representative': 488, 'size': 2}
-
id: 121604537
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 134, 'group_counter': 1937, 'group_order': 1600, 'label': '20C3', 'order': 20, 'powers': [118, 9], 'representative': 296, 'size': 2}
-
id: 121604538
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 135, 'group_counter': 1937, 'group_order': 1600, 'label': '20C7', 'order': 20, 'powers': [118, 9], 'representative': 216, 'size': 2}
-
id: 121604539
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 136, 'group_counter': 1937, 'group_order': 1600, 'label': '20C9', 'order': 20, 'powers': [117, 9], 'representative': 1192, 'size': 2}
-
id: 121604540
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 137, 'group_counter': 1937, 'group_order': 1600, 'label': '20D1', 'order': 20, 'powers': [119, 9], 'representative': 200, 'size': 2}
-
id: 121604541
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 138, 'group_counter': 1937, 'group_order': 1600, 'label': '20D3', 'order': 20, 'powers': [120, 9], 'representative': 1160, 'size': 2}
-
id: 121604542
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 139, 'group_counter': 1937, 'group_order': 1600, 'label': '20D7', 'order': 20, 'powers': [120, 9], 'representative': 520, 'size': 2}
-
id: 121604544
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 140, 'group_counter': 1937, 'group_order': 1600, 'label': '20D9', 'order': 20, 'powers': [119, 9], 'representative': 280, 'size': 2}
-
id: 121604545
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 141, 'group_counter': 1937, 'group_order': 1600, 'label': '20E1', 'order': 20, 'powers': [121, 9], 'representative': 184, 'size': 2}
-
id: 121604546
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 142, 'group_counter': 1937, 'group_order': 1600, 'label': '20E3', 'order': 20, 'powers': [122, 9], 'representative': 552, 'size': 2}
-
id: 121604547
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 143, 'group_counter': 1937, 'group_order': 1600, 'label': '20E7', 'order': 20, 'powers': [122, 9], 'representative': 1128, 'size': 2}
-
id: 121604548
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 144, 'group_counter': 1937, 'group_order': 1600, 'label': '20E9', 'order': 20, 'powers': [121, 9], 'representative': 264, 'size': 2}
-
id: 121604549
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 145, 'group_counter': 1937, 'group_order': 1600, 'label': '20F1', 'order': 20, 'powers': [122, 10], 'representative': 330, 'size': 2}
-
id: 121604550
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 146, 'group_counter': 1937, 'group_order': 1600, 'label': '20F3', 'order': 20, 'powers': [121, 10], 'representative': 986, 'size': 2}
-
id: 121604551
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 147, 'group_counter': 1937, 'group_order': 1600, 'label': '20F7', 'order': 20, 'powers': [121, 10], 'representative': 1066, 'size': 2}
-
id: 121604552
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 148, 'group_counter': 1937, 'group_order': 1600, 'label': '20F9', 'order': 20, 'powers': [122, 10], 'representative': 1354, 'size': 2}
-
id: 121604553
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 149, 'group_counter': 1937, 'group_order': 1600, 'label': '20G1', 'order': 20, 'powers': [113, 11], 'representative': 170, 'size': 2}
-
id: 121604555
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 150, 'group_counter': 1937, 'group_order': 1600, 'label': '20G3', 'order': 20, 'powers': [114, 11], 'representative': 506, 'size': 2}
-
id: 121604556
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 151, 'group_counter': 1937, 'group_order': 1600, 'label': '20G7', 'order': 20, 'powers': [114, 11], 'representative': 586, 'size': 2}
-
id: 121604557
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 152, 'group_counter': 1937, 'group_order': 1600, 'label': '20G9', 'order': 20, 'powers': [113, 11], 'representative': 250, 'size': 2}
-
id: 121604558
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 153, 'group_counter': 1937, 'group_order': 1600, 'label': '20H1', 'order': 20, 'powers': [115, 9], 'representative': 808, 'size': 2}
-
id: 121604559
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 154, 'group_counter': 1937, 'group_order': 1600, 'label': '20H3', 'order': 20, 'powers': [116, 9], 'representative': 824, 'size': 2}
-
id: 121604560
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 155, 'group_counter': 1937, 'group_order': 1600, 'label': '20H7', 'order': 20, 'powers': [116, 9], 'representative': 904, 'size': 2}
-
id: 121604561
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 156, 'group_counter': 1937, 'group_order': 1600, 'label': '20H9', 'order': 20, 'powers': [115, 9], 'representative': 872, 'size': 2}
-
id: 121604562
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 157, 'group_counter': 1937, 'group_order': 1600, 'label': '20I1', 'order': 20, 'powers': [123, 9], 'representative': 232, 'size': 2}
-
id: 121604563
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 158, 'group_counter': 1937, 'group_order': 1600, 'label': '20I3', 'order': 20, 'powers': [124, 9], 'representative': 1224, 'size': 2}
-
id: 121604564
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 159, 'group_counter': 1937, 'group_order': 1600, 'label': '20I7', 'order': 20, 'powers': [124, 9], 'representative': 1144, 'size': 2}
-
id: 121604566
{'aut_label': '20A1', 'centralizer': '2.b1', 'counter': 160, 'group_counter': 1937, 'group_order': 1600, 'label': '20I9', 'order': 20, 'powers': [123, 9], 'representative': 1448, 'size': 2}
-
id: 121604567
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 161, 'group_counter': 1937, 'group_order': 1600, 'label': '20J1', 'order': 20, 'powers': [123, 10], 'representative': 650, 'size': 2}
-
id: 121604568
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 162, 'group_counter': 1937, 'group_order': 1600, 'label': '20J3', 'order': 20, 'powers': [124, 10], 'representative': 346, 'size': 2}
-
id: 121604569
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 163, 'group_counter': 1937, 'group_order': 1600, 'label': '20J7', 'order': 20, 'powers': [124, 10], 'representative': 426, 'size': 2}
-
id: 121604570
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 164, 'group_counter': 1937, 'group_order': 1600, 'label': '20J9', 'order': 20, 'powers': [123, 10], 'representative': 1034, 'size': 2}
-
id: 121604571
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 165, 'group_counter': 1937, 'group_order': 1600, 'label': '20K1', 'order': 20, 'powers': [113, 10], 'representative': 970, 'size': 2}
-
id: 121604572
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 166, 'group_counter': 1937, 'group_order': 1600, 'label': '20K3', 'order': 20, 'powers': [114, 10], 'representative': 458, 'size': 2}
-
id: 121604573
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 167, 'group_counter': 1937, 'group_order': 1600, 'label': '20K7', 'order': 20, 'powers': [114, 10], 'representative': 1386, 'size': 2}
-
id: 121604574
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 168, 'group_counter': 1937, 'group_order': 1600, 'label': '20K9', 'order': 20, 'powers': [113, 10], 'representative': 714, 'size': 2}
-
id: 121604575
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 169, 'group_counter': 1937, 'group_order': 1600, 'label': '20L1', 'order': 20, 'powers': [117, 10], 'representative': 1290, 'size': 2}
-
id: 121604577
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 170, 'group_counter': 1937, 'group_order': 1600, 'label': '20L3', 'order': 20, 'powers': [118, 10], 'representative': 666, 'size': 2}
-
id: 121604578
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 171, 'group_counter': 1937, 'group_order': 1600, 'label': '20L7', 'order': 20, 'powers': [118, 10], 'representative': 746, 'size': 2}
-
id: 121604579
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 172, 'group_counter': 1937, 'group_order': 1600, 'label': '20L9', 'order': 20, 'powers': [117, 10], 'representative': 394, 'size': 2}
-
id: 121604580
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 173, 'group_counter': 1937, 'group_order': 1600, 'label': '20M1', 'order': 20, 'powers': [117, 11], 'representative': 490, 'size': 2}
-
id: 121604581
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 174, 'group_counter': 1937, 'group_order': 1600, 'label': '20M3', 'order': 20, 'powers': [118, 11], 'representative': 298, 'size': 2}
-
id: 121604582
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 175, 'group_counter': 1937, 'group_order': 1600, 'label': '20M7', 'order': 20, 'powers': [118, 11], 'representative': 218, 'size': 2}
-
id: 121604583
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 176, 'group_counter': 1937, 'group_order': 1600, 'label': '20M9', 'order': 20, 'powers': [117, 11], 'representative': 1194, 'size': 2}
-
id: 121604584
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 177, 'group_counter': 1937, 'group_order': 1600, 'label': '20N1', 'order': 20, 'powers': [120, 10], 'representative': 362, 'size': 2}
-
id: 121604585
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 178, 'group_counter': 1937, 'group_order': 1600, 'label': '20N3', 'order': 20, 'powers': [119, 10], 'representative': 682, 'size': 2}
-
id: 121604586
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 179, 'group_counter': 1937, 'group_order': 1600, 'label': '20N7', 'order': 20, 'powers': [119, 10], 'representative': 1002, 'size': 2}
-
id: 121604588
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 180, 'group_counter': 1937, 'group_order': 1600, 'label': '20N9', 'order': 20, 'powers': [120, 10], 'representative': 1322, 'size': 2}
-
id: 121604589
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 181, 'group_counter': 1937, 'group_order': 1600, 'label': '20O1', 'order': 20, 'powers': [119, 11], 'representative': 202, 'size': 2}
-
id: 121604590
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 182, 'group_counter': 1937, 'group_order': 1600, 'label': '20O3', 'order': 20, 'powers': [120, 11], 'representative': 1162, 'size': 2}
-
id: 121604591
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 183, 'group_counter': 1937, 'group_order': 1600, 'label': '20O7', 'order': 20, 'powers': [120, 11], 'representative': 522, 'size': 2}
-
id: 121604592
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 184, 'group_counter': 1937, 'group_order': 1600, 'label': '20O9', 'order': 20, 'powers': [119, 11], 'representative': 282, 'size': 2}
-
id: 121604593
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 185, 'group_counter': 1937, 'group_order': 1600, 'label': '20P1', 'order': 20, 'powers': [121, 11], 'representative': 186, 'size': 2}
-
id: 121604594
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 186, 'group_counter': 1937, 'group_order': 1600, 'label': '20P3', 'order': 20, 'powers': [122, 11], 'representative': 554, 'size': 2}
-
id: 121604595
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 187, 'group_counter': 1937, 'group_order': 1600, 'label': '20P7', 'order': 20, 'powers': [122, 11], 'representative': 1130, 'size': 2}
-
id: 121604596
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 188, 'group_counter': 1937, 'group_order': 1600, 'label': '20P9', 'order': 20, 'powers': [121, 11], 'representative': 266, 'size': 2}
-
id: 121604597
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 189, 'group_counter': 1937, 'group_order': 1600, 'label': '20Q1', 'order': 20, 'powers': [115, 11], 'representative': 810, 'size': 2}
-
id: 121604599
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 190, 'group_counter': 1937, 'group_order': 1600, 'label': '20Q3', 'order': 20, 'powers': [116, 11], 'representative': 826, 'size': 2}
-
id: 121604600
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 191, 'group_counter': 1937, 'group_order': 1600, 'label': '20Q7', 'order': 20, 'powers': [116, 11], 'representative': 906, 'size': 2}
-
id: 121604601
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 192, 'group_counter': 1937, 'group_order': 1600, 'label': '20Q9', 'order': 20, 'powers': [115, 11], 'representative': 874, 'size': 2}
-
id: 121604602
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 193, 'group_counter': 1937, 'group_order': 1600, 'label': '20R1', 'order': 20, 'powers': [123, 11], 'representative': 234, 'size': 2}
-
id: 121604603
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 194, 'group_counter': 1937, 'group_order': 1600, 'label': '20R3', 'order': 20, 'powers': [124, 11], 'representative': 1226, 'size': 2}
-
id: 121604604
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 195, 'group_counter': 1937, 'group_order': 1600, 'label': '20R7', 'order': 20, 'powers': [124, 11], 'representative': 1146, 'size': 2}
-
id: 121604605
{'aut_label': '20B1', 'centralizer': '2.b1', 'counter': 196, 'group_counter': 1937, 'group_order': 1600, 'label': '20R9', 'order': 20, 'powers': [123, 11], 'representative': 1450, 'size': 2}
-
id: 121604606
{'aut_label': '20S1', 'centralizer': '2.b1', 'counter': 197, 'group_counter': 1937, 'group_order': 1600, 'label': '20S1', 'order': 20, 'powers': [115, 12], 'representative': 8, 'size': 2}
-
id: 121604607
{'aut_label': '20S1', 'centralizer': '2.b1', 'counter': 198, 'group_counter': 1937, 'group_order': 1600, 'label': '20S3', 'order': 20, 'powers': [116, 12], 'representative': 24, 'size': 2}
-
id: 121604608
{'aut_label': '20S1', 'centralizer': '2.b1', 'counter': 199, 'group_counter': 1937, 'group_order': 1600, 'label': '20S7', 'order': 20, 'powers': [116, 12], 'representative': 56, 'size': 2}
-
id: 121604611
{'aut_label': '20S1', 'centralizer': '2.b1', 'counter': 200, 'group_counter': 1937, 'group_order': 1600, 'label': '20S9', 'order': 20, 'powers': [115, 12], 'representative': 72, 'size': 2}
-
id: 121604612
{'aut_label': '20S1', 'centralizer': '2.b1', 'counter': 201, 'group_counter': 1937, 'group_order': 1600, 'label': '20T1', 'order': 20, 'powers': [123, 12], 'representative': 648, 'size': 2}
-
id: 121604613
{'aut_label': '20S1', 'centralizer': '2.b1', 'counter': 202, 'group_counter': 1937, 'group_order': 1600, 'label': '20T3', 'order': 20, 'powers': [124, 12], 'representative': 344, 'size': 2}
-
id: 121604614
{'aut_label': '20S1', 'centralizer': '2.b1', 'counter': 203, 'group_counter': 1937, 'group_order': 1600, 'label': '20T7', 'order': 20, 'powers': [124, 12], 'representative': 1336, 'size': 2}
-
id: 121604615
{'aut_label': '20S1', 'centralizer': '2.b1', 'counter': 204, 'group_counter': 1937, 'group_order': 1600, 'label': '20T9', 'order': 20, 'powers': [123, 12], 'representative': 1032, 'size': 2}
-
id: 121604616
{'aut_label': '20S1', 'centralizer': '2.b1', 'counter': 205, 'group_counter': 1937, 'group_order': 1600, 'label': '20U1', 'order': 20, 'powers': [122, 12], 'representative': 328, 'size': 2}
-
id: 121604617
{'aut_label': '20S1', 'centralizer': '2.b1', 'counter': 206, 'group_counter': 1937, 'group_order': 1600, 'label': '20U3', 'order': 20, 'powers': [121, 12], 'representative': 984, 'size': 2}
-
id: 121604618
{'aut_label': '20S1', 'centralizer': '2.b1', 'counter': 207, 'group_counter': 1937, 'group_order': 1600, 'label': '20U7', 'order': 20, 'powers': [121, 12], 'representative': 696, 'size': 2}
-
id: 121604619
{'aut_label': '20S1', 'centralizer': '2.b1', 'counter': 208, 'group_counter': 1937, 'group_order': 1600, 'label': '20U9', 'order': 20, 'powers': [122, 12], 'representative': 1352, 'size': 2}
-
id: 121604620
{'aut_label': '20S1', 'centralizer': '2.b1', 'counter': 209, 'group_counter': 1937, 'group_order': 1600, 'label': '20V1', 'order': 20, 'powers': [117, 12], 'representative': 1288, 'size': 2}
-
id: 121604622
{'aut_label': '20S1', 'centralizer': '2.b1', 'counter': 210, 'group_counter': 1937, 'group_order': 1600, 'label': '20V3', 'order': 20, 'powers': [118, 12], 'representative': 664, 'size': 2}
-
id: 121604623
{'aut_label': '20S1', 'centralizer': '2.b1', 'counter': 211, 'group_counter': 1937, 'group_order': 1600, 'label': '20V7', 'order': 20, 'powers': [118, 12], 'representative': 1016, 'size': 2}
-
id: 121604624
{'aut_label': '20S1', 'centralizer': '2.b1', 'counter': 212, 'group_counter': 1937, 'group_order': 1600, 'label': '20V9', 'order': 20, 'powers': [117, 12], 'representative': 392, 'size': 2}
-
id: 121604625
{'aut_label': '20S1', 'centralizer': '2.b1', 'counter': 213, 'group_counter': 1937, 'group_order': 1600, 'label': '20W1', 'order': 20, 'powers': [113, 12], 'representative': 968, 'size': 2}
-
id: 121604626
{'aut_label': '20S1', 'centralizer': '2.b1', 'counter': 214, 'group_counter': 1937, 'group_order': 1600, 'label': '20W3', 'order': 20, 'powers': [114, 12], 'representative': 1304, 'size': 2}
-
id: 121604627
{'aut_label': '20S1', 'centralizer': '2.b1', 'counter': 215, 'group_counter': 1937, 'group_order': 1600, 'label': '20W7', 'order': 20, 'powers': [114, 12], 'representative': 376, 'size': 2}
-
id: 121604628
{'aut_label': '20S1', 'centralizer': '2.b1', 'counter': 216, 'group_counter': 1937, 'group_order': 1600, 'label': '20W9', 'order': 20, 'powers': [113, 12], 'representative': 712, 'size': 2}
-
id: 121604629
{'aut_label': '20S1', 'centralizer': '2.b1', 'counter': 217, 'group_counter': 1937, 'group_order': 1600, 'label': '20X1', 'order': 20, 'powers': [119, 12], 'representative': 680, 'size': 2}
-
id: 121604630
{'aut_label': '20S1', 'centralizer': '2.b1', 'counter': 218, 'group_counter': 1937, 'group_order': 1600, 'label': '20X3', 'order': 20, 'powers': [120, 12], 'representative': 440, 'size': 2}
-
id: 121604631
{'aut_label': '20S1', 'centralizer': '2.b1', 'counter': 219, 'group_counter': 1937, 'group_order': 1600, 'label': '20X7', 'order': 20, 'powers': [120, 12], 'representative': 1400, 'size': 2}
-
id: 121604633
{'aut_label': '20S1', 'centralizer': '2.b1', 'counter': 220, 'group_counter': 1937, 'group_order': 1600, 'label': '20X9', 'order': 20, 'powers': [119, 12], 'representative': 1000, 'size': 2}
-
id: 121604634
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 221, 'group_counter': 1937, 'group_order': 1600, 'label': '40A1', 'order': 40, 'powers': [197, 33], 'representative': 4, 'size': 2}
-
id: 121604635
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 222, 'group_counter': 1937, 'group_order': 1600, 'label': '40A-1', 'order': 40, 'powers': [197, 34], 'representative': 156, 'size': 2}
-
id: 121604636
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 223, 'group_counter': 1937, 'group_order': 1600, 'label': '40A3', 'order': 40, 'powers': [198, 35], 'representative': 12, 'size': 2}
-
id: 121604637
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 224, 'group_counter': 1937, 'group_order': 1600, 'label': '40A-3', 'order': 40, 'powers': [198, 36], 'representative': 148, 'size': 2}
-
id: 121604638
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 225, 'group_counter': 1937, 'group_order': 1600, 'label': '40A7', 'order': 40, 'powers': [199, 34], 'representative': 28, 'size': 2}
-
id: 121604639
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 226, 'group_counter': 1937, 'group_order': 1600, 'label': '40A-7', 'order': 40, 'powers': [199, 33], 'representative': 132, 'size': 2}
-
id: 121604640
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 227, 'group_counter': 1937, 'group_order': 1600, 'label': '40A9', 'order': 40, 'powers': [200, 33], 'representative': 36, 'size': 2}
-
id: 121604641
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 228, 'group_counter': 1937, 'group_order': 1600, 'label': '40A-9', 'order': 40, 'powers': [200, 34], 'representative': 124, 'size': 2}
-
id: 121604642
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 229, 'group_counter': 1937, 'group_order': 1600, 'label': '40A11', 'order': 40, 'powers': [200, 35], 'representative': 44, 'size': 2}
-
id: 121604644
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 230, 'group_counter': 1937, 'group_order': 1600, 'label': '40A-11', 'order': 40, 'powers': [200, 36], 'representative': 116, 'size': 2}
-
id: 121604645
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 231, 'group_counter': 1937, 'group_order': 1600, 'label': '40A13', 'order': 40, 'powers': [199, 36], 'representative': 52, 'size': 2}
-
id: 121604646
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 232, 'group_counter': 1937, 'group_order': 1600, 'label': '40A-13', 'order': 40, 'powers': [199, 35], 'representative': 108, 'size': 2}
-
id: 121604647
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 233, 'group_counter': 1937, 'group_order': 1600, 'label': '40A17', 'order': 40, 'powers': [198, 33], 'representative': 68, 'size': 2}
-
id: 121604648
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 234, 'group_counter': 1937, 'group_order': 1600, 'label': '40A-17', 'order': 40, 'powers': [198, 34], 'representative': 92, 'size': 2}
-
id: 121604649
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 235, 'group_counter': 1937, 'group_order': 1600, 'label': '40A19', 'order': 40, 'powers': [197, 35], 'representative': 804, 'size': 2}
-
id: 121604650
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 236, 'group_counter': 1937, 'group_order': 1600, 'label': '40A-19', 'order': 40, 'powers': [197, 36], 'representative': 84, 'size': 2}
-
id: 121604651
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 237, 'group_counter': 1937, 'group_order': 1600, 'label': '40B1', 'order': 40, 'powers': [201, 33], 'representative': 324, 'size': 2}
-
id: 121604652
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 238, 'group_counter': 1937, 'group_order': 1600, 'label': '40B-1', 'order': 40, 'powers': [201, 34], 'representative': 1204, 'size': 2}
-
id: 121604653
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 239, 'group_counter': 1937, 'group_order': 1600, 'label': '40B3', 'order': 40, 'powers': [202, 35], 'representative': 972, 'size': 2}
-
id: 121604655
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 240, 'group_counter': 1937, 'group_order': 1600, 'label': '40B-3', 'order': 40, 'powers': [202, 36], 'representative': 788, 'size': 2}
-
id: 121604656
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 241, 'group_counter': 1937, 'group_order': 1600, 'label': '40B7', 'order': 40, 'powers': [203, 34], 'representative': 212, 'size': 2}
-
id: 121604657
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 242, 'group_counter': 1937, 'group_order': 1600, 'label': '40B-7', 'order': 40, 'powers': [203, 33], 'representative': 1092, 'size': 2}
-
id: 121604658
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 243, 'group_counter': 1937, 'group_order': 1600, 'label': '40B9', 'order': 40, 'powers': [204, 33], 'representative': 1316, 'size': 2}
-
id: 121604659
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 244, 'group_counter': 1937, 'group_order': 1600, 'label': '40B-9', 'order': 40, 'powers': [204, 34], 'representative': 596, 'size': 2}
-
id: 121604660
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 245, 'group_counter': 1937, 'group_order': 1600, 'label': '40B11', 'order': 40, 'powers': [204, 35], 'representative': 516, 'size': 2}
-
id: 121604661
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 246, 'group_counter': 1937, 'group_order': 1600, 'label': '40B-11', 'order': 40, 'powers': [204, 36], 'representative': 1396, 'size': 2}
-
id: 121604662
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 247, 'group_counter': 1937, 'group_order': 1600, 'label': '40B13', 'order': 40, 'powers': [203, 36], 'representative': 1012, 'size': 2}
-
id: 121604663
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 248, 'group_counter': 1937, 'group_order': 1600, 'label': '40B-13', 'order': 40, 'powers': [203, 35], 'representative': 292, 'size': 2}
-
id: 121604664
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 249, 'group_counter': 1937, 'group_order': 1600, 'label': '40B17', 'order': 40, 'powers': [202, 33], 'representative': 172, 'size': 2}
-
id: 121604666
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 250, 'group_counter': 1937, 'group_order': 1600, 'label': '40B-17', 'order': 40, 'powers': [202, 34], 'representative': 1052, 'size': 2}
-
id: 121604667
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 251, 'group_counter': 1937, 'group_order': 1600, 'label': '40B19', 'order': 40, 'powers': [201, 35], 'representative': 1124, 'size': 2}
-
id: 121604668
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 252, 'group_counter': 1937, 'group_order': 1600, 'label': '40B-19', 'order': 40, 'powers': [201, 36], 'representative': 404, 'size': 2}
-
id: 121604669
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 253, 'group_counter': 1937, 'group_order': 1600, 'label': '40C1', 'order': 40, 'powers': [205, 35], 'representative': 164, 'size': 2}
-
id: 121604670
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 254, 'group_counter': 1937, 'group_order': 1600, 'label': '40C-1', 'order': 40, 'powers': [205, 36], 'representative': 1044, 'size': 2}
-
id: 121604671
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 255, 'group_counter': 1937, 'group_order': 1600, 'label': '40C3', 'order': 40, 'powers': [206, 33], 'representative': 388, 'size': 2}
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id: 121604672
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 256, 'group_counter': 1937, 'group_order': 1600, 'label': '40C-3', 'order': 40, 'powers': [206, 34], 'representative': 1372, 'size': 2}
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id: 121604673
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 257, 'group_counter': 1937, 'group_order': 1600, 'label': '40C7', 'order': 40, 'powers': [207, 36], 'representative': 1332, 'size': 2}
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id: 121604674
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 258, 'group_counter': 1937, 'group_order': 1600, 'label': '40C-7', 'order': 40, 'powers': [207, 35], 'representative': 428, 'size': 2}
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id: 121604675
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 259, 'group_counter': 1937, 'group_order': 1600, 'label': '40C9', 'order': 40, 'powers': [208, 35], 'representative': 1004, 'size': 2}
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id: 121604677
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 260, 'group_counter': 1937, 'group_order': 1600, 'label': '40C-9', 'order': 40, 'powers': [208, 36], 'representative': 756, 'size': 2}
-
id: 121604678
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 261, 'group_counter': 1937, 'group_order': 1600, 'label': '40C11', 'order': 40, 'powers': [208, 33], 'representative': 676, 'size': 2}
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id: 121604679
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 262, 'group_counter': 1937, 'group_order': 1600, 'label': '40C-11', 'order': 40, 'powers': [208, 34], 'representative': 1084, 'size': 2}
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id: 121604680
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 263, 'group_counter': 1937, 'group_order': 1600, 'label': '40C13', 'order': 40, 'powers': [207, 34], 'representative': 348, 'size': 2}
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id: 121604681
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 264, 'group_counter': 1937, 'group_order': 1600, 'label': '40C-13', 'order': 40, 'powers': [207, 33], 'representative': 1412, 'size': 2}
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id: 121604682
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 265, 'group_counter': 1937, 'group_order': 1600, 'label': '40C17', 'order': 40, 'powers': [206, 35], 'representative': 1292, 'size': 2}
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id: 121604683
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 266, 'group_counter': 1937, 'group_order': 1600, 'label': '40C-17', 'order': 40, 'powers': [206, 36], 'representative': 468, 'size': 2}
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id: 121604684
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 267, 'group_counter': 1937, 'group_order': 1600, 'label': '40C19', 'order': 40, 'powers': [205, 33], 'representative': 964, 'size': 2}
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id: 121604685
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 268, 'group_counter': 1937, 'group_order': 1600, 'label': '40C-19', 'order': 40, 'powers': [205, 34], 'representative': 244, 'size': 2}
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id: 121604686
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 269, 'group_counter': 1937, 'group_order': 1600, 'label': '40D1', 'order': 40, 'powers': [197, 37], 'representative': 6, 'size': 2}
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id: 121604688
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 270, 'group_counter': 1937, 'group_order': 1600, 'label': '40D-1', 'order': 40, 'powers': [197, 38], 'representative': 158, 'size': 2}
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id: 121604689
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 271, 'group_counter': 1937, 'group_order': 1600, 'label': '40D3', 'order': 40, 'powers': [198, 39], 'representative': 14, 'size': 2}
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id: 121604690
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 272, 'group_counter': 1937, 'group_order': 1600, 'label': '40D-3', 'order': 40, 'powers': [198, 40], 'representative': 150, 'size': 2}
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id: 121604691
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 273, 'group_counter': 1937, 'group_order': 1600, 'label': '40D7', 'order': 40, 'powers': [199, 38], 'representative': 30, 'size': 2}
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id: 121604692
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 274, 'group_counter': 1937, 'group_order': 1600, 'label': '40D-7', 'order': 40, 'powers': [199, 37], 'representative': 134, 'size': 2}
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id: 121604693
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 275, 'group_counter': 1937, 'group_order': 1600, 'label': '40D9', 'order': 40, 'powers': [200, 37], 'representative': 38, 'size': 2}
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id: 121604694
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 276, 'group_counter': 1937, 'group_order': 1600, 'label': '40D-9', 'order': 40, 'powers': [200, 38], 'representative': 126, 'size': 2}
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id: 121604695
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 277, 'group_counter': 1937, 'group_order': 1600, 'label': '40D11', 'order': 40, 'powers': [200, 39], 'representative': 46, 'size': 2}
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id: 121604696
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 278, 'group_counter': 1937, 'group_order': 1600, 'label': '40D-11', 'order': 40, 'powers': [200, 40], 'representative': 118, 'size': 2}
-
id: 121604697
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 279, 'group_counter': 1937, 'group_order': 1600, 'label': '40D13', 'order': 40, 'powers': [199, 40], 'representative': 54, 'size': 2}
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id: 121604699
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 280, 'group_counter': 1937, 'group_order': 1600, 'label': '40D-13', 'order': 40, 'powers': [199, 39], 'representative': 110, 'size': 2}
-
id: 121604700
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 281, 'group_counter': 1937, 'group_order': 1600, 'label': '40D17', 'order': 40, 'powers': [198, 37], 'representative': 70, 'size': 2}
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id: 121604701
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 282, 'group_counter': 1937, 'group_order': 1600, 'label': '40D-17', 'order': 40, 'powers': [198, 38], 'representative': 94, 'size': 2}
-
id: 121604702
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 283, 'group_counter': 1937, 'group_order': 1600, 'label': '40D19', 'order': 40, 'powers': [197, 39], 'representative': 806, 'size': 2}
-
id: 121604703
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 284, 'group_counter': 1937, 'group_order': 1600, 'label': '40D-19', 'order': 40, 'powers': [197, 40], 'representative': 86, 'size': 2}
-
id: 121604704
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 285, 'group_counter': 1937, 'group_order': 1600, 'label': '40E1', 'order': 40, 'powers': [209, 33], 'representative': 644, 'size': 2}
-
id: 121604705
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 286, 'group_counter': 1937, 'group_order': 1600, 'label': '40E-1', 'order': 40, 'powers': [209, 34], 'representative': 1524, 'size': 2}
-
id: 121604706
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 287, 'group_counter': 1937, 'group_order': 1600, 'label': '40E3', 'order': 40, 'powers': [210, 35], 'representative': 332, 'size': 2}
-
id: 121604707
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 288, 'group_counter': 1937, 'group_order': 1600, 'label': '40E-3', 'order': 40, 'powers': [210, 36], 'representative': 1428, 'size': 2}
-
id: 121604708
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 289, 'group_counter': 1937, 'group_order': 1600, 'label': '40E7', 'order': 40, 'powers': [211, 34], 'representative': 1308, 'size': 2}
-
id: 121604710
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 290, 'group_counter': 1937, 'group_order': 1600, 'label': '40E-7', 'order': 40, 'powers': [211, 33], 'representative': 452, 'size': 2}
-
id: 121604711
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 291, 'group_counter': 1937, 'group_order': 1600, 'label': '40E9', 'order': 40, 'powers': [212, 33], 'representative': 996, 'size': 2}
-
id: 121604712
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 292, 'group_counter': 1937, 'group_order': 1600, 'label': '40E-9', 'order': 40, 'powers': [212, 34], 'representative': 276, 'size': 2}
-
id: 121604713
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 293, 'group_counter': 1937, 'group_order': 1600, 'label': '40E11', 'order': 40, 'powers': [212, 35], 'representative': 196, 'size': 2}
-
id: 121604714
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 294, 'group_counter': 1937, 'group_order': 1600, 'label': '40E-11', 'order': 40, 'powers': [212, 36], 'representative': 1076, 'size': 2}
-
id: 121604715
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 295, 'group_counter': 1937, 'group_order': 1600, 'label': '40E13', 'order': 40, 'powers': [211, 36], 'representative': 372, 'size': 2}
-
id: 121604716
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 296, 'group_counter': 1937, 'group_order': 1600, 'label': '40E-13', 'order': 40, 'powers': [211, 35], 'representative': 1252, 'size': 2}
-
id: 121604717
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 297, 'group_counter': 1937, 'group_order': 1600, 'label': '40E17', 'order': 40, 'powers': [210, 33], 'representative': 1348, 'size': 2}
-
id: 121604718
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 298, 'group_counter': 1937, 'group_order': 1600, 'label': '40E-17', 'order': 40, 'powers': [210, 34], 'representative': 412, 'size': 2}
-
id: 121604719
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 299, 'group_counter': 1937, 'group_order': 1600, 'label': '40E19', 'order': 40, 'powers': [209, 35], 'representative': 1444, 'size': 2}
-
id: 121604722
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 300, 'group_counter': 1937, 'group_order': 1600, 'label': '40E-19', 'order': 40, 'powers': [209, 36], 'representative': 724, 'size': 2}
-
id: 121604723
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 301, 'group_counter': 1937, 'group_order': 1600, 'label': '40F1', 'order': 40, 'powers': [213, 33], 'representative': 1284, 'size': 2}
-
id: 121604724
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 302, 'group_counter': 1937, 'group_order': 1600, 'label': '40F-1', 'order': 40, 'powers': [213, 34], 'representative': 564, 'size': 2}
-
id: 121604725
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 303, 'group_counter': 1937, 'group_order': 1600, 'label': '40F3', 'order': 40, 'powers': [214, 35], 'representative': 228, 'size': 2}
-
id: 121604726
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 304, 'group_counter': 1937, 'group_order': 1600, 'label': '40F-3', 'order': 40, 'powers': [214, 36], 'representative': 1108, 'size': 2}
-
id: 121604727
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 305, 'group_counter': 1937, 'group_order': 1600, 'label': '40F7', 'order': 40, 'powers': [215, 34], 'representative': 988, 'size': 2}
-
id: 121604728
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 306, 'group_counter': 1937, 'group_order': 1600, 'label': '40F-7', 'order': 40, 'powers': [215, 33], 'representative': 772, 'size': 2}
-
id: 121604729
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 307, 'group_counter': 1937, 'group_order': 1600, 'label': '40F9', 'order': 40, 'powers': [216, 33], 'representative': 356, 'size': 2}
-
id: 121604730
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 308, 'group_counter': 1937, 'group_order': 1600, 'label': '40F-9', 'order': 40, 'powers': [216, 34], 'representative': 1236, 'size': 2}
-
id: 121604731
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 309, 'group_counter': 1937, 'group_order': 1600, 'label': '40F11', 'order': 40, 'powers': [216, 35], 'representative': 1156, 'size': 2}
-
id: 121604733
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 310, 'group_counter': 1937, 'group_order': 1600, 'label': '40F-11', 'order': 40, 'powers': [216, 36], 'representative': 436, 'size': 2}
-
id: 121604734
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 311, 'group_counter': 1937, 'group_order': 1600, 'label': '40F13', 'order': 40, 'powers': [215, 36], 'representative': 188, 'size': 2}
-
id: 121604735
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 312, 'group_counter': 1937, 'group_order': 1600, 'label': '40F-13', 'order': 40, 'powers': [215, 35], 'representative': 1068, 'size': 2}
-
id: 121604736
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 313, 'group_counter': 1937, 'group_order': 1600, 'label': '40F17', 'order': 40, 'powers': [214, 33], 'representative': 1028, 'size': 2}
-
id: 121604737
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 314, 'group_counter': 1937, 'group_order': 1600, 'label': '40F-17', 'order': 40, 'powers': [214, 34], 'representative': 308, 'size': 2}
-
id: 121604738
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 315, 'group_counter': 1937, 'group_order': 1600, 'label': '40F19', 'order': 40, 'powers': [213, 35], 'representative': 484, 'size': 2}
-
id: 121604739
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 316, 'group_counter': 1937, 'group_order': 1600, 'label': '40F-19', 'order': 40, 'powers': [213, 36], 'representative': 1364, 'size': 2}
-
id: 121604740
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 317, 'group_counter': 1937, 'group_order': 1600, 'label': '40G1', 'order': 40, 'powers': [217, 36], 'representative': 340, 'size': 2}
-
id: 121604741
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 318, 'group_counter': 1937, 'group_order': 1600, 'label': '40G-1', 'order': 40, 'powers': [217, 35], 'representative': 1220, 'size': 2}
-
id: 121604742
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 319, 'group_counter': 1937, 'group_order': 1600, 'label': '40G3', 'order': 40, 'powers': [218, 34], 'representative': 1460, 'size': 2}
-
id: 121604744
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 320, 'group_counter': 1937, 'group_order': 1600, 'label': '40G-3', 'order': 40, 'powers': [218, 33], 'representative': 740, 'size': 2}
-
id: 121604745
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 321, 'group_counter': 1937, 'group_order': 1600, 'label': '40G7', 'order': 40, 'powers': [219, 35], 'representative': 260, 'size': 2}
-
id: 121604746
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 322, 'group_counter': 1937, 'group_order': 1600, 'label': '40G-7', 'order': 40, 'powers': [219, 36], 'representative': 980, 'size': 2}
-
id: 121604747
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 323, 'group_counter': 1937, 'group_order': 1600, 'label': '40G9', 'order': 40, 'powers': [220, 36], 'representative': 1300, 'size': 2}
-
id: 121604748
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 324, 'group_counter': 1937, 'group_order': 1600, 'label': '40G-9', 'order': 40, 'powers': [220, 35], 'representative': 580, 'size': 2}
-
id: 121604749
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 325, 'group_counter': 1937, 'group_order': 1600, 'label': '40G11', 'order': 40, 'powers': [220, 34], 'representative': 500, 'size': 2}
-
id: 121604750
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 326, 'group_counter': 1937, 'group_order': 1600, 'label': '40G-11', 'order': 40, 'powers': [220, 33], 'representative': 1380, 'size': 2}
-
id: 121604751
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 327, 'group_counter': 1937, 'group_order': 1600, 'label': '40G13', 'order': 40, 'powers': [219, 33], 'representative': 1060, 'size': 2}
-
id: 121604752
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 328, 'group_counter': 1937, 'group_order': 1600, 'label': '40G-13', 'order': 40, 'powers': [219, 34], 'representative': 180, 'size': 2}
-
id: 121604753
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 329, 'group_counter': 1937, 'group_order': 1600, 'label': '40G17', 'order': 40, 'powers': [218, 36], 'representative': 660, 'size': 2}
-
id: 121604755
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 330, 'group_counter': 1937, 'group_order': 1600, 'label': '40G-17', 'order': 40, 'powers': [218, 35], 'representative': 1540, 'size': 2}
-
id: 121604756
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 331, 'group_counter': 1937, 'group_order': 1600, 'label': '40G19', 'order': 40, 'powers': [217, 34], 'representative': 1140, 'size': 2}
-
id: 121604757
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 332, 'group_counter': 1937, 'group_order': 1600, 'label': '40G-19', 'order': 40, 'powers': [217, 33], 'representative': 420, 'size': 2}
-
id: 121604758
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 333, 'group_counter': 1937, 'group_order': 1600, 'label': '40H1', 'order': 40, 'powers': [201, 37], 'representative': 326, 'size': 2}
-
id: 121604759
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 334, 'group_counter': 1937, 'group_order': 1600, 'label': '40H-1', 'order': 40, 'powers': [201, 38], 'representative': 1206, 'size': 2}
-
id: 121604760
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 335, 'group_counter': 1937, 'group_order': 1600, 'label': '40H3', 'order': 40, 'powers': [202, 39], 'representative': 974, 'size': 2}
-
id: 121604761
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 336, 'group_counter': 1937, 'group_order': 1600, 'label': '40H-3', 'order': 40, 'powers': [202, 40], 'representative': 790, 'size': 2}
-
id: 121604762
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 337, 'group_counter': 1937, 'group_order': 1600, 'label': '40H7', 'order': 40, 'powers': [203, 38], 'representative': 214, 'size': 2}
-
id: 121604763
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 338, 'group_counter': 1937, 'group_order': 1600, 'label': '40H-7', 'order': 40, 'powers': [203, 37], 'representative': 1094, 'size': 2}
-
id: 121604764
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 339, 'group_counter': 1937, 'group_order': 1600, 'label': '40H9', 'order': 40, 'powers': [204, 37], 'representative': 1318, 'size': 2}
-
id: 121604766
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 340, 'group_counter': 1937, 'group_order': 1600, 'label': '40H-9', 'order': 40, 'powers': [204, 38], 'representative': 598, 'size': 2}
-
id: 121604767
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 341, 'group_counter': 1937, 'group_order': 1600, 'label': '40H11', 'order': 40, 'powers': [204, 39], 'representative': 518, 'size': 2}
-
id: 121604768
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 342, 'group_counter': 1937, 'group_order': 1600, 'label': '40H-11', 'order': 40, 'powers': [204, 40], 'representative': 1398, 'size': 2}
-
id: 121604769
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 343, 'group_counter': 1937, 'group_order': 1600, 'label': '40H13', 'order': 40, 'powers': [203, 40], 'representative': 1014, 'size': 2}
-
id: 121604770
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 344, 'group_counter': 1937, 'group_order': 1600, 'label': '40H-13', 'order': 40, 'powers': [203, 39], 'representative': 294, 'size': 2}
-
id: 121604771
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 345, 'group_counter': 1937, 'group_order': 1600, 'label': '40H17', 'order': 40, 'powers': [202, 37], 'representative': 174, 'size': 2}
-
id: 121604772
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 346, 'group_counter': 1937, 'group_order': 1600, 'label': '40H-17', 'order': 40, 'powers': [202, 38], 'representative': 1054, 'size': 2}
-
id: 121604773
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 347, 'group_counter': 1937, 'group_order': 1600, 'label': '40H19', 'order': 40, 'powers': [201, 39], 'representative': 1126, 'size': 2}
-
id: 121604774
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 348, 'group_counter': 1937, 'group_order': 1600, 'label': '40H-19', 'order': 40, 'powers': [201, 40], 'representative': 406, 'size': 2}
-
id: 121604775
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 349, 'group_counter': 1937, 'group_order': 1600, 'label': '40I1', 'order': 40, 'powers': [205, 39], 'representative': 166, 'size': 2}
-
id: 121604777
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 350, 'group_counter': 1937, 'group_order': 1600, 'label': '40I-1', 'order': 40, 'powers': [205, 40], 'representative': 1046, 'size': 2}
-
id: 121604778
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 351, 'group_counter': 1937, 'group_order': 1600, 'label': '40I3', 'order': 40, 'powers': [206, 37], 'representative': 390, 'size': 2}
-
id: 121604779
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 352, 'group_counter': 1937, 'group_order': 1600, 'label': '40I-3', 'order': 40, 'powers': [206, 38], 'representative': 1374, 'size': 2}
-
id: 121604780
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 353, 'group_counter': 1937, 'group_order': 1600, 'label': '40I7', 'order': 40, 'powers': [207, 40], 'representative': 1334, 'size': 2}
-
id: 121604781
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 354, 'group_counter': 1937, 'group_order': 1600, 'label': '40I-7', 'order': 40, 'powers': [207, 39], 'representative': 430, 'size': 2}
-
id: 121604782
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 355, 'group_counter': 1937, 'group_order': 1600, 'label': '40I9', 'order': 40, 'powers': [208, 39], 'representative': 1006, 'size': 2}
-
id: 121604783
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 356, 'group_counter': 1937, 'group_order': 1600, 'label': '40I-9', 'order': 40, 'powers': [208, 40], 'representative': 758, 'size': 2}
-
id: 121604784
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 357, 'group_counter': 1937, 'group_order': 1600, 'label': '40I11', 'order': 40, 'powers': [208, 37], 'representative': 678, 'size': 2}
-
id: 121604785
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 358, 'group_counter': 1937, 'group_order': 1600, 'label': '40I-11', 'order': 40, 'powers': [208, 38], 'representative': 1086, 'size': 2}
-
id: 121604786
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 359, 'group_counter': 1937, 'group_order': 1600, 'label': '40I13', 'order': 40, 'powers': [207, 38], 'representative': 350, 'size': 2}
-
id: 121604788
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 360, 'group_counter': 1937, 'group_order': 1600, 'label': '40I-13', 'order': 40, 'powers': [207, 37], 'representative': 1414, 'size': 2}
-
id: 121604789
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 361, 'group_counter': 1937, 'group_order': 1600, 'label': '40I17', 'order': 40, 'powers': [206, 39], 'representative': 1294, 'size': 2}
-
id: 121604790
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 362, 'group_counter': 1937, 'group_order': 1600, 'label': '40I-17', 'order': 40, 'powers': [206, 40], 'representative': 470, 'size': 2}
-
id: 121604791
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 363, 'group_counter': 1937, 'group_order': 1600, 'label': '40I19', 'order': 40, 'powers': [205, 37], 'representative': 966, 'size': 2}
-
id: 121604792
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 364, 'group_counter': 1937, 'group_order': 1600, 'label': '40I-19', 'order': 40, 'powers': [205, 38], 'representative': 246, 'size': 2}
-
id: 121604793
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 365, 'group_counter': 1937, 'group_order': 1600, 'label': '40J1', 'order': 40, 'powers': [209, 37], 'representative': 646, 'size': 2}
-
id: 121604794
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 366, 'group_counter': 1937, 'group_order': 1600, 'label': '40J-1', 'order': 40, 'powers': [209, 38], 'representative': 1526, 'size': 2}
-
id: 121604795
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 367, 'group_counter': 1937, 'group_order': 1600, 'label': '40J3', 'order': 40, 'powers': [210, 39], 'representative': 334, 'size': 2}
-
id: 121604796
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 368, 'group_counter': 1937, 'group_order': 1600, 'label': '40J-3', 'order': 40, 'powers': [210, 40], 'representative': 1430, 'size': 2}
-
id: 121604797
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 369, 'group_counter': 1937, 'group_order': 1600, 'label': '40J7', 'order': 40, 'powers': [211, 38], 'representative': 1310, 'size': 2}
-
id: 121604799
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 370, 'group_counter': 1937, 'group_order': 1600, 'label': '40J-7', 'order': 40, 'powers': [211, 37], 'representative': 454, 'size': 2}
-
id: 121604800
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 371, 'group_counter': 1937, 'group_order': 1600, 'label': '40J9', 'order': 40, 'powers': [212, 37], 'representative': 998, 'size': 2}
-
id: 121604801
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 372, 'group_counter': 1937, 'group_order': 1600, 'label': '40J-9', 'order': 40, 'powers': [212, 38], 'representative': 278, 'size': 2}
-
id: 121604802
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 373, 'group_counter': 1937, 'group_order': 1600, 'label': '40J11', 'order': 40, 'powers': [212, 39], 'representative': 198, 'size': 2}
-
id: 121604803
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 374, 'group_counter': 1937, 'group_order': 1600, 'label': '40J-11', 'order': 40, 'powers': [212, 40], 'representative': 1078, 'size': 2}
-
id: 121604804
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 375, 'group_counter': 1937, 'group_order': 1600, 'label': '40J13', 'order': 40, 'powers': [211, 40], 'representative': 374, 'size': 2}
-
id: 121604805
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 376, 'group_counter': 1937, 'group_order': 1600, 'label': '40J-13', 'order': 40, 'powers': [211, 39], 'representative': 1254, 'size': 2}
-
id: 121604806
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 377, 'group_counter': 1937, 'group_order': 1600, 'label': '40J17', 'order': 40, 'powers': [210, 37], 'representative': 1350, 'size': 2}
-
id: 121604807
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 378, 'group_counter': 1937, 'group_order': 1600, 'label': '40J-17', 'order': 40, 'powers': [210, 38], 'representative': 414, 'size': 2}
-
id: 121604808
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 379, 'group_counter': 1937, 'group_order': 1600, 'label': '40J19', 'order': 40, 'powers': [209, 39], 'representative': 1446, 'size': 2}
-
id: 121604810
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 380, 'group_counter': 1937, 'group_order': 1600, 'label': '40J-19', 'order': 40, 'powers': [209, 40], 'representative': 726, 'size': 2}
-
id: 121604811
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 381, 'group_counter': 1937, 'group_order': 1600, 'label': '40K1', 'order': 40, 'powers': [213, 37], 'representative': 1286, 'size': 2}
-
id: 121604812
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 382, 'group_counter': 1937, 'group_order': 1600, 'label': '40K-1', 'order': 40, 'powers': [213, 38], 'representative': 566, 'size': 2}
-
id: 121604813
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 383, 'group_counter': 1937, 'group_order': 1600, 'label': '40K3', 'order': 40, 'powers': [214, 39], 'representative': 230, 'size': 2}
-
id: 121604814
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 384, 'group_counter': 1937, 'group_order': 1600, 'label': '40K-3', 'order': 40, 'powers': [214, 40], 'representative': 1110, 'size': 2}
-
id: 121604815
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 385, 'group_counter': 1937, 'group_order': 1600, 'label': '40K7', 'order': 40, 'powers': [215, 38], 'representative': 990, 'size': 2}
-
id: 121604816
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 386, 'group_counter': 1937, 'group_order': 1600, 'label': '40K-7', 'order': 40, 'powers': [215, 37], 'representative': 774, 'size': 2}
-
id: 121604817
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 387, 'group_counter': 1937, 'group_order': 1600, 'label': '40K9', 'order': 40, 'powers': [216, 37], 'representative': 358, 'size': 2}
-
id: 121604818
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 388, 'group_counter': 1937, 'group_order': 1600, 'label': '40K-9', 'order': 40, 'powers': [216, 38], 'representative': 1238, 'size': 2}
-
id: 121604819
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 389, 'group_counter': 1937, 'group_order': 1600, 'label': '40K11', 'order': 40, 'powers': [216, 39], 'representative': 1158, 'size': 2}
-
id: 121604821
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 390, 'group_counter': 1937, 'group_order': 1600, 'label': '40K-11', 'order': 40, 'powers': [216, 40], 'representative': 438, 'size': 2}
-
id: 121604822
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 391, 'group_counter': 1937, 'group_order': 1600, 'label': '40K13', 'order': 40, 'powers': [215, 40], 'representative': 190, 'size': 2}
-
id: 121604823
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 392, 'group_counter': 1937, 'group_order': 1600, 'label': '40K-13', 'order': 40, 'powers': [215, 39], 'representative': 1070, 'size': 2}
-
id: 121604824
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 393, 'group_counter': 1937, 'group_order': 1600, 'label': '40K17', 'order': 40, 'powers': [214, 37], 'representative': 1030, 'size': 2}
-
id: 121604825
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 394, 'group_counter': 1937, 'group_order': 1600, 'label': '40K-17', 'order': 40, 'powers': [214, 38], 'representative': 310, 'size': 2}
-
id: 121604826
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 395, 'group_counter': 1937, 'group_order': 1600, 'label': '40K19', 'order': 40, 'powers': [213, 39], 'representative': 486, 'size': 2}
-
id: 121604827
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 396, 'group_counter': 1937, 'group_order': 1600, 'label': '40K-19', 'order': 40, 'powers': [213, 40], 'representative': 1366, 'size': 2}
-
id: 121604828
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 397, 'group_counter': 1937, 'group_order': 1600, 'label': '40L1', 'order': 40, 'powers': [217, 40], 'representative': 342, 'size': 2}
-
id: 121604829
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 398, 'group_counter': 1937, 'group_order': 1600, 'label': '40L-1', 'order': 40, 'powers': [217, 39], 'representative': 1222, 'size': 2}
-
id: 121604830
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 399, 'group_counter': 1937, 'group_order': 1600, 'label': '40L3', 'order': 40, 'powers': [218, 38], 'representative': 1462, 'size': 2}
-
id: 121604833
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 400, 'group_counter': 1937, 'group_order': 1600, 'label': '40L-3', 'order': 40, 'powers': [218, 37], 'representative': 742, 'size': 2}
-
id: 121604834
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 401, 'group_counter': 1937, 'group_order': 1600, 'label': '40L7', 'order': 40, 'powers': [219, 39], 'representative': 262, 'size': 2}
-
id: 121604835
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 402, 'group_counter': 1937, 'group_order': 1600, 'label': '40L-7', 'order': 40, 'powers': [219, 40], 'representative': 982, 'size': 2}
-
id: 121604836
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 403, 'group_counter': 1937, 'group_order': 1600, 'label': '40L9', 'order': 40, 'powers': [220, 40], 'representative': 1302, 'size': 2}
-
id: 121604837
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 404, 'group_counter': 1937, 'group_order': 1600, 'label': '40L-9', 'order': 40, 'powers': [220, 39], 'representative': 582, 'size': 2}
-
id: 121604838
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 405, 'group_counter': 1937, 'group_order': 1600, 'label': '40L11', 'order': 40, 'powers': [220, 38], 'representative': 502, 'size': 2}
-
id: 121604839
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 406, 'group_counter': 1937, 'group_order': 1600, 'label': '40L-11', 'order': 40, 'powers': [220, 37], 'representative': 1382, 'size': 2}
-
id: 121604840
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 407, 'group_counter': 1937, 'group_order': 1600, 'label': '40L13', 'order': 40, 'powers': [219, 37], 'representative': 1062, 'size': 2}
-
id: 121604841
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 408, 'group_counter': 1937, 'group_order': 1600, 'label': '40L-13', 'order': 40, 'powers': [219, 38], 'representative': 182, 'size': 2}
-
id: 121604842
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 409, 'group_counter': 1937, 'group_order': 1600, 'label': '40L17', 'order': 40, 'powers': [218, 40], 'representative': 662, 'size': 2}
-
id: 121604844
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 410, 'group_counter': 1937, 'group_order': 1600, 'label': '40L-17', 'order': 40, 'powers': [218, 39], 'representative': 1542, 'size': 2}
-
id: 121604845
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 411, 'group_counter': 1937, 'group_order': 1600, 'label': '40L19', 'order': 40, 'powers': [217, 38], 'representative': 1142, 'size': 2}
-
id: 121604846
{'aut_label': '40A1', 'centralizer': '2.b1', 'counter': 412, 'group_counter': 1937, 'group_order': 1600, 'label': '40L-19', 'order': 40, 'powers': [217, 37], 'representative': 422, 'size': 2}
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gps_qchar • Show schema
Hide schema
-
id: 6876817
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1600.1937', 'group_order': 1600, 'image': None, 'label': '1600.1937.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
-
id: 6876831
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1600.1937', 'group_order': 1600, 'image': None, 'label': '1600.1937.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
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id: 6876842
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id: 6876875
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id: 6876897
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id: 6876908
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id: 6876822
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id: 6876823
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id: 6876824
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id: 6876825
{'cdim': 2, 'counter': 14, 'faithful': False, 'group': '1600.1937', 'group_order': 1600, 'image': None, 'label': '1600.1937.2d', 'multiplicity': 1, 'nt': [8, 5], 'qdim': 2, 'qvalues': [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, 0, 0, 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, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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': 2}
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id: 6876826
{'cdim': 2, 'counter': 15, 'faithful': False, 'group': '1600.1937', 'group_order': 1600, 'image': None, 'label': '1600.1937.2e', 'multiplicity': 2, 'nt': [5, 2], 'qdim': 4, 'qvalues': [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, 4, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, 4, 4, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, 4, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, -1, 4, 4, 4, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4], 'schur_index': 1}
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id: 6876827
{'cdim': 2, 'counter': 16, 'faithful': False, 'group': '1600.1937', 'group_order': 1600, 'image': None, 'label': '1600.1937.2f', 'multiplicity': 2, 'nt': [5, 2], 'qdim': 4, 'qvalues': [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, 4, 4, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, -1, 4, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, 4, -1, -1, 4, -1, 4, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, 4, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, -1, -1, 4, -1, 4, -1, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
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id: 6876840
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id: 6876841
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id: 6876843
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id: 6876844
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id: 6876845
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id: 6876846
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id: 6876847
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id: 6876848
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id: 6876849
{'cdim': 2, 'counter': 36, 'faithful': False, 'group': '1600.1937', 'group_order': 1600, 'image': None, 'label': '1600.1937.2z', 'multiplicity': 2, 'nt': [20, 2], 'qdim': 4, 'qvalues': [4, 4, -4, 4, -4, 4, -4, -4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, -1, 4, -4, -4, 4, -4, 4, 4, -4, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -4, -1, -1, 1, 1, -1, 1, -1, 1, 4, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -4, 1, 1, -1, 1, 1, -4, -4, 1, -4, 1, 1, -4, -1, -4, 1, 1, 1, -4, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 4, 1, 1, 1, -1, -1, 4, -1, 4, -1, -1, -1, -1, 1, -1, -1, -1, 4, -1, 4, 1, 1, 1, 1, -4, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -4, -1, -1, 1, 1, 1, 1, 1, 4, -1, -1, -1, -1, 1, 1, 1, -4, 1, -1, -1, -1, -1, -1, -4, -4, 1, 1, 1, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, 4, 1, 1, -4, 1, 1, 1, 1, 1, 1, -4, 1, 4, -1, -1, -1, 4, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -4, -1, 4, -1, -1, -1, 1, 1, 1, 4, 1, 1, 1, 1, -1, -4, 4, -1, -1, -1, -1, -1, -4, -1, -1, 1, 1, -1, 1, -4, 1, 1, 1, 1, -1, 1, 1, 1, 1, -4, 1, 1, -1, 1, -4, 1, 1, -1, 1, 1, -4, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, -4, 1, 1, -1, 1, 1, 1, -4, 1, 1, 1, -1, -1, -1, -1, 4, -1, 4, 1, -1, -1, 1, 1, -1, -4, 1, 1, 1, 4, -1, -1, -1, 4, -1, 1, -1, -1, -4, 4, -1, 4, -1, -1, -1, -4, -1, -4, 1, 4, -1, -1, -1, -1, -1, 1, -1, 1, 1, -4, -1, 1, 1, -1, -1, -1, -1, -4, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 4, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 4, -1, -4, -1, 4, -1, 4, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 4, 4, 1, -1, -1, 1, 1, 1, 1, -1, -4, 1, 1], 'schur_index': 2}
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id: 6876850
{'cdim': 2, 'counter': 37, 'faithful': False, 'group': '1600.1937', 'group_order': 1600, 'image': None, 'label': '1600.1937.2aa', 'multiplicity': 2, 'nt': [20, 2], 'qdim': 4, 'qvalues': [4, 4, -4, 4, -4, 4, -4, -4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -4, 4, 4, -4, 4, -4, -4, 4, 1, 1, -1, 1, 1, 1, -1, -1, 4, 1, 1, -1, 4, 1, 1, -1, 1, -1, -4, -1, -1, -1, -1, -1, -1, 1, -4, 1, -4, -4, 1, 1, 1, 1, -1, -4, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 4, 4, -4, -4, 1, 1, 1, 1, 1, -1, -4, -1, 1, 1, 1, -1, 4, -1, -1, -1, -1, -1, -1, 4, 1, -1, -1, -1, -1, -1, -1, 1, -4, -4, 1, 1, -1, 4, -1, 4, 1, 1, 1, -4, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -4, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 4, -1, 4, -1, 1, 1, -4, 1, 1, -1, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, -1, 1, 1, 1, -4, 1, -4, 1, 1, 1, 1, 1, -1, 4, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -4, 1, -1, -1, 4, -1, -1, 1, 1, 1, -1, -1, 4, -1, -1, 1, -1, 1, 1, 1, -4, -4, 1, -1, 1, 1, -1, -1, -4, -1, -1, -1, -1, 4, 4, 1, -1, -1, -1, -1, -1, 4, 4, 1, -1, -1, -1, -1, -4, -1, -1, -1, 4, -1, -1, 4, 1, 4, -1, -1, -1, -1, -1, -1, 1, -1, -1, 4, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -4, 4, -1, 1, -1, -1, -1, -1, 1, 1, 1, -4, 1, 1, -1, -4, -4, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 4, 1, 1, -4, 1, 1, -4, -1, 1, -1, -1, -1, -4, -1, -1, 1, 1, 1, -4, -1, 4, 1, -4, 1, 1, 1, -4, -1, 1, 1, -1, 1, 4, 1, 1, -1, -1, -1, -1, 1, 4, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -4, 4, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 4, -1, -4, -1, -1, -1], 'schur_index': 2}
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id: 6876851
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id: 6876855
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id: 6876856
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id: 6876857
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id: 6876858
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id: 6876859
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id: 6876860
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id: 6876861
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id: 6876862
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id: 6876863
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id: 6876865
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id: 6876866
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id: 6876867
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id: 6876868
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id: 6876869
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id: 6876870
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id: 6876871
{'cdim': 2, 'counter': 56, 'faithful': False, 'group': '1600.1937', 'group_order': 1600, 'image': None, 'label': '1600.1937.2at', 'multiplicity': 4, 'nt': [20, 7], 'qdim': 8, 'qvalues': [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, 8, 8, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, -8, 2, -8, 2, 2, -2, -2, 2, 2, -2, 8, 2, 2, -2, 2, 2, -2, -2, 2, -8, 2, 8, -2, -8, 2, -2, 2, 2, -2, 8, 2, 2, -2, 2, 2, 2, -2, 2, -2, -2, 2, -2, 8, -2, -2, 2, -2, 2, -8, -2, 2, -2, -2, 2, 2, 2, -8, -2, 2, 2, 2, -2, 2, 2, 8, -2, -2, 2, -2, 2, -2, -8, 2, 2, 8, -8, -2, 2, -2, 2, -2, 2, -2, -8, 2, 2, 2, 2, 2, 2, -8, 2, 2, 2, -2, 2, -2, -2, 2, 2, 8, -2, -2, 2, -2, 2, -2, -2, -2, -8, -2, 2, 2, -2, 8, -2, -2, -2, -2, 2, -2, -2, 2, 8, 8, 2, 8, -2, -2, 2, -2, -8, -2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -8, 2, 2, -2, 2, 2, -2, 8, -2, -2, -2, 8, -2, 2, -8, 2, -8, -2, -2, 2, -8, 2, -2, -2, 2, -2, -2, 2, 2, 8, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6876872
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id: 6876873
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id: 6876874
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id: 6876876
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id: 6876877
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id: 6876878
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id: 6876879
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id: 6876880
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id: 6876881
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id: 6876882
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id: 6876883
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id: 6876884
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id: 6876885
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id: 6876887
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id: 6876888
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id: 6876889
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id: 6876890
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id: 6876891
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id: 6876892
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id: 6876893
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id: 6876895
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id: 6876896
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id: 6876898
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id: 6876899
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id: 6876900
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id: 6876901
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id: 6876902
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id: 6876903
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id: 6876904
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id: 6876905
{'cdim': 2, 'counter': 87, 'faithful': False, 'group': '1600.1937', 'group_order': 1600, 'image': None, 'label': '1600.1937.2by', 'multiplicity': 8, 'nt': [40, 47], 'qdim': 16, 'qvalues': [16, -16, -16, -16, 16, 16, 16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 16, -4, 16, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, -4, 4, -4, 4, -4, -4, -4, 16, 4, 4, -4, -4, -4, 4, 4, -4, 16, 4, 4, 4, 4, 4, -4, -4, -4, 4, -4, -4, -16, 4, 4, -4, -4, -4, -16, 16, -4, -16, 4, -4, -16, -4, 16, 4, 4, 4, 16, 4, -4, 4, 4, -4, 4, 4, -4, 4, 4, -4, 4, -4, 4, -16, 4, 4, 4, 4, 4, -16, 4, -16, 4, 4, -4, 4, -4, 4, -4, 4, 16, 4, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6876906
{'cdim': 2, 'counter': 88, 'faithful': False, 'group': '1600.1937', 'group_order': 1600, 'image': None, 'label': '1600.1937.2bz', 'multiplicity': 8, 'nt': [40, 47], 'qdim': 16, 'qvalues': [16, -16, -16, -16, 16, 16, 16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 16, -4, -4, -4, -4, -4, -4, -4, 16, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, -4, 4, -4, 4, -4, 16, -4, -4, 4, -16, -4, -4, -4, 4, 4, 16, -4, 4, 4, 4, 4, 4, -4, 16, -4, -16, 16, -4, 4, 4, 4, -4, 16, -4, 4, -4, -4, 4, 4, -4, 4, -4, -4, 4, 4, 4, -4, 4, -4, 4, -16, 16, -16, -16, -4, 4, 4, -4, 4, -4, -16, 4, 4, 4, 4, 4, -16, 4, 4, 4, 4, 4, -4, -16, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6876907
{'cdim': 2, 'counter': 89, 'faithful': False, 'group': '1600.1937', 'group_order': 1600, 'image': None, 'label': '1600.1937.2ca', 'multiplicity': 8, 'nt': [40, 47], 'qdim': 16, 'qvalues': [16, -16, -16, -16, 16, 16, 16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 16, -4, -4, -4, -4, -4, -4, -4, 16, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 4, -4, 4, 16, 4, -4, -4, -4, -4, 4, 4, 16, -4, -4, 4, 4, -4, -4, -16, -16, -16, 4, -16, -4, -4, -4, 4, -4, -4, 4, 4, 4, 16, -4, -4, 4, -4, -4, 4, 4, -4, 4, 16, -4, 4, 4, 4, -4, 4, -4, 4, 4, -4, 4, 4, -4, 4, 4, -4, -16, -4, 4, 4, -16, -16, -16, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6876909
{'cdim': 2, 'counter': 90, 'faithful': False, 'group': '1600.1937', 'group_order': 1600, 'image': None, 'label': '1600.1937.2cb', 'multiplicity': 8, 'nt': [40, 47], 'qdim': 16, 'qvalues': [16, -16, -16, -16, 16, 16, 16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, -4, -4, -4, 16, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, -4, 4, -4, 4, 16, -4, 16, -4, 4, 4, -4, -4, -4, 4, -16, -4, -4, 4, 4, 4, 4, 4, -4, -4, -4, 4, -4, 16, 4, -16, 4, -4, -4, 16, 4, -4, -4, 4, 4, -4, 4, -4, -4, 4, 4, 4, -4, -16, 16, 4, 4, -4, 4, 4, -4, -16, -16, -4, 4, -4, 4, 4, 4, 4, 4, 4, 4, 4, -16, 4, -16, 4, -4, 4, 16, 4, -4, -16, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6876910
{'cdim': 2, 'counter': 91, 'faithful': False, 'group': '1600.1937', 'group_order': 1600, 'image': None, 'label': '1600.1937.2cc', 'multiplicity': 8, 'nt': [40, 47], 'qdim': 16, 'qvalues': [16, -16, 16, -16, -16, 16, -16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, 16, -4, -4, 16, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -16, -16, -4, 4, 4, -4, -4, 4, 4, -16, 4, 4, 4, 16, 16, 4, 4, -4, 4, 4, 4, 4, 4, 4, 4, 4, -4, 4, 4, -4, -4, -4, -4, 4, 4, -4, 4, -16, -4, 16, -16, -4, -4, 4, -4, 16, 16, 4, -4, -4, -4, 4, -4, -4, -4, -16, -4, -4, 4, -4, 16, -4, 4, -4, -4, -4, 4, 4, 4, 4, 4, 4, -16, -4, 4, 4, 4, -4, 4, -4, -16, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6876911
{'cdim': 2, 'counter': 92, 'faithful': False, 'group': '1600.1937', 'group_order': 1600, 'image': None, 'label': '1600.1937.2cd', 'multiplicity': 8, 'nt': [40, 47], 'qdim': 16, 'qvalues': [16, -16, 16, -16, -16, 16, -16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 16, 16, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 16, 4, -16, -4, -4, 4, 4, 4, 4, 4, -16, -4, -4, 4, 4, -4, 4, 4, 4, -16, 4, -16, 4, -16, -4, 4, 4, -4, -4, 16, -4, 4, 4, -4, 4, 4, -4, -4, 4, -4, -4, 4, 16, -4, -4, 4, -4, -4, 16, 4, -4, -4, -4, 4, -4, -4, -16, -4, -4, -4, 4, -4, -4, -4, -16, 4, 4, 4, 4, 4, 4, 16, 4, 4, -16, 16, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6876912
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id: 6876913
{'cdim': 2, 'counter': 94, 'faithful': False, 'group': '1600.1937', 'group_order': 1600, 'image': None, 'label': '1600.1937.2cf', 'multiplicity': 8, 'nt': [40, 47], 'qdim': 16, 'qvalues': [16, -16, 16, -16, -16, 16, -16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 16, -4, -4, -4, -4, -4, -4, -4, 16, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -4, 4, 4, -4, 16, 4, 4, 4, -16, 4, 4, -4, -4, 4, -16, -4, 4, 4, 4, 4, 4, 4, -16, 4, 16, -16, 4, -4, -4, -4, -4, -16, 4, -4, 4, 4, -4, -4, 4, -4, -4, 4, -4, -4, -4, 4, -4, -4, -4, -16, 16, 16, 16, 4, -4, -4, 4, -4, -4, 16, 4, -4, -4, -4, 4, -16, 4, 4, 4, 4, 4, -4, -16, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6876914
{'cdim': 2, 'counter': 95, 'faithful': False, 'group': '1600.1937', 'group_order': 1600, 'image': None, 'label': '1600.1937.2cg', 'multiplicity': 8, 'nt': [40, 47], 'qdim': 16, 'qvalues': [16, -16, 16, -16, -16, 16, -16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 16, -4, -4, -4, -4, -4, -4, -4, 16, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -16, -16, 4, 4, -4, -16, 4, -4, -4, 4, 4, 4, 4, -16, 4, -4, -4, 4, 4, -4, -16, -16, -16, 4, -16, 4, 4, 4, -4, 4, 4, -4, -4, -4, 16, 4, 4, -4, 4, 4, -4, -4, 4, -4, 16, 4, -4, -4, -4, 4, -4, -4, -4, 4, -4, -4, -4, 4, -4, -4, 4, 16, -4, -4, 4, 16, 16, 16, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6876915
{'cdim': 2, 'counter': 96, 'faithful': False, 'group': '1600.1937', 'group_order': 1600, 'image': None, 'label': '1600.1937.2ch', 'multiplicity': 8, 'nt': [40, 47], 'qdim': 16, 'qvalues': [16, -16, 16, -16, -16, 16, -16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, -4, -4, -4, 16, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -4, 4, 4, 16, -4, -16, 4, 4, 4, 4, 4, -4, -4, -16, 4, -4, 4, 4, 4, 4, 4, 4, 4, 4, -4, 4, -16, -4, 16, -4, -4, 4, -16, -4, 4, 4, -4, -4, 4, -4, -4, 4, -4, -4, -4, 4, 16, 16, -4, 4, -4, -4, -4, 4, 16, 16, 4, -4, -4, -4, 4, -4, -4, -4, 4, 4, 4, -16, 4, -16, 4, -4, 4, -16, 4, -4, -16, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6876916
{'cdim': 2, 'counter': 97, 'faithful': False, 'group': '1600.1937', 'group_order': 1600, 'image': None, 'label': '1600.1937.2ci', 'multiplicity': 8, 'nt': [80, 0], 'qdim': 16, 'qvalues': [16, 16, -16, -16, -16, -16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, 16, -4, -4, 16, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 16, -16, 4, -4, -4, 4, 4, 4, 4, 16, -4, 4, 4, -16, -16, 4, -4, 4, 4, 4, -4, -4, -4, 4, 4, -4, 4, 4, -4, 4, -4, -4, 4, -4, 4, 4, -4, 16, -4, -16, -16, -4, 4, 4, -4, 16, 16, -4, -4, 4, 4, 4, 4, -4, -4, 16, 4, 4, -4, -4, -16, 4, -4, -4, 4, 4, 4, 4, 4, -4, 4, -4, -16, 4, -4, -4, 4, 4, 4, 4, -16, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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': 2}
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id: 6876917
{'cdim': 2, 'counter': 98, 'faithful': False, 'group': '1600.1937', 'group_order': 1600, 'image': None, 'label': '1600.1937.2cj', 'multiplicity': 8, 'nt': [80, 0], 'qdim': 16, 'qvalues': [16, 16, -16, -16, -16, -16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 16, 16, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, 4, -16, -4, 16, 4, 4, 4, 4, -4, -4, 4, -16, 4, 4, 4, -4, 4, 4, 4, -4, 16, -4, -16, 4, 16, 4, 4, -4, 4, -4, 16, 4, -4, 4, 4, -4, -4, -4, 4, 4, -4, 4, 4, 16, -4, -4, -4, -4, 4, -16, 4, 4, -4, -4, -4, 4, 4, 16, -4, 4, 4, -4, -4, 4, 4, -16, 4, 4, -4, 4, -4, 4, -16, -4, -4, -16, -16, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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': 2}
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id: 6876918
{'cdim': 2, 'counter': 99, 'faithful': False, 'group': '1600.1937', 'group_order': 1600, 'image': None, 'label': '1600.1937.2ck', 'multiplicity': 8, 'nt': [80, 0], 'qdim': 16, 'qvalues': [16, 16, -16, -16, -16, -16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 16, -4, 16, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, 4, 4, -4, -4, 4, 4, 4, -16, -4, -4, 4, 4, 4, 4, 4, -4, -16, 4, 4, -4, -4, -4, 4, 4, -4, 4, 4, -4, -16, -4, -4, 4, -4, 4, -16, 16, -4, 16, 4, 4, 16, 4, -16, -4, -4, -4, 16, -4, 4, 4, 4, 4, -4, -4, -4, 4, 4, -4, -4, 4, 4, 16, -4, 4, 4, 4, 4, -16, -4, -16, -4, 4, 4, -4, -4, 4, 4, 4, -16, 4, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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': 2}
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id: 6876819
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id: 6876820
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id: 6876821
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gps_char • Show schema
Hide schema
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id: 15737884
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id: 15737995
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id: 15738106
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id: 15738217
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id: 15738241
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id: 15738252
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id: 15738263
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id: 15738274
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id: 15738285
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id: 15737885
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id: 15737896
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id: 15737907
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id: 15737918
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id: 15737929
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id: 15737940
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id: 15737951
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id: 15737962
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id: 15738258
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id: 15738259
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id: 15738260
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id: 15738261
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id: 15738262
{'center': '10.a1', 'center_index': 10, 'center_order': 160, 'counter': 69, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1600.1937', 'group_counter': 1937, 'group_order': 1600, 'image': None, 'image_isoclass': '20.1', 'image_order': 20, 'indicator': -1, 'kernel': '20.b1', 'kernel_order': 80, 'label': '1600.1937.2ac1', 'nt': [20, 2], 'q_character': None, 'values': [[[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]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 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]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[1, 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id: 15738264
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id: 15738265
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id: 15738266
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id: 15738267
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id: 15738268
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id: 15738269
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id: 15738270
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id: 15738271
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id: 15738272
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id: 15738273
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id: 15738275
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id: 15738276
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id: 15738277
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id: 15738278
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id: 15738279
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id: 15738280
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id: 15738281
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id: 15738282
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id: 15738283
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id: 15738284
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id: 15738286
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id: 15738287
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id: 15738288
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id: 15738289
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id: 15738290
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id: 15738291
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id: 15738292
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id: 15738293
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id: 15738294
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id: 15738295
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id: 15737886
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id: 15737887
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id: 15737888
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id: 15737889
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id: 15737890
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id: 15737891
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id: 15737892
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id: 15737893
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id: 15737894
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id: 15737895
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id: 15737897
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id: 15737898
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id: 15737899
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id: 15737900
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id: 15737901
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id: 15737902
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id: 15737903
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id: 15737904
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id: 15737905
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id: 15737906
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id: 15737908
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id: 15737909
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id: 15737910
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id: 15737911
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id: 15737912
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id: 15737913
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id: 15737914
{'center': '20.a1', 'center_index': 20, 'center_order': 80, 'counter': 126, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1600.1937', 'group_counter': 1937, 'group_order': 1600, 'image': None, 'image_isoclass': '40.8', 'image_order': 40, 'indicator': 0, 'kernel': '40.e1', 'kernel_order': 40, 'label': '1600.1937.2as2', 'nt': [20, 4], 'q_character': None, 'values': [[[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, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, 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id: 15737915
{'center': '20.a1', 'center_index': 20, 'center_order': 80, 'counter': 127, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1600.1937', 'group_counter': 1937, 'group_order': 1600, 'image': None, 'image_isoclass': '40.8', 'image_order': 40, 'indicator': 0, 'kernel': '40.e1', 'kernel_order': 40, 'label': '1600.1937.2as3', 'nt': [20, 7], 'q_character': None, 'values': [[[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, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-2, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, 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-
id: 15737916
{'center': '20.a1', 'center_index': 20, 'center_order': 80, 'counter': 128, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1600.1937', 'group_counter': 1937, 'group_order': 1600, 'image': None, 'image_isoclass': '40.8', 'image_order': 40, 'indicator': 0, 'kernel': '40.e1', 'kernel_order': 40, 'label': '1600.1937.2as4', 'nt': [20, 4], 'q_character': None, 'values': [[[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, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-2, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, 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id: 15737917
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id: 15737919
{'center': '20.a1', 'center_index': 20, 'center_order': 80, 'counter': 130, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1600.1937', 'group_counter': 1937, 'group_order': 1600, 'image': None, 'image_isoclass': '40.8', 'image_order': 40, 'indicator': 0, 'kernel': '40.e1', 'kernel_order': 40, 'label': '1600.1937.2at2', 'nt': [20, 4], 'q_character': None, 'values': [[[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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-2, 0]], [[-1, 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id: 15737920
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id: 15737921
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id: 15737922
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id: 15737923
{'center': '20.a1', 'center_index': 20, 'center_order': 80, 'counter': 134, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1600.1937', 'group_counter': 1937, 'group_order': 1600, 'image': None, 'image_isoclass': '40.8', 'image_order': 40, 'indicator': 0, 'kernel': '40.e1', 'kernel_order': 40, 'label': '1600.1937.2au2', 'nt': [20, 4], 'q_character': None, 'values': [[[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, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, 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id: 15737924
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id: 15737925
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id: 15737926
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id: 15737927
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id: 15737928
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id: 15737930
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id: 15737931
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id: 15737932
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id: 15737933
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id: 15737934
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id: 15737935
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id: 15737936
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id: 15737937
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id: 15737938
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id: 15737939
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id: 15737941
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id: 15737942
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id: 15737943
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id: 15737944
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id: 15737945
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id: 15737946
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id: 15737947
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id: 15737973
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id: 15737948
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id: 15737949
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id: 15737950
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id: 15737952
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id: 15737953
{'center': '20.a1', 'center_index': 20, 'center_order': 80, 'counter': 161, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1600.1937', 'group_counter': 1937, 'group_order': 1600, 'image': None, 'image_isoclass': '40.8', 'image_order': 40, 'indicator': 0, 'kernel': '40.e1', 'kernel_order': 40, 'label': '1600.1937.2bb1', 'nt': [20, 7], 'q_character': None, 'values': [[[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, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, 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id: 15737954
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id: 15737955
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id: 15737956
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id: 15737957
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id: 15737958
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id: 15737959
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id: 15737960
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id: 15737961
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id: 15737963
{'center': '20.a1', 'center_index': 20, 'center_order': 80, 'counter': 170, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1600.1937', 'group_counter': 1937, 'group_order': 1600, 'image': None, 'image_isoclass': '40.8', 'image_order': 40, 'indicator': 0, 'kernel': '40.e1', 'kernel_order': 40, 'label': '1600.1937.2bd2', 'nt': [20, 4], 'q_character': None, 'values': [[[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]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, 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id: 15737964
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id: 15737965
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id: 15737966
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id: 15737967
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id: 15737968
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id: 15737969
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id: 15737970
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id: 15737971
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id: 15737972
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id: 15737974
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id: 15737975
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id: 15737976
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id: 15737977
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id: 15737978
{'center': '20.a1', 'center_index': 20, 'center_order': 80, 'counter': 184, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [5, 0, -5, 0, 1], 'group': '1600.1937', 'group_counter': 1937, 'group_order': 1600, 'image': None, 'image_isoclass': '40.6', 'image_order': 40, 'indicator': 1, 'kernel': '40.a1', 'kernel_order': 40, 'label': '1600.1937.2bg4', 'nt': [20, 10], 'q_character': None, 'values': [[[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, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 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id: 15737979
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id: 15737980
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id: 15737981
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id: 15737982
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id: 15737983
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id: 15737985
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id: 15737986
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id: 15737987
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id: 15737988
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id: 15737989
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id: 15737990
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id: 15737991
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id: 15737992
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id: 15737993
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id: 15737994
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id: 15737997
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id: 15737998
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id: 15737999
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id: 15738000
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id: 15738001
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id: 15738002
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id: 15738003
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id: 15738004
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id: 15738005
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id: 15738006
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id: 15738008
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id: 15738009
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id: 15738010
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id: 15738011
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id: 15738012
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id: 15738013
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id: 15738014
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id: 15738015
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id: 15738016
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id: 15738017
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id: 15738019
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id: 15738020
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id: 15738021
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id: 15738022
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id: 15738023
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id: 15738024
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id: 15738025
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id: 15738026
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id: 15738027
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id: 15738028
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id: 15738030
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id: 15738031
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id: 15738032
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id: 15738033
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id: 15738034
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id: 15738035
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id: 15738036
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id: 15738037
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id: 15738038
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id: 15738039
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id: 15738041
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id: 15738042
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id: 15738043
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id: 15738044
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id: 15738045
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id: 15738046
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id: 15738047
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id: 15738048
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id: 15738049
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id: 15738050
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id: 15738052
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id: 15738053
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id: 15738054
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id: 15738055
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id: 15738056
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id: 15738057
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id: 15738058
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id: 15738059
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id: 15738060
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id: 15738061
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id: 15738063
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id: 15738064
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id: 15738065
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id: 15738066
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id: 15738067
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id: 15738068
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id: 15738069
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id: 15738070
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id: 15738071
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id: 15738072
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id: 15738074
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id: 15738075
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id: 15738076
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id: 15738077
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id: 15738078
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id: 15738079
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id: 15738080
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id: 15738081
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id: 15738082
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id: 15738083
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id: 15738085
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id: 15738086
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id: 15738087
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id: 15738088
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id: 15738089
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id: 15738090
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id: 15738091
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id: 15738092
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id: 15738093
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id: 15738094
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id: 15738096
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id: 15738097
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id: 15738098
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id: 15738099
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id: 15738100
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id: 15738101
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id: 15738102
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id: 15738103
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id: 15738104
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id: 15738105
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id: 15738108
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id: 15737984
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id: 15738109
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id: 15738110
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id: 15738111
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id: 15738112
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id: 15738113
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id: 15738114
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id: 15738115
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id: 15738116
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id: 15738117
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id: 15738119
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id: 15738120
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id: 15738121
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id: 15738122
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id: 15738123
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id: 15738124
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id: 15738125
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id: 15738126
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id: 15738127
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id: 15738128
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id: 15738130
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id: 15738131
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id: 15738132
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id: 15738133
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id: 15738134
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-
id: 15738135
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id: 15738136
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id: 15738137
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id: 15738138
{'center': '40.a1', 'center_index': 40, 'center_order': 40, 'counter': 328, 'cyclotomic_n': 40, 'dim': 2, 'faithful': False, 'field': [1, 0, 12, 0, 19, 0, 8, 0, 1], 'group': '1600.1937', 'group_counter': 1937, 'group_order': 1600, 'image': None, 'image_isoclass': '80.6', 'image_order': 80, 'indicator': 0, 'kernel': '80.b1', 'kernel_order': 20, 'label': '1600.1937.2cd4', 'nt': [40, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[2, 0]], [[2, 0]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 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id: 15738139
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-
id: 15738141
{'center': '40.a1', 'center_index': 40, 'center_order': 40, 'counter': 330, 'cyclotomic_n': 40, 'dim': 2, 'faithful': False, 'field': [1, 0, 12, 0, 19, 0, 8, 0, 1], 'group': '1600.1937', 'group_counter': 1937, 'group_order': 1600, 'image': None, 'image_isoclass': '80.6', 'image_order': 80, 'indicator': 0, 'kernel': '80.b1', 'kernel_order': 20, 'label': '1600.1937.2cd6', 'nt': [40, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[2, 0]], [[2, 0]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 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id: 15738142
{'center': '40.a1', 'center_index': 40, 'center_order': 40, 'counter': 331, 'cyclotomic_n': 40, 'dim': 2, 'faithful': False, 'field': [1, 0, 12, 0, 19, 0, 8, 0, 1], 'group': '1600.1937', 'group_counter': 1937, 'group_order': 1600, 'image': None, 'image_isoclass': '80.6', 'image_order': 80, 'indicator': 0, 'kernel': '80.b1', 'kernel_order': 20, 'label': '1600.1937.2cd7', 'nt': [40, 47], '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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[2, 0]], [[2, 0]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 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id: 15738143
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id: 15738144
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id: 15738145
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id: 15738146
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id: 15738147
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id: 15738148
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id: 15738149
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id: 15738150
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id: 15738152
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id: 15738153
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id: 15738154
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id: 15738155
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id: 15738156
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id: 15738157
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id: 15738158
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id: 15738159
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id: 15738160
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id: 15738161
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id: 15738163
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id: 15738164
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id: 15738165
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id: 15738166
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id: 15738167
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id: 15738168
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id: 15738169
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id: 15738170
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id: 15738171
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id: 15738172
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id: 15738174
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id: 15738175
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id: 15738176
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id: 15738177
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id: 15738178
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id: 15738179
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id: 15738180
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id: 15738181
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id: 15738182
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id: 15738183
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id: 15738185
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id: 15738186
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id: 15738187
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id: 15738188
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id: 15738189
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id: 15738190
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id: 15738191
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id: 15738192
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id: 15738193
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id: 15738194
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id: 15738196
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id: 15738197
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id: 15738198
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id: 15738199
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id: 15738200
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id: 15738201
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id: 15738202
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id: 15738203
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id: 15738204
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id: 15738205
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id: 15738207
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id: 15738208
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id: 15738209
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id: 15738210
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id: 15738211
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id: 15738212
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id: 15738213
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id: 15738214
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id: 15738215
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id: 15738216
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id: 15738219
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id: 15738220
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id: 15738221
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id: 15738222
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id: 15738223
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id: 15738224
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id: 15738225
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id: 15738226
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id: 15738227
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id: 15738228
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id: 15738230
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id: 15738231
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id: 15738232
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id: 15737996
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id: 15738007
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id: 15738018
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id: 15738029
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id: 15738040
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id: 15738051
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id: 15738062
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id: 15738073
{'center': '10.a1', 'center_index': 10, 'center_order': 160, 'counter': 27, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1600.1937', 'group_counter': 1937, 'group_order': 1600, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1', 'kernel_order': 160, 'label': '1600.1937.2h1', 'nt': [5, 2], 'q_character': None, 'values': [[[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, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, 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id: 15738084
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id: 15738095
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id: 15738107
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id: 15738118
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id: 15738129
{'center': '10.a1', 'center_index': 10, 'center_order': 160, 'counter': 32, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [-1, -1, 1], 'group': '1600.1937', 'group_counter': 1937, 'group_order': 1600, 'image': None, 'image_isoclass': '10.1', 'image_order': 10, 'indicator': 1, 'kernel': '10.a1', 'kernel_order': 160, 'label': '1600.1937.2j2', 'nt': [5, 2], 'q_character': None, 'values': [[[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]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, 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id: 15738140
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id: 15738151
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id: 15738162
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id: 15738173
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id: 15738184
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id: 15738195
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id: 15738206
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id: 15738218
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id: 15738229
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id: 15738233
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id: 15738234
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id: 15738235
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id: 15738236
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id: 15738237
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id: 15738238
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id: 15738239
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id: 15738240
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id: 15738242
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id: 15738243
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id: 15738244
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id: 15738245
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id: 15738246
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id: 15738247
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id: 15738248
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id: 15738249
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id: 15738250
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id: 15738251
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id: 15738253
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id: 15738254
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id: 15738255
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id: 15738256
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id: 15738257
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gps_subgroup_search • Show schema
Hide schema
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id: 77145073
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1600, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 10, 'label': '1600.1937.1.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': '1600.1937', 'subgroup_hash': 1937, 'subgroup_order': 1600, 'subgroup_tex': 'C_{10}^2.D_8', 'supersolvable': True, 'sylow': 0}
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id: 77145084
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 800, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.2.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': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '800.904', 'subgroup_hash': 904, 'subgroup_order': 800, 'subgroup_tex': 'C_{10}^2.D_4', 'supersolvable': True, 'sylow': 0}
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id: 77145095
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 800, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': ['F'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '800.948', 'subgroup_hash': 948, 'subgroup_order': 800, 'subgroup_tex': 'C_2\\times C_{10}\\times C_{40}', 'supersolvable': True, 'sylow': 0}
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id: 77145106
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 400, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '400.201', 'subgroup_hash': 201, 'subgroup_order': 400, 'subgroup_tex': 'C_2\\times C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 77145117
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 400, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1', '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': '400.111', 'subgroup_hash': 111, 'subgroup_order': 400, 'subgroup_tex': 'C_{10}\\times C_{40}', 'supersolvable': True, 'sylow': 0}
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id: 77145128
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 400, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', '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': '400.101', 'subgroup_hash': 101, 'subgroup_order': 400, 'subgroup_tex': 'C_{10}.D_{20}', 'supersolvable': True, 'sylow': 0}
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id: 77145139
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 200, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '400.199', 'subgroup_hash': 199, 'subgroup_order': 400, 'subgroup_tex': 'C_{10}^2:C_4', 'supersolvable': True, 'sylow': 0}
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id: 77145150
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 200, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.4.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '400.101', 'subgroup_hash': 101, 'subgroup_order': 400, 'subgroup_tex': 'C_{10}.D_{20}', 'supersolvable': True, 'sylow': 0}
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id: 77145161
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 200, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.4.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '400.111', 'subgroup_hash': 111, 'subgroup_order': 400, 'subgroup_tex': 'C_{10}\\times C_{40}', 'supersolvable': True, 'sylow': 0}
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id: 77145074
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 160, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.5.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '320.109', 'subgroup_hash': 109, 'subgroup_order': 320, 'subgroup_tex': 'C_{20}.C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 77145075
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 200, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': ['S', 'C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '200.52', 'subgroup_hash': 52, 'subgroup_order': 200, 'subgroup_tex': 'C_2\\times C_{10}^2', 'supersolvable': True, 'sylow': 0}
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id: 77145076
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 200, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1', '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': '200.37', 'subgroup_hash': 37, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 77145077
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 200, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.8.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': '8.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '200.37', 'subgroup_hash': 37, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 77145078
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 200, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '200.37', 'subgroup_hash': 37, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 77145079
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 200, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.8.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': '8.3', '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': '200.37', 'subgroup_hash': 37, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 77145080
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 100, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.8.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '200.35', 'subgroup_hash': 35, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}.D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 77145081
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 100, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.8.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': '200.35', 'subgroup_hash': 35, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}.D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 77145082
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 100, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.8.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '200.35', 'subgroup_hash': 35, 'subgroup_order': 200, 'subgroup_tex': 'C_{10}.D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 77145083
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 100, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.8.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '200.17', 'subgroup_hash': 17, 'subgroup_order': 200, 'subgroup_tex': 'C_5\\times C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 77145085
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 160, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.10.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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.190', 'subgroup_hash': 190, 'subgroup_order': 160, 'subgroup_tex': 'C_2^2\\times C_{40}', 'supersolvable': True, 'sylow': 0}
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id: 77145086
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 80, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.10.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '160.146', 'subgroup_hash': 146, 'subgroup_order': 160, 'subgroup_tex': 'C_2^2.D_{20}', 'supersolvable': True, 'sylow': 0}
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id: 77145087
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 100, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.16.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': '16.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '100.16', 'subgroup_hash': 16, 'subgroup_order': 100, 'subgroup_tex': 'C_{10}^2', 'supersolvable': True, 'sylow': 0}
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id: 77145088
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 100, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.16.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': '16.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '100.16', 'subgroup_hash': 16, 'subgroup_order': 100, 'subgroup_tex': 'C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 77145089
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 100, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.16.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': '16.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '100.16', 'subgroup_hash': 16, 'subgroup_order': 100, 'subgroup_tex': 'C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 77145090
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 100, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.16.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': '16.9', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '100.16', 'subgroup_hash': 16, 'subgroup_order': 100, 'subgroup_tex': 'C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 77145091
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 100, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.16.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': '16.3', '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '100.16', 'subgroup_hash': 16, 'subgroup_order': 100, 'subgroup_tex': 'C_{10}^2', 'supersolvable': True, 'sylow': 0}
-
id: 77145092
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 100, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.16.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': '16.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '100.8', 'subgroup_hash': 8, 'subgroup_order': 100, 'subgroup_tex': 'C_5\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 77145093
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 100, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.16.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '100.8', 'subgroup_hash': 8, 'subgroup_order': 100, 'subgroup_tex': 'C_5\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 77145094
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 100, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.16.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.h1', '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '100.8', 'subgroup_hash': 8, 'subgroup_order': 100, 'subgroup_tex': 'C_5\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 77145096
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 50, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.16.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '100.7', 'subgroup_hash': 7, 'subgroup_order': 100, 'subgroup_tex': 'C_5^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 77145097
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 80, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.20.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': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 77145098
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 80, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.20.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.23', 'subgroup_hash': 23, 'subgroup_order': 80, 'subgroup_tex': 'C_2\\times C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 77145099
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 40, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.20.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '80.43', 'subgroup_hash': 43, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2.D_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 77145100
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 40, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.20.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '80.13', 'subgroup_hash': 13, 'subgroup_order': 80, 'subgroup_tex': 'C_{20}:C_4', 'supersolvable': True, 'sylow': 0}
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id: 77145101
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 40, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.20.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '80.13', 'subgroup_hash': 13, 'subgroup_order': 80, 'subgroup_tex': 'C_{20}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 77145102
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 40, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.20.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '80.23', 'subgroup_hash': 23, 'subgroup_order': 80, 'subgroup_tex': 'C_2\\times C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 77145103
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1600.1937.25.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '25.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': 25, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.21', 'subgroup_hash': 21, 'subgroup_order': 64, 'subgroup_tex': 'C_4.C_4^2', 'supersolvable': True, 'sylow': 2}
-
id: 77145104
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 50, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.32.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': '32.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:C_4', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 77145105
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 50, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.32.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': '32.14', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 77145107
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 50, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.32.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': '32.9', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 77145108
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 50, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.32.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': '32.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 77145109
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 50, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.32.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': '32.2', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2.C_4^2', 'simple': False, 'solvable': True, 'special_labels': ['L2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': 5, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 77145110
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 40, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.40.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': 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: 77145111
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 40, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.40.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:C_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: 77145112
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 40, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.40.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': '40.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:Q_8', '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: 77145113
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 40, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.40.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': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 77145114
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 40, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.40.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': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 77145115
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 20, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.40.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '40.7', 'subgroup_hash': 7, 'subgroup_order': 40, 'subgroup_tex': 'C_{10}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 77145116
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 20, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.40.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '40.7', 'subgroup_hash': 7, 'subgroup_order': 40, 'subgroup_tex': 'C_{10}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 77145118
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 20, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.40.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '40.7', 'subgroup_hash': 7, 'subgroup_order': 40, 'subgroup_tex': 'C_{10}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 77145119
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 20, 'counter': 51, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1600.1937.40.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': '40.2', 'subgroup_hash': 2, 'subgroup_order': 40, 'subgroup_tex': 'C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 77145120
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 32, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.50.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '50.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '50.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:D_5', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 77145121
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.50.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '50.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': 50, 'quotient_simple': 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: 77145122
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 25, 'counter': 54, 'cyclic': False, 'direct': False, 'hall': 5, 'label': '1600.1937.64.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': '64.21', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.C_4^2', 'simple': False, 'solvable': True, 'special_labels': ['L3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': 2, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 5}
-
id: 77145123
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 20, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.80.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': '80.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}:C_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: 77145124
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 20, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.80.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': '80.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{40}:C_2', '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: 77145125
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 20, 'counter': 57, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.80.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': '80.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{40}', '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: 77145126
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 20, 'counter': 58, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.80.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': '80.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:Q_{16}', '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: 77145127
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 20, 'counter': 59, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.80.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': '80.14', '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': 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: 77145129
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 20, 'counter': 60, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.1937.80.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': '80.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 77145130
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 20, 'counter': 61, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.1937.80.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, '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': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 77145131
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 20, 'counter': 62, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.1937.80.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.19', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 19, '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': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 77145132
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 10, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.80.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '20.1', 'subgroup_hash': 1, 'subgroup_order': 20, 'subgroup_tex': 'C_5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 77145133
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 16, 'counter': 64, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.100.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '100.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '100.15', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:D_{10}', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'U1'], '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: 77145134
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 16, 'counter': 65, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.100.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '100.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '100.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 77145135
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.100.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '100.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': 100, 'quotient_simple': 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: 77145136
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.100.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '100.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': 100, 'quotient_simple': 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: 77145137
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.100.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '100.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': 100, 'quotient_simple': 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: 77145138
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 8, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.100.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '100.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': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 77145140
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 10, 'counter': 70, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.1937.160.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': '160.24', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 24, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{40}:C_4', '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: 77145141
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 10, 'counter': 71, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.1937.160.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': '160.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 25, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{40}:C_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: 77145142
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 10, 'counter': 72, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.1937.160.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': '160.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{20}:C_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: 77145143
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 10, 'counter': 73, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.1937.160.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': '160.23', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}.Q_{16}', '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: 77145144
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 10, 'counter': 74, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.1937.160.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': '160.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}.C_4^2', '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: 77145145
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 8, 'counter': 75, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.200.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '200.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '200.34', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 34, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:D_{20}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U2'], '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: 77145146
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 8, 'counter': 76, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.200.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '200.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '200.35', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 35, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}.D_{10}', '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: 77145147
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 8, 'counter': 77, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.200.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '200.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '200.32', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 32, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5^2:Q_8', '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: 77145148
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 8, 'counter': 78, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.200.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '200.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '200.33', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 33, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}:D_5', '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: 77145149
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 8, 'counter': 79, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.200.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '200.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '200.36', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2:C_2', '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: 77145151
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.200.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '200.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': 200, 'quotient_simple': 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: 77145152
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.200.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '200.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': 200, 'quotient_simple': 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: 77145153
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1600.1937.200.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '200.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': 200, 'quotient_simple': 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: 77145154
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 4, 'counter': 83, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1600.1937.200.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '200.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': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 77145155
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 5, 'counter': 84, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.1937.320.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': '320.109', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 109, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 320, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}.C_4^2', 'simple': True, 'solvable': True, 'special_labels': ['C7'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
-
id: 77145156
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 4, 'counter': 85, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.400.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '400.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '400.101', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 101, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}.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}
-
id: 77145157
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 4, 'counter': 86, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.400.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '400.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '400.94', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 94, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{40}:D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 77145158
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 4, 'counter': 87, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.400.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '400.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '400.95', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 95, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:D_{40}', '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: 77145159
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 4, 'counter': 88, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.400.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '400.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '400.96', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 96, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5^2:Q_{16}', '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: 77145160
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 4, 'counter': 89, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1600.1937.400.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '400.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '400.102', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 102, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}.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: 77145162
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 4, 'counter': 90, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.1937.400.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '400.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '400.99', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 99, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5^2:C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 77145163
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': False, 'core_order': 4, 'counter': 91, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.1937.400.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '400.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '400.100', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 100, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 77145164
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 800, 'characteristic': True, 'core_order': 4, 'counter': 92, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.1937.400.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '400.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '400.107', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 107, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 77145165
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 93, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1600.1937.400.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': 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: 77145166
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 2, 'counter': 94, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.1937.800.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '800.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '800.343', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 343, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 800, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2.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: 77145167
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 2, 'counter': 95, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.1937.800.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '800.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '800.344', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 344, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 800, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}.D_{40}', '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: 77145168
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 2, 'counter': 96, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.1937.800.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '800.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '800.347', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 347, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 800, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}.D_{40}', '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: 77145169
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': False, 'core_order': 2, 'counter': 97, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.1937.800.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '800.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '800.342', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 342, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 800, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2.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: 77145170
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 2, 'counter': 98, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1600.1937.800.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '800.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '800.357', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 357, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 800, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2.D_4', '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: 77145171
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1600.1937', 'ambient_counter': 1937, 'ambient_order': 1600, 'ambient_tex': 'C_{10}^2.D_8', 'central': True, 'central_factor': False, 'centralizer_order': 1600, 'characteristic': True, 'core_order': 1, 'counter': 99, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1600.1937.1600.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1600.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '1600.1937', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1937, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1600, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2.D_8', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U3', '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: 77145073
{'ambient': '1600.1937', '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': '200.a1', 'complements': ['1600.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '5.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1649, 5019, 3292, 6028], 'generators': [1, 800, 32, 2, 80, 320, 20, 840], 'label': '1600.1937.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '200.34', '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': '200.34'}
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id: 77145074
{'ambient': '1600.1937', 'aut_centralizer_order': 20, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': 30, 'aut_weyl_group': None, 'aut_weyl_index': 600, 'centralizer': '200.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['1.a1'], 'contains': ['10.a1', '10.b1', '25.a1'], 'core': '10.a1', 'coset_action_label': None, 'count': 30, 'diagramx': [419, -1, 3292, -1], 'generators': [1, 80, 2, 840, 100, 320, 800], 'label': '1600.1937.5.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': '200.34', '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': '40.6'}
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id: 77145075
{'ambient': '1600.1937', 'aut_centralizer_order': 6400, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 6400, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.d1'], 'contains': ['16.a1', '16.b1', '16.c1', '16.d1', '16.e1', '40.a1'], 'core': '8.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6932, 4127, 6324, 2695], 'generators': [2, 800, 32, 80, 320], 'label': '1600.1937.8.a1', 'mobius_quo': -40, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1'], 'normal_contains': ['16.a1', '16.b1', '16.c1', '16.d1', '16.e1', '40.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '200.34', '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'}
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id: 77145076
{'ambient': '1600.1937', 'aut_centralizer_order': 6400, 'aut_label': '8.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 6400, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.b1'], 'contains': ['16.a1', '16.f1', '16.h1', '40.b1'], 'core': '8.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2993, 5119, 2397, 6476], 'generators': [40, 32, 320, 800, 80], 'label': '1600.1937.8.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1', '4.b1'], 'normal_contains': ['16.a1', '16.f1', '16.h1', '40.b1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '400.101', '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'}
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id: 77145077
{'ambient': '1600.1937', 'aut_centralizer_order': 3200, 'aut_label': '8.c1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '1920.240757', 'aut_weyl_index': 3200, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1'], 'contains': ['16.a1', '16.g1', '40.c1'], 'core': '8.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4550, 6128, 4041, 4957], 'generators': [842, 32, 320, 800, 80], 'label': '1600.1937.8.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': ['4.a1'], 'normal_contains': ['16.a1', '16.g1', '40.c1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': '400.101', '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: 77145078
{'ambient': '1600.1937', 'aut_centralizer_order': 3200, 'aut_label': '8.d1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 6400, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.c1'], 'contains': ['16.e1', '16.f1', '16.g1', '40.d1'], 'core': '8.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [5258, 8208, 4595, 4198], 'generators': [2, 32, 320, 840, 80], 'label': '1600.1937.8.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': ['4.a1', '4.c1'], 'normal_contains': ['16.e1', '16.f1', '16.g1', '40.d1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': '400.102', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 77145079
{'ambient': '1600.1937', 'aut_centralizer_order': 3200, 'aut_label': '8.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 6400, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.e1', '4.f1'], 'contains': ['16.e1', '16.g1', '16.h1', '40.e1'], 'core': '8.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [3701, 7137, 3487, 5716], 'generators': [2, 32, 320, 40, 80], 'label': '1600.1937.8.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': ['4.a1'], 'normal_contains': ['16.e1', '16.g1', '16.h1', '40.e1'], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': '400.102', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 77145080
{'ambient': '1600.1937', 'aut_centralizer_order': 16, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '48000.bi', 'aut_weyl_index': 128, 'centralizer': '200.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.d1'], 'contains': ['16.b1', '16.i1', '40.f1'], 'core': '16.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [8679, -1, 8297, -1], 'generators': [921, 2, 32, 800, 320], 'label': '1600.1937.8.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '8.f1', 'projective_image': '400.94', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': '50.4'}
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id: 77145081
{'ambient': '1600.1937', 'aut_centralizer_order': 16, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '48000.bi', 'aut_weyl_index': 128, 'centralizer': '200.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.d1'], 'contains': ['16.c1', '16.i1', '40.g1'], 'core': '16.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [9546, -1, 9017, -1], 'generators': [841, 2, 32, 880, 320], 'label': '1600.1937.8.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '8.g1', 'projective_image': '400.95', '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': '50.4'}
-
id: 77145082
{'ambient': '1600.1937', 'aut_centralizer_order': 16, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '48000.bi', 'aut_weyl_index': 128, 'centralizer': '200.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.c1', '4.d1', '4.e1'], 'contains': ['16.e1', '16.i1', '40.h1'], 'core': '16.e1', 'coset_action_label': None, 'count': 8, 'diagramx': [7635, -1, 7423, -1], 'generators': [1, 2, 32, 80, 320], 'label': '1600.1937.8.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.h1', 'projective_image': '400.102', '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': '100.15'}
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id: 77145083
{'ambient': '1600.1937', 'aut_centralizer_order': 800, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1920.240757', 'aut_weyl_index': 3200, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '4.f1'], 'contains': ['16.h1', '40.i1'], 'core': '16.h1', 'coset_action_label': None, 'count': 4, 'diagramx': [1958, -1, 948, -1], 'generators': [20, 320, 40, 32, 80], 'label': '1600.1937.8.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.i1', 'projective_image': '800.357', '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': '1.1'}
-
id: 77145084
{'ambient': '1600.1937', 'aut_centralizer_order': 8, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '200.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.c1', '4.d1', '4.e1', '10.b1'], 'core': '2.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3753, 5682, 5274, 5528], 'generators': [1, 32, 800, 2, 840, 320, 80], 'label': '1600.1937.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.c1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '200.34', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '200.34'}
-
id: 77145085
{'ambient': '1600.1937', 'aut_centralizer_order': 8000, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '128.2154', 'aut_weyl_index': 48000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['2.b1', '5.a1'], 'contains': ['20.a1', '20.b1', '20.f1', '50.a1'], 'core': '10.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [866, 2078, 1880, 7774], 'generators': [2, 80, 800, 320, 100, 40], 'label': '1600.1937.10.a1', 'mobius_quo': 0, 'mobius_sub': 5, 'normal_closure': '10.a1', 'normal_contained_in': ['2.b1'], 'normal_contains': ['20.a1', '20.b1', '50.a1'], 'normalizer': '1.a1', 'old_label': '10.a1', 'projective_image': '200.34', '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: 77145086
{'ambient': '1600.1937', 'aut_centralizer_order': 160, 'aut_label': '10.b1', 'aut_quo_index': None, 'aut_stab_index': 60, 'aut_weyl_group': '640.21483', 'aut_weyl_index': 9600, 'centralizer': '200.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['2.a1', '5.a1'], 'contains': ['20.a1', '20.c1', '20.d1', '20.e1', '50.b1'], 'core': '20.a1', 'coset_action_label': None, 'count': 60, 'diagramx': [2137, -1, 5018, -1], 'generators': [1, 320, 800, 2, 840, 80], 'label': '1600.1937.10.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': '200.34', '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': '40.6'}
-
id: 77145087
{'ambient': '1600.1937', 'aut_centralizer_order': 12800, 'aut_label': '16.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '480.218', 'aut_weyl_index': 12800, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.b1', '8.c1'], 'contains': ['32.a1', '32.b1', '32.e1', '80.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5996, 5119, 5507, 3131], 'generators': [80, 32, 320, 800], 'label': '1600.1937.16.a1', 'mobius_quo': 10, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1', '8.c1'], 'normal_contains': ['32.a1', '32.b1', '32.e1', '80.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '400.101', '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: 77145088
{'ambient': '1600.1937', 'aut_centralizer_order': 6400, 'aut_label': '16.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '480.218', 'aut_weyl_index': 12800, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.f1'], 'contains': ['32.a1', '32.c1', '32.d1', '80.b1'], 'core': '16.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [8540, 5698, 7945, 2244], 'generators': [2, 32, 320, 800], 'label': '1600.1937.16.b1', 'mobius_quo': 10, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': ['8.a1'], 'normal_contains': ['32.a1', '32.c1', '32.d1', '80.b1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': '400.94', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145089
{'ambient': '1600.1937', 'aut_centralizer_order': 6400, 'aut_label': '16.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 6400, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.g1'], 'contains': ['32.b1', '32.c1', '80.c1'], 'core': '16.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [9379, 4121, 8262, 1157], 'generators': [2, 32, 320, 880], 'label': '1600.1937.16.c1', 'mobius_quo': 10, 'mobius_sub': 0, 'normal_closure': '16.c1', 'normal_contained_in': ['8.a1'], 'normal_contains': ['32.b1', '32.c1', '80.c1'], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': '400.95', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145090
{'ambient': '1600.1937', 'aut_centralizer_order': 6400, 'aut_label': '16.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 6400, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1'], 'contains': ['32.b1', '32.d1', '80.d1'], 'core': '16.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [7758, 3537, 7627, 1700], 'generators': [82, 32, 320, 880], 'label': '1600.1937.16.d1', 'mobius_quo': 10, 'mobius_sub': 0, 'normal_closure': '16.d1', 'normal_contained_in': ['8.a1'], 'normal_contains': ['32.b1', '32.d1', '80.d1'], 'normalizer': '1.a1', 'old_label': '16.d1', 'projective_image': '400.96', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145091
{'ambient': '1600.1937', 'aut_centralizer_order': 6400, 'aut_label': '16.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '480.218', 'aut_weyl_index': 12800, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.d1', '8.e1', '8.h1'], 'contains': ['32.c1', '32.d1', '32.e1', '80.e1'], 'core': '16.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [6932, 7816, 6364, 2695], 'generators': [2, 32, 320, 80], 'label': '1600.1937.16.e1', 'mobius_quo': 10, 'mobius_sub': 0, 'normal_closure': '16.e1', 'normal_contained_in': ['8.a1', '8.d1', '8.e1'], 'normal_contains': ['32.c1', '32.d1', '32.e1', '80.e1'], 'normalizer': '1.a1', 'old_label': '16.e1', 'projective_image': '400.102', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145092
{'ambient': '1600.1937', 'aut_centralizer_order': 6400, 'aut_label': '16.f1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 6400, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '8.d1'], 'contains': ['32.e1', '80.f1'], 'core': '16.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [4514, 8750, 3621, 5065], 'generators': [840, 320, 80, 32], 'label': '1600.1937.16.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.f1', 'normal_contained_in': ['8.b1', '8.d1'], 'normal_contains': ['32.e1', '80.f1'], 'normalizer': '1.a1', 'old_label': '16.f1', 'projective_image': '800.357', '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: 77145093
{'ambient': '1600.1937', 'aut_centralizer_order': 3200, 'aut_label': '16.g1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 6400, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.c1', '8.d1', '8.e1'], 'contains': ['32.e1', '80.g1'], 'core': '16.g1', 'coset_action_label': None, 'count': 2, 'diagramx': [5120, 9615, 4096, 4413], 'generators': [842, 320, 80, 32], 'label': '1600.1937.16.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.g1', 'normal_contained_in': ['8.c1', '8.d1', '8.e1'], 'normal_contains': ['32.e1', '80.g1'], 'normalizer': '1.a1', 'old_label': '16.g1', 'projective_image': '800.357', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145094
{'ambient': '1600.1937', 'aut_centralizer_order': 6400, 'aut_label': '16.h1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '960.5693', 'aut_weyl_index': 6400, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '8.e1', '8.i1'], 'contains': ['32.e1', '80.h1'], 'core': '16.h1', 'coset_action_label': None, 'count': 1, 'diagramx': [3336, 7094, 1738, 5716], 'generators': [40, 320, 80, 32], 'label': '1600.1937.16.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.h1', 'normal_contained_in': ['8.b1', '8.e1'], 'normal_contains': ['32.e1', '80.h1'], 'normalizer': '1.a1', 'old_label': '16.h1', 'projective_image': '800.357', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.h1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145095
{'ambient': '1600.1937', 'aut_centralizer_order': 400, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 400, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.f1', '10.a1'], 'core': '2.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1649, 4354, 2426, 6528], 'generators': [2, 40, 800, 32, 20, 80, 320], 'label': '1600.1937.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '10.a1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '200.34', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145096
{'ambient': '1600.1937', 'aut_centralizer_order': 16, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '24000.bv', 'aut_weyl_index': 256, 'centralizer': '200.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.f1', '8.g1', '8.h1'], 'contains': ['32.c1', '80.i1'], 'core': '32.c1', 'coset_action_label': None, 'count': 16, 'diagramx': [9804, -1, 9568, -1], 'generators': [1, 32, 320, 2], 'label': '1600.1937.16.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1', 'old_label': '16.i1', 'projective_image': '800.347', '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': '50.4'}
-
id: 77145097
{'ambient': '1600.1937', 'aut_centralizer_order': 64000, 'aut_label': '20.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '16.10', 'aut_weyl_index': 384000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.a1', '10.a1', '10.b1'], 'contains': ['40.a1', '40.b1', '40.c1', '40.d1', '40.e1', '100.a1'], 'core': '20.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2405, 2928, 2942, 7327], 'generators': [2, 800, 320, 840, 80], 'label': '1600.1937.20.a1', 'mobius_quo': 0, 'mobius_sub': -10, 'normal_closure': '20.a1', 'normal_contained_in': ['4.a1', '10.a1'], 'normal_contains': ['40.a1', '40.b1', '40.c1', '40.d1', '40.e1', '100.a1'], 'normalizer': '1.a1', 'old_label': '20.a1', 'projective_image': '200.34', '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: 77145098
{'ambient': '1600.1937', 'aut_centralizer_order': 16000, 'aut_label': '20.b1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '32.45', 'aut_weyl_index': 192000, 'centralizer': '2.b1', 'complements': ['80.i1'], 'conjugacy_class_count': 12, 'contained_in': ['4.b1', '10.a1'], 'contains': ['40.b1', '40.i1', '100.b1'], 'core': '20.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [866, 2003, 472, 8222], 'generators': [100, 320, 40, 800, 80], 'label': '1600.1937.20.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.b1', 'normal_contained_in': ['4.b1', '10.a1'], 'normal_contains': ['40.b1', '100.b1'], 'normalizer': '1.a1', 'old_label': '20.b1', 'projective_image': '400.101', '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: 77145099
{'ambient': '1600.1937', 'aut_centralizer_order': 320, 'aut_label': '20.c1', 'aut_quo_index': None, 'aut_stab_index': 120, 'aut_weyl_group': '160.236', 'aut_weyl_index': 38400, 'centralizer': '200.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['4.d1', '10.b1'], 'contains': ['40.a1', '40.f1', '40.g1', '40.h1', '100.c1'], 'core': '40.a1', 'coset_action_label': None, 'count': 120, 'diagramx': [6417, -1, 6866, -1], 'generators': [841, 800, 2, 880, 320], 'label': '1600.1937.20.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': '200.34', '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': '20.4'}
-
id: 77145100
{'ambient': '1600.1937', 'aut_centralizer_order': 160, 'aut_label': '20.d1', 'aut_quo_index': None, 'aut_stab_index': 120, 'aut_weyl_group': '320.1595', 'aut_weyl_index': 19200, 'centralizer': '200.a1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['4.c1', '10.b1'], 'contains': ['40.d1', '40.h1', '100.d1'], 'core': '40.d1', 'coset_action_label': None, 'count': 120, 'diagramx': [4427, -1, 5880, -1], 'generators': [1, 2, 80, 840, 320], 'label': '1600.1937.20.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.d1', 'projective_image': '400.102', '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': '40.6'}
-
id: 77145101
{'ambient': '1600.1937', 'aut_centralizer_order': 160, 'aut_label': '20.e1', 'aut_quo_index': None, 'aut_stab_index': 120, 'aut_weyl_group': '320.1595', 'aut_weyl_index': 19200, 'centralizer': '200.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['4.e1', '10.b1'], 'contains': ['40.e1', '40.h1', '100.e1'], 'core': '40.e1', 'coset_action_label': None, 'count': 120, 'diagramx': [3828, -1, 5533, -1], 'generators': [1, 2, 80, 40, 320], 'label': '1600.1937.20.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '20.e1', 'projective_image': '400.102', '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': '20.4'}
-
id: 77145102
{'ambient': '1600.1937', 'aut_centralizer_order': 8000, 'aut_label': '20.f1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.45', 'aut_weyl_index': 192000, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['4.f1', '10.a1'], 'contains': ['40.e1', '40.i1', '100.f1'], 'core': '40.e1', 'coset_action_label': None, 'count': 24, 'diagramx': [1474, -1, 1880, -1], 'generators': [2, 320, 40, 100, 80], 'label': '1600.1937.20.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '20.f1', 'projective_image': '400.102', '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': '1.1'}
-
id: 77145103
{'ambient': '1600.1937', 'aut_centralizer_order': 480, 'aut_label': '25.a1', 'aut_quo_index': None, 'aut_stab_index': 25, 'aut_weyl_group': '512.6536038', 'aut_weyl_index': 12000, 'centralizer': '200.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['5.a1'], 'contains': ['50.a1', '50.b1'], 'core': '50.a1', 'coset_action_label': None, 'count': 25, 'diagramx': [196, -1, 3292, -1], 'generators': [1, 100], 'label': '1600.1937.25.a1', 'mobius_quo': None, 'mobius_sub': 5, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '25.a1', 'old_label': '25.a1', 'projective_image': '200.34', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
-
id: 77145104
{'ambient': '1600.1937', 'aut_centralizer_order': 12800, 'aut_label': '32.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '480.218', 'aut_weyl_index': 12800, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.b1'], 'contains': ['64.a1', '160.a1'], 'core': '32.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7646, 5438, 6350, 2244], 'generators': [800, 320, 32], 'label': '1600.1937.32.a1', 'mobius_quo': -5, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1', '16.b1'], 'normal_contains': ['64.a1', '160.a1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': '800.343', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145105
{'ambient': '1600.1937', 'aut_centralizer_order': 12800, 'aut_label': '32.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '480.218', 'aut_weyl_index': 12800, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.c1', '16.d1'], 'contains': ['64.a1', '160.b1'], 'core': '32.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9006, 3962, 7300, 290], 'generators': [880, 320, 32], 'label': '1600.1937.32.b1', 'mobius_quo': -5, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': ['16.a1', '16.c1', '16.d1'], 'normal_contains': ['64.a1', '160.b1'], 'normalizer': '1.a1', 'old_label': '32.b1', 'projective_image': '800.344', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145106
{'ambient': '1600.1937', 'aut_centralizer_order': 3200, 'aut_label': '4.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '1920.240757', 'aut_weyl_index': 3200, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.b1'], 'contains': ['8.a1', '8.b1', '8.c1', '8.d1', '8.e1', '20.a1'], 'core': '4.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3355, 5623, 3950, 5572], 'generators': [2, 80, 800, 32, 840, 320], 'label': '1600.1937.4.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['8.a1', '8.b1', '8.c1', '8.d1', '8.e1', '20.a1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '200.34', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145107
{'ambient': '1600.1937', 'aut_centralizer_order': 6400, 'aut_label': '32.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '480.218', 'aut_weyl_index': 12800, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '16.c1', '16.e1', '16.i1'], 'contains': ['64.a1', '160.c1'], 'core': '32.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [9759, 7778, 8726, 941], 'generators': [2, 320, 32], 'label': '1600.1937.32.c1', 'mobius_quo': -5, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': ['16.b1', '16.c1', '16.e1'], 'normal_contains': ['64.a1', '160.c1'], 'normalizer': '1.a1', 'old_label': '32.c1', 'projective_image': '800.347', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145108
{'ambient': '1600.1937', 'aut_centralizer_order': 6400, 'aut_label': '32.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '480.218', 'aut_weyl_index': 12800, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '16.d1', '16.e1'], 'contains': ['64.a1', '160.d1'], 'core': '32.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [8254, 6302, 6825, 1592], 'generators': [82, 320, 32], 'label': '1600.1937.32.d1', 'mobius_quo': -5, 'mobius_sub': 0, 'normal_closure': '32.d1', 'normal_contained_in': ['16.b1', '16.d1', '16.e1'], 'normal_contains': ['64.a1', '160.d1'], 'normalizer': '1.a1', 'old_label': '32.d1', 'projective_image': '800.342', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145109
{'ambient': '1600.1937', 'aut_centralizer_order': 12800, 'aut_label': '32.e1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '480.218', 'aut_weyl_index': 12800, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.e1', '16.f1', '16.g1', '16.h1'], 'contains': ['64.a1', '160.e1'], 'core': '32.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [5620, 8850, 4283, 4849], 'generators': [80, 320, 32], 'label': '1600.1937.32.e1', 'mobius_quo': -5, 'mobius_sub': 0, 'normal_closure': '32.e1', 'normal_contained_in': ['16.a1', '16.e1', '16.f1', '16.g1', '16.h1'], 'normal_contains': ['64.a1', '160.e1'], 'normalizer': '1.a1', 'old_label': '32.e1', 'projective_image': '800.357', '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: 77145110
{'ambient': '1600.1937', 'aut_centralizer_order': 128000, 'aut_label': '40.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['8.a1', '20.a1', '20.c1'], 'contains': ['80.a1', '80.b1', '80.c1', '80.d1', '80.e1', '200.a1'], 'core': '40.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6834, 1197, 5936, 3718], 'generators': [2, 800, 320, 80], 'label': '1600.1937.40.a1', 'mobius_quo': 8, 'mobius_sub': 0, 'normal_closure': '40.a1', 'normal_contained_in': ['8.a1', '20.a1'], 'normal_contains': ['80.a1', '80.b1', '80.c1', '80.d1', '80.e1', '200.a1'], 'normalizer': '1.a1', 'old_label': '40.a1', 'projective_image': '200.34', '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'}
-
id: 77145111
{'ambient': '1600.1937', 'aut_centralizer_order': 128000, 'aut_label': '40.b1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['8.b1', '20.a1', '20.b1'], 'contains': ['80.a1', '80.f1', '80.h1', '200.b1'], 'core': '40.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [2375, 4365, 1262, 8322], 'generators': [40, 320, 80, 800], 'label': '1600.1937.40.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.b1', 'normal_contained_in': ['8.b1', '20.a1', '20.b1'], 'normal_contains': ['80.a1', '80.f1', '80.h1', '200.b1'], 'normalizer': '1.a1', 'old_label': '40.b1', 'projective_image': '400.101', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.5', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145112
{'ambient': '1600.1937', 'aut_centralizer_order': 64000, 'aut_label': '40.c1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '16.10', 'aut_weyl_index': 384000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['8.c1', '20.a1'], 'contains': ['80.a1', '80.g1', '200.c1'], 'core': '40.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [3880, 2322, 3146, 7019], 'generators': [842, 320, 80, 800], 'label': '1600.1937.40.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.c1', 'normal_contained_in': ['8.c1', '20.a1'], 'normal_contains': ['80.a1', '80.g1', '200.c1'], 'normalizer': '1.a1', 'old_label': '40.c1', 'projective_image': '400.101', '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'}
-
id: 77145113
{'ambient': '1600.1937', 'aut_centralizer_order': 64000, 'aut_label': '40.d1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['8.d1', '20.a1', '20.d1'], 'contains': ['80.e1', '80.f1', '80.g1', '200.d1'], 'core': '40.d1', 'coset_action_label': None, 'count': 12, 'diagramx': [4487, 7689, 4571, 6368], 'generators': [2, 320, 80, 840], 'label': '1600.1937.40.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.d1', 'normal_contained_in': ['8.d1', '20.a1'], 'normal_contains': ['80.e1', '80.f1', '80.g1', '200.d1'], 'normalizer': '1.a1', 'old_label': '40.d1', 'projective_image': '400.102', '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'}
-
id: 77145114
{'ambient': '1600.1937', 'aut_centralizer_order': 64000, 'aut_label': '40.e1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['8.e1', '20.a1', '20.e1', '20.f1'], 'contains': ['80.e1', '80.g1', '80.h1', '200.e1'], 'core': '40.e1', 'coset_action_label': None, 'count': 12, 'diagramx': [3127, 6261, 2671, 7670], 'generators': [2, 320, 80, 40], 'label': '1600.1937.40.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.e1', 'normal_contained_in': ['8.e1', '20.a1'], 'normal_contains': ['80.e1', '80.g1', '80.h1', '200.e1'], 'normalizer': '1.a1', 'old_label': '40.e1', 'projective_image': '400.102', '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'}
-
id: 77145115
{'ambient': '1600.1937', 'aut_centralizer_order': 320, 'aut_label': '40.f1', 'aut_quo_index': None, 'aut_stab_index': 240, 'aut_weyl_group': '80.50', 'aut_weyl_index': 76800, 'centralizer': '200.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.f1', '20.c1'], 'contains': ['80.b1', '80.i1', '200.f1'], 'core': '80.b1', 'coset_action_label': None, 'count': 240, 'diagramx': [8000, -1, 8665, -1], 'generators': [921, 2, 320, 800], 'label': '1600.1937.40.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.c1', 'old_label': '40.f1', 'projective_image': '400.94', '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': '10.1'}
-
id: 77145116
{'ambient': '1600.1937', 'aut_centralizer_order': 320, 'aut_label': '40.g1', 'aut_quo_index': None, 'aut_stab_index': 240, 'aut_weyl_group': '80.50', 'aut_weyl_index': 76800, 'centralizer': '200.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.g1', '20.c1'], 'contains': ['80.c1', '80.i1', '200.g1'], 'core': '80.c1', 'coset_action_label': None, 'count': 240, 'diagramx': [9655, -1, 9152, -1], 'generators': [841, 2, 320, 880], 'label': '1600.1937.40.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.c1', 'old_label': '40.g1', 'projective_image': '400.95', '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': '10.1'}
-
id: 77145117
{'ambient': '1600.1937', 'aut_centralizer_order': 800, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '3840.x', 'aut_weyl_index': 1600, 'centralizer': '2.b1', 'complements': ['400.i1'], 'conjugacy_class_count': 2, 'contained_in': ['2.b1'], 'contains': ['8.b1', '8.i1', '20.b1'], 'core': '4.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1295, 4354, 1143, 6528], 'generators': [20, 80, 32, 320, 800, 40], 'label': '1600.1937.4.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': ['2.b1'], 'normal_contains': ['8.b1', '20.b1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '400.101', '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: 77145118
{'ambient': '1600.1937', 'aut_centralizer_order': 320, 'aut_label': '40.h1', 'aut_quo_index': None, 'aut_stab_index': 240, 'aut_weyl_group': '80.50', 'aut_weyl_index': 76800, 'centralizer': '200.a1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['8.h1', '20.c1', '20.d1', '20.e1'], 'contains': ['80.e1', '80.i1', '200.h1'], 'core': '80.e1', 'coset_action_label': None, 'count': 240, 'diagramx': [5616, -1, 7225, -1], 'generators': [1, 2, 320, 80], 'label': '1600.1937.40.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10.b1', 'old_label': '40.h1', 'projective_image': '400.102', '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': '20.4'}
-
id: 77145119
{'ambient': '1600.1937', 'aut_centralizer_order': 16000, 'aut_label': '40.i1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.10', 'aut_weyl_index': 384000, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.i1', '20.b1', '20.f1'], 'contains': ['80.h1', '200.i1'], 'core': '80.h1', 'coset_action_label': None, 'count': 24, 'diagramx': [1507, -1, 499, -1], 'generators': [100, 40, 80, 320], 'label': '1600.1937.40.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '40.i1', 'projective_image': '800.357', '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': '1.1'}
-
id: 77145120
{'ambient': '1600.1937', 'aut_centralizer_order': 192000, 'aut_label': '50.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.46', 'aut_weyl_index': 192000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['10.a1', '25.a1'], 'contains': ['100.a1', '100.b1', '100.f1'], 'core': '50.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [501, 3113, 1414, 8961], 'generators': [2, 100, 800], 'label': '1600.1937.50.a1', 'mobius_quo': 0, 'mobius_sub': -125, 'normal_closure': '50.a1', 'normal_contained_in': ['10.a1'], 'normal_contains': ['100.a1', '100.b1'], 'normalizer': '1.a1', 'old_label': '50.a1', 'projective_image': '200.34', 'quotient_action_image': '2.1', 'quotient_action_kernel': '25.2', 'quotient_action_kernel_order': 25, 'quotient_fusion': None, 'short_label': '50.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145121
{'ambient': '1600.1937', 'aut_centralizer_order': 3840, 'aut_label': '50.b1', 'aut_quo_index': None, 'aut_stab_index': 50, 'aut_weyl_group': '32.46', 'aut_weyl_index': 192000, 'centralizer': '200.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['10.b1', '25.a1'], 'contains': ['100.a1', '100.c1', '100.d1', '100.e1'], 'core': '100.a1', 'coset_action_label': None, 'count': 50, 'diagramx': [2028, -1, 5117, -1], 'generators': [1, 840, 800], 'label': '1600.1937.50.b1', 'mobius_quo': None, 'mobius_sub': -5, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '25.a1', 'old_label': '50.b1', 'projective_image': '200.34', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
-
id: 77145122
{'ambient': '1600.1937', 'aut_centralizer_order': 12800, 'aut_label': '64.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '480.218', 'aut_weyl_index': 12800, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '32.b1', '32.c1', '32.d1', '32.e1'], 'contains': ['320.a1'], 'core': '64.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8720, 8866, 6825, 1920], 'generators': [32, 320], 'label': '1600.1937.64.a1', 'mobius_quo': 5, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': ['32.a1', '32.b1', '32.c1', '32.d1', '32.e1'], 'normal_contains': ['320.a1'], 'normalizer': '1.a1', 'old_label': '64.a1', 'projective_image': '1600.1937', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.36', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145123
{'ambient': '1600.1937', 'aut_centralizer_order': 256000, 'aut_label': '80.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '4.1', 'aut_weyl_index': 1536000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['16.a1', '40.a1', '40.b1', '40.c1'], 'contains': ['160.a1', '160.b1', '160.e1', '400.a1'], 'core': '80.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6461, 2523, 3808, 6152], 'generators': [80, 320, 800], 'label': '1600.1937.80.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '80.a1', 'normal_contained_in': ['16.a1', '40.a1', '40.b1', '40.c1'], 'normal_contains': ['160.a1', '160.b1', '160.e1', '400.a1'], 'normalizer': '1.a1', 'old_label': '80.a1', 'projective_image': '400.101', 'quotient_action_image': '2.1', 'quotient_action_kernel': '40.9', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '80.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145124
{'ambient': '1600.1937', 'aut_centralizer_order': 128000, 'aut_label': '80.b1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '4.1', 'aut_weyl_index': 1536000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['16.b1', '40.a1', '40.f1'], 'contains': ['160.a1', '160.c1', '160.d1', '400.b1'], 'core': '80.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [8109, 4976, 7776, 4198], 'generators': [2, 320, 800], 'label': '1600.1937.80.b1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '80.b1', 'normal_contained_in': ['16.b1', '40.a1'], 'normal_contains': ['160.a1', '160.c1', '160.d1', '400.b1'], 'normalizer': '1.a1', 'old_label': '80.b1', 'projective_image': '400.94', 'quotient_action_image': '2.1', 'quotient_action_kernel': '40.2', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '80.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145125
{'ambient': '1600.1937', 'aut_centralizer_order': 128000, 'aut_label': '80.c1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['16.c1', '40.a1', '40.g1'], 'contains': ['160.b1', '160.c1', '400.c1'], 'core': '80.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [9726, 1250, 8251, 2895], 'generators': [2, 320, 880], 'label': '1600.1937.80.c1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '80.c1', 'normal_contained_in': ['16.c1', '40.a1'], 'normal_contains': ['160.b1', '160.c1', '400.c1'], 'normalizer': '1.a1', 'old_label': '80.c1', 'projective_image': '400.95', 'quotient_action_image': '2.1', 'quotient_action_kernel': '40.2', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '80.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145126
{'ambient': '1600.1937', 'aut_centralizer_order': 128000, 'aut_label': '80.d1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['16.d1', '40.a1'], 'contains': ['160.b1', '160.d1', '400.d1'], 'core': '80.d1', 'coset_action_label': None, 'count': 6, 'diagramx': [7356, 385, 5875, 3546], 'generators': [82, 320, 880], 'label': '1600.1937.80.d1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '80.d1', 'normal_contained_in': ['16.d1', '40.a1'], 'normal_contains': ['160.b1', '160.d1', '400.d1'], 'normalizer': '1.a1', 'old_label': '80.d1', 'projective_image': '400.96', 'quotient_action_image': '2.1', 'quotient_action_kernel': '40.2', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '80.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145127
{'ambient': '1600.1937', 'aut_centralizer_order': 128000, 'aut_label': '80.e1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '4.1', 'aut_weyl_index': 1536000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['16.e1', '40.a1', '40.d1', '40.e1', '40.h1'], 'contains': ['160.c1', '160.d1', '160.e1', '400.e1'], 'core': '80.e1', 'coset_action_label': None, 'count': 12, 'diagramx': [5709, 6918, 5000, 5500], 'generators': [2, 320, 80], 'label': '1600.1937.80.e1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '80.e1', 'normal_contained_in': ['16.e1', '40.a1', '40.d1', '40.e1'], 'normal_contains': ['160.c1', '160.d1', '160.e1', '400.e1'], 'normalizer': '1.a1', 'old_label': '80.e1', 'projective_image': '400.102', 'quotient_action_image': '2.1', 'quotient_action_kernel': '40.9', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '80.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145128
{'ambient': '1600.1937', 'aut_centralizer_order': 8, 'aut_label': '4.c1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': None, 'aut_weyl_index': 32, 'centralizer': '200.a1', 'complements': ['400.i1'], 'conjugacy_class_count': 4, 'contained_in': ['2.a1'], 'contains': ['8.d1', '8.h1', '20.d1'], 'core': '4.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [5490, 7757, 6000, 4466], 'generators': [1, 320, 2, 80, 840, 32], 'label': '1600.1937.4.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.d1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '400.102', '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': '200.34'}
-
id: 77145129
{'ambient': '1600.1937', 'aut_centralizer_order': 128000, 'aut_label': '80.f1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['16.f1', '40.b1', '40.d1'], 'contains': ['160.e1', '400.f1'], 'core': '80.f1', 'coset_action_label': None, 'count': 6, 'diagramx': [4781, 8526, 2787, 7335], 'generators': [840, 80, 320], 'label': '1600.1937.80.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '80.f1', 'normal_contained_in': ['16.f1', '40.b1', '40.d1'], 'normal_contains': ['160.e1', '400.f1'], 'normalizer': '1.a1', 'old_label': '80.f1', 'projective_image': '800.357', '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: 77145130
{'ambient': '1600.1937', 'aut_centralizer_order': 64000, 'aut_label': '80.g1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['16.g1', '40.c1', '40.d1', '40.e1'], 'contains': ['160.e1', '400.g1'], 'core': '80.g1', 'coset_action_label': None, 'count': 12, 'diagramx': [4454, 8060, 3044, 6983], 'generators': [842, 80, 320], 'label': '1600.1937.80.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '80.g1', 'normal_contained_in': ['16.g1', '40.c1', '40.d1', '40.e1'], 'normal_contains': ['160.e1', '400.g1'], 'normalizer': '1.a1', 'old_label': '80.g1', 'projective_image': '800.357', 'quotient_action_image': '2.1', 'quotient_action_kernel': '40.9', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '80.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145131
{'ambient': '1600.1937', 'aut_centralizer_order': 128000, 'aut_label': '80.h1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '8.2', 'aut_weyl_index': 768000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['16.h1', '40.b1', '40.e1', '40.i1'], 'contains': ['160.e1', '400.h1'], 'core': '80.h1', 'coset_action_label': None, 'count': 6, 'diagramx': [2762, 6250, 1738, 7686], 'generators': [40, 80, 320], 'label': '1600.1937.80.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '80.h1', 'normal_contained_in': ['16.h1', '40.b1', '40.e1'], 'normal_contains': ['160.e1', '400.h1'], 'normalizer': '1.a1', 'old_label': '80.h1', 'projective_image': '800.357', 'quotient_action_image': '2.1', 'quotient_action_kernel': '40.14', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '80.h1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145132
{'ambient': '1600.1937', 'aut_centralizer_order': 320, 'aut_label': '80.i1', 'aut_quo_index': None, 'aut_stab_index': 480, 'aut_weyl_group': '40.12', 'aut_weyl_index': 153600, 'centralizer': '200.a1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['16.i1', '40.f1', '40.g1', '40.h1'], 'contains': ['160.c1', '400.i1'], 'core': '160.c1', 'coset_action_label': None, 'count': 480, 'diagramx': [9249, -1, 9892, -1], 'generators': [1, 320, 2], 'label': '1600.1937.80.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '20.c1', 'old_label': '80.i1', 'projective_image': '800.347', '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': '10.1'}
-
id: 77145133
{'ambient': '1600.1937', 'aut_centralizer_order': 1536000, 'aut_label': '100.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['20.a1', '50.a1', '50.b1'], 'contains': ['200.a1', '200.b1', '200.c1', '200.d1', '200.e1'], 'core': '100.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2762, 2641, 2204, 8961], 'generators': [2, 840, 800], 'label': '1600.1937.100.a1', 'mobius_quo': 0, 'mobius_sub': 250, 'normal_closure': '100.a1', 'normal_contained_in': ['20.a1', '50.a1'], 'normal_contains': ['200.a1', '200.b1', '200.c1', '200.d1', '200.e1'], 'normalizer': '1.a1', 'old_label': '100.a1', 'projective_image': '200.34', 'quotient_action_image': '2.1', 'quotient_action_kernel': '50.5', 'quotient_action_kernel_order': 50, 'quotient_fusion': None, 'short_label': '100.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145134
{'ambient': '1600.1937', 'aut_centralizer_order': 384000, 'aut_label': '100.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768000, 'centralizer': '2.b1', 'complements': ['16.i1'], 'conjugacy_class_count': 2, 'contained_in': ['20.b1', '50.a1'], 'contains': ['200.b1', '200.i1'], 'core': '100.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [676, 4227, 172, 9549], 'generators': [100, 800], 'label': '1600.1937.100.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '100.b1', 'normal_contained_in': ['20.b1', '50.a1'], 'normal_contains': ['200.b1'], 'normalizer': '1.a1', 'old_label': '100.b1', 'projective_image': '400.101', 'quotient_action_image': '2.1', 'quotient_action_kernel': '50.5', 'quotient_action_kernel_order': 50, 'quotient_fusion': None, 'short_label': '100.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145135
{'ambient': '1600.1937', 'aut_centralizer_order': 7680, 'aut_label': '100.c1', 'aut_quo_index': None, 'aut_stab_index': 100, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768000, 'centralizer': '100.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['20.c1', '50.b1'], 'contains': ['200.a1', '200.f1', '200.g1', '200.h1'], 'core': '200.a1', 'coset_action_label': None, 'count': 100, 'diagramx': [5221, -1, 6752, -1], 'generators': [841, 880, 800], 'label': '1600.1937.100.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.b1', 'old_label': '100.c1', 'projective_image': '200.34', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145136
{'ambient': '1600.1937', 'aut_centralizer_order': 3840, 'aut_label': '100.d1', 'aut_quo_index': None, 'aut_stab_index': 100, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384000, 'centralizer': '200.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['20.d1', '50.b1'], 'contains': ['200.d1', '200.h1'], 'core': '200.d1', 'coset_action_label': None, 'count': 100, 'diagramx': [4114, -1, 5213, -1], 'generators': [1, 840], 'label': '1600.1937.100.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '25.a1', 'old_label': '100.d1', 'projective_image': '400.102', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.d1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
-
id: 77145137
{'ambient': '1600.1937', 'aut_centralizer_order': 3840, 'aut_label': '100.e1', 'aut_quo_index': None, 'aut_stab_index': 100, 'aut_weyl_group': '16.11', 'aut_weyl_index': 384000, 'centralizer': '200.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['20.e1', '50.b1'], 'contains': ['200.e1', '200.h1'], 'core': '200.e1', 'coset_action_label': None, 'count': 100, 'diagramx': [3369, -1, 4945, -1], 'generators': [1, 40], 'label': '1600.1937.100.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.b1', 'old_label': '100.e1', 'projective_image': '400.102', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.e1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 77145138
{'ambient': '1600.1937', 'aut_centralizer_order': 192000, 'aut_label': '100.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.5', 'aut_weyl_index': 768000, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['20.f1', '50.a1'], 'contains': ['200.e1', '200.i1'], 'core': '200.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [1183, -1, 825, -1], 'generators': [2, 100], 'label': '1600.1937.100.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '50.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '100.f1', 'projective_image': '400.102', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 77145139
{'ambient': '1600.1937', 'aut_centralizer_order': 16, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': None, 'aut_weyl_index': 64, 'centralizer': '200.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.a1'], 'contains': ['8.a1', '8.f1', '8.g1', '8.h1', '20.c1'], 'core': '8.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7203, -1, 7143, -1], 'generators': [841, 320, 800, 2, 880, 32], 'label': '1600.1937.4.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '4.d1', 'projective_image': '200.34', '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': '100.15'}
-
id: 77145140
{'ambient': '1600.1937', 'aut_centralizer_order': 256000, 'aut_label': '160.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '4.1', 'aut_weyl_index': 1536000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['32.a1', '80.a1', '80.b1'], 'contains': ['320.a1', '800.a1'], 'core': '160.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7732, 5300, 6064, 4657], 'generators': [800, 320], 'label': '1600.1937.160.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '160.a1', 'normal_contained_in': ['32.a1', '80.a1', '80.b1'], 'normal_contains': ['320.a1', '800.a1'], 'normalizer': '1.a1', 'old_label': '160.a1', 'projective_image': '800.343', 'quotient_action_image': '2.1', 'quotient_action_kernel': '80.23', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '160.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145141
{'ambient': '1600.1937', 'aut_centralizer_order': 256000, 'aut_label': '160.b1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '4.1', 'aut_weyl_index': 1536000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['32.b1', '80.a1', '80.c1', '80.d1'], 'contains': ['320.a1', '800.b1'], 'core': '160.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [8913, 1383, 6577, 3575], 'generators': [880, 320], 'label': '1600.1937.160.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', '800.b1'], 'normalizer': '1.a1', 'old_label': '160.b1', 'projective_image': '800.344', 'quotient_action_image': '2.1', 'quotient_action_kernel': '80.23', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '160.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145142
{'ambient': '1600.1937', 'aut_centralizer_order': 128000, 'aut_label': '160.c1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '4.1', 'aut_weyl_index': 1536000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['32.c1', '80.b1', '80.c1', '80.e1', '80.i1'], 'contains': ['320.a1', '800.c1'], 'core': '160.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [9431, 7789, 7776, 3954], 'generators': [2, 320], 'label': '1600.1937.160.c1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '160.c1', 'normal_contained_in': ['32.c1', '80.b1', '80.c1', '80.e1'], 'normal_contains': ['320.a1', '800.c1'], 'normalizer': '1.a1', 'old_label': '160.c1', 'projective_image': '800.347', 'quotient_action_image': '2.1', 'quotient_action_kernel': '80.23', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '160.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145143
{'ambient': '1600.1937', 'aut_centralizer_order': 128000, 'aut_label': '160.d1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '4.1', 'aut_weyl_index': 1536000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['32.d1', '80.b1', '80.d1', '80.e1'], 'contains': ['320.a1', '800.d1'], 'core': '160.d1', 'coset_action_label': None, 'count': 12, 'diagramx': [8060, 5766, 6321, 4306], 'generators': [82, 320], 'label': '1600.1937.160.d1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '160.d1', 'normal_contained_in': ['32.d1', '80.b1', '80.d1', '80.e1'], 'normal_contains': ['320.a1', '800.d1'], 'normalizer': '1.a1', 'old_label': '160.d1', 'projective_image': '800.342', 'quotient_action_image': '2.1', 'quotient_action_kernel': '80.23', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '160.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145144
{'ambient': '1600.1937', 'aut_centralizer_order': 256000, 'aut_label': '160.e1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '4.1', 'aut_weyl_index': 1536000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['32.e1', '80.a1', '80.e1', '80.f1', '80.g1', '80.h1'], 'contains': ['320.a1', '800.e1'], 'core': '160.e1', 'coset_action_label': None, 'count': 6, 'diagramx': [6201, 8255, 3933, 6152], 'generators': [80, 320], 'label': '1600.1937.160.e1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '160.e1', 'normal_contained_in': ['32.e1', '80.a1', '80.e1', '80.f1', '80.g1', '80.h1'], 'normal_contains': ['320.a1', '800.e1'], 'normalizer': '1.a1', 'old_label': '160.e1', 'projective_image': '800.357', 'quotient_action_image': '2.1', 'quotient_action_kernel': '80.45', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '160.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145145
{'ambient': '1600.1937', 'aut_centralizer_order': 3072000, 'aut_label': '200.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072000, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['40.a1', '100.a1', '100.c1'], 'contains': ['400.a1', '400.b1', '400.c1', '400.d1', '400.e1'], 'core': '200.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6097, 2800, 4641, 6643], 'generators': [2, 80, 800], 'label': '1600.1937.200.a1', 'mobius_quo': -8, 'mobius_sub': 0, 'normal_closure': '200.a1', 'normal_contained_in': ['40.a1', '100.a1'], 'normal_contains': ['400.a1', '400.b1', '400.c1', '400.d1', '400.e1'], 'normalizer': '1.a1', 'old_label': '200.a1', 'projective_image': '200.34', 'quotient_action_image': '1.1', 'quotient_action_kernel': '200.34', 'quotient_action_kernel_order': 200, 'quotient_fusion': None, 'short_label': '200.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 77145146
{'ambient': '1600.1937', 'aut_centralizer_order': 3072000, 'aut_label': '200.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['40.b1', '100.a1', '100.b1'], 'contains': ['400.a1', '400.f1', '400.h1'], 'core': '200.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2244, 4100, 1411, 9764], 'generators': [40, 800], 'label': '1600.1937.200.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '200.b1', 'normal_contained_in': ['40.b1', '100.a1', '100.b1'], 'normal_contains': ['400.a1', '400.f1', '400.h1'], 'normalizer': '1.a1', 'old_label': '200.b1', 'projective_image': '400.101', 'quotient_action_image': '2.1', 'quotient_action_kernel': '100.16', 'quotient_action_kernel_order': 100, 'quotient_fusion': None, 'short_label': '200.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145147
{'ambient': '1600.1937', 'aut_centralizer_order': 1536000, 'aut_label': '200.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['40.c1', '100.a1'], 'contains': ['400.a1', '400.g1'], 'core': '200.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3527, 3378, 2461, 8134], 'generators': [842, 800], 'label': '1600.1937.200.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '200.c1', 'normal_contained_in': ['40.c1', '100.a1'], 'normal_contains': ['400.a1', '400.g1'], 'normalizer': '1.a1', 'old_label': '200.c1', 'projective_image': '400.101', 'quotient_action_image': '2.1', 'quotient_action_kernel': '100.8', 'quotient_action_kernel_order': 100, 'quotient_fusion': None, 'short_label': '200.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145148
{'ambient': '1600.1937', 'aut_centralizer_order': 1536000, 'aut_label': '200.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['40.d1', '100.a1', '100.d1'], 'contains': ['400.e1', '400.f1', '400.g1'], 'core': '200.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [4032, 6754, 3370, 8677], 'generators': [2, 840], 'label': '1600.1937.200.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '200.d1', 'normal_contained_in': ['40.d1', '100.a1'], 'normal_contains': ['400.e1', '400.f1', '400.g1'], 'normalizer': '1.a1', 'old_label': '200.d1', 'projective_image': '400.102', 'quotient_action_image': '2.1', 'quotient_action_kernel': '100.8', 'quotient_action_kernel_order': 100, 'quotient_fusion': None, 'short_label': '200.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145149
{'ambient': '1600.1937', 'aut_centralizer_order': 1536000, 'aut_label': '200.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['40.e1', '100.a1', '100.e1', '100.f1'], 'contains': ['400.e1', '400.g1', '400.h1'], 'core': '200.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [3020, 5628, 2064, 9221], 'generators': [2, 40], 'label': '1600.1937.200.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '200.e1', 'normal_contained_in': ['40.e1', '100.a1'], 'normal_contains': ['400.e1', '400.g1', '400.h1'], 'normalizer': '1.a1', 'old_label': '200.e1', 'projective_image': '400.102', 'quotient_action_image': '2.1', 'quotient_action_kernel': '100.16', 'quotient_action_kernel_order': 100, 'quotient_fusion': None, 'short_label': '200.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145150
{'ambient': '1600.1937', 'aut_centralizer_order': 8, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': None, 'aut_weyl_index': 32, 'centralizer': '200.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.a1'], 'contains': ['8.e1', '8.h1', '20.e1'], 'core': '8.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [4149, -1, 5533, -1], 'generators': [1, 320, 2, 80, 40, 32], 'label': '1600.1937.4.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '4.e1', 'projective_image': '400.102', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1', 'subgroup_fusion': None, 'weyl_group': '100.15'}
-
id: 77145151
{'ambient': '1600.1937', 'aut_centralizer_order': 7680, 'aut_label': '200.f1', 'aut_quo_index': None, 'aut_stab_index': 200, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536000, 'centralizer': '100.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.f1', '100.c1'], 'contains': ['400.b1', '400.i1'], 'core': '400.b1', 'coset_action_label': None, 'count': 200, 'diagramx': [6700, -1, 9163, -1], 'generators': [921, 800], 'label': '1600.1937.200.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.c1', 'old_label': '200.f1', 'projective_image': '400.94', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 77145152
{'ambient': '1600.1937', 'aut_centralizer_order': 7680, 'aut_label': '200.g1', 'aut_quo_index': None, 'aut_stab_index': 200, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536000, 'centralizer': '100.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.g1', '100.c1'], 'contains': ['400.c1', '400.i1'], 'core': '400.c1', 'coset_action_label': None, 'count': 200, 'diagramx': [7632, -1, 9560, -1], 'generators': [841, 880], 'label': '1600.1937.200.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.c1', 'old_label': '200.g1', 'projective_image': '400.95', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 77145153
{'ambient': '1600.1937', 'aut_centralizer_order': 7680, 'aut_label': '200.h1', 'aut_quo_index': None, 'aut_stab_index': 200, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536000, 'centralizer': '100.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['40.h1', '100.c1', '100.d1', '100.e1'], 'contains': ['400.e1', '400.i1'], 'core': '400.e1', 'coset_action_label': None, 'count': 200, 'diagramx': [5049, -1, 5437, -1], 'generators': [1, 80], 'label': '1600.1937.200.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '50.b1', 'old_label': '200.h1', 'projective_image': '400.102', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.h1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145154
{'ambient': '1600.1937', 'aut_centralizer_order': 384000, 'aut_label': '200.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 1536000, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['40.i1', '100.b1', '100.f1'], 'contains': ['400.h1'], 'core': '400.h1', 'coset_action_label': None, 'count': 4, 'diagramx': [1350, -1, 662, -1], 'generators': [100], 'label': '1600.1937.200.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '100.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '200.i1', 'projective_image': '800.357', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 77145155
{'ambient': '1600.1937', 'aut_centralizer_order': 256000, 'aut_label': '320.a1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': '4.1', 'aut_weyl_index': 1536000, 'centralizer': '2.b1', 'complements': ['5.a1'], 'conjugacy_class_count': 6, 'contained_in': ['64.a1', '160.a1', '160.b1', '160.c1', '160.d1', '160.e1'], 'contains': ['1600.a1'], 'core': '320.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [8679, 8076, 6577, 4306], 'generators': [320], 'label': '1600.1937.320.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': ['1600.a1'], 'normalizer': '1.a1', 'old_label': '320.a1', 'projective_image': '1600.1937', 'quotient_action_image': '2.1', 'quotient_action_kernel': '160.190', 'quotient_action_kernel_order': 160, 'quotient_fusion': None, 'short_label': '320.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145156
{'ambient': '1600.1937', 'aut_centralizer_order': 6144000, 'aut_label': '400.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144000, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['80.a1', '200.a1', '200.b1', '200.c1'], 'contains': ['800.a1', '800.b1', '800.e1'], 'core': '400.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5392, 3378, 3685, 6819], 'generators': [80, 800], 'label': '1600.1937.400.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '400.a1', 'normal_contained_in': ['80.a1', '200.a1', '200.b1', '200.c1'], 'normal_contains': ['800.a1', '800.b1', '800.e1'], 'normalizer': '1.a1', 'old_label': '400.a1', 'projective_image': '400.101', 'quotient_action_image': '1.1', 'quotient_action_kernel': '400.101', 'quotient_action_kernel_order': 400, 'quotient_fusion': None, 'short_label': '400.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 77145157
{'ambient': '1600.1937', 'aut_centralizer_order': 3072000, 'aut_label': '400.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144000, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['80.b1', '200.a1', '200.f1'], 'contains': ['800.a1', '800.c1', '800.d1'], 'core': '400.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [6950, 4562, 7064, 5760], 'generators': [2, 800], 'label': '1600.1937.400.b1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '400.b1', 'normal_contained_in': ['80.b1', '200.a1'], 'normal_contains': ['800.a1', '800.c1', '800.d1'], 'normalizer': '1.a1', 'old_label': '400.b1', 'projective_image': '400.94', 'quotient_action_image': '1.1', 'quotient_action_kernel': '400.94', 'quotient_action_kernel_order': 400, 'quotient_fusion': None, 'short_label': '400.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 77145158
{'ambient': '1600.1937', 'aut_centralizer_order': 3072000, 'aut_label': '400.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072000, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['80.c1', '200.a1', '200.g1'], 'contains': ['800.b1', '800.c1'], 'core': '400.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [8291, 2455, 7303, 5105], 'generators': [2, 880], 'label': '1600.1937.400.c1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '400.c1', 'normal_contained_in': ['80.c1', '200.a1'], 'normal_contains': ['800.b1', '800.c1'], 'normalizer': '1.a1', 'old_label': '400.c1', 'projective_image': '400.95', 'quotient_action_image': '1.1', 'quotient_action_kernel': '400.95', 'quotient_action_kernel_order': 400, 'quotient_fusion': None, 'short_label': '400.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 77145159
{'ambient': '1600.1937', 'aut_centralizer_order': 3072000, 'aut_label': '400.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072000, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['80.d1', '200.a1'], 'contains': ['800.b1', '800.d1'], 'core': '400.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [7449, 2019, 5816, 5433], 'generators': [82, 880], 'label': '1600.1937.400.d1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '400.d1', 'normal_contained_in': ['80.d1', '200.a1'], 'normal_contains': ['800.b1', '800.d1'], 'normalizer': '1.a1', 'old_label': '400.d1', 'projective_image': '400.96', 'quotient_action_image': '1.1', 'quotient_action_kernel': '400.96', 'quotient_action_kernel_order': 400, 'quotient_fusion': None, 'short_label': '400.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 77145160
{'ambient': '1600.1937', 'aut_centralizer_order': 3072000, 'aut_label': '400.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144000, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['80.e1', '200.a1', '200.d1', '200.e1', '200.h1'], 'contains': ['800.c1', '800.d1', '800.e1'], 'core': '400.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [5698, 5485, 4822, 6491], 'generators': [2, 80], 'label': '1600.1937.400.e1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '400.e1', 'normal_contained_in': ['80.e1', '200.a1', '200.d1', '200.e1'], 'normal_contains': ['800.c1', '800.d1', '800.e1'], 'normalizer': '1.a1', 'old_label': '400.e1', 'projective_image': '400.102', 'quotient_action_image': '1.1', 'quotient_action_kernel': '400.102', 'quotient_action_kernel_order': 400, 'quotient_fusion': None, 'short_label': '400.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 77145161
{'ambient': '1600.1937', 'aut_centralizer_order': 400, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '3840.x', 'aut_weyl_index': 1600, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.b1'], 'contains': ['8.e1', '8.i1', '20.f1'], 'core': '8.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [2003, -1, 2426, -1], 'generators': [2, 80, 32, 320, 20, 40], 'label': '1600.1937.4.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '4.f1', 'projective_image': '400.102', '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': '1.1'}
-
id: 77145162
{'ambient': '1600.1937', 'aut_centralizer_order': 3072000, 'aut_label': '400.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['80.f1', '200.b1', '200.d1'], 'contains': ['800.e1'], 'core': '400.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [4449, 7088, 2811, 8549], 'generators': [840], 'label': '1600.1937.400.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '400.f1', 'normal_contained_in': ['80.f1', '200.b1', '200.d1'], 'normal_contains': ['800.e1'], 'normalizer': '1.a1', 'old_label': '400.f1', 'projective_image': '800.357', 'quotient_action_image': '2.1', 'quotient_action_kernel': '200.37', 'quotient_action_kernel_order': 200, 'quotient_fusion': None, 'short_label': '400.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145163
{'ambient': '1600.1937', 'aut_centralizer_order': 1536000, 'aut_label': '400.g1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['80.g1', '200.c1', '200.d1', '200.e1'], 'contains': ['800.e1'], 'core': '400.g1', 'coset_action_label': None, 'count': 2, 'diagramx': [3892, 6494, 3044, 8134], 'generators': [842], 'label': '1600.1937.400.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '400.g1', 'normal_contained_in': ['80.g1', '200.c1', '200.d1', '200.e1'], 'normal_contains': ['800.e1'], 'normalizer': '1.a1', 'old_label': '400.g1', 'projective_image': '800.357', 'quotient_action_image': '2.1', 'quotient_action_kernel': '200.37', 'quotient_action_kernel_order': 200, 'quotient_fusion': None, 'short_label': '400.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 77145164
{'ambient': '1600.1937', 'aut_centralizer_order': 3072000, 'aut_label': '400.h1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072000, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['80.h1', '200.b1', '200.e1', '200.i1'], 'contains': ['800.e1'], 'core': '400.h1', 'coset_action_label': None, 'count': 1, 'diagramx': [2568, 5895, 1738, 9029], 'generators': [40], 'label': '1600.1937.400.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '400.h1', 'normal_contained_in': ['80.h1', '200.b1', '200.e1'], 'normal_contains': ['800.e1'], 'normalizer': '1.a1', 'old_label': '400.h1', 'projective_image': '800.357', 'quotient_action_image': '2.1', 'quotient_action_kernel': '200.52', 'quotient_action_kernel_order': 200, 'quotient_fusion': None, 'short_label': '400.h1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 77145165
{'ambient': '1600.1937', 'aut_centralizer_order': 7680, 'aut_label': '400.i1', 'aut_quo_index': None, 'aut_stab_index': 400, 'aut_weyl_group': '2.1', 'aut_weyl_index': 3072000, 'centralizer': '100.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['80.i1', '200.f1', '200.g1', '200.h1'], 'contains': ['800.c1'], 'core': '800.c1', 'coset_action_label': None, 'count': 400, 'diagramx': [7736, -1, 9163, -1], 'generators': [1], 'label': '1600.1937.400.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100.c1', 'old_label': '400.i1', 'projective_image': '800.347', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 77145166
{'ambient': '1600.1937', 'aut_centralizer_order': 6144000, 'aut_label': '800.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144000, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['160.a1', '400.a1', '400.b1'], 'contains': ['1600.a1'], 'core': '800.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6946, 3915, 5947, 5968], 'generators': [800], 'label': '1600.1937.800.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '800.a1', 'normal_contained_in': ['160.a1', '400.a1', '400.b1'], 'normal_contains': ['1600.a1'], 'normalizer': '1.a1', 'old_label': '800.a1', 'projective_image': '800.343', 'quotient_action_image': '1.1', 'quotient_action_kernel': '800.343', 'quotient_action_kernel_order': 800, 'quotient_fusion': None, 'short_label': '800.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 77145167
{'ambient': '1600.1937', 'aut_centralizer_order': 6144000, 'aut_label': '800.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144000, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['160.b1', '400.a1', '400.c1', '400.d1'], 'contains': ['1600.a1'], 'core': '800.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7483, 2455, 6367, 5105], 'generators': [880], 'label': '1600.1937.800.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '800.b1', 'normal_contained_in': ['160.b1', '400.a1', '400.c1', '400.d1'], 'normal_contains': ['1600.a1'], 'normalizer': '1.a1', 'old_label': '800.b1', 'projective_image': '800.344', 'quotient_action_image': '1.1', 'quotient_action_kernel': '800.344', 'quotient_action_kernel_order': 800, 'quotient_fusion': None, 'short_label': '800.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 77145168
{'ambient': '1600.1937', 'aut_centralizer_order': 3072000, 'aut_label': '800.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144000, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['160.c1', '400.b1', '400.c1', '400.e1', '400.i1'], 'contains': ['1600.a1'], 'core': '800.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [7750, 5214, 7184, 5393], 'generators': [2], 'label': '1600.1937.800.c1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '800.c1', 'normal_contained_in': ['160.c1', '400.b1', '400.c1', '400.e1'], 'normal_contains': ['1600.a1'], 'normalizer': '1.a1', 'old_label': '800.c1', 'projective_image': '800.347', 'quotient_action_image': '1.1', 'quotient_action_kernel': '800.347', 'quotient_action_kernel_order': 800, 'quotient_fusion': None, 'short_label': '800.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 77145169
{'ambient': '1600.1937', 'aut_centralizer_order': 3072000, 'aut_label': '800.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144000, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['160.d1', '400.b1', '400.d1', '400.e1'], 'contains': ['1600.a1'], 'core': '800.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [7215, 4833, 6157, 5680], 'generators': [82], 'label': '1600.1937.800.d1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '800.d1', 'normal_contained_in': ['160.d1', '400.b1', '400.d1', '400.e1'], 'normal_contains': ['1600.a1'], 'normalizer': '1.a1', 'old_label': '800.d1', 'projective_image': '800.342', 'quotient_action_image': '1.1', 'quotient_action_kernel': '800.342', 'quotient_action_kernel_order': 800, 'quotient_fusion': None, 'short_label': '800.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 77145170
{'ambient': '1600.1937', 'aut_centralizer_order': 6144000, 'aut_label': '800.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 6144000, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['160.e1', '400.a1', '400.e1', '400.f1', '400.g1', '400.h1'], 'contains': ['1600.a1'], 'core': '800.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [5392, 5895, 3685, 6819], 'generators': [80], 'label': '1600.1937.800.e1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '800.e1', 'normal_contained_in': ['160.e1', '400.a1', '400.e1', '400.f1', '400.g1', '400.h1'], 'normal_contains': ['1600.a1'], 'normalizer': '1.a1', 'old_label': '800.e1', 'projective_image': '800.357', 'quotient_action_image': '1.1', 'quotient_action_kernel': '800.357', 'quotient_action_kernel_order': 800, 'quotient_fusion': None, 'short_label': '800.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 77145171
{'ambient': '1600.1937', 'aut_centralizer_order': None, 'aut_label': '1600.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': ['320.a1', '800.a1', '800.b1', '800.c1', '800.d1', '800.e1'], 'contains': [], 'core': '1600.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7349, 5024, 6262, 5536], 'generators': [], 'label': '1600.1937.1600.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1600.a1', 'normal_contained_in': ['320.a1', '800.a1', '800.b1', '800.c1', '800.d1', '800.e1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1600.a1', 'projective_image': '1600.1937', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
