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gps_groups • Show schema
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{'Agroup': True, 'Zgroup': True, 'abelian': False, 'abelian_quotient': '160.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 24, 'aut_gen_orders': [2, 2, 4, 24], 'aut_gens': [[1, 32], [15, 128], [1, 352], [15, 416], [323, 416]], 'aut_group': '384.11025', 'aut_hash': 11025, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 384, 'aut_permdeg': 52, 'aut_perms': [71536530025857007725234910884809436397319975683301551456682082253772, 34155647796256711747706318004899423893991148076675502989114961504931, 71536492784094280491647757785326612420401875087460730644496482253772, 29640485559822108983634092467209537367564424408814542496935268285962], 'aut_phi_ratio': 3.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 2, 1, 1], [4, 1, 2, 1], [5, 1, 4, 1], [6, 2, 1, 1], [8, 1, 4, 1], [10, 1, 4, 1], [12, 2, 2, 1], [15, 2, 4, 1], [16, 1, 8, 1], [20, 1, 8, 1], [24, 2, 4, 1], [30, 2, 4, 1], [32, 3, 16, 1], [40, 1, 16, 1], [48, 2, 8, 1], [60, 2, 8, 1], [80, 1, 32, 1], [120, 2, 16, 1], [160, 3, 64, 1], [240, 2, 32, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_4\\times C_8\\times D_6', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 8, 'autcent_group': '64.83', 'autcent_hash': 83, 'autcent_nilpotent': True, 'autcent_order': 64, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2\\times C_4\\times C_8', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '6.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': False, 'autcentquo_order': 6, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3', 'cc_stats': [[1, 1, 1], [2, 1, 1], [3, 2, 1], [4, 1, 2], [5, 1, 4], [6, 2, 1], [8, 1, 4], [10, 1, 4], [12, 2, 2], [15, 2, 4], [16, 1, 8], [20, 1, 8], [24, 2, 4], [30, 2, 4], [32, 3, 16], [40, 1, 16], [48, 2, 8], [60, 2, 8], [80, 1, 32], [120, 2, 16], [160, 3, 64], [240, 2, 32]], 'center_label': '80.2', 'center_order': 80, 'central_product': True, 'central_quotient': '6.1', 'commutator_count': 1, 'commutator_label': '3.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '5.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 1, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['5.1', 1], ['96.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 2, 1, 1], [4, 1, 2, 1], [5, 1, 4, 1], [6, 2, 1, 1], [8, 1, 4, 1], [10, 1, 4, 1], [12, 2, 2, 1], [15, 2, 4, 1], [16, 1, 8, 1], [20, 1, 8, 1], [24, 2, 4, 1], [30, 2, 4, 1], [32, 3, 16, 1], [40, 1, 16, 1], [48, 2, 8, 1], [60, 2, 8, 1], [80, 1, 32, 1], [120, 2, 16, 1], [160, 3, 64, 1], [240, 2, 32, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 288, 'exponent': 480, 'exponents_of_order': [5, 1, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3, 5], 'faithful_reps': [[2, 0, 32]], 'familial': False, 'frattini_label': '16.1', 'frattini_quotient': '30.1', 'hash': 1, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 3], 'inner_gens': [[1, 352], [161, 32]], 'inner_hash': 1, 'inner_nilpotent': False, 'inner_order': 6, 'inner_split': True, 'inner_tex': 'S_3', 'inner_used': [1, 2], 'irrC_degree': 2, 'irrQ_degree': 64, 'irrQ_dim': 128, 'irrR_degree': 4, 'irrep_stats': [[1, 160], [2, 80]], 'label': '480.1', 'linC_count': 32, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 20, 'linQ_degree_count': 2, 'linQ_dim': 22, 'linQ_dim_count': 2, 'linR_count': 48, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C3:C160', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 22, 'number_characteristic_subgroups': 22, 'number_conjugacy_classes': 240, 'number_divisions': 22, 'number_normal_subgroups': 22, 'number_subgroup_autclasses': 24, 'number_subgroup_classes': 24, 'number_subgroups': 28, 'old_label': None, 'order': 480, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 1], [3, 2], [4, 2], [5, 4], [6, 2], [8, 4], [10, 4], [12, 4], [15, 8], [16, 8], [20, 8], [24, 8], [30, 8], [32, 48], [40, 16], [48, 16], [60, 16], [80, 32], [120, 32], [160, 192], [240, 64]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 8, 'outer_gen_orders': [2, 4, 8], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[31, 32], [9, 416], [29, 32]], 'outer_group': '64.83', 'outer_hash': 83, 'outer_nilpotent': True, 'outer_order': 64, 'outer_permdeg': 14, 'outer_perms': [6227020800, 43921662, 6227045674], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times C_4\\times C_8', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 40, 'pgroup': 0, 'primary_abelian_invariants': [32, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 3], [4, 4], [8, 5], [16, 4], [32, 2], [64, 2]], 'representations': {'PC': {'code': 448376277472426212570415111, 'gens': [1, 6], 'pres': [7, -2, -2, -2, -2, -2, -3, -5, 14, 36, 58, 80, 14789, 166]}, 'GLFp': {'d': 2, 'p': 241, 'gens': [1427747244, 82663, 3163439762]}, 'Perm': {'d': 40, 'gens': [20977490207357400510358458103170082976009144400, 33, 43441083145041092352400649249607004293166080000, 64443103696771261947117307834156674173642745600, 85380324741791465560494417143148925946240409600, 106315434575582136418410160312696723485201792000, 5760]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [160], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3:C_{160}', 'transitive_degree': 480, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 110382031
{'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 1, 'group_order': 480, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
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id: 110382142
{'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 1, 'group_order': 480, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 16, 'size': 1}
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id: 110382194
{'aut_label': '3A', 'centralizer': '2.a1.a1', 'counter': 3, 'group_counter': 1, 'group_order': 480, 'label': '3A', 'order': 3, 'powers': [3, 1, 3], 'representative': 160, 'size': 2}
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id: 110382205
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 1, 'group_order': 480, 'label': '4A1', 'order': 4, 'powers': [2, 5, 4], 'representative': 8, 'size': 1}
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id: 110382216
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 5, 'group_counter': 1, 'group_order': 480, 'label': '4A-1', 'order': 4, 'powers': [2, 4, 5], 'representative': 24, 'size': 1}
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id: 110382227
{'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 6, 'group_counter': 1, 'group_order': 480, 'label': '5A1', 'order': 5, 'powers': [8, 9, 1], 'representative': 192, 'size': 1}
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id: 110382238
{'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 7, 'group_counter': 1, 'group_order': 480, 'label': '5A-1', 'order': 5, 'powers': [9, 8, 1], 'representative': 288, 'size': 1}
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id: 110382249
{'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 8, 'group_counter': 1, 'group_order': 480, 'label': '5A2', 'order': 5, 'powers': [7, 6, 1], 'representative': 384, 'size': 1}
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id: 110382260
{'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 9, 'group_counter': 1, 'group_order': 480, 'label': '5A-2', 'order': 5, 'powers': [6, 7, 1], 'representative': 96, 'size': 1}
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id: 110382032
{'aut_label': '6A', 'centralizer': '2.a1.a1', 'counter': 10, 'group_counter': 1, 'group_order': 480, 'label': '6A', 'order': 6, 'powers': [3, 2, 10], 'representative': 336, 'size': 2}
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id: 110382043
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 1, 'group_order': 480, 'label': '8A1', 'order': 8, 'powers': [4, 13, 14], 'representative': 20, 'size': 1}
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id: 110382054
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 12, 'group_counter': 1, 'group_order': 480, 'label': '8A-1', 'order': 8, 'powers': [5, 14, 13], 'representative': 12, 'size': 1}
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id: 110382065
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 13, 'group_counter': 1, 'group_order': 480, 'label': '8A3', 'order': 8, 'powers': [5, 11, 12], 'representative': 28, 'size': 1}
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id: 110382076
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 14, 'group_counter': 1, 'group_order': 480, 'label': '8A-3', 'order': 8, 'powers': [4, 12, 11], 'representative': 4, 'size': 1}
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id: 110382087
{'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 15, 'group_counter': 1, 'group_order': 480, 'label': '10A1', 'order': 10, 'powers': [6, 17, 2], 'representative': 112, 'size': 1}
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id: 110382098
{'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 16, 'group_counter': 1, 'group_order': 480, 'label': '10A-1', 'order': 10, 'powers': [7, 18, 2], 'representative': 400, 'size': 1}
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id: 110382109
{'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 17, 'group_counter': 1, 'group_order': 480, 'label': '10A3', 'order': 10, 'powers': [9, 16, 2], 'representative': 304, 'size': 1}
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id: 110382120
{'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 18, 'group_counter': 1, 'group_order': 480, 'label': '10A-3', 'order': 10, 'powers': [8, 15, 2], 'representative': 208, 'size': 1}
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id: 110382131
{'aut_label': '12A1', 'centralizer': '2.a1.a1', 'counter': 19, 'group_counter': 1, 'group_order': 480, 'label': '12A1', 'order': 12, 'powers': [10, 5, 19], 'representative': 168, 'size': 2}
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id: 110382143
{'aut_label': '12A1', 'centralizer': '2.a1.a1', 'counter': 20, 'group_counter': 1, 'group_order': 480, 'label': '12A-1', 'order': 12, 'powers': [10, 4, 20], 'representative': 344, 'size': 2}
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id: 110382154
{'aut_label': '15A1', 'centralizer': '2.a1.a1', 'counter': 21, 'group_counter': 1, 'group_order': 480, 'label': '15A1', 'order': 15, 'powers': [23, 9, 3], 'representative': 32, 'size': 2}
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id: 110382165
{'aut_label': '15A1', 'centralizer': '2.a1.a1', 'counter': 22, 'group_counter': 1, 'group_order': 480, 'label': '15A-1', 'order': 15, 'powers': [24, 8, 3], 'representative': 448, 'size': 2}
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id: 110382176
{'aut_label': '15A1', 'centralizer': '2.a1.a1', 'counter': 23, 'group_counter': 1, 'group_order': 480, 'label': '15A2', 'order': 15, 'powers': [22, 6, 3], 'representative': 64, 'size': 2}
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id: 110382187
{'aut_label': '15A1', 'centralizer': '2.a1.a1', 'counter': 24, 'group_counter': 1, 'group_order': 480, 'label': '15A-2', 'order': 15, 'powers': [21, 7, 3], 'representative': 416, 'size': 2}
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id: 110382189
{'aut_label': '16A1', 'centralizer': '1.a1.a1', 'counter': 25, 'group_counter': 1, 'group_order': 480, 'label': '16A1', 'order': 16, 'powers': [11, 27, 29], 'representative': 10, 'size': 1}
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id: 110382190
{'aut_label': '16A1', 'centralizer': '1.a1.a1', 'counter': 26, 'group_counter': 1, 'group_order': 480, 'label': '16A-1', 'order': 16, 'powers': [12, 28, 30], 'representative': 22, 'size': 1}
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id: 110382191
{'aut_label': '16A1', 'centralizer': '1.a1.a1', 'counter': 27, 'group_counter': 1, 'group_order': 480, 'label': '16A3', 'order': 16, 'powers': [13, 32, 26], 'representative': 30, 'size': 1}
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id: 110382192
{'aut_label': '16A1', 'centralizer': '1.a1.a1', 'counter': 28, 'group_counter': 1, 'group_order': 480, 'label': '16A-3', 'order': 16, 'powers': [14, 31, 25], 'representative': 2, 'size': 1}
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id: 110382193
{'aut_label': '16A1', 'centralizer': '1.a1.a1', 'counter': 29, 'group_counter': 1, 'group_order': 480, 'label': '16A5', 'order': 16, 'powers': [14, 26, 32], 'representative': 18, 'size': 1}
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id: 110382195
{'aut_label': '16A1', 'centralizer': '1.a1.a1', 'counter': 30, 'group_counter': 1, 'group_order': 480, 'label': '16A-5', 'order': 16, 'powers': [13, 25, 31], 'representative': 14, 'size': 1}
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id: 110382196
{'aut_label': '16A1', 'centralizer': '1.a1.a1', 'counter': 31, 'group_counter': 1, 'group_order': 480, 'label': '16A7', 'order': 16, 'powers': [12, 29, 27], 'representative': 6, 'size': 1}
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id: 110382197
{'aut_label': '16A1', 'centralizer': '1.a1.a1', 'counter': 32, 'group_counter': 1, 'group_order': 480, 'label': '16A-7', 'order': 16, 'powers': [11, 30, 28], 'representative': 26, 'size': 1}
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id: 110382198
{'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 33, 'group_counter': 1, 'group_order': 480, 'label': '20A1', 'order': 20, 'powers': [15, 35, 4], 'representative': 296, 'size': 1}
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id: 110382199
{'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 34, 'group_counter': 1, 'group_order': 480, 'label': '20A-1', 'order': 20, 'powers': [16, 36, 5], 'representative': 216, 'size': 1}
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id: 110382200
{'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 35, 'group_counter': 1, 'group_order': 480, 'label': '20A3', 'order': 20, 'powers': [17, 39, 5], 'representative': 408, 'size': 1}
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id: 110382201
{'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 36, 'group_counter': 1, 'group_order': 480, 'label': '20A-3', 'order': 20, 'powers': [18, 40, 4], 'representative': 104, 'size': 1}
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id: 110382202
{'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 37, 'group_counter': 1, 'group_order': 480, 'label': '20A7', 'order': 20, 'powers': [18, 33, 5], 'representative': 120, 'size': 1}
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id: 110382203
{'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 38, 'group_counter': 1, 'group_order': 480, 'label': '20A-7', 'order': 20, 'powers': [17, 34, 4], 'representative': 392, 'size': 1}
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id: 110382204
{'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 39, 'group_counter': 1, 'group_order': 480, 'label': '20A9', 'order': 20, 'powers': [16, 37, 4], 'representative': 200, 'size': 1}
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id: 110382206
{'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 40, 'group_counter': 1, 'group_order': 480, 'label': '20A-9', 'order': 20, 'powers': [15, 38, 5], 'representative': 312, 'size': 1}
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id: 110382207
{'aut_label': '24A1', 'centralizer': '2.a1.a1', 'counter': 41, 'group_counter': 1, 'group_order': 480, 'label': '24A1', 'order': 24, 'powers': [19, 13, 43], 'representative': 340, 'size': 2}
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id: 110382208
{'aut_label': '24A1', 'centralizer': '2.a1.a1', 'counter': 42, 'group_counter': 1, 'group_order': 480, 'label': '24A-1', 'order': 24, 'powers': [20, 14, 44], 'representative': 172, 'size': 2}
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id: 110382209
{'aut_label': '24A1', 'centralizer': '2.a1.a1', 'counter': 43, 'group_counter': 1, 'group_order': 480, 'label': '24A5', 'order': 24, 'powers': [19, 12, 41], 'representative': 164, 'size': 2}
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id: 110382210
{'aut_label': '24A1', 'centralizer': '2.a1.a1', 'counter': 44, 'group_counter': 1, 'group_order': 480, 'label': '24A-5', 'order': 24, 'powers': [20, 11, 42], 'representative': 348, 'size': 2}
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id: 110382211
{'aut_label': '30A1', 'centralizer': '2.a1.a1', 'counter': 45, 'group_counter': 1, 'group_order': 480, 'label': '30A1', 'order': 30, 'powers': [21, 17, 10], 'representative': 272, 'size': 2}
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id: 110382212
{'aut_label': '30A1', 'centralizer': '2.a1.a1', 'counter': 46, 'group_counter': 1, 'group_order': 480, 'label': '30A-1', 'order': 30, 'powers': [22, 18, 10], 'representative': 240, 'size': 2}
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id: 110382213
{'aut_label': '30A1', 'centralizer': '2.a1.a1', 'counter': 47, 'group_counter': 1, 'group_order': 480, 'label': '30A7', 'order': 30, 'powers': [23, 15, 10], 'representative': 368, 'size': 2}
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id: 110382214
{'aut_label': '30A1', 'centralizer': '2.a1.a1', 'counter': 48, 'group_counter': 1, 'group_order': 480, 'label': '30A-7', 'order': 30, 'powers': [24, 16, 10], 'representative': 144, 'size': 2}
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id: 110382215
{'aut_label': '32A1', 'centralizer': '3.a1.a1', 'counter': 49, 'group_counter': 1, 'group_order': 480, 'label': '32A1', 'order': 32, 'powers': [25, 51, 53], 'representative': 5, 'size': 3}
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id: 110382217
{'aut_label': '32A1', 'centralizer': '3.a1.a1', 'counter': 50, 'group_counter': 1, 'group_order': 480, 'label': '32A-1', 'order': 32, 'powers': [26, 52, 54], 'representative': 27, 'size': 3}
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id: 110382218
{'aut_label': '32A1', 'centralizer': '3.a1.a1', 'counter': 51, 'group_counter': 1, 'group_order': 480, 'label': '32A3', 'order': 32, 'powers': [27, 57, 63], 'representative': 15, 'size': 3}
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id: 110382219
{'aut_label': '32A1', 'centralizer': '3.a1.a1', 'counter': 52, 'group_counter': 1, 'group_order': 480, 'label': '32A-3', 'order': 32, 'powers': [28, 58, 64], 'representative': 17, 'size': 3}
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id: 110382220
{'aut_label': '32A1', 'centralizer': '3.a1.a1', 'counter': 53, 'group_counter': 1, 'group_order': 480, 'label': '32A5', 'order': 32, 'powers': [29, 63, 56], 'representative': 25, 'size': 3}
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id: 110382221
{'aut_label': '32A1', 'centralizer': '3.a1.a1', 'counter': 54, 'group_counter': 1, 'group_order': 480, 'label': '32A-5', 'order': 32, 'powers': [30, 64, 55], 'representative': 7, 'size': 3}
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id: 110382222
{'aut_label': '32A1', 'centralizer': '3.a1.a1', 'counter': 55, 'group_counter': 1, 'group_order': 480, 'label': '32A7', 'order': 32, 'powers': [31, 60, 51], 'representative': 3, 'size': 3}
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id: 110382223
{'aut_label': '32A1', 'centralizer': '3.a1.a1', 'counter': 56, 'group_counter': 1, 'group_order': 480, 'label': '32A-7', 'order': 32, 'powers': [32, 59, 52], 'representative': 29, 'size': 3}
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id: 110382224
{'aut_label': '32A1', 'centralizer': '3.a1.a1', 'counter': 57, 'group_counter': 1, 'group_order': 480, 'label': '32A9', 'order': 32, 'powers': [32, 54, 61], 'representative': 13, 'size': 3}
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id: 110382225
{'aut_label': '32A1', 'centralizer': '3.a1.a1', 'counter': 58, 'group_counter': 1, 'group_order': 480, 'label': '32A-9', 'order': 32, 'powers': [31, 53, 62], 'representative': 19, 'size': 3}
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id: 110382226
{'aut_label': '32A1', 'centralizer': '3.a1.a1', 'counter': 59, 'group_counter': 1, 'group_order': 480, 'label': '32A11', 'order': 32, 'powers': [30, 49, 58], 'representative': 23, 'size': 3}
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id: 110382228
{'aut_label': '32A1', 'centralizer': '3.a1.a1', 'counter': 60, 'group_counter': 1, 'group_order': 480, 'label': '32A-11', 'order': 32, 'powers': [29, 50, 57], 'representative': 9, 'size': 3}
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id: 110382229
{'aut_label': '32A1', 'centralizer': '3.a1.a1', 'counter': 61, 'group_counter': 1, 'group_order': 480, 'label': '32A13', 'order': 32, 'powers': [28, 55, 49], 'representative': 1, 'size': 3}
-
id: 110382230
{'aut_label': '32A1', 'centralizer': '3.a1.a1', 'counter': 62, 'group_counter': 1, 'group_order': 480, 'label': '32A-13', 'order': 32, 'powers': [27, 56, 50], 'representative': 31, 'size': 3}
-
id: 110382231
{'aut_label': '32A1', 'centralizer': '3.a1.a1', 'counter': 63, 'group_counter': 1, 'group_order': 480, 'label': '32A15', 'order': 32, 'powers': [26, 61, 59], 'representative': 11, 'size': 3}
-
id: 110382232
{'aut_label': '32A1', 'centralizer': '3.a1.a1', 'counter': 64, 'group_counter': 1, 'group_order': 480, 'label': '32A-15', 'order': 32, 'powers': [25, 62, 60], 'representative': 21, 'size': 3}
-
id: 110382233
{'aut_label': '40A1', 'centralizer': '1.a1.a1', 'counter': 65, 'group_counter': 1, 'group_order': 480, 'label': '40A1', 'order': 40, 'powers': [33, 67, 11], 'representative': 388, 'size': 1}
-
id: 110382234
{'aut_label': '40A1', 'centralizer': '1.a1.a1', 'counter': 66, 'group_counter': 1, 'group_order': 480, 'label': '40A-1', 'order': 40, 'powers': [34, 68, 12], 'representative': 124, 'size': 1}
-
id: 110382235
{'aut_label': '40A1', 'centralizer': '1.a1.a1', 'counter': 67, 'group_counter': 1, 'group_order': 480, 'label': '40A3', 'order': 40, 'powers': [35, 71, 13], 'representative': 204, 'size': 1}
-
id: 110382236
{'aut_label': '40A1', 'centralizer': '1.a1.a1', 'counter': 68, 'group_counter': 1, 'group_order': 480, 'label': '40A-3', 'order': 40, 'powers': [36, 72, 14], 'representative': 308, 'size': 1}
-
id: 110382237
{'aut_label': '40A1', 'centralizer': '1.a1.a1', 'counter': 69, 'group_counter': 1, 'group_order': 480, 'label': '40A7', 'order': 40, 'powers': [37, 80, 12], 'representative': 316, 'size': 1}
-
id: 110382239
{'aut_label': '40A1', 'centralizer': '1.a1.a1', 'counter': 70, 'group_counter': 1, 'group_order': 480, 'label': '40A-7', 'order': 40, 'powers': [38, 79, 11], 'representative': 196, 'size': 1}
-
id: 110382240
{'aut_label': '40A1', 'centralizer': '1.a1.a1', 'counter': 71, 'group_counter': 1, 'group_order': 480, 'label': '40A9', 'order': 40, 'powers': [39, 76, 11], 'representative': 100, 'size': 1}
-
id: 110382241
{'aut_label': '40A1', 'centralizer': '1.a1.a1', 'counter': 72, 'group_counter': 1, 'group_order': 480, 'label': '40A-9', 'order': 40, 'powers': [40, 75, 12], 'representative': 412, 'size': 1}
-
id: 110382242
{'aut_label': '40A1', 'centralizer': '1.a1.a1', 'counter': 73, 'group_counter': 1, 'group_order': 480, 'label': '40A11', 'order': 40, 'powers': [40, 70, 13], 'representative': 396, 'size': 1}
-
id: 110382243
{'aut_label': '40A1', 'centralizer': '1.a1.a1', 'counter': 74, 'group_counter': 1, 'group_order': 480, 'label': '40A-11', 'order': 40, 'powers': [39, 69, 14], 'representative': 116, 'size': 1}
-
id: 110382244
{'aut_label': '40A1', 'centralizer': '1.a1.a1', 'counter': 75, 'group_counter': 1, 'group_order': 480, 'label': '40A13', 'order': 40, 'powers': [38, 66, 14], 'representative': 212, 'size': 1}
-
id: 110382245
{'aut_label': '40A1', 'centralizer': '1.a1.a1', 'counter': 76, 'group_counter': 1, 'group_order': 480, 'label': '40A-13', 'order': 40, 'powers': [37, 65, 13], 'representative': 300, 'size': 1}
-
id: 110382246
{'aut_label': '40A1', 'centralizer': '1.a1.a1', 'counter': 77, 'group_counter': 1, 'group_order': 480, 'label': '40A17', 'order': 40, 'powers': [36, 73, 11], 'representative': 292, 'size': 1}
-
id: 110382247
{'aut_label': '40A1', 'centralizer': '1.a1.a1', 'counter': 78, 'group_counter': 1, 'group_order': 480, 'label': '40A-17', 'order': 40, 'powers': [35, 74, 12], 'representative': 220, 'size': 1}
-
id: 110382248
{'aut_label': '40A1', 'centralizer': '1.a1.a1', 'counter': 79, 'group_counter': 1, 'group_order': 480, 'label': '40A19', 'order': 40, 'powers': [34, 77, 13], 'representative': 108, 'size': 1}
-
id: 110382250
{'aut_label': '40A1', 'centralizer': '1.a1.a1', 'counter': 80, 'group_counter': 1, 'group_order': 480, 'label': '40A-19', 'order': 40, 'powers': [33, 78, 14], 'representative': 404, 'size': 1}
-
id: 110382251
{'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 81, 'group_counter': 1, 'group_order': 480, 'label': '48A1', 'order': 48, 'powers': [41, 27, 83], 'representative': 170, 'size': 2}
-
id: 110382252
{'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 82, 'group_counter': 1, 'group_order': 480, 'label': '48A-1', 'order': 48, 'powers': [42, 28, 84], 'representative': 342, 'size': 2}
-
id: 110382253
{'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 83, 'group_counter': 1, 'group_order': 480, 'label': '48A5', 'order': 48, 'powers': [43, 26, 86], 'representative': 338, 'size': 2}
-
id: 110382254
{'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 84, 'group_counter': 1, 'group_order': 480, 'label': '48A-5', 'order': 48, 'powers': [44, 25, 85], 'representative': 174, 'size': 2}
-
id: 110382255
{'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 85, 'group_counter': 1, 'group_order': 480, 'label': '48A7', 'order': 48, 'powers': [42, 29, 88], 'representative': 166, 'size': 2}
-
id: 110382256
{'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 86, 'group_counter': 1, 'group_order': 480, 'label': '48A-7', 'order': 48, 'powers': [41, 30, 87], 'representative': 346, 'size': 2}
-
id: 110382257
{'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 87, 'group_counter': 1, 'group_order': 480, 'label': '48A13', 'order': 48, 'powers': [43, 31, 81], 'representative': 162, 'size': 2}
-
id: 110382258
{'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 88, 'group_counter': 1, 'group_order': 480, 'label': '48A-13', 'order': 48, 'powers': [44, 32, 82], 'representative': 350, 'size': 2}
-
id: 110382259
{'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 89, 'group_counter': 1, 'group_order': 480, 'label': '60A1', 'order': 60, 'powers': [45, 35, 19], 'representative': 136, 'size': 2}
-
id: 110382261
{'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 90, 'group_counter': 1, 'group_order': 480, 'label': '60A-1', 'order': 60, 'powers': [46, 36, 20], 'representative': 376, 'size': 2}
-
id: 110382262
{'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 91, 'group_counter': 1, 'group_order': 480, 'label': '60A7', 'order': 60, 'powers': [47, 33, 20], 'representative': 440, 'size': 2}
-
id: 110382263
{'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 92, 'group_counter': 1, 'group_order': 480, 'label': '60A-7', 'order': 60, 'powers': [48, 34, 19], 'representative': 72, 'size': 2}
-
id: 110382264
{'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 93, 'group_counter': 1, 'group_order': 480, 'label': '60A11', 'order': 60, 'powers': [45, 38, 20], 'representative': 472, 'size': 2}
-
id: 110382265
{'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 94, 'group_counter': 1, 'group_order': 480, 'label': '60A-11', 'order': 60, 'powers': [46, 37, 19], 'representative': 40, 'size': 2}
-
id: 110382266
{'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 95, 'group_counter': 1, 'group_order': 480, 'label': '60A17', 'order': 60, 'powers': [47, 40, 19], 'representative': 264, 'size': 2}
-
id: 110382267
{'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 96, 'group_counter': 1, 'group_order': 480, 'label': '60A-17', 'order': 60, 'powers': [48, 39, 20], 'representative': 248, 'size': 2}
-
id: 110382268
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 97, 'group_counter': 1, 'group_order': 480, 'label': '80A1', 'order': 80, 'powers': [65, 99, 25], 'representative': 194, 'size': 1}
-
id: 110382269
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 98, 'group_counter': 1, 'group_order': 480, 'label': '80A-1', 'order': 80, 'powers': [66, 100, 26], 'representative': 318, 'size': 1}
-
id: 110382270
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 99, 'group_counter': 1, 'group_order': 480, 'label': '80A3', 'order': 80, 'powers': [67, 103, 27], 'representative': 102, 'size': 1}
-
id: 110382033
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 100, 'group_counter': 1, 'group_order': 480, 'label': '80A-3', 'order': 80, 'powers': [68, 104, 28], 'representative': 410, 'size': 1}
-
id: 110382034
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 101, 'group_counter': 1, 'group_order': 480, 'label': '80A7', 'order': 80, 'powers': [69, 113, 31], 'representative': 398, 'size': 1}
-
id: 110382035
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 102, 'group_counter': 1, 'group_order': 480, 'label': '80A-7', 'order': 80, 'powers': [70, 114, 32], 'representative': 114, 'size': 1}
-
id: 110382036
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 103, 'group_counter': 1, 'group_order': 480, 'label': '80A9', 'order': 80, 'powers': [71, 117, 32], 'representative': 306, 'size': 1}
-
id: 110382037
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 104, 'group_counter': 1, 'group_order': 480, 'label': '80A-9', 'order': 80, 'powers': [72, 118, 31], 'representative': 206, 'size': 1}
-
id: 110382038
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 105, 'group_counter': 1, 'group_order': 480, 'label': '80A11', 'order': 80, 'powers': [73, 123, 30], 'representative': 214, 'size': 1}
-
id: 110382039
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 106, 'group_counter': 1, 'group_order': 480, 'label': '80A-11', 'order': 80, 'powers': [74, 124, 29], 'representative': 298, 'size': 1}
-
id: 110382040
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 107, 'group_counter': 1, 'group_order': 480, 'label': '80A13', 'order': 80, 'powers': [75, 127, 28], 'representative': 122, 'size': 1}
-
id: 110382041
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 108, 'group_counter': 1, 'group_order': 480, 'label': '80A-13', 'order': 80, 'powers': [76, 128, 27], 'representative': 390, 'size': 1}
-
id: 110382042
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 109, 'group_counter': 1, 'group_order': 480, 'label': '80A17', 'order': 80, 'powers': [77, 120, 25], 'representative': 386, 'size': 1}
-
id: 110382044
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 110, 'group_counter': 1, 'group_order': 480, 'label': '80A-17', 'order': 80, 'powers': [78, 119, 26], 'representative': 126, 'size': 1}
-
id: 110382045
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 111, 'group_counter': 1, 'group_order': 480, 'label': '80A19', 'order': 80, 'powers': [79, 116, 27], 'representative': 294, 'size': 1}
-
id: 110382046
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 112, 'group_counter': 1, 'group_order': 480, 'label': '80A-19', 'order': 80, 'powers': [80, 115, 28], 'representative': 218, 'size': 1}
-
id: 110382047
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 113, 'group_counter': 1, 'group_order': 480, 'label': '80A21', 'order': 80, 'powers': [80, 110, 29], 'representative': 202, 'size': 1}
-
id: 110382048
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 114, 'group_counter': 1, 'group_order': 480, 'label': '80A-21', 'order': 80, 'powers': [79, 109, 30], 'representative': 310, 'size': 1}
-
id: 110382049
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 115, 'group_counter': 1, 'group_order': 480, 'label': '80A23', 'order': 80, 'powers': [78, 106, 31], 'representative': 110, 'size': 1}
-
id: 110382050
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 116, 'group_counter': 1, 'group_order': 480, 'label': '80A-23', 'order': 80, 'powers': [77, 105, 32], 'representative': 402, 'size': 1}
-
id: 110382051
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 117, 'group_counter': 1, 'group_order': 480, 'label': '80A27', 'order': 80, 'powers': [76, 97, 30], 'representative': 406, 'size': 1}
-
id: 110382052
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 118, 'group_counter': 1, 'group_order': 480, 'label': '80A-27', 'order': 80, 'powers': [75, 98, 29], 'representative': 106, 'size': 1}
-
id: 110382053
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 119, 'group_counter': 1, 'group_order': 480, 'label': '80A29', 'order': 80, 'powers': [74, 101, 28], 'representative': 314, 'size': 1}
-
id: 110382055
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 120, 'group_counter': 1, 'group_order': 480, 'label': '80A-29', 'order': 80, 'powers': [73, 102, 27], 'representative': 198, 'size': 1}
-
id: 110382056
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 121, 'group_counter': 1, 'group_order': 480, 'label': '80A31', 'order': 80, 'powers': [72, 107, 26], 'representative': 222, 'size': 1}
-
id: 110382057
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 122, 'group_counter': 1, 'group_order': 480, 'label': '80A-31', 'order': 80, 'powers': [71, 108, 25], 'representative': 290, 'size': 1}
-
id: 110382058
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 123, 'group_counter': 1, 'group_order': 480, 'label': '80A33', 'order': 80, 'powers': [70, 111, 25], 'representative': 98, 'size': 1}
-
id: 110382059
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 124, 'group_counter': 1, 'group_order': 480, 'label': '80A-33', 'order': 80, 'powers': [69, 112, 26], 'representative': 414, 'size': 1}
-
id: 110382060
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 125, 'group_counter': 1, 'group_order': 480, 'label': '80A37', 'order': 80, 'powers': [68, 121, 29], 'representative': 394, 'size': 1}
-
id: 110382061
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 126, 'group_counter': 1, 'group_order': 480, 'label': '80A-37', 'order': 80, 'powers': [67, 122, 30], 'representative': 118, 'size': 1}
-
id: 110382062
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 127, 'group_counter': 1, 'group_order': 480, 'label': '80A39', 'order': 80, 'powers': [66, 125, 31], 'representative': 302, 'size': 1}
-
id: 110382063
{'aut_label': '80A1', 'centralizer': '1.a1.a1', 'counter': 128, 'group_counter': 1, 'group_order': 480, 'label': '80A-39', 'order': 80, 'powers': [65, 126, 32], 'representative': 210, 'size': 1}
-
id: 110382064
{'aut_label': '120A1', 'centralizer': '2.a1.a1', 'counter': 129, 'group_counter': 1, 'group_order': 480, 'label': '120A1', 'order': 120, 'powers': [89, 67, 41], 'representative': 68, 'size': 2}
-
id: 110382066
{'aut_label': '120A1', 'centralizer': '2.a1.a1', 'counter': 130, 'group_counter': 1, 'group_order': 480, 'label': '120A-1', 'order': 120, 'powers': [90, 68, 42], 'representative': 444, 'size': 2}
-
id: 110382067
{'aut_label': '120A1', 'centralizer': '2.a1.a1', 'counter': 131, 'group_counter': 1, 'group_order': 480, 'label': '120A7', 'order': 120, 'powers': [91, 80, 42], 'representative': 476, 'size': 2}
-
id: 110382068
{'aut_label': '120A1', 'centralizer': '2.a1.a1', 'counter': 132, 'group_counter': 1, 'group_order': 480, 'label': '120A-7', 'order': 120, 'powers': [92, 79, 41], 'representative': 36, 'size': 2}
-
id: 110382069
{'aut_label': '120A1', 'centralizer': '2.a1.a1', 'counter': 133, 'group_counter': 1, 'group_order': 480, 'label': '120A11', 'order': 120, 'powers': [93, 70, 44], 'representative': 236, 'size': 2}
-
id: 110382070
{'aut_label': '120A1', 'centralizer': '2.a1.a1', 'counter': 134, 'group_counter': 1, 'group_order': 480, 'label': '120A-11', 'order': 120, 'powers': [94, 69, 43], 'representative': 276, 'size': 2}
-
id: 110382071
{'aut_label': '120A1', 'centralizer': '2.a1.a1', 'counter': 135, 'group_counter': 1, 'group_order': 480, 'label': '120A13', 'order': 120, 'powers': [92, 66, 43], 'representative': 372, 'size': 2}
-
id: 110382072
{'aut_label': '120A1', 'centralizer': '2.a1.a1', 'counter': 136, 'group_counter': 1, 'group_order': 480, 'label': '120A-13', 'order': 120, 'powers': [91, 65, 44], 'representative': 140, 'size': 2}
-
id: 110382073
{'aut_label': '120A1', 'centralizer': '2.a1.a1', 'counter': 137, 'group_counter': 1, 'group_order': 480, 'label': '120A17', 'order': 120, 'powers': [95, 73, 41], 'representative': 132, 'size': 2}
-
id: 110382074
{'aut_label': '120A1', 'centralizer': '2.a1.a1', 'counter': 138, 'group_counter': 1, 'group_order': 480, 'label': '120A-17', 'order': 120, 'powers': [96, 74, 42], 'representative': 380, 'size': 2}
-
id: 110382075
{'aut_label': '120A1', 'centralizer': '2.a1.a1', 'counter': 139, 'group_counter': 1, 'group_order': 480, 'label': '120A19', 'order': 120, 'powers': [90, 77, 44], 'representative': 268, 'size': 2}
-
id: 110382077
{'aut_label': '120A1', 'centralizer': '2.a1.a1', 'counter': 140, 'group_counter': 1, 'group_order': 480, 'label': '120A-19', 'order': 120, 'powers': [89, 78, 43], 'representative': 244, 'size': 2}
-
id: 110382078
{'aut_label': '120A1', 'centralizer': '2.a1.a1', 'counter': 141, 'group_counter': 1, 'group_order': 480, 'label': '120A31', 'order': 120, 'powers': [93, 75, 42], 'representative': 92, 'size': 2}
-
id: 110382079
{'aut_label': '120A1', 'centralizer': '2.a1.a1', 'counter': 142, 'group_counter': 1, 'group_order': 480, 'label': '120A-31', 'order': 120, 'powers': [94, 76, 41], 'representative': 420, 'size': 2}
-
id: 110382080
{'aut_label': '120A1', 'centralizer': '2.a1.a1', 'counter': 143, 'group_counter': 1, 'group_order': 480, 'label': '120A37', 'order': 120, 'powers': [95, 72, 43], 'representative': 468, 'size': 2}
-
id: 110382081
{'aut_label': '120A1', 'centralizer': '2.a1.a1', 'counter': 144, 'group_counter': 1, 'group_order': 480, 'label': '120A-37', 'order': 120, 'powers': [96, 71, 44], 'representative': 44, 'size': 2}
-
id: 110382082
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 145, 'group_counter': 1, 'group_order': 480, 'label': '160A1', 'order': 160, 'powers': [97, 147, 49], 'representative': 97, 'size': 3}
-
id: 110382083
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 146, 'group_counter': 1, 'group_order': 480, 'label': '160A-1', 'order': 160, 'powers': [98, 148, 50], 'representative': 95, 'size': 3}
-
id: 110382084
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 147, 'group_counter': 1, 'group_order': 480, 'label': '160A3', 'order': 160, 'powers': [99, 151, 51], 'representative': 291, 'size': 3}
-
id: 110382085
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 148, 'group_counter': 1, 'group_order': 480, 'label': '160A-3', 'order': 160, 'powers': [100, 152, 52], 'representative': 61, 'size': 3}
-
id: 110382086
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 149, 'group_counter': 1, 'group_order': 480, 'label': '160A7', 'order': 160, 'powers': [101, 161, 55], 'representative': 39, 'size': 3}
-
id: 110382088
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 150, 'group_counter': 1, 'group_order': 480, 'label': '160A-7', 'order': 160, 'powers': [102, 162, 56], 'representative': 313, 'size': 3}
-
id: 110382089
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 151, 'group_counter': 1, 'group_order': 480, 'label': '160A9', 'order': 160, 'powers': [103, 165, 57], 'representative': 73, 'size': 3}
-
id: 110382090
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 152, 'group_counter': 1, 'group_order': 480, 'label': '160A-9', 'order': 160, 'powers': [104, 166, 58], 'representative': 119, 'size': 3}
-
id: 110382091
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 153, 'group_counter': 1, 'group_order': 480, 'label': '160A11', 'order': 160, 'powers': [105, 171, 59], 'representative': 107, 'size': 3}
-
id: 110382092
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 154, 'group_counter': 1, 'group_order': 480, 'label': '160A-11', 'order': 160, 'powers': [106, 172, 60], 'representative': 85, 'size': 3}
-
id: 110382093
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 155, 'group_counter': 1, 'group_order': 480, 'label': '160A13', 'order': 160, 'powers': [107, 175, 61], 'representative': 301, 'size': 3}
-
id: 110382094
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 156, 'group_counter': 1, 'group_order': 480, 'label': '160A-13', 'order': 160, 'powers': [108, 176, 62], 'representative': 51, 'size': 3}
-
id: 110382095
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 157, 'group_counter': 1, 'group_order': 480, 'label': '160A17', 'order': 160, 'powers': [109, 185, 64], 'representative': 49, 'size': 3}
-
id: 110382096
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 158, 'group_counter': 1, 'group_order': 480, 'label': '160A-17', 'order': 160, 'powers': [110, 186, 63], 'representative': 303, 'size': 3}
-
id: 110382097
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 159, 'group_counter': 1, 'group_order': 480, 'label': '160A19', 'order': 160, 'powers': [111, 189, 62], 'representative': 83, 'size': 3}
-
id: 110382099
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 160, 'group_counter': 1, 'group_order': 480, 'label': '160A-19', 'order': 160, 'powers': [112, 190, 61], 'representative': 109, 'size': 3}
-
id: 110382100
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 161, 'group_counter': 1, 'group_order': 480, 'label': '160A21', 'order': 160, 'powers': [113, 195, 60], 'representative': 117, 'size': 3}
-
id: 110382101
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 162, 'group_counter': 1, 'group_order': 480, 'label': '160A-21', 'order': 160, 'powers': [114, 196, 59], 'representative': 75, 'size': 3}
-
id: 110382102
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 163, 'group_counter': 1, 'group_order': 480, 'label': '160A23', 'order': 160, 'powers': [115, 199, 58], 'representative': 311, 'size': 3}
-
id: 110382103
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 164, 'group_counter': 1, 'group_order': 480, 'label': '160A-23', 'order': 160, 'powers': [116, 200, 57], 'representative': 41, 'size': 3}
-
id: 110382104
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 165, 'group_counter': 1, 'group_order': 480, 'label': '160A27', 'order': 160, 'powers': [117, 208, 54], 'representative': 59, 'size': 3}
-
id: 110382105
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 166, 'group_counter': 1, 'group_order': 480, 'label': '160A-27', 'order': 160, 'powers': [118, 207, 53], 'representative': 293, 'size': 3}
-
id: 110382106
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 167, 'group_counter': 1, 'group_order': 480, 'label': '160A29', 'order': 160, 'powers': [119, 204, 52], 'representative': 93, 'size': 3}
-
id: 110382107
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 168, 'group_counter': 1, 'group_order': 480, 'label': '160A-29', 'order': 160, 'powers': [120, 203, 51], 'representative': 99, 'size': 3}
-
id: 110382108
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 169, 'group_counter': 1, 'group_order': 480, 'label': '160A31', 'order': 160, 'powers': [121, 198, 50], 'representative': 127, 'size': 3}
-
id: 110382110
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 170, 'group_counter': 1, 'group_order': 480, 'label': '160A-31', 'order': 160, 'powers': [122, 197, 49], 'representative': 65, 'size': 3}
-
id: 110382111
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 171, 'group_counter': 1, 'group_order': 480, 'label': '160A33', 'order': 160, 'powers': [123, 194, 49], 'representative': 289, 'size': 3}
-
id: 110382112
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 172, 'group_counter': 1, 'group_order': 480, 'label': '160A-33', 'order': 160, 'powers': [124, 193, 50], 'representative': 63, 'size': 3}
-
id: 110382113
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 173, 'group_counter': 1, 'group_order': 480, 'label': '160A37', 'order': 160, 'powers': [125, 184, 53], 'representative': 37, 'size': 3}
-
id: 110382114
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 174, 'group_counter': 1, 'group_order': 480, 'label': '160A-37', 'order': 160, 'powers': [126, 183, 54], 'representative': 315, 'size': 3}
-
id: 110382115
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 175, 'group_counter': 1, 'group_order': 480, 'label': '160A39', 'order': 160, 'powers': [127, 180, 55], 'representative': 71, 'size': 3}
-
id: 110382116
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 176, 'group_counter': 1, 'group_order': 480, 'label': '160A-39', 'order': 160, 'powers': [128, 179, 56], 'representative': 121, 'size': 3}
-
id: 110382117
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 177, 'group_counter': 1, 'group_order': 480, 'label': '160A41', 'order': 160, 'powers': [128, 174, 57], 'representative': 105, 'size': 3}
-
id: 110382118
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 178, 'group_counter': 1, 'group_order': 480, 'label': '160A-41', 'order': 160, 'powers': [127, 173, 58], 'representative': 87, 'size': 3}
-
id: 110382119
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 179, 'group_counter': 1, 'group_order': 480, 'label': '160A43', 'order': 160, 'powers': [126, 170, 59], 'representative': 299, 'size': 3}
-
id: 110382121
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 180, 'group_counter': 1, 'group_order': 480, 'label': '160A-43', 'order': 160, 'powers': [125, 169, 60], 'representative': 53, 'size': 3}
-
id: 110382122
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 181, 'group_counter': 1, 'group_order': 480, 'label': '160A47', 'order': 160, 'powers': [124, 160, 63], 'representative': 47, 'size': 3}
-
id: 110382123
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 182, 'group_counter': 1, 'group_order': 480, 'label': '160A-47', 'order': 160, 'powers': [123, 159, 64], 'representative': 305, 'size': 3}
-
id: 110382124
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 183, 'group_counter': 1, 'group_order': 480, 'label': '160A49', 'order': 160, 'powers': [122, 156, 64], 'representative': 81, 'size': 3}
-
id: 110382125
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 184, 'group_counter': 1, 'group_order': 480, 'label': '160A-49', 'order': 160, 'powers': [121, 155, 63], 'representative': 111, 'size': 3}
-
id: 110382126
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 185, 'group_counter': 1, 'group_order': 480, 'label': '160A51', 'order': 160, 'powers': [120, 150, 62], 'representative': 115, 'size': 3}
-
id: 110382127
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 186, 'group_counter': 1, 'group_order': 480, 'label': '160A-51', 'order': 160, 'powers': [119, 149, 61], 'representative': 77, 'size': 3}
-
id: 110382128
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 187, 'group_counter': 1, 'group_order': 480, 'label': '160A53', 'order': 160, 'powers': [118, 146, 60], 'representative': 309, 'size': 3}
-
id: 110382129
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 188, 'group_counter': 1, 'group_order': 480, 'label': '160A-53', 'order': 160, 'powers': [117, 145, 59], 'representative': 43, 'size': 3}
-
id: 110382130
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 189, 'group_counter': 1, 'group_order': 480, 'label': '160A57', 'order': 160, 'powers': [116, 153, 56], 'representative': 57, 'size': 3}
-
id: 110382132
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 190, 'group_counter': 1, 'group_order': 480, 'label': '160A-57', 'order': 160, 'powers': [115, 154, 55], 'representative': 295, 'size': 3}
-
id: 110382133
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 191, 'group_counter': 1, 'group_order': 480, 'label': '160A59', 'order': 160, 'powers': [114, 157, 54], 'representative': 91, 'size': 3}
-
id: 110382134
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 192, 'group_counter': 1, 'group_order': 480, 'label': '160A-59', 'order': 160, 'powers': [113, 158, 53], 'representative': 101, 'size': 3}
-
id: 110382135
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 193, 'group_counter': 1, 'group_order': 480, 'label': '160A61', 'order': 160, 'powers': [112, 163, 52], 'representative': 125, 'size': 3}
-
id: 110382136
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 194, 'group_counter': 1, 'group_order': 480, 'label': '160A-61', 'order': 160, 'powers': [111, 164, 51], 'representative': 67, 'size': 3}
-
id: 110382137
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 195, 'group_counter': 1, 'group_order': 480, 'label': '160A63', 'order': 160, 'powers': [110, 167, 50], 'representative': 319, 'size': 3}
-
id: 110382138
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 196, 'group_counter': 1, 'group_order': 480, 'label': '160A-63', 'order': 160, 'powers': [109, 168, 49], 'representative': 33, 'size': 3}
-
id: 110382139
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 197, 'group_counter': 1, 'group_order': 480, 'label': '160A67', 'order': 160, 'powers': [108, 177, 51], 'representative': 35, 'size': 3}
-
id: 110382140
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 198, 'group_counter': 1, 'group_order': 480, 'label': '160A-67', 'order': 160, 'powers': [107, 178, 52], 'representative': 317, 'size': 3}
-
id: 110382141
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 199, 'group_counter': 1, 'group_order': 480, 'label': '160A69', 'order': 160, 'powers': [106, 181, 53], 'representative': 69, 'size': 3}
-
id: 110382144
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 200, 'group_counter': 1, 'group_order': 480, 'label': '160A-69', 'order': 160, 'powers': [105, 182, 54], 'representative': 123, 'size': 3}
-
id: 110382145
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 201, 'group_counter': 1, 'group_order': 480, 'label': '160A71', 'order': 160, 'powers': [104, 187, 55], 'representative': 103, 'size': 3}
-
id: 110382146
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 202, 'group_counter': 1, 'group_order': 480, 'label': '160A-71', 'order': 160, 'powers': [103, 188, 56], 'representative': 89, 'size': 3}
-
id: 110382147
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 203, 'group_counter': 1, 'group_order': 480, 'label': '160A73', 'order': 160, 'powers': [102, 191, 57], 'representative': 297, 'size': 3}
-
id: 110382148
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 204, 'group_counter': 1, 'group_order': 480, 'label': '160A-73', 'order': 160, 'powers': [101, 192, 58], 'representative': 55, 'size': 3}
-
id: 110382149
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 205, 'group_counter': 1, 'group_order': 480, 'label': '160A77', 'order': 160, 'powers': [100, 201, 61], 'representative': 45, 'size': 3}
-
id: 110382150
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 206, 'group_counter': 1, 'group_order': 480, 'label': '160A-77', 'order': 160, 'powers': [99, 202, 62], 'representative': 307, 'size': 3}
-
id: 110382151
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 207, 'group_counter': 1, 'group_order': 480, 'label': '160A79', 'order': 160, 'powers': [98, 205, 63], 'representative': 79, 'size': 3}
-
id: 110382152
{'aut_label': '160A1', 'centralizer': '3.a1.a1', 'counter': 208, 'group_counter': 1, 'group_order': 480, 'label': '160A-79', 'order': 160, 'powers': [97, 206, 64], 'representative': 113, 'size': 3}
-
id: 110382153
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 209, 'group_counter': 1, 'group_order': 480, 'label': '240A1', 'order': 240, 'powers': [129, 99, 81], 'representative': 34, 'size': 2}
-
id: 110382155
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 210, 'group_counter': 1, 'group_order': 480, 'label': '240A-1', 'order': 240, 'powers': [130, 100, 82], 'representative': 158, 'size': 2}
-
id: 110382156
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 211, 'group_counter': 1, 'group_order': 480, 'label': '240A7', 'order': 240, 'powers': [131, 113, 85], 'representative': 78, 'size': 2}
-
id: 110382157
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 212, 'group_counter': 1, 'group_order': 480, 'label': '240A-7', 'order': 240, 'powers': [132, 114, 86], 'representative': 274, 'size': 2}
-
id: 110382158
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 213, 'group_counter': 1, 'group_order': 480, 'label': '240A11', 'order': 240, 'powers': [133, 123, 84], 'representative': 54, 'size': 2}
-
id: 110382159
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 214, 'group_counter': 1, 'group_order': 480, 'label': '240A-11', 'order': 240, 'powers': [134, 124, 83], 'representative': 138, 'size': 2}
-
id: 110382160
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 215, 'group_counter': 1, 'group_order': 480, 'label': '240A13', 'order': 240, 'powers': [135, 127, 87], 'representative': 282, 'size': 2}
-
id: 110382161
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 216, 'group_counter': 1, 'group_order': 480, 'label': '240A-13', 'order': 240, 'powers': [136, 128, 88], 'representative': 70, 'size': 2}
-
id: 110382162
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 217, 'group_counter': 1, 'group_order': 480, 'label': '240A17', 'order': 240, 'powers': [137, 120, 81], 'representative': 66, 'size': 2}
-
id: 110382163
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 218, 'group_counter': 1, 'group_order': 480, 'label': '240A-17', 'order': 240, 'powers': [138, 119, 82], 'representative': 286, 'size': 2}
-
id: 110382164
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 219, 'group_counter': 1, 'group_order': 480, 'label': '240A19', 'order': 240, 'powers': [139, 116, 88], 'representative': 134, 'size': 2}
-
id: 110382166
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 220, 'group_counter': 1, 'group_order': 480, 'label': '240A-19', 'order': 240, 'powers': [140, 115, 87], 'representative': 58, 'size': 2}
-
id: 110382167
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 221, 'group_counter': 1, 'group_order': 480, 'label': '240A23', 'order': 240, 'powers': [138, 106, 85], 'representative': 270, 'size': 2}
-
id: 110382168
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 222, 'group_counter': 1, 'group_order': 480, 'label': '240A-23', 'order': 240, 'powers': [137, 105, 86], 'representative': 82, 'size': 2}
-
id: 110382169
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 223, 'group_counter': 1, 'group_order': 480, 'label': '240A29', 'order': 240, 'powers': [134, 101, 87], 'representative': 154, 'size': 2}
-
id: 110382170
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 224, 'group_counter': 1, 'group_order': 480, 'label': '240A-29', 'order': 240, 'powers': [133, 102, 88], 'representative': 38, 'size': 2}
-
id: 110382171
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 225, 'group_counter': 1, 'group_order': 480, 'label': '240A31', 'order': 240, 'powers': [141, 107, 82], 'representative': 62, 'size': 2}
-
id: 110382172
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 226, 'group_counter': 1, 'group_order': 480, 'label': '240A-31', 'order': 240, 'powers': [142, 108, 81], 'representative': 130, 'size': 2}
-
id: 110382173
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 227, 'group_counter': 1, 'group_order': 480, 'label': '240A37', 'order': 240, 'powers': [143, 121, 83], 'representative': 74, 'size': 2}
-
id: 110382174
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 228, 'group_counter': 1, 'group_order': 480, 'label': '240A-37', 'order': 240, 'powers': [144, 122, 84], 'representative': 278, 'size': 2}
-
id: 110382175
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 229, 'group_counter': 1, 'group_order': 480, 'label': '240A41', 'order': 240, 'powers': [129, 126, 86], 'representative': 50, 'size': 2}
-
id: 110382177
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 230, 'group_counter': 1, 'group_order': 480, 'label': '240A-41', 'order': 240, 'powers': [130, 125, 85], 'representative': 142, 'size': 2}
-
id: 110382178
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 231, 'group_counter': 1, 'group_order': 480, 'label': '240A47', 'order': 240, 'powers': [131, 112, 82], 'representative': 94, 'size': 2}
-
id: 110382179
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 232, 'group_counter': 1, 'group_order': 480, 'label': '240A-47', 'order': 240, 'powers': [132, 111, 81], 'representative': 258, 'size': 2}
-
id: 110382180
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 233, 'group_counter': 1, 'group_order': 480, 'label': '240A53', 'order': 240, 'powers': [135, 98, 83], 'representative': 266, 'size': 2}
-
id: 110382181
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 234, 'group_counter': 1, 'group_order': 480, 'label': '240A-53', 'order': 240, 'powers': [136, 97, 84], 'representative': 86, 'size': 2}
-
id: 110382182
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 235, 'group_counter': 1, 'group_order': 480, 'label': '240A59', 'order': 240, 'powers': [139, 109, 84], 'representative': 150, 'size': 2}
-
id: 110382183
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 236, 'group_counter': 1, 'group_order': 480, 'label': '240A-59', 'order': 240, 'powers': [140, 110, 83], 'representative': 42, 'size': 2}
-
id: 110382184
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 237, 'group_counter': 1, 'group_order': 480, 'label': '240A71', 'order': 240, 'powers': [141, 118, 85], 'representative': 46, 'size': 2}
-
id: 110382185
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 238, 'group_counter': 1, 'group_order': 480, 'label': '240A-71', 'order': 240, 'powers': [142, 117, 86], 'representative': 146, 'size': 2}
-
id: 110382186
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 239, 'group_counter': 1, 'group_order': 480, 'label': '240A77', 'order': 240, 'powers': [143, 104, 87], 'representative': 90, 'size': 2}
-
id: 110382188
{'aut_label': '240A1', 'centralizer': '2.a1.a1', 'counter': 240, 'group_counter': 1, 'group_order': 480, 'label': '240A-77', 'order': 240, 'powers': [144, 103, 88], 'representative': 262, 'size': 2}
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gps_qchar • Show schema
Hide schema
-
id: 4602845
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '480.1', 'group_order': 480, 'image': None, 'label': '480.1.1a', '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], 'schur_index': 1}
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id: 4602856
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id: 4602860
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id: 4602849
{'cdim': 2, 'counter': 13, 'faithful': False, 'group': '480.1', 'group_order': 480, 'image': None, 'label': '480.1.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, -1, 2, 2, 2, 2, 2, 2, -1, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, -1, -1, -1, -1, -1, -1, -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: 4602850
{'cdim': 2, 'counter': 14, 'faithful': False, 'group': '480.1', 'group_order': 480, 'image': None, 'label': '480.1.2b', 'multiplicity': 1, 'nt': [12, 5], 'qdim': 2, 'qvalues': [2, 2, -1, 2, 2, 2, 2, 2, 2, -1, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 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': 2}
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id: 4602861
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '480.1', 'group_order': 480, 'image': None, 'label': '480.1.1d', 'multiplicity': 4, 'nt': [5, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, -1, -1, -1, -1, 4, 4, 4, 4, 4, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 4602862
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '480.1', 'group_order': 480, 'image': None, 'label': '480.1.1e', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 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, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4602863
{'cdim': 1, 'counter': 6, 'faithful': False, 'group': '480.1', 'group_order': 480, 'image': None, 'label': '480.1.1f', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, -1, -1, -1, -1, 4, 4, 4, 4, 4, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, -1, -1, -1, -1, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 4602851
{'cdim': 2, 'counter': 15, 'faithful': False, 'group': '480.1', 'group_order': 480, 'image': None, 'label': '480.1.2c', 'multiplicity': 2, 'nt': [24, 8], 'qdim': 4, 'qvalues': [4, 4, -2, 4, 4, 4, 4, 4, 4, -2, -4, -4, -4, -4, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -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, 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], 'schur_index': 1}
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id: 4602864
{'cdim': 1, 'counter': 7, 'faithful': False, 'group': '480.1', 'group_order': 480, 'image': None, 'label': '480.1.1g', 'multiplicity': 8, 'nt': [16, 1], 'qdim': 8, 'qvalues': [8, 8, 8, -8, -8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, -8, -8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, -8, -8, -8, -8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4602865
{'cdim': 1, 'counter': 8, 'faithful': False, 'group': '480.1', 'group_order': 480, 'image': None, 'label': '480.1.1h', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, -2, -2, -2, -2, 8, 8, 8, 8, 8, -2, -2, -2, -2, 8, 8, -2, -2, -2, -2, -8, -8, -8, -8, -8, -8, -8, -8, -2, -2, -2, -2, -2, -2, -2, -2, 8, 8, 8, 8, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -8, -8, -8, -8, -8, -8, -8, -8, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'schur_index': 1}
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id: 4602852
{'cdim': 2, 'counter': 16, 'faithful': False, 'group': '480.1', 'group_order': 480, 'image': None, 'label': '480.1.2d', 'multiplicity': 4, 'nt': [15, 4], 'qdim': 8, 'qvalues': [8, 8, -4, 8, 8, -2, -2, -2, -2, -4, 8, 8, 8, 8, -2, -2, -2, -2, -4, -4, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, -2, -2, -2, -2, -2, -2, -2, -2, -4, -4, -4, -4, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 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: 4602853
{'cdim': 2, 'counter': 17, 'faithful': False, 'group': '480.1', 'group_order': 480, 'image': None, 'label': '480.1.2e', 'multiplicity': 4, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, 8, -4, -8, -8, 8, 8, 8, 8, -4, 0, 0, 0, 0, 8, 8, 8, 8, 4, 4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, -8, -8, -8, -8, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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], 'schur_index': 2}
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id: 4602854
{'cdim': 2, 'counter': 18, 'faithful': False, 'group': '480.1', 'group_order': 480, 'image': None, 'label': '480.1.2f', 'multiplicity': 4, 'nt': [60, 0], 'qdim': 8, 'qvalues': [8, 8, -4, 8, 8, -2, -2, -2, -2, -4, 8, 8, 8, 8, -2, -2, -2, -2, -4, -4, 1, 1, 1, 1, -8, -8, -8, -8, -8, -8, -8, -8, -2, -2, -2, -2, -2, -2, -2, -2, -4, -4, -4, -4, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -1, -1, -1, -1, -1, -1, -1, -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: 4602866
{'cdim': 1, 'counter': 9, 'faithful': False, 'group': '480.1', 'group_order': 480, 'image': None, 'label': '480.1.1i', 'multiplicity': 16, 'nt': [32, 33], 'qdim': 16, 'qvalues': [16, -16, 16, 0, 0, 16, 16, 16, 16, -16, 0, 0, 0, 0, -16, -16, -16, -16, 0, 0, 16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, -16, -16, -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], 'schur_index': 1}
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id: 4602846
{'cdim': 1, 'counter': 10, 'faithful': False, 'group': '480.1', 'group_order': 480, 'image': None, 'label': '480.1.1j', 'multiplicity': 16, 'nt': [40, 1], 'qdim': 16, 'qvalues': [16, 16, 16, 16, 16, -4, -4, -4, -4, 16, -16, -16, -16, -16, -4, -4, -4, -4, 16, 16, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -16, -16, -16, -16, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4602855
{'cdim': 2, 'counter': 19, 'faithful': False, 'group': '480.1', 'group_order': 480, 'image': None, 'label': '480.1.2g', 'multiplicity': 8, 'nt': [96, 0], 'qdim': 16, 'qvalues': [16, -16, -8, 0, 0, 16, 16, 16, 16, 8, 0, 0, 0, 0, -16, -16, -16, -16, 0, 0, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4602857
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id: 4602847
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id: 4602858
{'cdim': 2, 'counter': 21, 'faithful': False, 'group': '480.1', 'group_order': 480, 'image': None, 'label': '480.1.2i', 'multiplicity': 16, 'nt': [240, 0], 'qdim': 32, 'qvalues': [32, 32, -16, -32, -32, -8, -8, -8, -8, -16, 0, 0, 0, 0, -8, -8, -8, -8, 16, 16, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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], 'schur_index': 1}
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id: 4602848
{'cdim': 1, 'counter': 12, 'faithful': False, 'group': '480.1', 'group_order': 480, 'image': None, 'label': '480.1.1l', 'multiplicity': 64, 'nt': [160, 0], 'qdim': 64, 'qvalues': [64, -64, 64, 0, 0, -16, -16, -16, -16, -64, 0, 0, 0, 0, 16, 16, 16, 16, 0, 0, -16, -16, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 16, 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], 'schur_index': 1}
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id: 4602859
{'cdim': 2, 'counter': 22, 'faithful': True, 'group': '480.1', 'group_order': 480, 'image': None, 'label': '480.1.2j', 'multiplicity': 32, 'nt': [480, 0], 'qdim': 64, 'qvalues': [64, -64, -32, 0, 0, -16, -16, -16, -16, 32, 0, 0, 0, 0, 16, 16, 16, 16, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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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gps_char • Show schema
Hide schema
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id: 7289490
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id: 7289601
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id: 7289653
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id: 7289664
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id: 7289675
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id: 7289686
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id: 7289697
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id: 7289708
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id: 7289719
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id: 7289491
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id: 7289502
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id: 7289513
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id: 7289524
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id: 7289535
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id: 7289546
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id: 7289557
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id: 7289568
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id: 7289579
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id: 7289590
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id: 7289602
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id: 7289613
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id: 7289624
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id: 7289635
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id: 7289646
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id: 7289648
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id: 7289649
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id: 7289650
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id: 7289651
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id: 7289652
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id: 7289654
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id: 7289655
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id: 7289656
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id: 7289657
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id: 7289667
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id: 7289668
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id: 7289669
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id: 7289670
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id: 7289671
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id: 7289672
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id: 7289673
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id: 7289658
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id: 7289659
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id: 7289660
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id: 7289661
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id: 7289662
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id: 7289663
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id: 7289665
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id: 7289666
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id: 7289674
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id: 7289684
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id: 7289685
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id: 7289687
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id: 7289688
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id: 7289689
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id: 7289690
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id: 7289691
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id: 7289676
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id: 7289677
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id: 7289678
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id: 7289679
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id: 7289680
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id: 7289681
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id: 7289682
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id: 7289683
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id: 7289692
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id: 7289702
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id: 7289703
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id: 7289704
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id: 7289705
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id: 7289706
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id: 7289707
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id: 7289709
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id: 7289710
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id: 7289711
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id: 7289712
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id: 7289693
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id: 7289713
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id: 7289714
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id: 7289715
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id: 7289716
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id: 7289717
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id: 7289718
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id: 7289720
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id: 7289721
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id: 7289722
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id: 7289723
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id: 7289694
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id: 7289724
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id: 7289725
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id: 7289726
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id: 7289695
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id: 7289696
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id: 7289698
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id: 7289699
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id: 7289700
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id: 7289701
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id: 7289727
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id: 7289498
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id: 7289499
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id: 7289500
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id: 7289501
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id: 7289503
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id: 7289504
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id: 7289505
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id: 7289506
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id: 7289507
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id: 7289508
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id: 7289728
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id: 7289509
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id: 7289510
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id: 7289511
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id: 7289512
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id: 7289514
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id: 7289515
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id: 7289516
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id: 7289517
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id: 7289518
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id: 7289519
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id: 7289729
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id: 7289520
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id: 7289521
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id: 7289522
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id: 7289523
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id: 7289525
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id: 7289526
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id: 7289527
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id: 7289528
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id: 7289529
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id: 7289530
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id: 7289492
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id: 7289531
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id: 7289532
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id: 7289533
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id: 7289534
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id: 7289536
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id: 7289537
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id: 7289538
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id: 7289539
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id: 7289540
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id: 7289541
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id: 7289493
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id: 7289542
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id: 7289543
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id: 7289544
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id: 7289545
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id: 7289547
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id: 7289548
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id: 7289549
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id: 7289550
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id: 7289551
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id: 7289552
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id: 7289494
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id: 7289553
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id: 7289554
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id: 7289555
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id: 7289556
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id: 7289558
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id: 7289495
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id: 7289496
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id: 7289497
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id: 7289559
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id: 7289560
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id: 7289561
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id: 7289562
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id: 7289563
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id: 7289564
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id: 7289565
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id: 7289566
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id: 7289567
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id: 7289569
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id: 7289570
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id: 7289571
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id: 7289572
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id: 7289573
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id: 7289574
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id: 7289575
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id: 7289576
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id: 7289577
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id: 7289578
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id: 7289580
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id: 7289581
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id: 7289582
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id: 7289583
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id: 7289584
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id: 7289585
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id: 7289586
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id: 7289587
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id: 7289588
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id: 7289589
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id: 7289591
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id: 7289592
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id: 7289593
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id: 7289594
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id: 7289605
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id: 7289606
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id: 7289607
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id: 7289608
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id: 7289609
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id: 7289610
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id: 7289611
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id: 7289595
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id: 7289596
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id: 7289597
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id: 7289598
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id: 7289599
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id: 7289600
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id: 7289603
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id: 7289604
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id: 7289612
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id: 7289622
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id: 7289623
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id: 7289625
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id: 7289626
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id: 7289627
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id: 7289628
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id: 7289629
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id: 7289630
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id: 7289631
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id: 7289632
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id: 7289614
{'center': '6.a1.a1', 'center_index': 6, 'center_order': 80, 'counter': 210, 'cyclotomic_n': 80, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '480.1', 'group_counter': 1, 'group_order': 480, 'image': None, 'image_isoclass': '480.1', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.a1', 'kernel_order': 1, 'label': '480.1.2j2', 'nt': [480, 32], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-1, 0]], [[2, 20]], [[-2, 20]], [[2, 32]], [[-2, 8]], [[-2, 24]], [[2, 16]], [[1, 0]], [[2, 30]], [[-2, 30]], [[-2, 10]], [[2, 10]], [[-2, 16]], [[2, 24]], [[2, 8]], [[-2, 32]], [[-1, 20]], [[1, 20]], [[-1, 32]], [[1, 8]], [[1, 24]], [[-1, 16]], [[2, 35]], [[2, 5]], [[2, 15]], [[-2, 35]], [[-2, 25]], [[-2, 5]], [[-2, 15]], [[2, 25]], [[2, 28]], [[-2, 36]], [[-2, 4]], [[2, 36]], [[2, 4]], [[2, 12]], [[-2, 28]], [[-2, 12]], [[1, 10]], [[-1, 30]], [[-1, 10]], [[1, 30]], [[1, 16]], [[-1, 24]], [[1, 32]], [[-1, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 34]], [[-2, 14]], [[2, 38]], [[2, 26]], [[-2, 6]], [[2, 22]], [[-2, 18]], [[2, 34]], [[2, 14]], [[-2, 26]], [[2, 2]], [[2, 6]], [[-2, 38]], [[-2, 22]], [[-2, 2]], [[2, 18]], [[-1, 35]], [[1, 15]], [[1, 5]], [[1, 35]], [[-1, 15]], [[1, 25]], [[-1, 5]], [[-1, 25]], [[1, 12]], [[-1, 12]], [[1, 28]], [[-1, 28]], [[1, 4]], [[1, 36]], [[-1, 36]], [[-1, 4]], [[-2, 29]], [[-2, 3]], [[2, 9]], [[-2, 23]], [[2, 7]], [[2, 19]], [[2, 1]], [[2, 33]], [[2, 37]], [[-2, 13]], [[-2, 31]], [[-2, 39]], [[-2, 33]], [[-2, 9]], [[-2, 1]], [[2, 31]], [[2, 39]], [[-2, 27]], [[-2, 11]], [[2, 29]], [[-2, 21]], [[-2, 17]], [[2, 17]], [[2, 27]], [[2, 13]], [[2, 11]], [[2, 21]], [[-2, 19]], [[-2, 37]], [[2, 3]], [[2, 23]], [[-2, 7]], [[-1, 6]], [[1, 14]], [[-1, 18]], [[1, 2]], [[-1, 2]], [[-1, 34]], [[1, 18]], [[-1, 38]], [[-1, 14]], [[1, 26]], [[1, 6]], [[-1, 22]], [[1, 22]], [[1, 34]], [[1, 38]], [[-1, 26]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 9]], [[-1, 33]], [[-1, 21]], [[-1, 3]], [[1, 31]], [[1, 3]], [[1, 11]], [[1, 29]], [[1, 19]], [[-1, 11]], [[1, 23]], [[1, 1]], [[1, 27]], [[1, 13]], [[-1, 9]], [[1, 7]], [[-1, 23]], [[-1, 1]], [[-1, 29]], [[-1, 19]], [[-1, 13]], [[-1, 7]], [[-1, 31]], [[1, 17]], [[-1, 17]], [[-1, 39]], [[-1, 27]], [[1, 21]], [[1, 39]], [[1, 37]], [[-1, 37]], [[1, 33]]]}
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id: 7289633
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id: 7289634
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id: 7289636
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id: 7289637
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id: 7289638
{'center': '6.a1.a1', 'center_index': 6, 'center_order': 80, 'counter': 232, 'cyclotomic_n': 80, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '480.1', 'group_counter': 1, 'group_order': 480, 'image': None, 'image_isoclass': '480.1', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.a1', 'kernel_order': 1, 'label': '480.1.2j24', 'nt': [480, 32], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-1, 0]], [[2, 20]], [[-2, 20]], [[2, 16]], [[-2, 24]], [[2, 32]], [[-2, 8]], [[1, 0]], [[-2, 30]], [[2, 30]], [[2, 10]], [[-2, 10]], [[2, 8]], [[-2, 32]], [[2, 24]], [[-2, 16]], [[-1, 20]], [[1, 20]], [[-1, 16]], [[1, 24]], [[-1, 32]], [[1, 8]], [[2, 15]], [[2, 25]], [[-2, 35]], [[-2, 15]], [[2, 5]], [[-2, 25]], [[2, 35]], [[-2, 5]], [[-2, 4]], [[2, 28]], [[2, 12]], [[-2, 28]], [[-2, 12]], [[-2, 36]], [[2, 4]], [[2, 36]], [[-1, 10]], [[1, 30]], [[1, 10]], [[-1, 30]], [[-1, 8]], [[1, 32]], [[1, 16]], [[-1, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 22]], [[2, 14]], [[2, 18]], [[2, 38]], [[-2, 6]], [[2, 34]], [[-2, 2]], [[2, 22]], [[-2, 18]], [[2, 26]], [[-2, 38]], [[-2, 14]], [[2, 6]], [[-2, 26]], [[-2, 34]], [[-1, 15]], [[-1, 35]], [[1, 25]], [[1, 15]], [[1, 35]], [[-1, 5]], [[-1, 25]], [[1, 5]], [[-1, 36]], [[1, 36]], [[-1, 4]], [[1, 4]], [[-1, 12]], [[-1, 28]], [[1, 28]], [[1, 12]], [[-2, 17]], [[2, 39]], [[-2, 37]], [[-2, 19]], [[-2, 11]], [[-2, 7]], [[-2, 13]], [[-2, 29]], [[-2, 1]], [[2, 9]], [[2, 3]], [[2, 27]], [[2, 29]], [[2, 37]], [[2, 13]], [[-2, 3]], [[-2, 27]], [[2, 31]], [[-2, 23]], [[2, 17]], [[2, 33]], [[-2, 21]], [[2, 21]], [[-2, 31]], [[-2, 9]], [[2, 23]], [[-2, 33]], [[2, 7]], [[2, 1]], [[-2, 39]], [[2, 19]], [[2, 11]], [[1, 38]], [[1, 22]], [[1, 34]], [[1, 26]], [[-1, 26]], [[1, 2]], [[-1, 34]], [[-1, 14]], [[-1, 22]], [[1, 18]], [[-1, 38]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 14]], [[-1, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 37]], [[1, 29]], [[1, 33]], [[1, 39]], [[-1, 3]], [[-1, 39]], [[1, 23]], [[1, 17]], [[-1, 7]], [[-1, 23]], [[1, 19]], [[-1, 13]], [[-1, 31]], [[-1, 9]], [[1, 37]], [[-1, 11]], [[-1, 19]], [[1, 13]], [[-1, 17]], [[1, 7]], [[1, 9]], [[1, 11]], [[1, 3]], [[1, 21]], [[-1, 21]], [[1, 27]], [[1, 31]], [[-1, 33]], [[-1, 27]], [[-1, 1]], [[1, 1]], [[-1, 29]]]}
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id: 7289639
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id: 7289640
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id: 7289641
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id: 7289642
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id: 7289643
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id: 7289615
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id: 7289644
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id: 7289645
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id: 7289647
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id: 7289616
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id: 7289617
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-
id: 7289618
{'center': '6.a1.a1', 'center_index': 6, 'center_order': 80, 'counter': 214, 'cyclotomic_n': 80, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '480.1', 'group_counter': 1, 'group_order': 480, 'image': None, 'image_isoclass': '480.1', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.a1', 'kernel_order': 1, 'label': '480.1.2j6', 'nt': [480, 32], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-1, 0]], [[2, 20]], [[-2, 20]], [[2, 32]], [[-2, 8]], [[-2, 24]], [[2, 16]], [[1, 0]], [[-2, 30]], [[2, 30]], [[2, 10]], [[-2, 10]], [[-2, 16]], [[2, 24]], [[2, 8]], [[-2, 32]], [[-1, 20]], [[1, 20]], [[-1, 32]], [[1, 8]], [[1, 24]], [[-1, 16]], [[-2, 15]], [[-2, 25]], [[2, 35]], [[2, 15]], [[-2, 5]], [[2, 25]], [[-2, 35]], [[2, 5]], [[2, 28]], [[-2, 36]], [[-2, 4]], [[2, 36]], [[2, 4]], [[2, 12]], [[-2, 28]], [[-2, 12]], [[-1, 10]], [[1, 30]], [[1, 10]], [[-1, 30]], [[1, 16]], [[-1, 24]], [[1, 32]], [[-1, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 34]], [[2, 14]], [[-2, 38]], [[-2, 26]], [[2, 6]], [[-2, 22]], [[2, 18]], [[-2, 34]], [[-2, 14]], [[2, 26]], [[-2, 2]], [[-2, 6]], [[2, 38]], [[2, 22]], [[2, 2]], [[-2, 18]], [[1, 15]], [[1, 35]], [[-1, 25]], [[-1, 15]], [[-1, 35]], [[1, 5]], [[1, 25]], [[-1, 5]], [[1, 12]], [[-1, 12]], [[1, 28]], [[-1, 28]], [[1, 4]], [[1, 36]], [[-1, 36]], [[-1, 4]], [[-2, 9]], [[-2, 23]], [[-2, 29]], [[2, 3]], [[2, 27]], [[2, 39]], [[-2, 21]], [[2, 13]], [[2, 17]], [[2, 33]], [[2, 11]], [[2, 19]], [[-2, 13]], [[2, 29]], [[2, 21]], [[-2, 11]], [[-2, 19]], [[2, 7]], [[-2, 31]], [[2, 9]], [[-2, 1]], [[2, 37]], [[-2, 37]], [[-2, 7]], [[-2, 33]], [[2, 31]], [[2, 1]], [[-2, 39]], [[-2, 17]], [[2, 23]], [[-2, 3]], [[-2, 27]], [[1, 6]], [[-1, 14]], [[1, 18]], [[-1, 2]], [[1, 2]], [[1, 34]], [[-1, 18]], [[1, 38]], [[1, 14]], [[-1, 26]], [[-1, 6]], [[1, 22]], [[-1, 22]], [[-1, 34]], [[-1, 38]], [[1, 26]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 29]], [[-1, 13]], [[-1, 1]], [[-1, 23]], [[-1, 11]], [[1, 23]], [[1, 31]], [[1, 9]], [[1, 39]], [[-1, 31]], [[-1, 3]], [[-1, 21]], [[-1, 7]], [[-1, 33]], [[1, 29]], [[1, 27]], [[1, 3]], [[1, 21]], [[-1, 9]], [[-1, 39]], [[1, 33]], [[-1, 27]], [[1, 11]], [[-1, 37]], [[1, 37]], [[1, 19]], [[1, 7]], [[1, 1]], [[-1, 19]], [[1, 17]], [[-1, 17]], [[1, 13]]]}
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id: 7289619
{'center': '6.a1.a1', 'center_index': 6, 'center_order': 80, 'counter': 215, 'cyclotomic_n': 80, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '480.1', 'group_counter': 1, 'group_order': 480, 'image': None, 'image_isoclass': '480.1', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.a1', 'kernel_order': 1, 'label': '480.1.2j7', 'nt': [480, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-1, 0]], [[-2, 20]], [[2, 20]], [[-2, 8]], [[2, 32]], [[2, 16]], [[-2, 24]], [[1, 0]], [[2, 10]], [[-2, 10]], [[-2, 30]], [[2, 30]], [[2, 24]], [[-2, 16]], [[-2, 32]], [[2, 8]], [[1, 20]], [[-1, 20]], [[1, 8]], [[-1, 32]], [[-1, 16]], [[1, 24]], [[-2, 25]], [[-2, 15]], [[2, 5]], [[2, 25]], [[-2, 35]], [[2, 15]], [[-2, 5]], [[2, 35]], [[-2, 12]], [[2, 4]], [[2, 36]], [[-2, 4]], [[-2, 36]], [[-2, 28]], [[2, 12]], [[2, 28]], [[1, 30]], [[-1, 10]], [[-1, 30]], [[1, 10]], [[-1, 24]], [[1, 16]], [[-1, 8]], [[1, 32]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, 26]], [[2, 2]], [[2, 14]], [[-2, 34]], [[2, 18]], [[-2, 22]], [[2, 6]], [[2, 26]], [[-2, 14]], [[2, 38]], [[2, 34]], [[-2, 2]], [[-2, 18]], [[-2, 38]], [[2, 22]], [[1, 25]], [[1, 5]], [[-1, 15]], [[-1, 25]], [[-1, 5]], [[1, 35]], [[1, 15]], [[-1, 35]], [[-1, 28]], [[1, 28]], [[-1, 12]], [[1, 12]], [[-1, 36]], [[-1, 4]], [[1, 4]], [[1, 36]], [[-2, 31]], [[-2, 17]], [[-2, 11]], [[2, 37]], [[2, 13]], [[2, 1]], [[-2, 19]], [[2, 27]], [[2, 23]], [[2, 7]], [[2, 29]], [[2, 21]], [[-2, 27]], [[2, 11]], [[2, 19]], [[-2, 29]], [[-2, 21]], [[2, 33]], [[-2, 9]], [[2, 31]], [[-2, 39]], [[2, 3]], [[-2, 3]], [[-2, 33]], [[-2, 7]], [[2, 9]], [[2, 39]], [[-2, 1]], [[-2, 23]], [[2, 17]], [[-2, 37]], [[-2, 13]], [[-1, 34]], [[1, 26]], [[-1, 22]], [[1, 38]], [[-1, 38]], [[-1, 6]], [[1, 22]], [[-1, 2]], [[-1, 26]], [[1, 14]], [[1, 34]], [[-1, 18]], [[1, 18]], [[1, 6]], [[1, 2]], [[-1, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 11]], [[-1, 27]], [[-1, 39]], [[-1, 17]], [[-1, 29]], [[1, 17]], [[1, 9]], [[1, 31]], [[1, 1]], [[-1, 9]], [[-1, 37]], [[-1, 19]], [[-1, 33]], [[-1, 7]], [[1, 11]], [[1, 13]], [[1, 37]], [[1, 19]], [[-1, 31]], [[-1, 1]], [[1, 7]], [[-1, 13]], [[1, 29]], [[-1, 3]], [[1, 3]], [[1, 21]], [[1, 33]], [[1, 39]], [[-1, 21]], [[1, 23]], [[-1, 23]], [[1, 27]]]}
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id: 7289620
{'center': '6.a1.a1', 'center_index': 6, 'center_order': 80, 'counter': 216, 'cyclotomic_n': 80, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '480.1', 'group_counter': 1, 'group_order': 480, 'image': None, 'image_isoclass': '480.1', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.a1', 'kernel_order': 1, 'label': '480.1.2j8', 'nt': [480, 32], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-1, 0]], [[2, 20]], [[-2, 20]], [[2, 32]], [[-2, 8]], [[-2, 24]], [[2, 16]], [[1, 0]], [[-2, 30]], [[2, 30]], [[2, 10]], [[-2, 10]], [[-2, 16]], [[2, 24]], [[2, 8]], [[-2, 32]], [[-1, 20]], [[1, 20]], [[-1, 32]], [[1, 8]], [[1, 24]], [[-1, 16]], [[2, 15]], [[2, 25]], [[-2, 35]], [[-2, 15]], [[2, 5]], [[-2, 25]], [[2, 35]], [[-2, 5]], [[2, 28]], [[-2, 36]], [[-2, 4]], [[2, 36]], [[2, 4]], [[2, 12]], [[-2, 28]], [[-2, 12]], [[-1, 10]], [[1, 30]], [[1, 10]], [[-1, 30]], [[1, 16]], [[-1, 24]], [[1, 32]], [[-1, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 34]], [[2, 14]], [[-2, 38]], [[-2, 26]], [[2, 6]], [[-2, 22]], [[2, 18]], [[-2, 34]], [[-2, 14]], [[2, 26]], [[-2, 2]], [[-2, 6]], [[2, 38]], [[2, 22]], [[2, 2]], [[-2, 18]], [[-1, 15]], [[-1, 35]], [[1, 25]], [[1, 15]], [[1, 35]], [[-1, 5]], [[-1, 25]], [[1, 5]], [[1, 12]], [[-1, 12]], [[1, 28]], [[-1, 28]], [[1, 4]], [[1, 36]], [[-1, 36]], [[-1, 4]], [[2, 9]], [[2, 23]], [[2, 29]], [[-2, 3]], [[-2, 27]], [[-2, 39]], [[2, 21]], [[-2, 13]], [[-2, 17]], [[-2, 33]], [[-2, 11]], [[-2, 19]], [[2, 13]], [[-2, 29]], [[-2, 21]], [[2, 11]], [[2, 19]], [[-2, 7]], [[2, 31]], [[-2, 9]], [[2, 1]], [[-2, 37]], [[2, 37]], [[2, 7]], [[2, 33]], [[-2, 31]], [[-2, 1]], [[2, 39]], [[2, 17]], [[-2, 23]], [[2, 3]], [[2, 27]], [[1, 6]], [[-1, 14]], [[1, 18]], [[-1, 2]], [[1, 2]], [[1, 34]], [[-1, 18]], [[1, 38]], [[1, 14]], [[-1, 26]], [[-1, 6]], [[1, 22]], [[-1, 22]], [[-1, 34]], [[-1, 38]], [[1, 26]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 29]], [[1, 13]], [[1, 1]], [[1, 23]], [[1, 11]], [[-1, 23]], [[-1, 31]], [[-1, 9]], [[-1, 39]], [[1, 31]], [[1, 3]], [[1, 21]], [[1, 7]], [[1, 33]], [[-1, 29]], [[-1, 27]], [[-1, 3]], [[-1, 21]], [[1, 9]], [[1, 39]], [[-1, 33]], [[1, 27]], [[-1, 11]], [[1, 37]], [[-1, 37]], [[-1, 19]], [[-1, 7]], [[-1, 1]], [[1, 19]], [[-1, 17]], [[1, 17]], [[-1, 13]]]}
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id: 7289621
{'center': '6.a1.a1', 'center_index': 6, 'center_order': 80, 'counter': 217, 'cyclotomic_n': 80, 'dim': 2, 'faithful': True, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '480.1', 'group_counter': 1, 'group_order': 480, 'image': None, 'image_isoclass': '480.1', 'image_order': 480, 'indicator': 0, 'kernel': '480.a1.a1', 'kernel_order': 1, 'label': '480.1.2j9', 'nt': [480, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-1, 0]], [[-2, 20]], [[2, 20]], [[2, 32]], [[-2, 8]], [[-2, 24]], [[2, 16]], [[1, 0]], [[-2, 10]], [[2, 10]], [[2, 30]], [[-2, 30]], [[-2, 16]], [[2, 24]], [[2, 8]], [[-2, 32]], [[1, 20]], [[-1, 20]], [[-1, 32]], [[1, 8]], [[1, 24]], [[-1, 16]], [[-2, 5]], [[-2, 35]], [[-2, 25]], [[2, 5]], [[2, 15]], [[2, 35]], [[2, 25]], [[-2, 15]], [[-2, 28]], [[2, 36]], [[2, 4]], [[-2, 36]], [[-2, 4]], [[-2, 12]], [[2, 28]], [[2, 12]], [[-1, 30]], [[1, 10]], [[1, 30]], [[-1, 10]], [[1, 16]], [[-1, 24]], [[1, 32]], [[-1, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 14]], [[-2, 34]], [[-2, 18]], [[2, 6]], [[-2, 26]], [[-2, 2]], [[2, 38]], [[2, 14]], [[2, 34]], [[-2, 6]], [[-2, 22]], [[2, 26]], [[2, 18]], [[2, 2]], [[2, 22]], [[-2, 38]], [[1, 5]], [[-1, 25]], [[-1, 35]], [[-1, 5]], [[1, 25]], [[-1, 15]], [[1, 35]], [[1, 15]], [[-1, 12]], [[1, 12]], [[-1, 28]], [[1, 28]], [[-1, 4]], [[-1, 36]], [[1, 36]], [[1, 4]], [[-2, 19]], [[-2, 13]], [[2, 39]], [[2, 33]], [[-2, 17]], [[2, 29]], [[2, 31]], [[-2, 23]], [[2, 27]], [[-2, 3]], [[-2, 1]], [[-2, 9]], [[2, 23]], [[-2, 39]], [[-2, 31]], [[2, 1]], [[2, 9]], [[-2, 37]], [[-2, 21]], [[2, 19]], [[-2, 11]], [[2, 7]], [[-2, 7]], [[2, 37]], [[2, 3]], [[2, 21]], [[2, 11]], [[-2, 29]], [[-2, 27]], [[2, 13]], [[-2, 33]], [[2, 17]], [[-1, 26]], [[1, 34]], [[1, 38]], [[-1, 22]], [[1, 22]], [[-1, 14]], [[-1, 38]], [[1, 18]], [[-1, 34]], [[1, 6]], [[1, 26]], [[1, 2]], [[-1, 2]], [[1, 14]], [[-1, 18]], [[-1, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 39]], [[1, 23]], [[-1, 11]], [[-1, 13]], [[1, 1]], [[1, 13]], [[1, 21]], [[1, 19]], [[1, 29]], [[-1, 21]], [[-1, 33]], [[1, 31]], [[1, 37]], [[1, 3]], [[-1, 39]], [[-1, 17]], [[1, 33]], [[-1, 31]], [[-1, 19]], [[-1, 29]], [[-1, 3]], [[1, 17]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[-1, 9]], [[-1, 37]], [[1, 11]], [[1, 9]], [[1, 27]], [[-1, 27]], [[-1, 23]]]}
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gps_subgroup_search • Show schema
Hide schema
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id: 66929876
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '480.1', 'ambient_counter': 1, 'ambient_order': 480, 'ambient_tex': 'C_3:C_{160}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': True, 'core_order': 480, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 30, 'label': '480.1.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '480.1', 'subgroup_hash': 1, 'subgroup_order': 480, 'subgroup_tex': 'C_3:C_{160}', 'supersolvable': True, 'sylow': 0}
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id: 66929887
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.1', 'ambient_counter': 1, 'ambient_order': 480, 'ambient_tex': 'C_3:C_{160}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 240, 'counter': 2, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.1.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F', 'C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.4', 'subgroup_hash': 4, 'subgroup_order': 240, 'subgroup_tex': 'C_{240}', 'supersolvable': True, 'sylow': 0}
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id: 66929893
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.1', 'ambient_counter': 1, 'ambient_order': 480, 'ambient_tex': 'C_3:C_{160}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 80, 'counter': 3, 'cyclic': True, 'direct': None, 'hall': 10, 'label': '480.1.3.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.2', 'subgroup_hash': 2, 'subgroup_order': 160, 'subgroup_tex': 'C_{160}', 'supersolvable': True, 'sylow': 0}
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id: 66929894
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.1', 'ambient_counter': 1, 'ambient_order': 480, 'ambient_tex': 'C_3:C_{160}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 120, 'counter': 4, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.1.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.4', 'subgroup_hash': 4, 'subgroup_order': 120, 'subgroup_tex': 'C_{120}', 'supersolvable': True, 'sylow': 0}
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id: 66929895
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '480.1', 'ambient_counter': 1, 'ambient_order': 480, 'ambient_tex': 'C_3:C_{160}', 'central': False, 'central_factor': True, 'centralizer_order': 80, 'characteristic': True, 'core_order': 96, 'counter': 5, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '480.1.5.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.1', 'subgroup_hash': 1, 'subgroup_order': 96, 'subgroup_tex': 'C_3:C_{32}', 'supersolvable': True, 'sylow': 0}
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id: 66929896
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.1', 'ambient_counter': 1, 'ambient_order': 480, 'ambient_tex': 'C_3:C_{160}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 80, 'counter': 6, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.1.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.2', 'subgroup_hash': 2, 'subgroup_order': 80, 'subgroup_tex': 'C_{80}', 'supersolvable': True, 'sylow': 0}
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id: 66929897
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.1', 'ambient_counter': 1, 'ambient_order': 480, 'ambient_tex': 'C_3:C_{160}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 60, 'counter': 7, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.1.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
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id: 66929898
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.1', 'ambient_counter': 1, 'ambient_order': 480, 'ambient_tex': 'C_3:C_{160}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 48, 'counter': 8, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.1.10.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
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id: 66929899
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.1', 'ambient_counter': 1, 'ambient_order': 480, 'ambient_tex': 'C_3:C_{160}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 40, 'counter': 9, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.1.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.2', 'subgroup_hash': 2, 'subgroup_order': 40, 'subgroup_tex': 'C_{40}', 'supersolvable': True, 'sylow': 0}
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id: 66929877
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.1', 'ambient_counter': 1, 'ambient_order': 480, 'ambient_tex': 'C_3:C_{160}', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 16, 'counter': 10, 'cyclic': True, 'direct': None, 'hall': 2, 'label': '480.1.15.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '15.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 15, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.1', 'subgroup_hash': 1, 'subgroup_order': 32, 'subgroup_tex': 'C_{32}', 'supersolvable': True, 'sylow': 2}
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id: 66929878
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.1', 'ambient_counter': 1, 'ambient_order': 480, 'ambient_tex': 'C_3:C_{160}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 30, 'counter': 11, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.1.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{16}', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
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id: 66929879
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.1', 'ambient_counter': 1, 'ambient_order': 480, 'ambient_tex': 'C_3:C_{160}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 24, 'counter': 12, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.1.20.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 66929880
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.1', 'ambient_counter': 1, 'ambient_order': 480, 'ambient_tex': 'C_3:C_{160}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 20, 'counter': 13, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.1.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:C_8', '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}
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id: 66929881
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.1', 'ambient_counter': 1, 'ambient_order': 480, 'ambient_tex': 'C_3:C_{160}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 16, 'counter': 14, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.1.30.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '30.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '30.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times S_3', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
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id: 66929882
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.1', 'ambient_counter': 1, 'ambient_order': 480, 'ambient_tex': 'C_3:C_{160}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 15, 'counter': 15, 'cyclic': True, 'direct': False, 'hall': 15, 'label': '480.1.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{32}', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
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id: 66929883
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.1', 'ambient_counter': 1, 'ambient_order': 480, 'ambient_tex': 'C_3:C_{160}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 12, 'counter': 16, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.1.40.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{40}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 66929884
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.1', 'ambient_counter': 1, 'ambient_order': 480, 'ambient_tex': 'C_3:C_{160}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 10, 'counter': 17, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.1.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:C_{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}
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id: 66929885
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.1', 'ambient_counter': 1, 'ambient_order': 480, 'ambient_tex': 'C_3:C_{160}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 8, 'counter': 18, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.1.60.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
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id: 66929886
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.1', 'ambient_counter': 1, 'ambient_order': 480, 'ambient_tex': 'C_3:C_{160}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 6, 'counter': 19, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.1.80.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{80}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
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id: 66929888
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.1', 'ambient_counter': 1, 'ambient_order': 480, 'ambient_tex': 'C_3:C_{160}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 5, 'counter': 20, 'cyclic': True, 'direct': True, 'hall': 5, 'label': '480.1.96.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '96.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:C_{32}', 'simple': True, 'solvable': True, 'special_labels': ['C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
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id: 66929889
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.1', 'ambient_counter': 1, 'ambient_order': 480, 'ambient_tex': 'C_3:C_{160}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 4, 'counter': 21, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.1.120.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:C_{40}', '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: 66929890
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.1', 'ambient_counter': 1, 'ambient_order': 480, 'ambient_tex': 'C_3:C_{160}', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 3, 'counter': 22, 'cyclic': True, 'direct': False, 'hall': 3, 'label': '480.1.160.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '160.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '160.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{160}', 'simple': True, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
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id: 66929891
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.1', 'ambient_counter': 1, 'ambient_order': 480, 'ambient_tex': 'C_3:C_{160}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 2, 'counter': 23, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '480.1.240.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '240.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '240.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:C_{80}', '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: 66929892
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '480.1', 'ambient_counter': 1, 'ambient_order': 480, 'ambient_tex': 'C_3:C_{160}', 'central': True, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 1, 'counter': 24, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '480.1.480.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '480.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '480.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:C_{160}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', 'D2', 'C7'], '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
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id: 66929876
{'ambient': '480.1', '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': '6.a1.a1', 'complements': ['480.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '3.a1.a1', '5.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8400, 8753, 6848, 1923, 6610, 7578, 6610, 7578], 'generators': [1, 16, 2, 4, 96, 320, 8], 'label': '480.1.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '5.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '6.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
-
id: 66929877
{'ambient': '480.1', 'aut_centralizer_order': 8, 'aut_label': '15.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.5', 'aut_weyl_index': 24, 'centralizer': '3.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '5.a1.a1'], 'contains': ['30.a1.a1'], 'core': '30.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9310, -1, 9557, -1, 8920, -1, 8920, -1], 'generators': [1], 'label': '480.1.15.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '15.a1.a1', 'projective_image': '30.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 66929878
{'ambient': '480.1', 'aut_centralizer_order': 48, 'aut_label': '16.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 48, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1'], 'contains': ['32.a1.a1', '48.a1.a1', '80.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2138, 2356, 1970, 7135, 1433, 1553, 1433, 1553], 'generators': [16, 96, 320], 'label': '480.1.16.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.a1.a1', '48.a1.a1', '80.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '48.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 66929879
{'ambient': '480.1', 'aut_centralizer_order': 48, 'aut_label': '20.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 48, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '10.a1.a1'], 'contains': ['40.a1.a1', '60.a1.a1'], 'core': '20.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5859, 6671, 6010, 3368, 6054, 6559, 6054, 6559], 'generators': [4, 320, 8, 16], 'label': '480.1.20.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': ['4.a1.a1', '10.a1.a1'], 'normal_contains': ['40.a1.a1', '60.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.a1.a1', 'projective_image': '60.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 66929880
{'ambient': '480.1', 'aut_centralizer_order': 48, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 48, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1'], 'contains': ['48.a1.a1', '120.a1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4360, 3602, 4449, 4953, 3316, 3592, 3316, 3592], 'generators': [8, 16, 96], 'label': '480.1.24.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1'], 'normal_contains': ['48.a1.a1', '120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '24.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.1', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 66929881
{'ambient': '480.1', 'aut_centralizer_order': 48, 'aut_label': '30.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 48, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '10.a1.a1', '15.a1.a1'], 'contains': ['60.a1.a1'], 'core': '30.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8098, 7629, 8308, 1390, 7936, 8598, 7936, 8598], 'generators': [2], 'label': '480.1.30.a1.a1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '30.a1.a1', 'normal_contained_in': ['6.a1.a1', '10.a1.a1'], 'normal_contains': ['60.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '30.a1.a1', 'projective_image': '30.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '30.1', 'quotient_action_kernel_order': 30, 'quotient_fusion': None, 'short_label': '30.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 66929882
{'ambient': '480.1', 'aut_centralizer_order': 48, 'aut_label': '32.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 48, 'centralizer': '2.a1.a1', 'complements': ['15.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1'], 'contains': ['96.a1.a1', '160.a1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [959, 1109, 820, 8422, 749, 811, 749, 811], 'generators': [320, 96], 'label': '480.1.32.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['96.a1.a1', '160.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '96.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.1', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 66929883
{'ambient': '480.1', 'aut_centralizer_order': 96, 'aut_label': '40.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 96, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '20.a1.a1'], 'contains': ['80.a1.a1', '120.a1.a1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4579, 4757, 4499, 5047, 5198, 5631, 5198, 5631], 'generators': [8, 320, 16], 'label': '480.1.40.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': ['8.a1.a1', '20.a1.a1'], 'normal_contains': ['80.a1.a1', '120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.a1.a1', 'projective_image': '120.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 66929884
{'ambient': '480.1', 'aut_centralizer_order': 96, 'aut_label': '48.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 96, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1'], 'contains': ['96.a1.a1', '240.a1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3081, 2067, 2890, 6241, 2631, 2850, 2631, 2850], 'generators': [16, 96], 'label': '480.1.48.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.a1.a1'], 'normal_contains': ['96.a1.a1', '240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': '48.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.1', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 66929885
{'ambient': '480.1', 'aut_centralizer_order': 96, 'aut_label': '60.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 96, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '20.a1.a1', '30.a1.a1'], 'contains': ['120.a1.a1'], 'core': '60.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6768, 6247, 6831, 2928, 6909, 7485, 6909, 7485], 'generators': [4], 'label': '480.1.60.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '60.a1.a1', 'normal_contained_in': ['12.a1.a1', '20.a1.a1', '30.a1.a1'], 'normal_contains': ['120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.a1.a1', 'projective_image': '60.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '60.1', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '60.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 66929886
{'ambient': '480.1', 'aut_centralizer_order': 192, 'aut_label': '80.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 192, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '40.a1.a1'], 'contains': ['160.a1.a1', '240.a1.a1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2340, 3313, 3382, 6962, 4342, 4704, 4342, 4704], 'generators': [16, 320], 'label': '480.1.80.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '80.a1.a1', 'normal_contained_in': ['16.a1.a1', '40.a1.a1'], 'normal_contains': ['160.a1.a1', '240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '80.a1.a1', 'projective_image': '240.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '40.2', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '80.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 66929887
{'ambient': '480.1', 'aut_centralizer_order': 6, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.192', 'aut_weyl_index': 6, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '6.a1.a1', '10.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6364, 7903, 5666, 2582, 4535, 6327, 4535, 6327], 'generators': [2, 16, 96, 4, 320, 8], 'label': '480.1.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '6.a1.a1', '10.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '6.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 66929888
{'ambient': '480.1', 'aut_centralizer_order': 96, 'aut_label': '96.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 96, 'centralizer': '1.a1.a1', 'complements': ['5.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.a1.a1'], 'contains': ['480.a1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [454, 411, 443, 9207, 1262, 1367, 1262, 1367], 'generators': [96], 'label': '480.1.96.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '96.a1.a1', 'normal_contained_in': ['32.a1.a1', '48.a1.a1'], 'normal_contains': ['480.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.a1.a1', 'projective_image': '96.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.1', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 66929889
{'ambient': '480.1', 'aut_centralizer_order': 192, 'aut_label': '120.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 192, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '40.a1.a1', '60.a1.a1'], 'contains': ['240.a1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5101, 4711, 5386, 4357, 5882, 6373, 5882, 6373], 'generators': [8], 'label': '480.1.120.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.a1.a1', 'normal_contained_in': ['24.a1.a1', '40.a1.a1', '60.a1.a1'], 'normal_contains': ['240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.a1.a1', 'projective_image': '120.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '120.1', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '120.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 66929890
{'ambient': '480.1', 'aut_centralizer_order': 192, 'aut_label': '160.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 192, 'centralizer': '2.a1.a1', 'complements': ['3.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '80.a1.a1'], 'contains': ['480.a1.a1'], 'core': '160.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1717, 1413, 2414, 7794, 2802, 3036, 2802, 3036], 'generators': [320], 'label': '480.1.160.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '160.a1.a1', 'normal_contained_in': ['32.a1.a1', '80.a1.a1'], 'normal_contains': ['480.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '160.a1.a1', 'projective_image': '480.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '80.2', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '160.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 66929891
{'ambient': '480.1', 'aut_centralizer_order': 384, 'aut_label': '240.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 384, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '80.a1.a1', '120.a1.a1'], 'contains': ['480.a1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2677, 2842, 3694, 6900, 4342, 4704, 4342, 4704], 'generators': [16], 'label': '480.1.240.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '240.a1.a1', 'normal_contained_in': ['48.a1.a1', '80.a1.a1', '120.a1.a1'], 'normal_contains': ['480.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '240.a1.a1', 'projective_image': '240.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '240.1', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '240.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 66929892
{'ambient': '480.1', 'aut_centralizer_order': None, 'aut_label': '480.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['96.a1.a1', '160.a1.a1', '240.a1.a1'], 'contains': [], 'core': '480.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1717, 1413, 2414, 7794, 2802, 3036, 2802, 3036], 'generators': [], 'label': '480.1.480.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '480.a1.a1', 'normal_contained_in': ['96.a1.a1', '160.a1.a1', '240.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '480.a1.a1', 'projective_image': '480.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 66929893
{'ambient': '480.1', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.83', 'aut_weyl_index': 6, 'centralizer': '3.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '15.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9546, -1, 7963, -1, 6610, -1, 6610, -1], 'generators': [1, 16, 2, 4, 96, 8], 'label': '480.1.3.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '6.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 66929894
{'ambient': '480.1', 'aut_centralizer_order': 12, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.45', 'aut_weyl_index': 12, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '12.a1.a1', '20.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4832, 6367, 4417, 4498, 3166, 4403, 3166, 4403], 'generators': [4, 96, 8, 320, 16], 'label': '480.1.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '12.a1.a1', '20.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '12.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 66929895
{'ambient': '480.1', 'aut_centralizer_order': 4, 'aut_label': '5.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.106', 'aut_weyl_index': 4, 'centralizer': '6.a1.a1', 'complements': ['96.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['10.a1.a1', '15.a1.a1'], 'core': '5.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8653, 9589, 8538, 793, 8920, 8830, 8920, 8830], 'generators': [1, 320, 16, 2, 4, 8], 'label': '480.1.5.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '5.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['10.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '5.a1.a1', 'projective_image': '30.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '5.a1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
-
id: 66929896
{'ambient': '480.1', 'aut_centralizer_order': 12, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.21', 'aut_weyl_index': 12, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '30.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7206, 7432, 6864, 3022, 5155, 6559, 5155, 6559], 'generators': [2, 4, 8, 96, 16], 'label': '480.1.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['12.a1.a1', '30.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '6.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '6.1', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 66929897
{'ambient': '480.1', 'aut_centralizer_order': 24, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 24, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.a1.a1', '24.a1.a1', '40.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3502, 4088, 3219, 5942, 2289, 2480, 2289, 2480], 'generators': [8, 96, 16, 320], 'label': '480.1.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '24.a1.a1', '40.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '24.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 66929898
{'ambient': '480.1', 'aut_centralizer_order': 24, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 24, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '30.a1.a1'], 'core': '10.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7138, 8692, 7488, 1139, 7037, 8598, 7037, 8598], 'generators': [2, 16, 320, 4, 8], 'label': '480.1.10.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.a1.a1', 'normal_contained_in': ['2.a1.a1', '5.a1.a1'], 'normal_contains': ['20.a1.a1', '30.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.a1.a1', 'projective_image': '30.1', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 66929899
{'ambient': '480.1', 'aut_centralizer_order': 24, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 24, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1'], 'contains': ['24.a1.a1', '60.a1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5825, 5516, 5928, 3775, 4171, 4519, 4171, 4519], 'generators': [4, 8, 16, 96], 'label': '480.1.12.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '60.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '12.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.1', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}