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gps_groups • Show schema
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{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '56.8', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 420, 'aut_gen_orders': [12, 12, 12, 12, 6, 6], 'aut_gens': [[1, 28], [1663, 84], [505, 1876], [303, 1498], [1391, 1498], [59, 1092], [193, 1946]], 'aut_group': None, 'aut_hash': 2551021293722961101, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 40320, 'aut_permdeg': 146, 'aut_perms': [21957558968439685838635393160959481367886539192178401908525648012273022007719511874415746634185579221986828393493049371097760785342130850817934676239451285071512813302109321680045251860746439286024774704405482410337740004654816733765424939397834677341339, 91076735645977003943335147251070056771275824135444493110242904299460867164751188903986801183375350188352491295113433942200550810671501560567647875987400234601910700467905027653915273953716934166994540506324831789429470457805065911190265773906124414012105, 83778746177093708807996799088700785856239493043066541006190161630101916520944877356771209705553290145169472479673949622203570332800168068321412025453595037649451018979677819582976083558600773362321197050350259912426522648120394483919029766305296524215853, 98086329520392360460766704645251084846305614180965639947968569934556646490331489926913442789819621561436414844209138474786503682395409413444541037323294323781076066501767745159662680515998863116237876603751543667313487851614379147558886505166376543847983, 4739720454754799349720668206841360282685265664371779414917342285924312463124228027298702895543291576958134086918157612087401463886517932421889622996350020128355906484147821563476885718096243356639183676724390940262041401343003587713417250842411030299169, 40282110608240588504233194873101250238768840162556344741834343013095007181084459101259930982511723558235910727394126816214316824970380355577973395848956818330652251240818377389008236359957920431139008708634545446668286220741097802010355040177134474407319], 'aut_phi_ratio': 60.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [4, 35, 4, 1], [5, 2, 2, 1], [7, 1, 6, 1], [7, 2, 3, 1], [7, 2, 18, 1], [10, 2, 2, 1], [10, 2, 4, 1], [14, 1, 6, 1], [14, 1, 12, 1], [14, 2, 3, 1], [14, 2, 6, 1], [14, 2, 18, 1], [14, 2, 36, 1], [28, 35, 24, 1], [35, 2, 12, 2], [35, 2, 72, 1], [70, 2, 12, 2], [70, 2, 24, 2], [70, 2, 72, 1], [70, 2, 144, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{210}.C_6.C_2^5', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 12, 'autcent_group': '48.45', 'autcent_hash': 45, 'autcent_nilpotent': True, 'autcent_order': 48, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_6\\times D_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 420, 'autcentquo_group': '840.139', 'autcentquo_hash': 139, 'autcentquo_nilpotent': False, 'autcentquo_order': 840, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_5\\times F_7', 'cc_stats': [[1, 1, 1], [2, 1, 3], [4, 35, 4], [5, 2, 2], [7, 1, 6], [7, 2, 21], [10, 2, 6], [14, 1, 18], [14, 2, 63], [28, 35, 24], [35, 2, 96], [70, 2, 288]], 'center_label': '28.4', 'center_order': 28, 'central_product': True, 'central_quotient': '70.3', 'commutator_count': 1, 'commutator_label': '35.1', 'complements_known': True, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '5.1', '7.1', '7.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 102, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['140.3', 1], ['2.1', 1], ['7.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [4, 35, 2, 2], [5, 2, 2, 1], [7, 1, 6, 1], [7, 2, 3, 1], [7, 2, 6, 3], [10, 2, 2, 3], [14, 1, 6, 3], [14, 2, 3, 3], [14, 2, 6, 9], [28, 35, 12, 2], [35, 2, 12, 2], [35, 2, 24, 3], [70, 2, 12, 6], [70, 2, 24, 9]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 24, 'exponent': 140, 'exponents_of_order': [3, 2, 1], 'factors_of_aut_order': [2, 3, 5, 7], 'factors_of_order': [2, 5, 7], 'faithful_reps': [], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '980.32', 'hash': 102, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 70, 'inner_gen_orders': [2, 35], 'inner_gens': [[1, 1932], [57, 28]], 'inner_hash': 3, 'inner_nilpotent': False, 'inner_order': 70, 'inner_split': True, 'inner_tex': 'D_{35}', 'inner_used': [1, 2], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': None, 'irrep_stats': [[1, 56], [2, 476]], 'label': '1960.102', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C70:C28', 'ngens': 6, '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': 26, 'number_characteristic_subgroups': 26, 'number_conjugacy_classes': 532, 'number_divisions': 52, 'number_normal_subgroups': 46, 'number_subgroup_autclasses': 56, 'number_subgroup_classes': 94, 'number_subgroups': 388, 'old_label': None, 'order': 1960, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 3], [4, 140], [5, 4], [7, 48], [10, 12], [14, 144], [28, 840], [35, 192], [70, 576]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 12, 'outer_gen_orders': [2, 2, 12, 12], 'outer_gen_pows': [0, 0, 0, 0], 'outer_gens': [[13, 28], [981, 28], [9, 1596], [981, 322]], 'outer_group': '576.8198', 'outer_hash': 8198, 'outer_nilpotent': True, 'outer_order': 576, 'outer_permdeg': 16, 'outer_perms': [39916800, 1313901756720, 2795972256144, 40325043], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_4^2:C_6^2', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 25, 'pgroup': 0, 'primary_abelian_invariants': [2, 4, 7], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 2], [4, 4], [6, 8], [12, 14], [24, 8], [48, 12]], 'representations': {'PC': {'code': 13906232785769961412831877340431, 'gens': [1, 4], 'pres': [6, -2, -2, -7, -2, -5, -7, 12, 31, 46371, 69, 57124, 178, 60485]}, 'Perm': {'d': 25, 'gens': [25903229347167585678720, 40320, 873, 1037836800, 397620186163200, 672254738740453220352000]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 28], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{70}:C_{28}', 'transitive_degree': 280, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 137380668
{'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 102, 'group_order': 1960, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1], 'representative': 0, 'size': 1}
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id: 137380779
{'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 102, 'group_order': 1960, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2], 'representative': 14, 'size': 1}
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id: 137380890
{'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 102, 'group_order': 1960, 'label': '2B', 'order': 2, 'powers': [1, 3, 3, 3], 'representative': 980, 'size': 1}
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id: 137381001
{'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 102, 'group_order': 1960, 'label': '2C', 'order': 2, 'powers': [1, 4, 4, 4], 'representative': 994, 'size': 1}
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id: 137381112
{'aut_label': '4A1', 'centralizer': '35.a1.a1', 'counter': 5, 'group_counter': 102, 'group_order': 1960, 'label': '4A1', 'order': 4, 'powers': [2, 6, 5, 6], 'representative': 7, 'size': 35}
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id: 137381156
{'aut_label': '4A1', 'centralizer': '35.a1.a1', 'counter': 6, 'group_counter': 102, 'group_order': 1960, 'label': '4A-1', 'order': 4, 'powers': [2, 5, 6, 5], 'representative': 21, 'size': 35}
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id: 137381167
{'aut_label': '4A1', 'centralizer': '35.a1.a1', 'counter': 7, 'group_counter': 102, 'group_order': 1960, 'label': '4B1', 'order': 4, 'powers': [2, 8, 7, 8], 'representative': 35, 'size': 35}
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id: 137381178
{'aut_label': '4A1', 'centralizer': '35.a1.a1', 'counter': 8, 'group_counter': 102, 'group_order': 1960, 'label': '4B-1', 'order': 4, 'powers': [2, 7, 8, 7], 'representative': 49, 'size': 35}
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id: 137381189
{'aut_label': '5A1', 'centralizer': '2.a1.a1', 'counter': 9, 'group_counter': 102, 'group_order': 1960, 'label': '5A1', 'order': 5, 'powers': [10, 10, 1, 10], 'representative': 392, 'size': 2}
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id: 137380669
{'aut_label': '5A1', 'centralizer': '2.a1.a1', 'counter': 10, 'group_counter': 102, 'group_order': 1960, 'label': '5A2', 'order': 5, 'powers': [9, 9, 1, 9], 'representative': 784, 'size': 2}
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id: 137380680
{'aut_label': '7A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 102, 'group_order': 1960, 'label': '7A1', 'order': 7, 'powers': [13, 15, 14, 1], 'representative': 4, 'size': 1}
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id: 137380691
{'aut_label': '7A1', 'centralizer': '1.a1.a1', 'counter': 12, 'group_counter': 102, 'group_order': 1960, 'label': '7A-1', 'order': 7, 'powers': [14, 16, 13, 1], 'representative': 24, 'size': 1}
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id: 137380702
{'aut_label': '7A1', 'centralizer': '1.a1.a1', 'counter': 13, 'group_counter': 102, 'group_order': 1960, 'label': '7A2', 'order': 7, 'powers': [16, 12, 15, 1], 'representative': 8, 'size': 1}
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id: 137380713
{'aut_label': '7A1', 'centralizer': '1.a1.a1', 'counter': 14, 'group_counter': 102, 'group_order': 1960, 'label': '7A-2', 'order': 7, 'powers': [15, 11, 16, 1], 'representative': 20, 'size': 1}
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id: 137380724
{'aut_label': '7A1', 'centralizer': '1.a1.a1', 'counter': 15, 'group_counter': 102, 'group_order': 1960, 'label': '7A3', 'order': 7, 'powers': [12, 13, 11, 1], 'representative': 12, 'size': 1}
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id: 137380735
{'aut_label': '7A1', 'centralizer': '1.a1.a1', 'counter': 16, 'group_counter': 102, 'group_order': 1960, 'label': '7A-3', 'order': 7, 'powers': [11, 14, 12, 1], 'representative': 16, 'size': 1}
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id: 137380746
{'aut_label': '7B1', 'centralizer': '2.a1.a1', 'counter': 17, 'group_counter': 102, 'group_order': 1960, 'label': '7B1', 'order': 7, 'powers': [18, 19, 18, 1], 'representative': 280, 'size': 2}
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id: 137380757
{'aut_label': '7B1', 'centralizer': '2.a1.a1', 'counter': 18, 'group_counter': 102, 'group_order': 1960, 'label': '7B2', 'order': 7, 'powers': [19, 17, 19, 1], 'representative': 560, 'size': 2}
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id: 137380768
{'aut_label': '7B1', 'centralizer': '2.a1.a1', 'counter': 19, 'group_counter': 102, 'group_order': 1960, 'label': '7B3', 'order': 7, 'powers': [17, 18, 17, 1], 'representative': 840, 'size': 2}
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id: 137380780
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 20, 'group_counter': 102, 'group_order': 1960, 'label': '7C1', 'order': 7, 'powers': [22, 24, 23, 1], 'representative': 292, 'size': 2}
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id: 137380791
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 21, 'group_counter': 102, 'group_order': 1960, 'label': '7C-1', 'order': 7, 'powers': [23, 25, 22, 1], 'representative': 1696, 'size': 2}
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id: 137380802
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 22, 'group_counter': 102, 'group_order': 1960, 'label': '7C2', 'order': 7, 'powers': [25, 21, 24, 1], 'representative': 584, 'size': 2}
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id: 137380813
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 23, 'group_counter': 102, 'group_order': 1960, 'label': '7C-2', 'order': 7, 'powers': [24, 20, 25, 1], 'representative': 1404, 'size': 2}
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id: 137380824
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 24, 'group_counter': 102, 'group_order': 1960, 'label': '7C3', 'order': 7, 'powers': [21, 22, 20, 1], 'representative': 848, 'size': 2}
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id: 137380835
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 25, 'group_counter': 102, 'group_order': 1960, 'label': '7C-3', 'order': 7, 'powers': [20, 23, 21, 1], 'representative': 1140, 'size': 2}
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id: 137380846
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 26, 'group_counter': 102, 'group_order': 1960, 'label': '7D1', 'order': 7, 'powers': [28, 30, 29, 1], 'representative': 580, 'size': 2}
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id: 137380857
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 27, 'group_counter': 102, 'group_order': 1960, 'label': '7D-1', 'order': 7, 'powers': [29, 31, 28, 1], 'representative': 1408, 'size': 2}
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id: 137380868
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 28, 'group_counter': 102, 'group_order': 1960, 'label': '7D2', 'order': 7, 'powers': [31, 27, 30, 1], 'representative': 1132, 'size': 2}
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id: 137380879
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 29, 'group_counter': 102, 'group_order': 1960, 'label': '7D-2', 'order': 7, 'powers': [30, 26, 31, 1], 'representative': 856, 'size': 2}
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id: 137380891
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 30, 'group_counter': 102, 'group_order': 1960, 'label': '7D3', 'order': 7, 'powers': [27, 28, 26, 1], 'representative': 1684, 'size': 2}
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id: 137380902
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 31, 'group_counter': 102, 'group_order': 1960, 'label': '7D-3', 'order': 7, 'powers': [26, 29, 27, 1], 'representative': 304, 'size': 2}
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id: 137380913
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 32, 'group_counter': 102, 'group_order': 1960, 'label': '7E1', 'order': 7, 'powers': [34, 36, 35, 1], 'representative': 300, 'size': 2}
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id: 137380924
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 33, 'group_counter': 102, 'group_order': 1960, 'label': '7E-1', 'order': 7, 'powers': [35, 37, 34, 1], 'representative': 1688, 'size': 2}
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id: 137380935
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 34, 'group_counter': 102, 'group_order': 1960, 'label': '7E2', 'order': 7, 'powers': [37, 33, 36, 1], 'representative': 572, 'size': 2}
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id: 137380946
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 35, 'group_counter': 102, 'group_order': 1960, 'label': '7E-2', 'order': 7, 'powers': [36, 32, 37, 1], 'representative': 1416, 'size': 2}
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id: 137380957
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 36, 'group_counter': 102, 'group_order': 1960, 'label': '7E3', 'order': 7, 'powers': [33, 34, 32, 1], 'representative': 844, 'size': 2}
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id: 137380968
{'aut_label': '7C1', 'centralizer': '2.a1.a1', 'counter': 37, 'group_counter': 102, 'group_order': 1960, 'label': '7E-3', 'order': 7, 'powers': [32, 35, 33, 1], 'representative': 1144, 'size': 2}
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id: 137380979
{'aut_label': '10A1', 'centralizer': '2.a1.a1', 'counter': 38, 'group_counter': 102, 'group_order': 1960, 'label': '10A1', 'order': 10, 'powers': [9, 39, 3, 39], 'representative': 196, 'size': 2}
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id: 137380990
{'aut_label': '10A1', 'centralizer': '2.a1.a1', 'counter': 39, 'group_counter': 102, 'group_order': 1960, 'label': '10A3', 'order': 10, 'powers': [10, 38, 3, 38], 'representative': 588, 'size': 2}
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id: 137381002
{'aut_label': '10B1', 'centralizer': '2.a1.a1', 'counter': 40, 'group_counter': 102, 'group_order': 1960, 'label': '10B1', 'order': 10, 'powers': [9, 41, 2, 41], 'representative': 798, 'size': 2}
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id: 137381013
{'aut_label': '10B1', 'centralizer': '2.a1.a1', 'counter': 41, 'group_counter': 102, 'group_order': 1960, 'label': '10B3', 'order': 10, 'powers': [10, 40, 2, 40], 'representative': 406, 'size': 2}
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id: 137381024
{'aut_label': '10A1', 'centralizer': '2.a1.a1', 'counter': 42, 'group_counter': 102, 'group_order': 1960, 'label': '10C1', 'order': 10, 'powers': [9, 43, 4, 43], 'representative': 210, 'size': 2}
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id: 137381035
{'aut_label': '10A1', 'centralizer': '2.a1.a1', 'counter': 43, 'group_counter': 102, 'group_order': 1960, 'label': '10C3', 'order': 10, 'powers': [10, 42, 4, 42], 'representative': 602, 'size': 2}
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id: 137381046
{'aut_label': '14A1', 'centralizer': '1.a1.a1', 'counter': 44, 'group_counter': 102, 'group_order': 1960, 'label': '14A1', 'order': 14, 'powers': [11, 46, 48, 2], 'representative': 2, 'size': 1}
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id: 137381057
{'aut_label': '14A1', 'centralizer': '1.a1.a1', 'counter': 45, 'group_counter': 102, 'group_order': 1960, 'label': '14A-1', 'order': 14, 'powers': [12, 47, 49, 2], 'representative': 26, 'size': 1}
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id: 137381068
{'aut_label': '14A1', 'centralizer': '1.a1.a1', 'counter': 46, 'group_counter': 102, 'group_order': 1960, 'label': '14A3', 'order': 14, 'powers': [15, 49, 44, 2], 'representative': 6, 'size': 1}
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id: 137381079
{'aut_label': '14A1', 'centralizer': '1.a1.a1', 'counter': 47, 'group_counter': 102, 'group_order': 1960, 'label': '14A-3', 'order': 14, 'powers': [16, 48, 45, 2], 'representative': 22, 'size': 1}
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id: 137381090
{'aut_label': '14A1', 'centralizer': '1.a1.a1', 'counter': 48, 'group_counter': 102, 'group_order': 1960, 'label': '14A5', 'order': 14, 'powers': [14, 44, 47, 2], 'representative': 10, 'size': 1}
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id: 137381101
{'aut_label': '14A1', 'centralizer': '1.a1.a1', 'counter': 49, 'group_counter': 102, 'group_order': 1960, 'label': '14A-5', 'order': 14, 'powers': [13, 45, 46, 2], 'representative': 18, 'size': 1}
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id: 137381113
{'aut_label': '14B1', 'centralizer': '1.a1.a1', 'counter': 50, 'group_counter': 102, 'group_order': 1960, 'label': '14B1', 'order': 14, 'powers': [15, 52, 54, 3], 'representative': 1000, 'size': 1}
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id: 137381124
{'aut_label': '14B1', 'centralizer': '1.a1.a1', 'counter': 51, 'group_counter': 102, 'group_order': 1960, 'label': '14B-1', 'order': 14, 'powers': [16, 53, 55, 3], 'representative': 988, 'size': 1}
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id: 137381135
{'aut_label': '14B1', 'centralizer': '1.a1.a1', 'counter': 52, 'group_counter': 102, 'group_order': 1960, 'label': '14B3', 'order': 14, 'powers': [13, 55, 50, 3], 'representative': 984, 'size': 1}
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id: 137381146
{'aut_label': '14B1', 'centralizer': '1.a1.a1', 'counter': 53, 'group_counter': 102, 'group_order': 1960, 'label': '14B-3', 'order': 14, 'powers': [14, 54, 51, 3], 'representative': 1004, 'size': 1}
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id: 137381150
{'aut_label': '14B1', 'centralizer': '1.a1.a1', 'counter': 54, 'group_counter': 102, 'group_order': 1960, 'label': '14B5', 'order': 14, 'powers': [11, 50, 53, 3], 'representative': 996, 'size': 1}
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id: 137381151
{'aut_label': '14B1', 'centralizer': '1.a1.a1', 'counter': 55, 'group_counter': 102, 'group_order': 1960, 'label': '14B-5', 'order': 14, 'powers': [12, 51, 52, 3], 'representative': 992, 'size': 1}
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id: 137381152
{'aut_label': '14B1', 'centralizer': '1.a1.a1', 'counter': 56, 'group_counter': 102, 'group_order': 1960, 'label': '14C1', 'order': 14, 'powers': [14, 58, 60, 4], 'representative': 990, 'size': 1}
-
id: 137381153
{'aut_label': '14B1', 'centralizer': '1.a1.a1', 'counter': 57, 'group_counter': 102, 'group_order': 1960, 'label': '14C-1', 'order': 14, 'powers': [13, 59, 61, 4], 'representative': 998, 'size': 1}
-
id: 137381154
{'aut_label': '14B1', 'centralizer': '1.a1.a1', 'counter': 58, 'group_counter': 102, 'group_order': 1960, 'label': '14C3', 'order': 14, 'powers': [11, 61, 56, 4], 'representative': 982, 'size': 1}
-
id: 137381155
{'aut_label': '14B1', 'centralizer': '1.a1.a1', 'counter': 59, 'group_counter': 102, 'group_order': 1960, 'label': '14C-3', 'order': 14, 'powers': [12, 60, 57, 4], 'representative': 1006, 'size': 1}
-
id: 137381157
{'aut_label': '14B1', 'centralizer': '1.a1.a1', 'counter': 60, 'group_counter': 102, 'group_order': 1960, 'label': '14C5', 'order': 14, 'powers': [16, 56, 59, 4], 'representative': 1002, 'size': 1}
-
id: 137381158
{'aut_label': '14B1', 'centralizer': '1.a1.a1', 'counter': 61, 'group_counter': 102, 'group_order': 1960, 'label': '14C-5', 'order': 14, 'powers': [15, 57, 58, 4], 'representative': 986, 'size': 1}
-
id: 137381159
{'aut_label': '14D1', 'centralizer': '2.a1.a1', 'counter': 62, 'group_counter': 102, 'group_order': 1960, 'label': '14D1', 'order': 14, 'powers': [17, 63, 64, 3], 'representative': 140, 'size': 2}
-
id: 137381160
{'aut_label': '14D1', 'centralizer': '2.a1.a1', 'counter': 63, 'group_counter': 102, 'group_order': 1960, 'label': '14D3', 'order': 14, 'powers': [19, 64, 62, 3], 'representative': 420, 'size': 2}
-
id: 137381161
{'aut_label': '14D1', 'centralizer': '2.a1.a1', 'counter': 64, 'group_counter': 102, 'group_order': 1960, 'label': '14D5', 'order': 14, 'powers': [18, 62, 63, 3], 'representative': 700, 'size': 2}
-
id: 137381162
{'aut_label': '14E1', 'centralizer': '2.a1.a1', 'counter': 65, 'group_counter': 102, 'group_order': 1960, 'label': '14E1', 'order': 14, 'powers': [18, 66, 67, 2], 'representative': 294, 'size': 2}
-
id: 137381163
{'aut_label': '14E1', 'centralizer': '2.a1.a1', 'counter': 66, 'group_counter': 102, 'group_order': 1960, 'label': '14E3', 'order': 14, 'powers': [17, 67, 65, 2], 'representative': 854, 'size': 2}
-
id: 137381164
{'aut_label': '14E1', 'centralizer': '2.a1.a1', 'counter': 67, 'group_counter': 102, 'group_order': 1960, 'label': '14E5', 'order': 14, 'powers': [19, 65, 66, 2], 'representative': 1414, 'size': 2}
-
id: 137381165
{'aut_label': '14D1', 'centralizer': '2.a1.a1', 'counter': 68, 'group_counter': 102, 'group_order': 1960, 'label': '14F1', 'order': 14, 'powers': [17, 69, 70, 4], 'representative': 154, 'size': 2}
-
id: 137381166
{'aut_label': '14D1', 'centralizer': '2.a1.a1', 'counter': 69, 'group_counter': 102, 'group_order': 1960, 'label': '14F3', 'order': 14, 'powers': [19, 70, 68, 4], 'representative': 434, 'size': 2}
-
id: 137381168
{'aut_label': '14D1', 'centralizer': '2.a1.a1', 'counter': 70, 'group_counter': 102, 'group_order': 1960, 'label': '14F5', 'order': 14, 'powers': [18, 68, 69, 4], 'representative': 714, 'size': 2}
-
id: 137381169
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 71, 'group_counter': 102, 'group_order': 1960, 'label': '14G1', 'order': 14, 'powers': [20, 73, 75, 3], 'representative': 160, 'size': 2}
-
id: 137381170
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 72, 'group_counter': 102, 'group_order': 1960, 'label': '14G-1', 'order': 14, 'powers': [21, 74, 76, 3], 'representative': 1828, 'size': 2}
-
id: 137381171
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 73, 'group_counter': 102, 'group_order': 1960, 'label': '14G3', 'order': 14, 'powers': [24, 76, 71, 3], 'representative': 424, 'size': 2}
-
id: 137381172
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 74, 'group_counter': 102, 'group_order': 1960, 'label': '14G-3', 'order': 14, 'powers': [25, 75, 72, 3], 'representative': 1564, 'size': 2}
-
id: 137381173
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 75, 'group_counter': 102, 'group_order': 1960, 'label': '14G5', 'order': 14, 'powers': [23, 71, 74, 3], 'representative': 716, 'size': 2}
-
id: 137381174
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 76, 'group_counter': 102, 'group_order': 1960, 'label': '14G-5', 'order': 14, 'powers': [22, 72, 73, 3], 'representative': 1272, 'size': 2}
-
id: 137381175
{'aut_label': '14H1', 'centralizer': '2.a1.a1', 'counter': 77, 'group_counter': 102, 'group_order': 1960, 'label': '14H1', 'order': 14, 'powers': [26, 79, 81, 2], 'representative': 290, 'size': 2}
-
id: 137381176
{'aut_label': '14H1', 'centralizer': '2.a1.a1', 'counter': 78, 'group_counter': 102, 'group_order': 1960, 'label': '14H-1', 'order': 14, 'powers': [27, 80, 82, 2], 'representative': 1698, 'size': 2}
-
id: 137381177
{'aut_label': '14H1', 'centralizer': '2.a1.a1', 'counter': 79, 'group_counter': 102, 'group_order': 1960, 'label': '14H3', 'order': 14, 'powers': [30, 82, 77, 2], 'representative': 842, 'size': 2}
-
id: 137381179
{'aut_label': '14H1', 'centralizer': '2.a1.a1', 'counter': 80, 'group_counter': 102, 'group_order': 1960, 'label': '14H-3', 'order': 14, 'powers': [31, 81, 78, 2], 'representative': 1146, 'size': 2}
-
id: 137381180
{'aut_label': '14H1', 'centralizer': '2.a1.a1', 'counter': 81, 'group_counter': 102, 'group_order': 1960, 'label': '14H5', 'order': 14, 'powers': [29, 77, 80, 2], 'representative': 1422, 'size': 2}
-
id: 137381181
{'aut_label': '14H1', 'centralizer': '2.a1.a1', 'counter': 82, 'group_counter': 102, 'group_order': 1960, 'label': '14H-5', 'order': 14, 'powers': [28, 78, 79, 2], 'representative': 566, 'size': 2}
-
id: 137381182
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 83, 'group_counter': 102, 'group_order': 1960, 'label': '14I1', 'order': 14, 'powers': [32, 85, 87, 4], 'representative': 150, 'size': 2}
-
id: 137381183
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 84, 'group_counter': 102, 'group_order': 1960, 'label': '14I-1', 'order': 14, 'powers': [33, 86, 88, 4], 'representative': 1838, 'size': 2}
-
id: 137381184
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 85, 'group_counter': 102, 'group_order': 1960, 'label': '14I3', 'order': 14, 'powers': [36, 88, 83, 4], 'representative': 422, 'size': 2}
-
id: 137381185
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 86, 'group_counter': 102, 'group_order': 1960, 'label': '14I-3', 'order': 14, 'powers': [37, 87, 84, 4], 'representative': 1566, 'size': 2}
-
id: 137381186
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 87, 'group_counter': 102, 'group_order': 1960, 'label': '14I5', 'order': 14, 'powers': [35, 83, 86, 4], 'representative': 722, 'size': 2}
-
id: 137381187
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 88, 'group_counter': 102, 'group_order': 1960, 'label': '14I-5', 'order': 14, 'powers': [34, 84, 85, 4], 'representative': 1266, 'size': 2}
-
id: 137381188
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 89, 'group_counter': 102, 'group_order': 1960, 'label': '14J1', 'order': 14, 'powers': [31, 91, 93, 3], 'representative': 152, 'size': 2}
-
id: 137381190
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 90, 'group_counter': 102, 'group_order': 1960, 'label': '14J-1', 'order': 14, 'powers': [30, 92, 94, 3], 'representative': 1836, 'size': 2}
-
id: 137381191
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 91, 'group_counter': 102, 'group_order': 1960, 'label': '14J3', 'order': 14, 'powers': [29, 94, 89, 3], 'representative': 428, 'size': 2}
-
id: 137381192
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 92, 'group_counter': 102, 'group_order': 1960, 'label': '14J-3', 'order': 14, 'powers': [28, 93, 90, 3], 'representative': 1560, 'size': 2}
-
id: 137381193
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 93, 'group_counter': 102, 'group_order': 1960, 'label': '14J5', 'order': 14, 'powers': [27, 89, 92, 3], 'representative': 704, 'size': 2}
-
id: 137381194
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 94, 'group_counter': 102, 'group_order': 1960, 'label': '14J-5', 'order': 14, 'powers': [26, 90, 91, 3], 'representative': 1284, 'size': 2}
-
id: 137381195
{'aut_label': '14H1', 'centralizer': '2.a1.a1', 'counter': 95, 'group_counter': 102, 'group_order': 1960, 'label': '14K1', 'order': 14, 'powers': [25, 97, 99, 2], 'representative': 570, 'size': 2}
-
id: 137381196
{'aut_label': '14H1', 'centralizer': '2.a1.a1', 'counter': 96, 'group_counter': 102, 'group_order': 1960, 'label': '14K-1', 'order': 14, 'powers': [24, 98, 100, 2], 'representative': 1418, 'size': 2}
-
id: 137381197
{'aut_label': '14H1', 'centralizer': '2.a1.a1', 'counter': 97, 'group_counter': 102, 'group_order': 1960, 'label': '14K3', 'order': 14, 'powers': [23, 100, 95, 2], 'representative': 1682, 'size': 2}
-
id: 137381198
{'aut_label': '14H1', 'centralizer': '2.a1.a1', 'counter': 98, 'group_counter': 102, 'group_order': 1960, 'label': '14K-3', 'order': 14, 'powers': [22, 99, 96, 2], 'representative': 306, 'size': 2}
-
id: 137381199
{'aut_label': '14H1', 'centralizer': '2.a1.a1', 'counter': 99, 'group_counter': 102, 'group_order': 1960, 'label': '14K5', 'order': 14, 'powers': [21, 95, 98, 2], 'representative': 862, 'size': 2}
-
id: 137380670
{'aut_label': '14H1', 'centralizer': '2.a1.a1', 'counter': 100, 'group_counter': 102, 'group_order': 1960, 'label': '14K-5', 'order': 14, 'powers': [20, 96, 97, 2], 'representative': 1126, 'size': 2}
-
id: 137380671
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 101, 'group_counter': 102, 'group_order': 1960, 'label': '14L1', 'order': 14, 'powers': [33, 103, 105, 3], 'representative': 144, 'size': 2}
-
id: 137380672
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 102, 'group_counter': 102, 'group_order': 1960, 'label': '14L-1', 'order': 14, 'powers': [32, 104, 106, 3], 'representative': 1844, 'size': 2}
-
id: 137380673
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 103, 'group_counter': 102, 'group_order': 1960, 'label': '14L3', 'order': 14, 'powers': [37, 106, 101, 3], 'representative': 432, 'size': 2}
-
id: 137380674
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 104, 'group_counter': 102, 'group_order': 1960, 'label': '14L-3', 'order': 14, 'powers': [36, 105, 102, 3], 'representative': 1556, 'size': 2}
-
id: 137380675
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 105, 'group_counter': 102, 'group_order': 1960, 'label': '14L5', 'order': 14, 'powers': [34, 101, 104, 3], 'representative': 720, 'size': 2}
-
id: 137380676
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 106, 'group_counter': 102, 'group_order': 1960, 'label': '14L-5', 'order': 14, 'powers': [35, 102, 103, 3], 'representative': 1268, 'size': 2}
-
id: 137380677
{'aut_label': '14H1', 'centralizer': '2.a1.a1', 'counter': 107, 'group_counter': 102, 'group_order': 1960, 'label': '14M1', 'order': 14, 'powers': [32, 109, 111, 2], 'representative': 850, 'size': 2}
-
id: 137380678
{'aut_label': '14H1', 'centralizer': '2.a1.a1', 'counter': 108, 'group_counter': 102, 'group_order': 1960, 'label': '14M-1', 'order': 14, 'powers': [33, 110, 112, 2], 'representative': 1138, 'size': 2}
-
id: 137380679
{'aut_label': '14H1', 'centralizer': '2.a1.a1', 'counter': 109, 'group_counter': 102, 'group_order': 1960, 'label': '14M3', 'order': 14, 'powers': [36, 112, 107, 2], 'representative': 562, 'size': 2}
-
id: 137380681
{'aut_label': '14H1', 'centralizer': '2.a1.a1', 'counter': 110, 'group_counter': 102, 'group_order': 1960, 'label': '14M-3', 'order': 14, 'powers': [37, 111, 108, 2], 'representative': 1426, 'size': 2}
-
id: 137380682
{'aut_label': '14H1', 'centralizer': '2.a1.a1', 'counter': 111, 'group_counter': 102, 'group_order': 1960, 'label': '14M5', 'order': 14, 'powers': [35, 107, 110, 2], 'representative': 302, 'size': 2}
-
id: 137380683
{'aut_label': '14H1', 'centralizer': '2.a1.a1', 'counter': 112, 'group_counter': 102, 'group_order': 1960, 'label': '14M-5', 'order': 14, 'powers': [34, 108, 109, 2], 'representative': 1686, 'size': 2}
-
id: 137380684
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 113, 'group_counter': 102, 'group_order': 1960, 'label': '14N1', 'order': 14, 'powers': [25, 115, 117, 4], 'representative': 1550, 'size': 2}
-
id: 137380685
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 114, 'group_counter': 102, 'group_order': 1960, 'label': '14N-1', 'order': 14, 'powers': [24, 116, 118, 4], 'representative': 438, 'size': 2}
-
id: 137380686
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 115, 'group_counter': 102, 'group_order': 1960, 'label': '14N3', 'order': 14, 'powers': [23, 118, 113, 4], 'representative': 702, 'size': 2}
-
id: 137380687
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 116, 'group_counter': 102, 'group_order': 1960, 'label': '14N-3', 'order': 14, 'powers': [22, 117, 114, 4], 'representative': 1286, 'size': 2}
-
id: 137380688
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 117, 'group_counter': 102, 'group_order': 1960, 'label': '14N5', 'order': 14, 'powers': [21, 113, 116, 4], 'representative': 1842, 'size': 2}
-
id: 137380689
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 118, 'group_counter': 102, 'group_order': 1960, 'label': '14N-5', 'order': 14, 'powers': [20, 114, 115, 4], 'representative': 146, 'size': 2}
-
id: 137380690
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 119, 'group_counter': 102, 'group_order': 1960, 'label': '14O1', 'order': 14, 'powers': [30, 121, 123, 4], 'representative': 142, 'size': 2}
-
id: 137380692
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 120, 'group_counter': 102, 'group_order': 1960, 'label': '14O-1', 'order': 14, 'powers': [31, 122, 124, 4], 'representative': 1846, 'size': 2}
-
id: 137380693
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 121, 'group_counter': 102, 'group_order': 1960, 'label': '14O3', 'order': 14, 'powers': [28, 124, 119, 4], 'representative': 426, 'size': 2}
-
id: 137380694
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 122, 'group_counter': 102, 'group_order': 1960, 'label': '14O-3', 'order': 14, 'powers': [29, 123, 120, 4], 'representative': 1562, 'size': 2}
-
id: 137380695
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 123, 'group_counter': 102, 'group_order': 1960, 'label': '14O5', 'order': 14, 'powers': [26, 119, 122, 4], 'representative': 710, 'size': 2}
-
id: 137380696
{'aut_label': '14G1', 'centralizer': '2.a1.a1', 'counter': 124, 'group_counter': 102, 'group_order': 1960, 'label': '14O-5', 'order': 14, 'powers': [27, 120, 121, 4], 'representative': 1278, 'size': 2}
-
id: 137380697
{'aut_label': '28A1', 'centralizer': '35.a1.a1', 'counter': 125, 'group_counter': 102, 'group_order': 1960, 'label': '28A1', 'order': 28, 'powers': [44, 127, 129, 5], 'representative': 1, 'size': 35}
-
id: 137380698
{'aut_label': '28A1', 'centralizer': '35.a1.a1', 'counter': 126, 'group_counter': 102, 'group_order': 1960, 'label': '28A-1', 'order': 28, 'powers': [45, 128, 130, 6], 'representative': 27, 'size': 35}
-
id: 137380699
{'aut_label': '28A1', 'centralizer': '35.a1.a1', 'counter': 127, 'group_counter': 102, 'group_order': 1960, 'label': '28A3', 'order': 28, 'powers': [46, 131, 136, 6], 'representative': 3, 'size': 35}
-
id: 137380700
{'aut_label': '28A1', 'centralizer': '35.a1.a1', 'counter': 128, 'group_counter': 102, 'group_order': 1960, 'label': '28A-3', 'order': 28, 'powers': [47, 132, 135, 5], 'representative': 25, 'size': 35}
-
id: 137380701
{'aut_label': '28A1', 'centralizer': '35.a1.a1', 'counter': 129, 'group_counter': 102, 'group_order': 1960, 'label': '28A5', 'order': 28, 'powers': [48, 136, 128, 5], 'representative': 5, 'size': 35}
-
id: 137380703
{'aut_label': '28A1', 'centralizer': '35.a1.a1', 'counter': 130, 'group_counter': 102, 'group_order': 1960, 'label': '28A-5', 'order': 28, 'powers': [49, 135, 127, 6], 'representative': 23, 'size': 35}
-
id: 137380704
{'aut_label': '28A1', 'centralizer': '35.a1.a1', 'counter': 131, 'group_counter': 102, 'group_order': 1960, 'label': '28A9', 'order': 28, 'powers': [49, 126, 134, 5], 'representative': 9, 'size': 35}
-
id: 137380705
{'aut_label': '28A1', 'centralizer': '35.a1.a1', 'counter': 132, 'group_counter': 102, 'group_order': 1960, 'label': '28A-9', 'order': 28, 'powers': [48, 125, 133, 6], 'representative': 19, 'size': 35}
-
id: 137380706
{'aut_label': '28A1', 'centralizer': '35.a1.a1', 'counter': 133, 'group_counter': 102, 'group_order': 1960, 'label': '28A11', 'order': 28, 'powers': [47, 129, 126, 6], 'representative': 11, 'size': 35}
-
id: 137380707
{'aut_label': '28A1', 'centralizer': '35.a1.a1', 'counter': 134, 'group_counter': 102, 'group_order': 1960, 'label': '28A-11', 'order': 28, 'powers': [46, 130, 125, 5], 'representative': 17, 'size': 35}
-
id: 137380708
{'aut_label': '28A1', 'centralizer': '35.a1.a1', 'counter': 135, 'group_counter': 102, 'group_order': 1960, 'label': '28A13', 'order': 28, 'powers': [45, 133, 131, 5], 'representative': 13, 'size': 35}
-
id: 137380709
{'aut_label': '28A1', 'centralizer': '35.a1.a1', 'counter': 136, 'group_counter': 102, 'group_order': 1960, 'label': '28A-13', 'order': 28, 'powers': [44, 134, 132, 6], 'representative': 15, 'size': 35}
-
id: 137380710
{'aut_label': '28A1', 'centralizer': '35.a1.a1', 'counter': 137, 'group_counter': 102, 'group_order': 1960, 'label': '28B1', 'order': 28, 'powers': [44, 139, 141, 7], 'representative': 29, 'size': 35}
-
id: 137380711
{'aut_label': '28A1', 'centralizer': '35.a1.a1', 'counter': 138, 'group_counter': 102, 'group_order': 1960, 'label': '28B-1', 'order': 28, 'powers': [45, 140, 142, 8], 'representative': 55, 'size': 35}
-
id: 137380712
{'aut_label': '28A1', 'centralizer': '35.a1.a1', 'counter': 139, 'group_counter': 102, 'group_order': 1960, 'label': '28B3', 'order': 28, 'powers': [46, 143, 148, 8], 'representative': 31, 'size': 35}
-
id: 137380714
{'aut_label': '28A1', 'centralizer': '35.a1.a1', 'counter': 140, 'group_counter': 102, 'group_order': 1960, 'label': '28B-3', 'order': 28, 'powers': [47, 144, 147, 7], 'representative': 53, 'size': 35}
-
id: 137380715
{'aut_label': '28A1', 'centralizer': '35.a1.a1', 'counter': 141, 'group_counter': 102, 'group_order': 1960, 'label': '28B5', 'order': 28, 'powers': [48, 148, 140, 7], 'representative': 33, 'size': 35}
-
id: 137380716
{'aut_label': '28A1', 'centralizer': '35.a1.a1', 'counter': 142, 'group_counter': 102, 'group_order': 1960, 'label': '28B-5', 'order': 28, 'powers': [49, 147, 139, 8], 'representative': 51, 'size': 35}
-
id: 137380717
{'aut_label': '28A1', 'centralizer': '35.a1.a1', 'counter': 143, 'group_counter': 102, 'group_order': 1960, 'label': '28B9', 'order': 28, 'powers': [49, 138, 146, 7], 'representative': 37, 'size': 35}
-
id: 137380718
{'aut_label': '28A1', 'centralizer': '35.a1.a1', 'counter': 144, 'group_counter': 102, 'group_order': 1960, 'label': '28B-9', 'order': 28, 'powers': [48, 137, 145, 8], 'representative': 47, 'size': 35}
-
id: 137380719
{'aut_label': '28A1', 'centralizer': '35.a1.a1', 'counter': 145, 'group_counter': 102, 'group_order': 1960, 'label': '28B11', 'order': 28, 'powers': [47, 141, 138, 8], 'representative': 39, 'size': 35}
-
id: 137380720
{'aut_label': '28A1', 'centralizer': '35.a1.a1', 'counter': 146, 'group_counter': 102, 'group_order': 1960, 'label': '28B-11', 'order': 28, 'powers': [46, 142, 137, 7], 'representative': 45, 'size': 35}
-
id: 137380721
{'aut_label': '28A1', 'centralizer': '35.a1.a1', 'counter': 147, 'group_counter': 102, 'group_order': 1960, 'label': '28B13', 'order': 28, 'powers': [45, 145, 143, 7], 'representative': 41, 'size': 35}
-
id: 137380722
{'aut_label': '28A1', 'centralizer': '35.a1.a1', 'counter': 148, 'group_counter': 102, 'group_order': 1960, 'label': '28B-13', 'order': 28, 'powers': [44, 146, 144, 8], 'representative': 43, 'size': 35}
-
id: 137380723
{'aut_label': '35A1', 'centralizer': '2.a1.a1', 'counter': 149, 'group_counter': 102, 'group_order': 1960, 'label': '35A1', 'order': 35, 'powers': [150, 151, 17, 9], 'representative': 56, 'size': 2}
-
id: 137380725
{'aut_label': '35A1', 'centralizer': '2.a1.a1', 'counter': 150, 'group_counter': 102, 'group_order': 1960, 'label': '35A2', 'order': 35, 'powers': [152, 153, 18, 10], 'representative': 112, 'size': 2}
-
id: 137380726
{'aut_label': '35A1', 'centralizer': '2.a1.a1', 'counter': 151, 'group_counter': 102, 'group_order': 1960, 'label': '35A3', 'order': 35, 'powers': [153, 155, 19, 10], 'representative': 168, 'size': 2}
-
id: 137380727
{'aut_label': '35A1', 'centralizer': '2.a1.a1', 'counter': 152, 'group_counter': 102, 'group_order': 1960, 'label': '35A4', 'order': 35, 'powers': [154, 157, 19, 9], 'representative': 224, 'size': 2}
-
id: 137380728
{'aut_label': '35A1', 'centralizer': '2.a1.a1', 'counter': 153, 'group_counter': 102, 'group_order': 1960, 'label': '35A6', 'order': 35, 'powers': [157, 160, 17, 9], 'representative': 336, 'size': 2}
-
id: 137380729
{'aut_label': '35A1', 'centralizer': '2.a1.a1', 'counter': 154, 'group_counter': 102, 'group_order': 1960, 'label': '35A8', 'order': 35, 'powers': [159, 156, 17, 10], 'representative': 448, 'size': 2}
-
id: 137380730
{'aut_label': '35A1', 'centralizer': '2.a1.a1', 'counter': 155, 'group_counter': 102, 'group_order': 1960, 'label': '35A9', 'order': 35, 'powers': [160, 154, 18, 9], 'representative': 504, 'size': 2}
-
id: 137380731
{'aut_label': '35A1', 'centralizer': '2.a1.a1', 'counter': 156, 'group_counter': 102, 'group_order': 1960, 'label': '35A11', 'order': 35, 'powers': [158, 150, 19, 9], 'representative': 616, 'size': 2}
-
id: 137380732
{'aut_label': '35A1', 'centralizer': '2.a1.a1', 'counter': 157, 'group_counter': 102, 'group_order': 1960, 'label': '35A12', 'order': 35, 'powers': [156, 149, 18, 10], 'representative': 672, 'size': 2}
-
id: 137380733
{'aut_label': '35A1', 'centralizer': '2.a1.a1', 'counter': 158, 'group_counter': 102, 'group_order': 1960, 'label': '35A13', 'order': 35, 'powers': [155, 152, 17, 10], 'representative': 728, 'size': 2}
-
id: 137380734
{'aut_label': '35A1', 'centralizer': '2.a1.a1', 'counter': 159, 'group_counter': 102, 'group_order': 1960, 'label': '35A16', 'order': 35, 'powers': [151, 158, 18, 9], 'representative': 896, 'size': 2}
-
id: 137380736
{'aut_label': '35A1', 'centralizer': '2.a1.a1', 'counter': 160, 'group_counter': 102, 'group_order': 1960, 'label': '35A17', 'order': 35, 'powers': [149, 159, 19, 10], 'representative': 952, 'size': 2}
-
id: 137380737
{'aut_label': '35B1', 'centralizer': '2.a1.a1', 'counter': 161, 'group_counter': 102, 'group_order': 1960, 'label': '35B1', 'order': 35, 'powers': [163, 165, 15, 9], 'representative': 1184, 'size': 2}
-
id: 137380738
{'aut_label': '35B1', 'centralizer': '2.a1.a1', 'counter': 162, 'group_counter': 102, 'group_order': 1960, 'label': '35B-1', 'order': 35, 'powers': [164, 166, 16, 9], 'representative': 804, 'size': 2}
-
id: 137380739
{'aut_label': '35B1', 'centralizer': '2.a1.a1', 'counter': 163, 'group_counter': 102, 'group_order': 1960, 'label': '35B2', 'order': 35, 'powers': [167, 162, 12, 10], 'representative': 408, 'size': 2}
-
id: 137380740
{'aut_label': '35B1', 'centralizer': '2.a1.a1', 'counter': 164, 'group_counter': 102, 'group_order': 1960, 'label': '35B-2', 'order': 35, 'powers': [168, 161, 11, 10], 'representative': 1580, 'size': 2}
-
id: 137380741
{'aut_label': '35B1', 'centralizer': '2.a1.a1', 'counter': 165, 'group_counter': 102, 'group_order': 1960, 'label': '35B3', 'order': 35, 'powers': [162, 171, 13, 10], 'representative': 1592, 'size': 2}
-
id: 137380742
{'aut_label': '35B1', 'centralizer': '2.a1.a1', 'counter': 166, 'group_counter': 102, 'group_order': 1960, 'label': '35B-3', 'order': 35, 'powers': [161, 172, 14, 10], 'representative': 396, 'size': 2}
-
id: 137380743
{'aut_label': '35B1', 'centralizer': '2.a1.a1', 'counter': 167, 'group_counter': 102, 'group_order': 1960, 'label': '35B4', 'order': 35, 'powers': [169, 164, 14, 9], 'representative': 788, 'size': 2}
-
id: 137380744
{'aut_label': '35B1', 'centralizer': '2.a1.a1', 'counter': 168, 'group_counter': 102, 'group_order': 1960, 'label': '35B-4', 'order': 35, 'powers': [170, 163, 13, 9], 'representative': 1200, 'size': 2}
-
id: 137380745
{'aut_label': '35B1', 'centralizer': '2.a1.a1', 'counter': 169, 'group_counter': 102, 'group_order': 1960, 'label': '35B8', 'order': 35, 'powers': [171, 168, 15, 10], 'representative': 1576, 'size': 2}
-
id: 137380747
{'aut_label': '35B1', 'centralizer': '2.a1.a1', 'counter': 170, 'group_counter': 102, 'group_order': 1960, 'label': '35B-8', 'order': 35, 'powers': [172, 167, 16, 10], 'representative': 412, 'size': 2}
-
id: 137380748
{'aut_label': '35B1', 'centralizer': '2.a1.a1', 'counter': 171, 'group_counter': 102, 'group_order': 1960, 'label': '35B9', 'order': 35, 'powers': [166, 170, 12, 9], 'representative': 800, 'size': 2}
-
id: 137380749
{'aut_label': '35B1', 'centralizer': '2.a1.a1', 'counter': 172, 'group_counter': 102, 'group_order': 1960, 'label': '35B-9', 'order': 35, 'powers': [165, 169, 11, 9], 'representative': 1188, 'size': 2}
-
id: 137380750
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 173, 'group_counter': 102, 'group_order': 1960, 'label': '35C1', 'order': 35, 'powers': [175, 177, 20, 9], 'representative': 64, 'size': 2}
-
id: 137380751
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 174, 'group_counter': 102, 'group_order': 1960, 'label': '35C-1', 'order': 35, 'powers': [176, 178, 21, 9], 'representative': 1924, 'size': 2}
-
id: 137380752
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 175, 'group_counter': 102, 'group_order': 1960, 'label': '35C2', 'order': 35, 'powers': [179, 181, 22, 10], 'representative': 128, 'size': 2}
-
id: 137380753
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 176, 'group_counter': 102, 'group_order': 1960, 'label': '35C-2', 'order': 35, 'powers': [180, 182, 23, 10], 'representative': 1860, 'size': 2}
-
id: 137380754
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 177, 'group_counter': 102, 'group_order': 1960, 'label': '35C3', 'order': 35, 'powers': [181, 185, 24, 10], 'representative': 192, 'size': 2}
-
id: 137380755
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 178, 'group_counter': 102, 'group_order': 1960, 'label': '35C-3', 'order': 35, 'powers': [182, 186, 25, 10], 'representative': 1796, 'size': 2}
-
id: 137380756
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 179, 'group_counter': 102, 'group_order': 1960, 'label': '35C4', 'order': 35, 'powers': [183, 189, 25, 9], 'representative': 228, 'size': 2}
-
id: 137380758
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 180, 'group_counter': 102, 'group_order': 1960, 'label': '35C-4', 'order': 35, 'powers': [184, 190, 24, 9], 'representative': 1760, 'size': 2}
-
id: 137380759
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 181, 'group_counter': 102, 'group_order': 1960, 'label': '35C6', 'order': 35, 'powers': [189, 196, 21, 9], 'representative': 356, 'size': 2}
-
id: 137380760
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 182, 'group_counter': 102, 'group_order': 1960, 'label': '35C-6', 'order': 35, 'powers': [190, 195, 20, 9], 'representative': 1632, 'size': 2}
-
id: 137380761
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 183, 'group_counter': 102, 'group_order': 1960, 'label': '35C8', 'order': 35, 'powers': [193, 188, 20, 10], 'representative': 456, 'size': 2}
-
id: 137380762
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 184, 'group_counter': 102, 'group_order': 1960, 'label': '35C-8', 'order': 35, 'powers': [194, 187, 21, 10], 'representative': 1532, 'size': 2}
-
id: 137380763
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 185, 'group_counter': 102, 'group_order': 1960, 'label': '35C9', 'order': 35, 'powers': [196, 184, 22, 9], 'representative': 520, 'size': 2}
-
id: 137380764
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 186, 'group_counter': 102, 'group_order': 1960, 'label': '35C-9', 'order': 35, 'powers': [195, 183, 23, 9], 'representative': 1468, 'size': 2}
-
id: 137380765
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 187, 'group_counter': 102, 'group_order': 1960, 'label': '35C11', 'order': 35, 'powers': [192, 176, 25, 9], 'representative': 620, 'size': 2}
-
id: 137380766
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 188, 'group_counter': 102, 'group_order': 1960, 'label': '35C-11', 'order': 35, 'powers': [191, 175, 24, 9], 'representative': 1368, 'size': 2}
-
id: 137380767
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 189, 'group_counter': 102, 'group_order': 1960, 'label': '35C12', 'order': 35, 'powers': [188, 173, 23, 10], 'representative': 684, 'size': 2}
-
id: 137380769
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 190, 'group_counter': 102, 'group_order': 1960, 'label': '35C-12', 'order': 35, 'powers': [187, 174, 22, 10], 'representative': 1304, 'size': 2}
-
id: 137380770
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 191, 'group_counter': 102, 'group_order': 1960, 'label': '35C13', 'order': 35, 'powers': [186, 179, 21, 10], 'representative': 748, 'size': 2}
-
id: 137380771
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 192, 'group_counter': 102, 'group_order': 1960, 'label': '35C-13', 'order': 35, 'powers': [185, 180, 20, 10], 'representative': 1240, 'size': 2}
-
id: 137380772
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 193, 'group_counter': 102, 'group_order': 1960, 'label': '35C16', 'order': 35, 'powers': [178, 191, 22, 9], 'representative': 912, 'size': 2}
-
id: 137380773
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 194, 'group_counter': 102, 'group_order': 1960, 'label': '35C-16', 'order': 35, 'powers': [177, 192, 23, 9], 'representative': 1076, 'size': 2}
-
id: 137380774
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 195, 'group_counter': 102, 'group_order': 1960, 'label': '35C17', 'order': 35, 'powers': [174, 193, 24, 10], 'representative': 976, 'size': 2}
-
id: 137380775
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 196, 'group_counter': 102, 'group_order': 1960, 'label': '35C-17', 'order': 35, 'powers': [173, 194, 25, 10], 'representative': 1012, 'size': 2}
-
id: 137380776
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 197, 'group_counter': 102, 'group_order': 1960, 'label': '35D1', 'order': 35, 'powers': [199, 201, 26, 10], 'representative': 116, 'size': 2}
-
id: 137380777
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 198, 'group_counter': 102, 'group_order': 1960, 'label': '35D-1', 'order': 35, 'powers': [200, 202, 27, 10], 'representative': 1872, 'size': 2}
-
id: 137380778
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 199, 'group_counter': 102, 'group_order': 1960, 'label': '35D2', 'order': 35, 'powers': [203, 205, 28, 9], 'representative': 232, 'size': 2}
-
id: 137380781
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 200, 'group_counter': 102, 'group_order': 1960, 'label': '35D-2', 'order': 35, 'powers': [204, 206, 29, 9], 'representative': 1756, 'size': 2}
-
id: 137380782
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 201, 'group_counter': 102, 'group_order': 1960, 'label': '35D3', 'order': 35, 'powers': [205, 209, 30, 9], 'representative': 348, 'size': 2}
-
id: 137380783
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 202, 'group_counter': 102, 'group_order': 1960, 'label': '35D-3', 'order': 35, 'powers': [206, 210, 31, 9], 'representative': 1640, 'size': 2}
-
id: 137380784
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 203, 'group_counter': 102, 'group_order': 1960, 'label': '35D4', 'order': 35, 'powers': [207, 213, 31, 10], 'representative': 464, 'size': 2}
-
id: 137380785
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 204, 'group_counter': 102, 'group_order': 1960, 'label': '35D-4', 'order': 35, 'powers': [208, 214, 30, 10], 'representative': 1524, 'size': 2}
-
id: 137380786
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 205, 'group_counter': 102, 'group_order': 1960, 'label': '35D6', 'order': 35, 'powers': [213, 220, 27, 10], 'representative': 696, 'size': 2}
-
id: 137380787
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 206, 'group_counter': 102, 'group_order': 1960, 'label': '35D-6', 'order': 35, 'powers': [214, 219, 26, 10], 'representative': 1292, 'size': 2}
-
id: 137380788
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 207, 'group_counter': 102, 'group_order': 1960, 'label': '35D8', 'order': 35, 'powers': [217, 212, 26, 9], 'representative': 900, 'size': 2}
-
id: 137380789
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 208, 'group_counter': 102, 'group_order': 1960, 'label': '35D-8', 'order': 35, 'powers': [218, 211, 27, 9], 'representative': 1088, 'size': 2}
-
id: 137380790
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 209, 'group_counter': 102, 'group_order': 1960, 'label': '35D9', 'order': 35, 'powers': [220, 208, 28, 10], 'representative': 1016, 'size': 2}
-
id: 137380792
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 210, 'group_counter': 102, 'group_order': 1960, 'label': '35D-9', 'order': 35, 'powers': [219, 207, 29, 10], 'representative': 972, 'size': 2}
-
id: 137380793
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 211, 'group_counter': 102, 'group_order': 1960, 'label': '35D11', 'order': 35, 'powers': [216, 200, 31, 10], 'representative': 1248, 'size': 2}
-
id: 137380794
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 212, 'group_counter': 102, 'group_order': 1960, 'label': '35D-11', 'order': 35, 'powers': [215, 199, 30, 10], 'representative': 740, 'size': 2}
-
id: 137380795
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 213, 'group_counter': 102, 'group_order': 1960, 'label': '35D12', 'order': 35, 'powers': [212, 197, 29, 9], 'representative': 1364, 'size': 2}
-
id: 137380796
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 214, 'group_counter': 102, 'group_order': 1960, 'label': '35D-12', 'order': 35, 'powers': [211, 198, 28, 9], 'representative': 624, 'size': 2}
-
id: 137380797
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 215, 'group_counter': 102, 'group_order': 1960, 'label': '35D13', 'order': 35, 'powers': [210, 203, 27, 9], 'representative': 1480, 'size': 2}
-
id: 137380798
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 216, 'group_counter': 102, 'group_order': 1960, 'label': '35D-13', 'order': 35, 'powers': [209, 204, 26, 9], 'representative': 508, 'size': 2}
-
id: 137380799
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 217, 'group_counter': 102, 'group_order': 1960, 'label': '35D16', 'order': 35, 'powers': [202, 215, 28, 10], 'representative': 1800, 'size': 2}
-
id: 137380800
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 218, 'group_counter': 102, 'group_order': 1960, 'label': '35D-16', 'order': 35, 'powers': [201, 216, 29, 10], 'representative': 188, 'size': 2}
-
id: 137380801
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 219, 'group_counter': 102, 'group_order': 1960, 'label': '35D17', 'order': 35, 'powers': [198, 217, 30, 9], 'representative': 1916, 'size': 2}
-
id: 137380803
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 220, 'group_counter': 102, 'group_order': 1960, 'label': '35D-17', 'order': 35, 'powers': [197, 218, 31, 9], 'representative': 72, 'size': 2}
-
id: 137380804
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 221, 'group_counter': 102, 'group_order': 1960, 'label': '35E1', 'order': 35, 'powers': [223, 225, 32, 9], 'representative': 60, 'size': 2}
-
id: 137380805
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 222, 'group_counter': 102, 'group_order': 1960, 'label': '35E-1', 'order': 35, 'powers': [224, 226, 33, 9], 'representative': 1928, 'size': 2}
-
id: 137380806
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 223, 'group_counter': 102, 'group_order': 1960, 'label': '35E2', 'order': 35, 'powers': [227, 229, 34, 10], 'representative': 120, 'size': 2}
-
id: 137380807
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 224, 'group_counter': 102, 'group_order': 1960, 'label': '35E-2', 'order': 35, 'powers': [228, 230, 35, 10], 'representative': 1868, 'size': 2}
-
id: 137380808
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 225, 'group_counter': 102, 'group_order': 1960, 'label': '35E3', 'order': 35, 'powers': [229, 233, 36, 10], 'representative': 180, 'size': 2}
-
id: 137380809
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 226, 'group_counter': 102, 'group_order': 1960, 'label': '35E-3', 'order': 35, 'powers': [230, 234, 37, 10], 'representative': 1808, 'size': 2}
-
id: 137380810
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 227, 'group_counter': 102, 'group_order': 1960, 'label': '35E4', 'order': 35, 'powers': [231, 237, 37, 9], 'representative': 240, 'size': 2}
-
id: 137380811
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 228, 'group_counter': 102, 'group_order': 1960, 'label': '35E-4', 'order': 35, 'powers': [232, 238, 36, 9], 'representative': 1748, 'size': 2}
-
id: 137380812
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 229, 'group_counter': 102, 'group_order': 1960, 'label': '35E6', 'order': 35, 'powers': [237, 244, 33, 9], 'representative': 360, 'size': 2}
-
id: 137380814
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 230, 'group_counter': 102, 'group_order': 1960, 'label': '35E-6', 'order': 35, 'powers': [238, 243, 32, 9], 'representative': 1628, 'size': 2}
-
id: 137380815
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 231, 'group_counter': 102, 'group_order': 1960, 'label': '35E8', 'order': 35, 'powers': [241, 236, 32, 10], 'representative': 452, 'size': 2}
-
id: 137380816
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 232, 'group_counter': 102, 'group_order': 1960, 'label': '35E-8', 'order': 35, 'powers': [242, 235, 33, 10], 'representative': 1536, 'size': 2}
-
id: 137380817
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 233, 'group_counter': 102, 'group_order': 1960, 'label': '35E9', 'order': 35, 'powers': [244, 232, 34, 9], 'representative': 512, 'size': 2}
-
id: 137380818
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 234, 'group_counter': 102, 'group_order': 1960, 'label': '35E-9', 'order': 35, 'powers': [243, 231, 35, 9], 'representative': 1476, 'size': 2}
-
id: 137380819
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 235, 'group_counter': 102, 'group_order': 1960, 'label': '35E11', 'order': 35, 'powers': [240, 224, 37, 9], 'representative': 632, 'size': 2}
-
id: 137380820
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 236, 'group_counter': 102, 'group_order': 1960, 'label': '35E-11', 'order': 35, 'powers': [239, 223, 36, 9], 'representative': 1356, 'size': 2}
-
id: 137380821
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 237, 'group_counter': 102, 'group_order': 1960, 'label': '35E12', 'order': 35, 'powers': [236, 221, 35, 10], 'representative': 692, 'size': 2}
-
id: 137380822
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 238, 'group_counter': 102, 'group_order': 1960, 'label': '35E-12', 'order': 35, 'powers': [235, 222, 34, 10], 'representative': 1296, 'size': 2}
-
id: 137380823
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 239, 'group_counter': 102, 'group_order': 1960, 'label': '35E13', 'order': 35, 'powers': [234, 227, 33, 10], 'representative': 752, 'size': 2}
-
id: 137380825
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 240, 'group_counter': 102, 'group_order': 1960, 'label': '35E-13', 'order': 35, 'powers': [233, 228, 32, 10], 'representative': 1236, 'size': 2}
-
id: 137380826
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 241, 'group_counter': 102, 'group_order': 1960, 'label': '35E16', 'order': 35, 'powers': [226, 239, 34, 9], 'representative': 904, 'size': 2}
-
id: 137380827
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 242, 'group_counter': 102, 'group_order': 1960, 'label': '35E-16', 'order': 35, 'powers': [225, 240, 35, 9], 'representative': 1084, 'size': 2}
-
id: 137380828
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 243, 'group_counter': 102, 'group_order': 1960, 'label': '35E17', 'order': 35, 'powers': [222, 241, 36, 10], 'representative': 964, 'size': 2}
-
id: 137380829
{'aut_label': '35C1', 'centralizer': '2.a1.a1', 'counter': 244, 'group_counter': 102, 'group_order': 1960, 'label': '35E-17', 'order': 35, 'powers': [221, 242, 37, 10], 'representative': 1024, 'size': 2}
-
id: 137380830
{'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 245, 'group_counter': 102, 'group_order': 1960, 'label': '70A1', 'order': 70, 'powers': [149, 246, 62, 38], 'representative': 28, 'size': 2}
-
id: 137380831
{'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 246, 'group_counter': 102, 'group_order': 1960, 'label': '70A3', 'order': 70, 'powers': [151, 247, 63, 39], 'representative': 84, 'size': 2}
-
id: 137380832
{'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 247, 'group_counter': 102, 'group_order': 1960, 'label': '70A9', 'order': 70, 'powers': [155, 253, 64, 38], 'representative': 252, 'size': 2}
-
id: 137380833
{'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 248, 'group_counter': 102, 'group_order': 1960, 'label': '70A11', 'order': 70, 'powers': [156, 256, 63, 38], 'representative': 308, 'size': 2}
-
id: 137380834
{'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 249, 'group_counter': 102, 'group_order': 1960, 'label': '70A13', 'order': 70, 'powers': [158, 255, 62, 39], 'representative': 364, 'size': 2}
-
id: 137380836
{'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 250, 'group_counter': 102, 'group_order': 1960, 'label': '70A17', 'order': 70, 'powers': [160, 251, 63, 39], 'representative': 476, 'size': 2}
-
id: 137380837
{'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 251, 'group_counter': 102, 'group_order': 1960, 'label': '70A19', 'order': 70, 'powers': [159, 249, 64, 38], 'representative': 1428, 'size': 2}
-
id: 137380838
{'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 252, 'group_counter': 102, 'group_order': 1960, 'label': '70A23', 'order': 70, 'powers': [157, 245, 64, 39], 'representative': 644, 'size': 2}
-
id: 137380839
{'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 253, 'group_counter': 102, 'group_order': 1960, 'label': '70A27', 'order': 70, 'powers': [154, 248, 62, 39], 'representative': 1204, 'size': 2}
-
id: 137380840
{'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 254, 'group_counter': 102, 'group_order': 1960, 'label': '70A29', 'order': 70, 'powers': [153, 250, 62, 38], 'representative': 1148, 'size': 2}
-
id: 137380841
{'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 255, 'group_counter': 102, 'group_order': 1960, 'label': '70A31', 'order': 70, 'powers': [152, 252, 63, 38], 'representative': 868, 'size': 2}
-
id: 137380842
{'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 256, 'group_counter': 102, 'group_order': 1960, 'label': '70A33', 'order': 70, 'powers': [150, 254, 64, 39], 'representative': 924, 'size': 2}
-
id: 137380843
{'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 257, 'group_counter': 102, 'group_order': 1960, 'label': '70B1', 'order': 70, 'powers': [161, 259, 50, 38], 'representative': 592, 'size': 2}
-
id: 137380844
{'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 258, 'group_counter': 102, 'group_order': 1960, 'label': '70B-1', 'order': 70, 'powers': [162, 260, 51, 38], 'representative': 612, 'size': 2}
-
id: 137380845
{'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 259, 'group_counter': 102, 'group_order': 1960, 'label': '70B3', 'order': 70, 'powers': [165, 261, 52, 39], 'representative': 208, 'size': 2}
-
id: 137380847
{'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 260, 'group_counter': 102, 'group_order': 1960, 'label': '70B-3', 'order': 70, 'powers': [166, 262, 53, 39], 'representative': 212, 'size': 2}
-
id: 137380848
{'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 261, 'group_counter': 102, 'group_order': 1960, 'label': '70B9', 'order': 70, 'powers': [171, 265, 55, 38], 'representative': 596, 'size': 2}
-
id: 137380849
{'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 262, 'group_counter': 102, 'group_order': 1960, 'label': '70B-9', 'order': 70, 'powers': [172, 266, 54, 38], 'representative': 608, 'size': 2}
-
id: 137380850
{'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 263, 'group_counter': 102, 'group_order': 1960, 'label': '70B11', 'order': 70, 'powers': [167, 268, 53, 38], 'representative': 604, 'size': 2}
-
id: 137380851
{'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 264, 'group_counter': 102, 'group_order': 1960, 'label': '70B-11', 'order': 70, 'powers': [168, 267, 52, 38], 'representative': 600, 'size': 2}
-
id: 137380852
{'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 265, 'group_counter': 102, 'group_order': 1960, 'label': '70B13', 'order': 70, 'powers': [170, 263, 51, 39], 'representative': 220, 'size': 2}
-
id: 137380853
{'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 266, 'group_counter': 102, 'group_order': 1960, 'label': '70B-13', 'order': 70, 'powers': [169, 264, 50, 39], 'representative': 200, 'size': 2}
-
id: 137380854
{'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 267, 'group_counter': 102, 'group_order': 1960, 'label': '70B23', 'order': 70, 'powers': [163, 258, 55, 39], 'representative': 204, 'size': 2}
-
id: 137380855
{'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 268, 'group_counter': 102, 'group_order': 1960, 'label': '70B-23', 'order': 70, 'powers': [164, 257, 54, 39], 'representative': 216, 'size': 2}
-
id: 137380856
{'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 269, 'group_counter': 102, 'group_order': 1960, 'label': '70C1', 'order': 70, 'powers': [167, 271, 48, 40], 'representative': 394, 'size': 2}
-
id: 137380858
{'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 270, 'group_counter': 102, 'group_order': 1960, 'label': '70C-1', 'order': 70, 'powers': [168, 272, 49, 40], 'representative': 418, 'size': 2}
-
id: 137380859
{'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 271, 'group_counter': 102, 'group_order': 1960, 'label': '70C3', 'order': 70, 'powers': [164, 273, 44, 41], 'representative': 1182, 'size': 2}
-
id: 137380860
{'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 272, 'group_counter': 102, 'group_order': 1960, 'label': '70C-3', 'order': 70, 'powers': [163, 274, 45, 41], 'representative': 1198, 'size': 2}
-
id: 137380861
{'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 273, 'group_counter': 102, 'group_order': 1960, 'label': '70C9', 'order': 70, 'powers': [161, 277, 46, 40], 'representative': 410, 'size': 2}
-
id: 137380862
{'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 274, 'group_counter': 102, 'group_order': 1960, 'label': '70C-9', 'order': 70, 'powers': [162, 278, 47, 40], 'representative': 402, 'size': 2}
-
id: 137380863
{'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 275, 'group_counter': 102, 'group_order': 1960, 'label': '70C11', 'order': 70, 'powers': [171, 280, 45, 40], 'representative': 414, 'size': 2}
-
id: 137380864
{'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 276, 'group_counter': 102, 'group_order': 1960, 'label': '70C-11', 'order': 70, 'powers': [172, 279, 44, 40], 'representative': 398, 'size': 2}
-
id: 137380865
{'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 277, 'group_counter': 102, 'group_order': 1960, 'label': '70C13', 'order': 70, 'powers': [165, 275, 49, 41], 'representative': 1202, 'size': 2}
-
id: 137380866
{'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 278, 'group_counter': 102, 'group_order': 1960, 'label': '70C-13', 'order': 70, 'powers': [166, 276, 48, 41], 'representative': 1178, 'size': 2}
-
id: 137380867
{'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 279, 'group_counter': 102, 'group_order': 1960, 'label': '70C23', 'order': 70, 'powers': [169, 270, 46, 41], 'representative': 1194, 'size': 2}
-
id: 137380869
{'aut_label': '70C1', 'centralizer': '2.a1.a1', 'counter': 280, 'group_counter': 102, 'group_order': 1960, 'label': '70C-23', 'order': 70, 'powers': [170, 269, 47, 41], 'representative': 1186, 'size': 2}
-
id: 137380870
{'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 281, 'group_counter': 102, 'group_order': 1960, 'label': '70D1', 'order': 70, 'powers': [167, 283, 56, 42], 'representative': 590, 'size': 2}
-
id: 137380871
{'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 282, 'group_counter': 102, 'group_order': 1960, 'label': '70D-1', 'order': 70, 'powers': [168, 284, 57, 42], 'representative': 614, 'size': 2}
-
id: 137380872
{'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 283, 'group_counter': 102, 'group_order': 1960, 'label': '70D3', 'order': 70, 'powers': [164, 285, 58, 43], 'representative': 202, 'size': 2}
-
id: 137380873
{'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 284, 'group_counter': 102, 'group_order': 1960, 'label': '70D-3', 'order': 70, 'powers': [163, 286, 59, 43], 'representative': 218, 'size': 2}
-
id: 137380874
{'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 285, 'group_counter': 102, 'group_order': 1960, 'label': '70D9', 'order': 70, 'powers': [161, 289, 61, 42], 'representative': 606, 'size': 2}
-
id: 137380875
{'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 286, 'group_counter': 102, 'group_order': 1960, 'label': '70D-9', 'order': 70, 'powers': [162, 290, 60, 42], 'representative': 598, 'size': 2}
-
id: 137380876
{'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 287, 'group_counter': 102, 'group_order': 1960, 'label': '70D11', 'order': 70, 'powers': [171, 292, 59, 42], 'representative': 610, 'size': 2}
-
id: 137380877
{'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 288, 'group_counter': 102, 'group_order': 1960, 'label': '70D-11', 'order': 70, 'powers': [172, 291, 58, 42], 'representative': 594, 'size': 2}
-
id: 137380878
{'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 289, 'group_counter': 102, 'group_order': 1960, 'label': '70D13', 'order': 70, 'powers': [165, 287, 57, 43], 'representative': 222, 'size': 2}
-
id: 137380880
{'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 290, 'group_counter': 102, 'group_order': 1960, 'label': '70D-13', 'order': 70, 'powers': [166, 288, 56, 43], 'representative': 198, 'size': 2}
-
id: 137380881
{'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 291, 'group_counter': 102, 'group_order': 1960, 'label': '70D23', 'order': 70, 'powers': [169, 282, 61, 43], 'representative': 214, 'size': 2}
-
id: 137380882
{'aut_label': '70B1', 'centralizer': '2.a1.a1', 'counter': 292, 'group_counter': 102, 'group_order': 1960, 'label': '70D-23', 'order': 70, 'powers': [170, 281, 60, 43], 'representative': 206, 'size': 2}
-
id: 137380883
{'aut_label': '70E1', 'centralizer': '2.a1.a1', 'counter': 293, 'group_counter': 102, 'group_order': 1960, 'label': '70E1', 'order': 70, 'powers': [150, 294, 65, 41], 'representative': 70, 'size': 2}
-
id: 137380884
{'aut_label': '70E1', 'centralizer': '2.a1.a1', 'counter': 294, 'group_counter': 102, 'group_order': 1960, 'label': '70E3', 'order': 70, 'powers': [153, 295, 66, 40], 'representative': 182, 'size': 2}
-
id: 137380885
{'aut_label': '70E1', 'centralizer': '2.a1.a1', 'counter': 295, 'group_counter': 102, 'group_order': 1960, 'label': '70E9', 'order': 70, 'powers': [160, 301, 67, 41], 'representative': 518, 'size': 2}
-
id: 137380886
{'aut_label': '70E1', 'centralizer': '2.a1.a1', 'counter': 296, 'group_counter': 102, 'group_order': 1960, 'label': '70E11', 'order': 70, 'powers': [158, 304, 66, 41], 'representative': 630, 'size': 2}
-
id: 137380887
{'aut_label': '70E1', 'centralizer': '2.a1.a1', 'counter': 297, 'group_counter': 102, 'group_order': 1960, 'label': '70E13', 'order': 70, 'powers': [155, 303, 65, 40], 'representative': 742, 'size': 2}
-
id: 137380888
{'aut_label': '70E1', 'centralizer': '2.a1.a1', 'counter': 298, 'group_counter': 102, 'group_order': 1960, 'label': '70E17', 'order': 70, 'powers': [149, 299, 66, 40], 'representative': 966, 'size': 2}
-
id: 137380889
{'aut_label': '70E1', 'centralizer': '2.a1.a1', 'counter': 299, 'group_counter': 102, 'group_order': 1960, 'label': '70E19', 'order': 70, 'powers': [151, 297, 67, 41], 'representative': 910, 'size': 2}
-
id: 137380892
{'aut_label': '70E1', 'centralizer': '2.a1.a1', 'counter': 300, 'group_counter': 102, 'group_order': 1960, 'label': '70E23', 'order': 70, 'powers': [156, 293, 67, 40], 'representative': 686, 'size': 2}
-
id: 137380893
{'aut_label': '70E1', 'centralizer': '2.a1.a1', 'counter': 301, 'group_counter': 102, 'group_order': 1960, 'label': '70E27', 'order': 70, 'powers': [159, 296, 65, 40], 'representative': 462, 'size': 2}
-
id: 137380894
{'aut_label': '70E1', 'centralizer': '2.a1.a1', 'counter': 302, 'group_counter': 102, 'group_order': 1960, 'label': '70E29', 'order': 70, 'powers': [157, 298, 65, 41], 'representative': 350, 'size': 2}
-
id: 137380895
{'aut_label': '70E1', 'centralizer': '2.a1.a1', 'counter': 303, 'group_counter': 102, 'group_order': 1960, 'label': '70E31', 'order': 70, 'powers': [154, 300, 66, 41], 'representative': 238, 'size': 2}
-
id: 137380896
{'aut_label': '70E1', 'centralizer': '2.a1.a1', 'counter': 304, 'group_counter': 102, 'group_order': 1960, 'label': '70E33', 'order': 70, 'powers': [152, 302, 67, 40], 'representative': 126, 'size': 2}
-
id: 137380897
{'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 305, 'group_counter': 102, 'group_order': 1960, 'label': '70F1', 'order': 70, 'powers': [149, 306, 68, 42], 'representative': 42, 'size': 2}
-
id: 137380898
{'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 306, 'group_counter': 102, 'group_order': 1960, 'label': '70F3', 'order': 70, 'powers': [151, 307, 69, 43], 'representative': 98, 'size': 2}
-
id: 137380899
{'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 307, 'group_counter': 102, 'group_order': 1960, 'label': '70F9', 'order': 70, 'powers': [155, 313, 70, 42], 'representative': 266, 'size': 2}
-
id: 137380900
{'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 308, 'group_counter': 102, 'group_order': 1960, 'label': '70F11', 'order': 70, 'powers': [156, 316, 69, 42], 'representative': 322, 'size': 2}
-
id: 137380901
{'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 309, 'group_counter': 102, 'group_order': 1960, 'label': '70F13', 'order': 70, 'powers': [158, 315, 68, 43], 'representative': 378, 'size': 2}
-
id: 137380903
{'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 310, 'group_counter': 102, 'group_order': 1960, 'label': '70F17', 'order': 70, 'powers': [160, 311, 69, 43], 'representative': 490, 'size': 2}
-
id: 137380904
{'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 311, 'group_counter': 102, 'group_order': 1960, 'label': '70F19', 'order': 70, 'powers': [159, 309, 70, 42], 'representative': 1442, 'size': 2}
-
id: 137380905
{'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 312, 'group_counter': 102, 'group_order': 1960, 'label': '70F23', 'order': 70, 'powers': [157, 305, 70, 43], 'representative': 658, 'size': 2}
-
id: 137380906
{'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 313, 'group_counter': 102, 'group_order': 1960, 'label': '70F27', 'order': 70, 'powers': [154, 308, 68, 43], 'representative': 1218, 'size': 2}
-
id: 137380907
{'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 314, 'group_counter': 102, 'group_order': 1960, 'label': '70F29', 'order': 70, 'powers': [153, 310, 68, 42], 'representative': 1162, 'size': 2}
-
id: 137380908
{'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 315, 'group_counter': 102, 'group_order': 1960, 'label': '70F31', 'order': 70, 'powers': [152, 312, 69, 42], 'representative': 882, 'size': 2}
-
id: 137380909
{'aut_label': '70A1', 'centralizer': '2.a1.a1', 'counter': 316, 'group_counter': 102, 'group_order': 1960, 'label': '70F33', 'order': 70, 'powers': [150, 314, 70, 43], 'representative': 938, 'size': 2}
-
id: 137380910
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 317, 'group_counter': 102, 'group_order': 1960, 'label': '70G1', 'order': 70, 'powers': [173, 319, 71, 38], 'representative': 32, 'size': 2}
-
id: 137380911
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 318, 'group_counter': 102, 'group_order': 1960, 'label': '70G-1', 'order': 70, 'powers': [174, 320, 72, 38], 'representative': 52, 'size': 2}
-
id: 137380912
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 319, 'group_counter': 102, 'group_order': 1960, 'label': '70G3', 'order': 70, 'powers': [177, 321, 73, 39], 'representative': 96, 'size': 2}
-
id: 137380914
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 320, 'group_counter': 102, 'group_order': 1960, 'label': '70G-3', 'order': 70, 'powers': [178, 322, 74, 39], 'representative': 100, 'size': 2}
-
id: 137380915
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 321, 'group_counter': 102, 'group_order': 1960, 'label': '70G9', 'order': 70, 'powers': [185, 333, 76, 38], 'representative': 260, 'size': 2}
-
id: 137380916
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 322, 'group_counter': 102, 'group_order': 1960, 'label': '70G-9', 'order': 70, 'powers': [186, 334, 75, 38], 'representative': 272, 'size': 2}
-
id: 137380917
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 323, 'group_counter': 102, 'group_order': 1960, 'label': '70G11', 'order': 70, 'powers': [187, 339, 74, 38], 'representative': 324, 'size': 2}
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id: 137380918
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 324, 'group_counter': 102, 'group_order': 1960, 'label': '70G-11', 'order': 70, 'powers': [188, 340, 73, 38], 'representative': 320, 'size': 2}
-
id: 137380919
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 325, 'group_counter': 102, 'group_order': 1960, 'label': '70G13', 'order': 70, 'powers': [191, 338, 72, 39], 'representative': 388, 'size': 2}
-
id: 137380920
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 326, 'group_counter': 102, 'group_order': 1960, 'label': '70G-13', 'order': 70, 'powers': [192, 337, 71, 39], 'representative': 368, 'size': 2}
-
id: 137380921
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 327, 'group_counter': 102, 'group_order': 1960, 'label': '70G17', 'order': 70, 'powers': [195, 330, 73, 39], 'representative': 488, 'size': 2}
-
id: 137380922
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 328, 'group_counter': 102, 'group_order': 1960, 'label': '70G-17', 'order': 70, 'powers': [196, 329, 74, 39], 'representative': 492, 'size': 2}
-
id: 137380923
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 329, 'group_counter': 102, 'group_order': 1960, 'label': '70G19', 'order': 70, 'powers': [194, 326, 75, 38], 'representative': 1448, 'size': 2}
-
id: 137380925
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 330, 'group_counter': 102, 'group_order': 1960, 'label': '70G-19', 'order': 70, 'powers': [193, 325, 76, 38], 'representative': 1436, 'size': 2}
-
id: 137380926
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 331, 'group_counter': 102, 'group_order': 1960, 'label': '70G23', 'order': 70, 'powers': [190, 318, 76, 39], 'representative': 652, 'size': 2}
-
id: 137380927
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 332, 'group_counter': 102, 'group_order': 1960, 'label': '70G-23', 'order': 70, 'powers': [189, 317, 75, 39], 'representative': 664, 'size': 2}
-
id: 137380928
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 333, 'group_counter': 102, 'group_order': 1960, 'label': '70G27', 'order': 70, 'powers': [184, 323, 72, 39], 'representative': 1228, 'size': 2}
-
id: 137380929
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 334, 'group_counter': 102, 'group_order': 1960, 'label': '70G-27', 'order': 70, 'powers': [183, 324, 71, 39], 'representative': 1208, 'size': 2}
-
id: 137380930
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 335, 'group_counter': 102, 'group_order': 1960, 'label': '70G29', 'order': 70, 'powers': [182, 327, 71, 38], 'representative': 1152, 'size': 2}
-
id: 137380931
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 336, 'group_counter': 102, 'group_order': 1960, 'label': '70G-29', 'order': 70, 'powers': [181, 328, 72, 38], 'representative': 1172, 'size': 2}
-
id: 137380932
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 337, 'group_counter': 102, 'group_order': 1960, 'label': '70G31', 'order': 70, 'powers': [180, 331, 73, 38], 'representative': 880, 'size': 2}
-
id: 137380933
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 338, 'group_counter': 102, 'group_order': 1960, 'label': '70G-31', 'order': 70, 'powers': [179, 332, 74, 38], 'representative': 884, 'size': 2}
-
id: 137380934
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 339, 'group_counter': 102, 'group_order': 1960, 'label': '70G33', 'order': 70, 'powers': [176, 335, 75, 39], 'representative': 944, 'size': 2}
-
id: 137380936
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 340, 'group_counter': 102, 'group_order': 1960, 'label': '70G-33', 'order': 70, 'powers': [175, 336, 76, 39], 'representative': 932, 'size': 2}
-
id: 137380937
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 341, 'group_counter': 102, 'group_order': 1960, 'label': '70H1', 'order': 70, 'powers': [197, 343, 77, 41], 'representative': 58, 'size': 2}
-
id: 137380938
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 342, 'group_counter': 102, 'group_order': 1960, 'label': '70H-1', 'order': 70, 'powers': [198, 344, 78, 41], 'representative': 82, 'size': 2}
-
id: 137380939
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 343, 'group_counter': 102, 'group_order': 1960, 'label': '70H3', 'order': 70, 'powers': [201, 345, 79, 40], 'representative': 174, 'size': 2}
-
id: 137380940
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 344, 'group_counter': 102, 'group_order': 1960, 'label': '70H-3', 'order': 70, 'powers': [202, 346, 80, 40], 'representative': 190, 'size': 2}
-
id: 137380941
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 345, 'group_counter': 102, 'group_order': 1960, 'label': '70H9', 'order': 70, 'powers': [209, 357, 82, 41], 'representative': 522, 'size': 2}
-
id: 137380942
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 346, 'group_counter': 102, 'group_order': 1960, 'label': '70H-9', 'order': 70, 'powers': [210, 358, 81, 41], 'representative': 514, 'size': 2}
-
id: 137380943
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 347, 'group_counter': 102, 'group_order': 1960, 'label': '70H11', 'order': 70, 'powers': [211, 363, 80, 41], 'representative': 638, 'size': 2}
-
id: 137380944
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 348, 'group_counter': 102, 'group_order': 1960, 'label': '70H-11', 'order': 70, 'powers': [212, 364, 79, 41], 'representative': 622, 'size': 2}
-
id: 137380945
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 349, 'group_counter': 102, 'group_order': 1960, 'label': '70H13', 'order': 70, 'powers': [215, 362, 78, 40], 'representative': 754, 'size': 2}
-
id: 137380947
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 350, 'group_counter': 102, 'group_order': 1960, 'label': '70H-13', 'order': 70, 'powers': [216, 361, 77, 40], 'representative': 730, 'size': 2}
-
id: 137380948
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 351, 'group_counter': 102, 'group_order': 1960, 'label': '70H17', 'order': 70, 'powers': [219, 354, 79, 40], 'representative': 958, 'size': 2}
-
id: 137380949
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 352, 'group_counter': 102, 'group_order': 1960, 'label': '70H-17', 'order': 70, 'powers': [220, 353, 80, 40], 'representative': 974, 'size': 2}
-
id: 137380950
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 353, 'group_counter': 102, 'group_order': 1960, 'label': '70H19', 'order': 70, 'powers': [218, 350, 81, 41], 'representative': 906, 'size': 2}
-
id: 137380951
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 354, 'group_counter': 102, 'group_order': 1960, 'label': '70H-19', 'order': 70, 'powers': [217, 349, 82, 41], 'representative': 914, 'size': 2}
-
id: 137380952
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 355, 'group_counter': 102, 'group_order': 1960, 'label': '70H23', 'order': 70, 'powers': [214, 342, 82, 40], 'representative': 690, 'size': 2}
-
id: 137380953
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 356, 'group_counter': 102, 'group_order': 1960, 'label': '70H-23', 'order': 70, 'powers': [213, 341, 81, 40], 'representative': 682, 'size': 2}
-
id: 137380954
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 357, 'group_counter': 102, 'group_order': 1960, 'label': '70H27', 'order': 70, 'powers': [208, 347, 78, 40], 'representative': 474, 'size': 2}
-
id: 137380955
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 358, 'group_counter': 102, 'group_order': 1960, 'label': '70H-27', 'order': 70, 'powers': [207, 348, 77, 40], 'representative': 450, 'size': 2}
-
id: 137380956
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 359, 'group_counter': 102, 'group_order': 1960, 'label': '70H29', 'order': 70, 'powers': [206, 351, 77, 41], 'representative': 338, 'size': 2}
-
id: 137380958
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 360, 'group_counter': 102, 'group_order': 1960, 'label': '70H-29', 'order': 70, 'powers': [205, 352, 78, 41], 'representative': 362, 'size': 2}
-
id: 137380959
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 361, 'group_counter': 102, 'group_order': 1960, 'label': '70H31', 'order': 70, 'powers': [204, 355, 79, 41], 'representative': 230, 'size': 2}
-
id: 137380960
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 362, 'group_counter': 102, 'group_order': 1960, 'label': '70H-31', 'order': 70, 'powers': [203, 356, 80, 41], 'representative': 246, 'size': 2}
-
id: 137380961
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 363, 'group_counter': 102, 'group_order': 1960, 'label': '70H33', 'order': 70, 'powers': [200, 359, 81, 40], 'representative': 122, 'size': 2}
-
id: 137380962
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 364, 'group_counter': 102, 'group_order': 1960, 'label': '70H-33', 'order': 70, 'powers': [199, 360, 82, 40], 'representative': 130, 'size': 2}
-
id: 137380963
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 365, 'group_counter': 102, 'group_order': 1960, 'label': '70I1', 'order': 70, 'powers': [221, 367, 83, 42], 'representative': 30, 'size': 2}
-
id: 137380964
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 366, 'group_counter': 102, 'group_order': 1960, 'label': '70I-1', 'order': 70, 'powers': [222, 368, 84, 42], 'representative': 54, 'size': 2}
-
id: 137380965
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 367, 'group_counter': 102, 'group_order': 1960, 'label': '70I3', 'order': 70, 'powers': [225, 369, 85, 43], 'representative': 90, 'size': 2}
-
id: 137380966
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 368, 'group_counter': 102, 'group_order': 1960, 'label': '70I-3', 'order': 70, 'powers': [226, 370, 86, 43], 'representative': 106, 'size': 2}
-
id: 137380967
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 369, 'group_counter': 102, 'group_order': 1960, 'label': '70I9', 'order': 70, 'powers': [233, 381, 88, 42], 'representative': 270, 'size': 2}
-
id: 137380969
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 370, 'group_counter': 102, 'group_order': 1960, 'label': '70I-9', 'order': 70, 'powers': [234, 382, 87, 42], 'representative': 262, 'size': 2}
-
id: 137380970
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 371, 'group_counter': 102, 'group_order': 1960, 'label': '70I11', 'order': 70, 'powers': [235, 387, 86, 42], 'representative': 330, 'size': 2}
-
id: 137380971
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 372, 'group_counter': 102, 'group_order': 1960, 'label': '70I-11', 'order': 70, 'powers': [236, 388, 85, 42], 'representative': 314, 'size': 2}
-
id: 137380972
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 373, 'group_counter': 102, 'group_order': 1960, 'label': '70I13', 'order': 70, 'powers': [239, 386, 84, 43], 'representative': 390, 'size': 2}
-
id: 137380973
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 374, 'group_counter': 102, 'group_order': 1960, 'label': '70I-13', 'order': 70, 'powers': [240, 385, 83, 43], 'representative': 366, 'size': 2}
-
id: 137380974
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 375, 'group_counter': 102, 'group_order': 1960, 'label': '70I17', 'order': 70, 'powers': [243, 378, 85, 43], 'representative': 482, 'size': 2}
-
id: 137380975
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 376, 'group_counter': 102, 'group_order': 1960, 'label': '70I-17', 'order': 70, 'powers': [244, 377, 86, 43], 'representative': 498, 'size': 2}
-
id: 137380976
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 377, 'group_counter': 102, 'group_order': 1960, 'label': '70I19', 'order': 70, 'powers': [242, 374, 87, 42], 'representative': 1438, 'size': 2}
-
id: 137380977
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 378, 'group_counter': 102, 'group_order': 1960, 'label': '70I-19', 'order': 70, 'powers': [241, 373, 88, 42], 'representative': 1446, 'size': 2}
-
id: 137380978
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 379, 'group_counter': 102, 'group_order': 1960, 'label': '70I23', 'order': 70, 'powers': [238, 366, 88, 43], 'representative': 662, 'size': 2}
-
id: 137380980
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 380, 'group_counter': 102, 'group_order': 1960, 'label': '70I-23', 'order': 70, 'powers': [237, 365, 87, 43], 'representative': 654, 'size': 2}
-
id: 137380981
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 381, 'group_counter': 102, 'group_order': 1960, 'label': '70I27', 'order': 70, 'powers': [232, 371, 84, 43], 'representative': 1230, 'size': 2}
-
id: 137380982
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 382, 'group_counter': 102, 'group_order': 1960, 'label': '70I-27', 'order': 70, 'powers': [231, 372, 83, 43], 'representative': 1206, 'size': 2}
-
id: 137380983
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 383, 'group_counter': 102, 'group_order': 1960, 'label': '70I29', 'order': 70, 'powers': [230, 375, 83, 42], 'representative': 1150, 'size': 2}
-
id: 137380984
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 384, 'group_counter': 102, 'group_order': 1960, 'label': '70I-29', 'order': 70, 'powers': [229, 376, 84, 42], 'representative': 1174, 'size': 2}
-
id: 137380985
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 385, 'group_counter': 102, 'group_order': 1960, 'label': '70I31', 'order': 70, 'powers': [228, 379, 85, 42], 'representative': 874, 'size': 2}
-
id: 137380986
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 386, 'group_counter': 102, 'group_order': 1960, 'label': '70I-31', 'order': 70, 'powers': [227, 380, 86, 42], 'representative': 890, 'size': 2}
-
id: 137380987
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 387, 'group_counter': 102, 'group_order': 1960, 'label': '70I33', 'order': 70, 'powers': [224, 383, 87, 43], 'representative': 934, 'size': 2}
-
id: 137380988
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 388, 'group_counter': 102, 'group_order': 1960, 'label': '70I-33', 'order': 70, 'powers': [223, 384, 88, 43], 'representative': 942, 'size': 2}
-
id: 137380989
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 389, 'group_counter': 102, 'group_order': 1960, 'label': '70J1', 'order': 70, 'powers': [220, 391, 89, 38], 'representative': 36, 'size': 2}
-
id: 137380991
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 390, 'group_counter': 102, 'group_order': 1960, 'label': '70J-1', 'order': 70, 'powers': [219, 392, 90, 38], 'representative': 48, 'size': 2}
-
id: 137380992
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 391, 'group_counter': 102, 'group_order': 1960, 'label': '70J3', 'order': 70, 'powers': [218, 393, 91, 39], 'representative': 108, 'size': 2}
-
id: 137380993
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 392, 'group_counter': 102, 'group_order': 1960, 'label': '70J-3', 'order': 70, 'powers': [217, 394, 92, 39], 'representative': 88, 'size': 2}
-
id: 137380994
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 393, 'group_counter': 102, 'group_order': 1960, 'label': '70J9', 'order': 70, 'powers': [216, 405, 94, 38], 'representative': 268, 'size': 2}
-
id: 137380995
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 394, 'group_counter': 102, 'group_order': 1960, 'label': '70J-9', 'order': 70, 'powers': [215, 406, 93, 38], 'representative': 264, 'size': 2}
-
id: 137380996
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 395, 'group_counter': 102, 'group_order': 1960, 'label': '70J11', 'order': 70, 'powers': [214, 411, 92, 38], 'representative': 312, 'size': 2}
-
id: 137380997
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 396, 'group_counter': 102, 'group_order': 1960, 'label': '70J-11', 'order': 70, 'powers': [213, 412, 91, 38], 'representative': 332, 'size': 2}
-
id: 137380998
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 397, 'group_counter': 102, 'group_order': 1960, 'label': '70J13', 'order': 70, 'powers': [212, 410, 90, 39], 'representative': 384, 'size': 2}
-
id: 137380999
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 398, 'group_counter': 102, 'group_order': 1960, 'label': '70J-13', 'order': 70, 'powers': [211, 409, 89, 39], 'representative': 372, 'size': 2}
-
id: 137381000
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 399, 'group_counter': 102, 'group_order': 1960, 'label': '70J17', 'order': 70, 'powers': [210, 402, 91, 39], 'representative': 500, 'size': 2}
-
id: 137381003
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 400, 'group_counter': 102, 'group_order': 1960, 'label': '70J-17', 'order': 70, 'powers': [209, 401, 92, 39], 'representative': 480, 'size': 2}
-
id: 137381004
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 401, 'group_counter': 102, 'group_order': 1960, 'label': '70J19', 'order': 70, 'powers': [208, 398, 93, 38], 'representative': 1440, 'size': 2}
-
id: 137381005
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 402, 'group_counter': 102, 'group_order': 1960, 'label': '70J-19', 'order': 70, 'powers': [207, 397, 94, 38], 'representative': 1444, 'size': 2}
-
id: 137381006
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 403, 'group_counter': 102, 'group_order': 1960, 'label': '70J23', 'order': 70, 'powers': [206, 390, 94, 39], 'representative': 660, 'size': 2}
-
id: 137381007
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 404, 'group_counter': 102, 'group_order': 1960, 'label': '70J-23', 'order': 70, 'powers': [205, 389, 93, 39], 'representative': 656, 'size': 2}
-
id: 137381008
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 405, 'group_counter': 102, 'group_order': 1960, 'label': '70J27', 'order': 70, 'powers': [204, 395, 90, 39], 'representative': 1224, 'size': 2}
-
id: 137381009
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 406, 'group_counter': 102, 'group_order': 1960, 'label': '70J-27', 'order': 70, 'powers': [203, 396, 89, 39], 'representative': 1212, 'size': 2}
-
id: 137381010
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 407, 'group_counter': 102, 'group_order': 1960, 'label': '70J29', 'order': 70, 'powers': [202, 399, 89, 38], 'representative': 1156, 'size': 2}
-
id: 137381011
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 408, 'group_counter': 102, 'group_order': 1960, 'label': '70J-29', 'order': 70, 'powers': [201, 400, 90, 38], 'representative': 1168, 'size': 2}
-
id: 137381012
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 409, 'group_counter': 102, 'group_order': 1960, 'label': '70J31', 'order': 70, 'powers': [200, 403, 91, 38], 'representative': 892, 'size': 2}
-
id: 137381014
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 410, 'group_counter': 102, 'group_order': 1960, 'label': '70J-31', 'order': 70, 'powers': [199, 404, 92, 38], 'representative': 872, 'size': 2}
-
id: 137381015
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 411, 'group_counter': 102, 'group_order': 1960, 'label': '70J33', 'order': 70, 'powers': [198, 407, 93, 39], 'representative': 936, 'size': 2}
-
id: 137381016
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 412, 'group_counter': 102, 'group_order': 1960, 'label': '70J-33', 'order': 70, 'powers': [197, 408, 94, 39], 'representative': 940, 'size': 2}
-
id: 137381017
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 413, 'group_counter': 102, 'group_order': 1960, 'label': '70K1', 'order': 70, 'powers': [179, 415, 95, 40], 'representative': 114, 'size': 2}
-
id: 137381018
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 414, 'group_counter': 102, 'group_order': 1960, 'label': '70K-1', 'order': 70, 'powers': [180, 416, 96, 40], 'representative': 138, 'size': 2}
-
id: 137381019
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 415, 'group_counter': 102, 'group_order': 1960, 'label': '70K3', 'order': 70, 'powers': [189, 417, 97, 41], 'representative': 342, 'size': 2}
-
id: 137381020
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 416, 'group_counter': 102, 'group_order': 1960, 'label': '70K-3', 'order': 70, 'powers': [190, 418, 98, 41], 'representative': 358, 'size': 2}
-
id: 137381021
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 417, 'group_counter': 102, 'group_order': 1960, 'label': '70K9', 'order': 70, 'powers': [173, 429, 100, 40], 'representative': 970, 'size': 2}
-
id: 137381022
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 418, 'group_counter': 102, 'group_order': 1960, 'label': '70K-9', 'order': 70, 'powers': [174, 430, 99, 40], 'representative': 962, 'size': 2}
-
id: 137381023
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 419, 'group_counter': 102, 'group_order': 1960, 'label': '70K11', 'order': 70, 'powers': [185, 435, 98, 40], 'representative': 750, 'size': 2}
-
id: 137381025
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 420, 'group_counter': 102, 'group_order': 1960, 'label': '70K-11', 'order': 70, 'powers': [186, 436, 97, 40], 'representative': 734, 'size': 2}
-
id: 137381026
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 421, 'group_counter': 102, 'group_order': 1960, 'label': '70K13', 'order': 70, 'powers': [195, 434, 96, 41], 'representative': 530, 'size': 2}
-
id: 137381027
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 422, 'group_counter': 102, 'group_order': 1960, 'label': '70K-13', 'order': 70, 'powers': [196, 433, 95, 41], 'representative': 506, 'size': 2}
-
id: 137381028
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 423, 'group_counter': 102, 'group_order': 1960, 'label': '70K17', 'order': 70, 'powers': [176, 426, 97, 41], 'representative': 62, 'size': 2}
-
id: 137381029
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 424, 'group_counter': 102, 'group_order': 1960, 'label': '70K-17', 'order': 70, 'powers': [175, 425, 98, 41], 'representative': 78, 'size': 2}
-
id: 137381030
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 425, 'group_counter': 102, 'group_order': 1960, 'label': '70K19', 'order': 70, 'powers': [181, 422, 99, 40], 'representative': 178, 'size': 2}
-
id: 137381031
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 426, 'group_counter': 102, 'group_order': 1960, 'label': '70K-19', 'order': 70, 'powers': [182, 421, 100, 40], 'representative': 186, 'size': 2}
-
id: 137381032
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 427, 'group_counter': 102, 'group_order': 1960, 'label': '70K23', 'order': 70, 'powers': [192, 414, 100, 41], 'representative': 634, 'size': 2}
-
id: 137381033
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 428, 'group_counter': 102, 'group_order': 1960, 'label': '70K-23', 'order': 70, 'powers': [191, 413, 99, 41], 'representative': 626, 'size': 2}
-
id: 137381034
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 429, 'group_counter': 102, 'group_order': 1960, 'label': '70K27', 'order': 70, 'powers': [177, 419, 96, 41], 'representative': 922, 'size': 2}
-
id: 137381036
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 430, 'group_counter': 102, 'group_order': 1960, 'label': '70K-27', 'order': 70, 'powers': [178, 420, 95, 41], 'representative': 898, 'size': 2}
-
id: 137381037
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 431, 'group_counter': 102, 'group_order': 1960, 'label': '70K29', 'order': 70, 'powers': [187, 423, 95, 40], 'representative': 674, 'size': 2}
-
id: 137381038
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 432, 'group_counter': 102, 'group_order': 1960, 'label': '70K-29', 'order': 70, 'powers': [188, 424, 96, 40], 'representative': 698, 'size': 2}
-
id: 137381039
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 433, 'group_counter': 102, 'group_order': 1960, 'label': '70K31', 'order': 70, 'powers': [194, 427, 97, 40], 'representative': 454, 'size': 2}
-
id: 137381040
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 434, 'group_counter': 102, 'group_order': 1960, 'label': '70K-31', 'order': 70, 'powers': [193, 428, 98, 40], 'representative': 470, 'size': 2}
-
id: 137381041
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 435, 'group_counter': 102, 'group_order': 1960, 'label': '70K33', 'order': 70, 'powers': [184, 431, 99, 41], 'representative': 234, 'size': 2}
-
id: 137381042
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 436, 'group_counter': 102, 'group_order': 1960, 'label': '70K-33', 'order': 70, 'powers': [183, 432, 100, 41], 'representative': 242, 'size': 2}
-
id: 137381043
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 437, 'group_counter': 102, 'group_order': 1960, 'label': '70L1', 'order': 70, 'powers': [222, 439, 101, 38], 'representative': 40, 'size': 2}
-
id: 137381044
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 438, 'group_counter': 102, 'group_order': 1960, 'label': '70L-1', 'order': 70, 'powers': [221, 440, 102, 38], 'representative': 44, 'size': 2}
-
id: 137381045
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 439, 'group_counter': 102, 'group_order': 1960, 'label': '70L3', 'order': 70, 'powers': [226, 441, 103, 39], 'representative': 92, 'size': 2}
-
id: 137381047
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 440, 'group_counter': 102, 'group_order': 1960, 'label': '70L-3', 'order': 70, 'powers': [225, 442, 104, 39], 'representative': 104, 'size': 2}
-
id: 137381048
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 441, 'group_counter': 102, 'group_order': 1960, 'label': '70L9', 'order': 70, 'powers': [234, 453, 106, 38], 'representative': 276, 'size': 2}
-
id: 137381049
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 442, 'group_counter': 102, 'group_order': 1960, 'label': '70L-9', 'order': 70, 'powers': [233, 454, 105, 38], 'representative': 256, 'size': 2}
-
id: 137381050
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 443, 'group_counter': 102, 'group_order': 1960, 'label': '70L11', 'order': 70, 'powers': [236, 459, 104, 38], 'representative': 328, 'size': 2}
-
id: 137381051
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 444, 'group_counter': 102, 'group_order': 1960, 'label': '70L-11', 'order': 70, 'powers': [235, 460, 103, 38], 'representative': 316, 'size': 2}
-
id: 137381052
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 445, 'group_counter': 102, 'group_order': 1960, 'label': '70L13', 'order': 70, 'powers': [240, 458, 102, 39], 'representative': 380, 'size': 2}
-
id: 137381053
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 446, 'group_counter': 102, 'group_order': 1960, 'label': '70L-13', 'order': 70, 'powers': [239, 457, 101, 39], 'representative': 376, 'size': 2}
-
id: 137381054
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 447, 'group_counter': 102, 'group_order': 1960, 'label': '70L17', 'order': 70, 'powers': [244, 450, 103, 39], 'representative': 484, 'size': 2}
-
id: 137381055
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 448, 'group_counter': 102, 'group_order': 1960, 'label': '70L-17', 'order': 70, 'powers': [243, 449, 104, 39], 'representative': 496, 'size': 2}
-
id: 137381056
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 449, 'group_counter': 102, 'group_order': 1960, 'label': '70L19', 'order': 70, 'powers': [241, 446, 105, 38], 'representative': 1432, 'size': 2}
-
id: 137381058
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 450, 'group_counter': 102, 'group_order': 1960, 'label': '70L-19', 'order': 70, 'powers': [242, 445, 106, 38], 'representative': 1452, 'size': 2}
-
id: 137381059
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 451, 'group_counter': 102, 'group_order': 1960, 'label': '70L23', 'order': 70, 'powers': [237, 438, 106, 39], 'representative': 668, 'size': 2}
-
id: 137381060
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 452, 'group_counter': 102, 'group_order': 1960, 'label': '70L-23', 'order': 70, 'powers': [238, 437, 105, 39], 'representative': 648, 'size': 2}
-
id: 137381061
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 453, 'group_counter': 102, 'group_order': 1960, 'label': '70L27', 'order': 70, 'powers': [231, 443, 102, 39], 'representative': 1220, 'size': 2}
-
id: 137381062
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 454, 'group_counter': 102, 'group_order': 1960, 'label': '70L-27', 'order': 70, 'powers': [232, 444, 101, 39], 'representative': 1216, 'size': 2}
-
id: 137381063
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 455, 'group_counter': 102, 'group_order': 1960, 'label': '70L29', 'order': 70, 'powers': [229, 447, 101, 38], 'representative': 1160, 'size': 2}
-
id: 137381064
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 456, 'group_counter': 102, 'group_order': 1960, 'label': '70L-29', 'order': 70, 'powers': [230, 448, 102, 38], 'representative': 1164, 'size': 2}
-
id: 137381065
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 457, 'group_counter': 102, 'group_order': 1960, 'label': '70L31', 'order': 70, 'powers': [227, 451, 103, 38], 'representative': 876, 'size': 2}
-
id: 137381066
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 458, 'group_counter': 102, 'group_order': 1960, 'label': '70L-31', 'order': 70, 'powers': [228, 452, 104, 38], 'representative': 888, 'size': 2}
-
id: 137381067
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 459, 'group_counter': 102, 'group_order': 1960, 'label': '70L33', 'order': 70, 'powers': [223, 455, 105, 39], 'representative': 928, 'size': 2}
-
id: 137381069
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 460, 'group_counter': 102, 'group_order': 1960, 'label': '70L-33', 'order': 70, 'powers': [224, 456, 106, 39], 'representative': 948, 'size': 2}
-
id: 137381070
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 461, 'group_counter': 102, 'group_order': 1960, 'label': '70M1', 'order': 70, 'powers': [230, 463, 107, 40], 'representative': 170, 'size': 2}
-
id: 137381071
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 462, 'group_counter': 102, 'group_order': 1960, 'label': '70M-1', 'order': 70, 'powers': [229, 464, 108, 40], 'representative': 194, 'size': 2}
-
id: 137381072
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 463, 'group_counter': 102, 'group_order': 1960, 'label': '70M3', 'order': 70, 'powers': [243, 465, 109, 41], 'representative': 510, 'size': 2}
-
id: 137381073
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 464, 'group_counter': 102, 'group_order': 1960, 'label': '70M-3', 'order': 70, 'powers': [244, 466, 110, 41], 'representative': 526, 'size': 2}
-
id: 137381074
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 465, 'group_counter': 102, 'group_order': 1960, 'label': '70M9', 'order': 70, 'powers': [241, 477, 112, 40], 'representative': 466, 'size': 2}
-
id: 137381075
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 466, 'group_counter': 102, 'group_order': 1960, 'label': '70M-9', 'order': 70, 'powers': [242, 478, 111, 40], 'representative': 458, 'size': 2}
-
id: 137381076
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 467, 'group_counter': 102, 'group_order': 1960, 'label': '70M11', 'order': 70, 'powers': [227, 483, 110, 40], 'representative': 134, 'size': 2}
-
id: 137381077
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 468, 'group_counter': 102, 'group_order': 1960, 'label': '70M-11', 'order': 70, 'powers': [228, 484, 109, 40], 'representative': 118, 'size': 2}
-
id: 137381078
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 469, 'group_counter': 102, 'group_order': 1960, 'label': '70M13', 'order': 70, 'powers': [232, 482, 108, 41], 'representative': 250, 'size': 2}
-
id: 137381080
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 470, 'group_counter': 102, 'group_order': 1960, 'label': '70M-13', 'order': 70, 'powers': [231, 481, 107, 41], 'representative': 226, 'size': 2}
-
id: 137381081
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 471, 'group_counter': 102, 'group_order': 1960, 'label': '70M17', 'order': 70, 'powers': [225, 474, 109, 41], 'representative': 902, 'size': 2}
-
id: 137381082
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 472, 'group_counter': 102, 'group_order': 1960, 'label': '70M-17', 'order': 70, 'powers': [226, 473, 110, 41], 'representative': 918, 'size': 2}
-
id: 137381083
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 473, 'group_counter': 102, 'group_order': 1960, 'label': '70M19', 'order': 70, 'powers': [234, 470, 111, 40], 'representative': 738, 'size': 2}
-
id: 137381084
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 474, 'group_counter': 102, 'group_order': 1960, 'label': '70M-19', 'order': 70, 'powers': [233, 469, 112, 40], 'representative': 746, 'size': 2}
-
id: 137381085
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 475, 'group_counter': 102, 'group_order': 1960, 'label': '70M23', 'order': 70, 'powers': [223, 462, 112, 41], 'representative': 74, 'size': 2}
-
id: 137381086
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 476, 'group_counter': 102, 'group_order': 1960, 'label': '70M-23', 'order': 70, 'powers': [224, 461, 111, 41], 'representative': 66, 'size': 2}
-
id: 137381087
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 477, 'group_counter': 102, 'group_order': 1960, 'label': '70M27', 'order': 70, 'powers': [239, 467, 108, 41], 'representative': 642, 'size': 2}
-
id: 137381088
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 478, 'group_counter': 102, 'group_order': 1960, 'label': '70M-27', 'order': 70, 'powers': [240, 468, 107, 41], 'representative': 618, 'size': 2}
-
id: 137381089
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 479, 'group_counter': 102, 'group_order': 1960, 'label': '70M29', 'order': 70, 'powers': [221, 471, 107, 40], 'representative': 954, 'size': 2}
-
id: 137381091
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 480, 'group_counter': 102, 'group_order': 1960, 'label': '70M-29', 'order': 70, 'powers': [222, 472, 108, 40], 'representative': 978, 'size': 2}
-
id: 137381092
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 481, 'group_counter': 102, 'group_order': 1960, 'label': '70M31', 'order': 70, 'powers': [236, 475, 109, 40], 'representative': 678, 'size': 2}
-
id: 137381093
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 482, 'group_counter': 102, 'group_order': 1960, 'label': '70M-31', 'order': 70, 'powers': [235, 476, 110, 40], 'representative': 694, 'size': 2}
-
id: 137381094
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 483, 'group_counter': 102, 'group_order': 1960, 'label': '70M33', 'order': 70, 'powers': [237, 479, 111, 41], 'representative': 346, 'size': 2}
-
id: 137381095
{'aut_label': '70H1', 'centralizer': '2.a1.a1', 'counter': 484, 'group_counter': 102, 'group_order': 1960, 'label': '70M-33', 'order': 70, 'powers': [238, 480, 112, 41], 'representative': 354, 'size': 2}
-
id: 137381096
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 485, 'group_counter': 102, 'group_order': 1960, 'label': '70N1', 'order': 70, 'powers': [187, 487, 113, 42], 'representative': 310, 'size': 2}
-
id: 137381097
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 486, 'group_counter': 102, 'group_order': 1960, 'label': '70N-1', 'order': 70, 'powers': [188, 488, 114, 42], 'representative': 334, 'size': 2}
-
id: 137381098
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 487, 'group_counter': 102, 'group_order': 1960, 'label': '70N3', 'order': 70, 'powers': [176, 489, 115, 43], 'representative': 930, 'size': 2}
-
id: 137381099
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 488, 'group_counter': 102, 'group_order': 1960, 'label': '70N-3', 'order': 70, 'powers': [175, 490, 116, 43], 'representative': 946, 'size': 2}
-
id: 137381100
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 489, 'group_counter': 102, 'group_order': 1960, 'label': '70N9', 'order': 70, 'powers': [182, 501, 118, 42], 'representative': 1166, 'size': 2}
-
id: 137381102
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 490, 'group_counter': 102, 'group_order': 1960, 'label': '70N-9', 'order': 70, 'powers': [181, 502, 117, 42], 'representative': 1158, 'size': 2}
-
id: 137381103
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 491, 'group_counter': 102, 'group_order': 1960, 'label': '70N11', 'order': 70, 'powers': [193, 507, 116, 42], 'representative': 1450, 'size': 2}
-
id: 137381104
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 492, 'group_counter': 102, 'group_order': 1960, 'label': '70N-11', 'order': 70, 'powers': [194, 508, 115, 42], 'representative': 1434, 'size': 2}
-
id: 137381105
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 493, 'group_counter': 102, 'group_order': 1960, 'label': '70N13', 'order': 70, 'powers': [177, 506, 114, 43], 'representative': 110, 'size': 2}
-
id: 137381106
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 494, 'group_counter': 102, 'group_order': 1960, 'label': '70N-13', 'order': 70, 'powers': [178, 505, 113, 43], 'representative': 86, 'size': 2}
-
id: 137381107
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 495, 'group_counter': 102, 'group_order': 1960, 'label': '70N17', 'order': 70, 'powers': [189, 498, 115, 43], 'representative': 650, 'size': 2}
-
id: 137381108
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 496, 'group_counter': 102, 'group_order': 1960, 'label': '70N-17', 'order': 70, 'powers': [190, 497, 116, 43], 'representative': 666, 'size': 2}
-
id: 137381109
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 497, 'group_counter': 102, 'group_order': 1960, 'label': '70N19', 'order': 70, 'powers': [174, 494, 117, 42], 'representative': 38, 'size': 2}
-
id: 137381110
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 498, 'group_counter': 102, 'group_order': 1960, 'label': '70N-19', 'order': 70, 'powers': [173, 493, 118, 42], 'representative': 46, 'size': 2}
-
id: 137381111
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 499, 'group_counter': 102, 'group_order': 1960, 'label': '70N23', 'order': 70, 'powers': [183, 486, 118, 43], 'representative': 1222, 'size': 2}
-
id: 137381114
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 500, 'group_counter': 102, 'group_order': 1960, 'label': '70N-23', 'order': 70, 'powers': [184, 485, 117, 43], 'representative': 1214, 'size': 2}
-
id: 137381115
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 501, 'group_counter': 102, 'group_order': 1960, 'label': '70N27', 'order': 70, 'powers': [195, 491, 114, 43], 'representative': 502, 'size': 2}
-
id: 137381116
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 502, 'group_counter': 102, 'group_order': 1960, 'label': '70N-27', 'order': 70, 'powers': [196, 492, 113, 43], 'representative': 478, 'size': 2}
-
id: 137381117
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 503, 'group_counter': 102, 'group_order': 1960, 'label': '70N29', 'order': 70, 'powers': [179, 495, 113, 42], 'representative': 870, 'size': 2}
-
id: 137381118
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 504, 'group_counter': 102, 'group_order': 1960, 'label': '70N-29', 'order': 70, 'powers': [180, 496, 114, 42], 'representative': 894, 'size': 2}
-
id: 137381119
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 505, 'group_counter': 102, 'group_order': 1960, 'label': '70N31', 'order': 70, 'powers': [186, 499, 115, 42], 'representative': 258, 'size': 2}
-
id: 137381120
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 506, 'group_counter': 102, 'group_order': 1960, 'label': '70N-31', 'order': 70, 'powers': [185, 500, 116, 42], 'representative': 274, 'size': 2}
-
id: 137381121
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 507, 'group_counter': 102, 'group_order': 1960, 'label': '70N33', 'order': 70, 'powers': [191, 503, 117, 43], 'representative': 374, 'size': 2}
-
id: 137381122
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 508, 'group_counter': 102, 'group_order': 1960, 'label': '70N-33', 'order': 70, 'powers': [192, 504, 118, 43], 'representative': 382, 'size': 2}
-
id: 137381123
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 509, 'group_counter': 102, 'group_order': 1960, 'label': '70O1', 'order': 70, 'powers': [219, 511, 119, 42], 'representative': 34, 'size': 2}
-
id: 137381125
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 510, 'group_counter': 102, 'group_order': 1960, 'label': '70O-1', 'order': 70, 'powers': [220, 512, 120, 42], 'representative': 50, 'size': 2}
-
id: 137381126
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 511, 'group_counter': 102, 'group_order': 1960, 'label': '70O3', 'order': 70, 'powers': [217, 513, 121, 43], 'representative': 102, 'size': 2}
-
id: 137381127
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 512, 'group_counter': 102, 'group_order': 1960, 'label': '70O-3', 'order': 70, 'powers': [218, 514, 122, 43], 'representative': 94, 'size': 2}
-
id: 137381128
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 513, 'group_counter': 102, 'group_order': 1960, 'label': '70O9', 'order': 70, 'powers': [215, 525, 124, 42], 'representative': 278, 'size': 2}
-
id: 137381129
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 514, 'group_counter': 102, 'group_order': 1960, 'label': '70O-9', 'order': 70, 'powers': [216, 526, 123, 42], 'representative': 254, 'size': 2}
-
id: 137381130
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 515, 'group_counter': 102, 'group_order': 1960, 'label': '70O11', 'order': 70, 'powers': [213, 531, 122, 42], 'representative': 318, 'size': 2}
-
id: 137381131
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 516, 'group_counter': 102, 'group_order': 1960, 'label': '70O-11', 'order': 70, 'powers': [214, 532, 121, 42], 'representative': 326, 'size': 2}
-
id: 137381132
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 517, 'group_counter': 102, 'group_order': 1960, 'label': '70O13', 'order': 70, 'powers': [211, 530, 120, 43], 'representative': 386, 'size': 2}
-
id: 137381133
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 518, 'group_counter': 102, 'group_order': 1960, 'label': '70O-13', 'order': 70, 'powers': [212, 529, 119, 43], 'representative': 370, 'size': 2}
-
id: 137381134
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 519, 'group_counter': 102, 'group_order': 1960, 'label': '70O17', 'order': 70, 'powers': [209, 522, 121, 43], 'representative': 494, 'size': 2}
-
id: 137381136
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 520, 'group_counter': 102, 'group_order': 1960, 'label': '70O-17', 'order': 70, 'powers': [210, 521, 122, 43], 'representative': 486, 'size': 2}
-
id: 137381137
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 521, 'group_counter': 102, 'group_order': 1960, 'label': '70O19', 'order': 70, 'powers': [207, 518, 123, 42], 'representative': 1430, 'size': 2}
-
id: 137381138
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 522, 'group_counter': 102, 'group_order': 1960, 'label': '70O-19', 'order': 70, 'powers': [208, 517, 124, 42], 'representative': 1454, 'size': 2}
-
id: 137381139
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 523, 'group_counter': 102, 'group_order': 1960, 'label': '70O23', 'order': 70, 'powers': [205, 510, 124, 43], 'representative': 670, 'size': 2}
-
id: 137381140
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 524, 'group_counter': 102, 'group_order': 1960, 'label': '70O-23', 'order': 70, 'powers': [206, 509, 123, 43], 'representative': 646, 'size': 2}
-
id: 137381141
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 525, 'group_counter': 102, 'group_order': 1960, 'label': '70O27', 'order': 70, 'powers': [203, 515, 120, 43], 'representative': 1226, 'size': 2}
-
id: 137381142
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 526, 'group_counter': 102, 'group_order': 1960, 'label': '70O-27', 'order': 70, 'powers': [204, 516, 119, 43], 'representative': 1210, 'size': 2}
-
id: 137381143
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 527, 'group_counter': 102, 'group_order': 1960, 'label': '70O29', 'order': 70, 'powers': [201, 519, 119, 42], 'representative': 1154, 'size': 2}
-
id: 137381144
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 528, 'group_counter': 102, 'group_order': 1960, 'label': '70O-29', 'order': 70, 'powers': [202, 520, 120, 42], 'representative': 1170, 'size': 2}
-
id: 137381145
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 529, 'group_counter': 102, 'group_order': 1960, 'label': '70O31', 'order': 70, 'powers': [199, 523, 121, 42], 'representative': 886, 'size': 2}
-
id: 137381147
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 530, 'group_counter': 102, 'group_order': 1960, 'label': '70O-31', 'order': 70, 'powers': [200, 524, 122, 42], 'representative': 878, 'size': 2}
-
id: 137381148
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 531, 'group_counter': 102, 'group_order': 1960, 'label': '70O33', 'order': 70, 'powers': [197, 527, 123, 43], 'representative': 926, 'size': 2}
-
id: 137381149
{'aut_label': '70G1', 'centralizer': '2.a1.a1', 'counter': 532, 'group_counter': 102, 'group_order': 1960, 'label': '70O-33', 'order': 70, 'powers': [198, 528, 124, 43], 'representative': 950, 'size': 2}
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gps_qchar • Show schema
Hide schema
-
id: 12172861
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1960.102', 'group_order': 1960, 'image': None, 'label': '1960.102.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 12172872
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1960.102', 'group_order': 1960, 'image': None, 'label': '1960.102.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -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: 12172883
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1960.102', 'group_order': 1960, 'image': None, 'label': '1960.102.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -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: 12172894
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1960.102', 'group_order': 1960, 'image': None, 'label': '1960.102.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 12172905
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id: 12172909
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id: 12172867
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id: 12172869
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id: 12172870
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id: 12172871
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id: 12172873
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id: 12172863
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id: 12172864
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id: 12172874
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id: 12172875
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id: 12172876
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id: 12172877
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id: 12172878
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id: 12172879
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id: 12172880
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id: 12172881
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id: 12172882
{'cdim': 2, 'counter': 29, 'faithful': False, 'group': '1960.102', 'group_order': 1960, 'image': None, 'label': '1960.102.2q', 'multiplicity': 6, 'nt': [28, 33], 'qdim': 12, 'qvalues': [12, -12, 12, -12, 0, 0, 0, 0, 12, 12, -2, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, 5, -2, -2, -2, 5, 5, -2, 12, -12, -12, -12, 12, -12, 2, -2, 2, -2, -2, 2, -2, 2, 2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -5, -5, -5, -2, -5, -2, 2, -2, -5, 2, 2, -2, 2, 2, -5, 5, 2, 2, 2, -2, -2, 2, -2, 2, -2, 2, 2, 2, -2, -2, -2, 5, 2, -2, -5, 2, 5, -5, -2, -5, -5, -2, 2, 2, 2, -5, 2, -2, 2, 2, -5, 2, 2, 2, 5, 2, 2, 2, 2, 2, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, -2, -2, 5, 5, -2, -2, -2, -2, 5, -2, -2, -2, 5, -2, 5, 5, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, 5, -2, -2, -2, 5, -2, 5, -2, 5, -2, 5, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, 5, -2, -2, 5, 5, -2, -2, 5, -2, 5, -2, -2, -2, -2, -2, 5, -2, -2, -2, 5, -2, -2, -2, -2, 5, -5, 2, -2, 2, 2, 2, -5, -5, 2, -2, 5, 2, 2, -2, -5, -2, -5, 2, 5, 2, 2, -2, 2, 2, -2, -5, 2, 2, 2, -2, 2, -2, 5, -5, 2, -2, 5, 2, 5, -2, 2, 2, 5, -5, -2, 2, -2, -2, -5, -5, 2, -2, 2, 2, -2, 5, 2, 2, -5, 2, -2, -5, 5, 2, -2, 2, 5, 2, -2, 2, 5, 2, 2, -2, 2, -5, 5, 5, -2, 5, 2, -5, 2, -5, -5, 2, 2, 2, 2, 2, -2, -2, -5, 2, 2, 2, -2, 2, 2, -2, 5, -2, -5, 2, 2, 5, -2, 2, 2, 2, -2, -2, 2, 2, -5, 2, 2, -2, -5, -5, -5, 2, 2, 2, -2, 2, 2, -5, -5, 2, 2, 2, 2, -5, -5, 2, 2, 2, 2, 2, 2, 2, 2, -5, -5, -5, 2, 2, 2, -5, -5, 2, -2, 2, -2, -5, 2, 2, 2, -5, 2, 2, -2, 5, 2, 2, 2, 2, -2, -5, 2, -2, -2, -2, 2, 2, -2, -2, 5, 2, 2, -5, -2, -2, 2, 2, 2, 2, -2, 5, -2, -2, 2, 2, -5, -2, -5, 2, 5, -2, 2, -5, 2, -5, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -5, -2, 2, 2, -2, -2, -2, -2, 2, 2, -5, 2, -5, -2, 2, 5, 2, 2, -2, -5, 2, -2, -5, 2, -2, 2, 2, 2, 2, -2, 2, -2, -2, 2, -2, 5, -2, -2, -2, 5, -2, 2, 2, 2, -5, 2, 2, 2, 2, 5, -5, -2, -5, 2, 2, 2, -2, 2, 2, 2, -5, 2, -2, 2, 2, 2, 2, 2, 2, 2, 5, 2], 'schur_index': 1}
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id: 12172884
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id: 12172885
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id: 12172886
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id: 12172887
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id: 12172888
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id: 12172889
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id: 12172890
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id: 12172891
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id: 12172892
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id: 12172893
{'cdim': 2, 'counter': 39, 'faithful': False, 'group': '1960.102', 'group_order': 1960, 'image': None, 'label': '1960.102.2aa', 'multiplicity': 12, 'nt': [140, 0], 'qdim': 24, 'qvalues': [24, -24, 24, -24, 0, 0, 0, 0, -6, -6, -4, -4, -4, -4, -4, -4, 24, -4, -4, -4, -4, -4, 24, -4, 24, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -6, 6, 6, 6, -6, 6, 4, -4, 4, -4, -4, 4, -4, 4, 4, -4, 4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, 4, -4, 4, 24, 4, 4, 4, -4, -24, 4, 4, -4, -24, 4, 4, -4, -4, -24, -4, 4, 24, 4, 4, 4, -4, -4, -4, -4, 4, -4, 4, 4, -4, 4, -4, 4, 4, -4, 4, 4, 4, 4, 4, 24, -24, 4, 4, 4, 4, 4, -4, -24, 4, 4, -24, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -6, 1, 1, 1, 1, 1, 1, -6, 1, 1, 1, 1, 1, 1, 1, -6, 1, 1, 1, 1, 1, -6, 1, 1, 1, 1, 1, -6, 1, -6, 1, 1, -6, 1, 1, 1, 1, 1, 1, 1, 1, -6, 1, -6, 1, 1, 1, 1, 1, 1, 1, 1, -6, 1, 1, 1, 1, 1, -6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 6, -1, -1, 1, 6, 1, 1, -1, 6, 1, 1, 6, 1, 1, -1, -1, 1, -1, -6, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -6, -1, 1, 6, 1, 6, 1, -1, 1, 6, 1, -1, -1, 1, 6, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -6, 1, -1, -1, -1, -1, -6, -1, -1, 1, 1, 1, -1, 6, 6, 1, 1, 6, 6, -1, 1, -6, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -6, 1, -1, -1, -1, -1, -6, -1, -1, 1, 1, 1, -1, 6, 1, 1, 1, 6, 6, -1, 1, -6, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -6, -1, -1, -1, -1, -6, -1, 1, 6, 1, 6, 1, -1, 1, 6, 1, -1, -1, 1, 6, -1, 1, 1, 1, -6, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 6, -1, -1, 1, 6, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 6, -1, -1, -1, -1, -1, -1, 1, -1, -6, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 6, 1, -1], 'schur_index': 1}
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id: 12172895
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id: 12172896
{'cdim': 2, 'counter': 41, 'faithful': False, 'group': '1960.102', 'group_order': 1960, 'image': None, 'label': '1960.102.2ac', 'multiplicity': 24, 'nt': [70, 0], 'qdim': 48, 'qvalues': [48, 48, 48, 48, 0, 0, 0, 0, -12, -12, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, 20, -8, 20, 20, -8, -8, -8, 20, 20, -8, -8, 20, -12, -12, -12, -12, -12, -12, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, 20, -8, 20, -8, -8, -8, -8, -8, 20, -8, -8, -8, -8, -8, 20, 20, -8, 20, -8, -8, 20, -8, -8, 20, 20, -8, -8, -8, -8, -8, -8, -8, 20, -8, -8, 20, -8, -8, 20, -8, -8, -8, -8, 20, -8, -8, 20, -8, 20, 20, -8, -8, -8, 20, 20, -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, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, -5, -5, -5, -5, 2, -5, 2, -5, -5, -5, 2, -5, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, -5, 2, 2, 2, 2, 2, -5, 2, 2, 2, -5, 2, -5, 2, -5, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, -5, 2, 2, -5, 2, 2, 2, -5, 2, -5, -5, 2, 2, 2, 2, 2, 2, 2, -5, 2, -5, 2, -5, 2, 2, -5, 2, 2, -5, 2, 2, 2, -5, -5, -5, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, -5, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, -5, 2, -5, 2, 2, 2, 2, 2, 2, 2, -5, -5, 2, 2, 2, 2, -5, -5, 2, 2, -5, 2, 2, -5, 2, 2, 2, 2, -5, 2, 2, 2, -5, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, -5, -5, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, -5, -5, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, -5, 2, 2, 2, -5, -5, 2, 2, 2, 2, 2, 2, -5, 2, -5, 2, 2, 2, -5, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, -5, -5, 2, -5, 2, 2, 2, 2, -5, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, -5, 2, -5, 2, 2, 2, 2, 2, -5, -5, 2, 2, 2, 2, 2, 2, -5, 2, 2, -5, 2, 2, 2, -5, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, -5, -5, 2, 2, 2, 2, -5, 2, 2, -5, 2, -5, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, -5, 2, 2, -5, 2, -5, 2, -5, -5, 2, 2, 2, -5], 'schur_index': 1}
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id: 12172897
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id: 12172898
{'cdim': 2, 'counter': 43, 'faithful': False, 'group': '1960.102', 'group_order': 1960, 'image': None, 'label': '1960.102.2ae', 'multiplicity': 24, 'nt': [70, 0], 'qdim': 48, 'qvalues': [48, 48, 48, 48, 0, 0, 0, 0, -12, -12, -8, -8, -8, -8, -8, -8, -8, 20, -8, 20, -8, -8, -8, -8, -8, -8, 20, -8, -8, -8, 20, -8, -8, -8, 20, 20, -8, -12, -12, -12, -12, -12, -12, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, 20, 20, 20, -8, 20, -8, -8, -8, 20, -8, -8, -8, -8, -8, 20, 20, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, 20, -8, -8, 20, -8, 20, 20, -8, 20, 20, -8, -8, -8, -8, 20, -8, -8, -8, -8, 20, -8, -8, -8, 20, -8, -8, -8, -8, -8, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, 2, 2, -5, -5, 2, 2, 2, 2, -5, 2, 2, 2, -5, 2, -5, -5, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, -5, 2, 2, 2, -5, 2, -5, 2, -5, 2, -5, 2, 2, 2, 2, 2, 2, -5, 2, -5, 2, -5, 2, 2, -5, -5, 2, 2, -5, 2, -5, 2, 2, 2, 2, 2, -5, 2, 2, 2, -5, 2, 2, 2, 2, -5, -5, 2, 2, 2, 2, 2, -5, -5, 2, 2, -5, 2, 2, 2, -5, 2, -5, 2, -5, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, -5, -5, 2, 2, -5, 2, -5, 2, 2, 2, -5, -5, 2, 2, 2, 2, -5, -5, 2, 2, 2, 2, 2, -5, 2, 2, -5, 2, 2, -5, -5, 2, 2, 2, -5, 2, 2, 2, -5, 2, 2, 2, 2, -5, -5, -5, 2, -5, 2, -5, 2, -5, -5, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, -5, 2, -5, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, -5, -5, -5, 2, 2, 2, 2, 2, 2, -5, -5, 2, 2, 2, 2, -5, -5, 2, 2, 2, 2, 2, 2, 2, 2, -5, -5, -5, 2, 2, 2, -5, -5, 2, 2, 2, 2, -5, 2, 2, 2, -5, 2, 2, 2, -5, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, -5, 2, -5, 2, -5, 2, 2, -5, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, -5, 2, 2, -5, 2, 2, 2, -5, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, -5, 2, 2, 2, 2, -5, 2, 2, 2, 2, -5, -5, 2, -5, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2], 'schur_index': 1}
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id: 12172899
{'cdim': 2, 'counter': 44, 'faithful': False, 'group': '1960.102', 'group_order': 1960, 'image': None, 'label': '1960.102.2af', 'multiplicity': 24, 'nt': [140, 0], 'qdim': 48, 'qvalues': [48, -48, -48, 48, 0, 0, 0, 0, -12, -12, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, 20, -8, 20, 20, -8, -8, -8, 20, 20, -8, -8, 20, 12, -12, 12, 12, 12, -12, 8, 8, -8, 8, 8, 8, 8, -8, 8, 8, 8, 8, -8, 8, 8, -8, -8, -8, 8, -8, 8, -8, -20, -8, -20, -8, 8, -8, 8, -8, -20, 8, -8, -8, 8, -8, -20, 20, 8, -20, -8, 8, 20, 8, -8, 20, -20, 8, 8, 8, 8, 8, 8, 8, -20, 8, 8, -20, 8, 8, -20, 8, -8, -8, 8, 20, 8, 8, -20, -8, -20, 20, 8, 8, 8, -20, 20, -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, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, -5, -5, -5, -5, 2, -5, 2, -5, -5, -5, 2, -5, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, -5, 2, 2, 2, 2, 2, -5, 2, 2, 2, -5, 2, -5, 2, -5, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, -5, 2, 2, -5, 2, 2, -2, 5, -2, 5, 5, -2, -2, -2, -2, -2, 2, -2, 5, -2, 5, 2, -5, -2, -2, 5, -2, -2, -5, -2, 2, -2, 5, -5, 5, 2, 5, -2, 2, -2, -2, -2, 2, -2, -2, -5, 5, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, -2, -2, -5, -2, 2, 2, -2, 2, -2, -2, -2, 2, -2, -5, -2, -2, -2, 2, 2, 5, -2, 2, -2, -2, 5, -2, 5, -2, -2, -2, -2, -2, 2, 2, -5, -5, -2, -2, 2, 2, -5, 5, -2, 2, -5, -2, -2, 5, 2, -2, -2, -2, 5, 2, 2, 2, 5, -2, 5, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, 5, 5, 5, 5, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -5, 2, -5, -5, 5, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 5, 5, -2, -2, -2, 5, -5, 2, 2, 2, -2, -2, 2, -5, 2, 5, -2, 2, 2, 5, -2, -2, 2, -2, 5, -2, -2, 2, 2, 2, -2, -2, -2, 5, 5, -2, 5, -2, -2, -2, 2, -5, 2, 5, 2, 2, -2, -2, 2, -2, 2, 2, -2, -5, 5, -2, 5, 2, -2, 2, -2, -2, 5, -5, 2, -2, -2, 2, -2, -2, 5, -2, -2, 5, 2, -2, -2, 5, -2, -2, -5, 2, -2, -2, -2, -2, -2, 2, -2, -5, -2, -2, 2, -2, 2, -2, -2, -5, -2, -2, -2, 5, 5, -2, -2, 2, 2, 5, -2, 2, 5, -2, -5, -2, -2, -2, -2, -2, -5, -2, -2, 2, -2, 5, -2, 2, 5, -2, 5, -2, 5, 5, -2, 2, -2, -5], 'schur_index': 1}
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id: 12172900
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id: 12172901
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id: 12172902
{'cdim': 2, 'counter': 47, 'faithful': False, 'group': '1960.102', 'group_order': 1960, 'image': None, 'label': '1960.102.2ai', 'multiplicity': 24, 'nt': [140, 0], 'qdim': 48, 'qvalues': [48, -48, 48, -48, 0, 0, 0, 0, -12, -12, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, 20, -8, 20, 20, -8, -8, -8, 20, 20, -8, -8, 20, -12, 12, 12, 12, -12, 12, 8, -8, 8, -8, -8, 8, -8, 8, 8, -8, 8, -8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 20, 8, 20, 8, -8, 8, 8, 8, 20, 8, 8, 8, -8, 8, -20, -20, -8, 20, 8, -8, -20, -8, 8, -20, -20, -8, -8, -8, -8, 8, -8, 8, -20, -8, 8, 20, 8, 8, 20, 8, 8, 8, 8, -20, -8, 8, -20, 8, -20, -20, 8, -8, 8, -20, -20, 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, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, -5, -5, -5, -5, 2, -5, 2, -5, -5, -5, 2, -5, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, -5, 2, 2, 2, 2, 2, -5, 2, 2, 2, -5, 2, -5, 2, -5, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, -5, 2, 2, -5, 2, -2, -2, -5, -2, 5, 5, -2, -2, -2, 2, 2, -2, -2, -5, -2, -5, -2, 5, 2, -2, 5, 2, -2, 5, 2, -2, -2, 5, 5, -5, -2, -5, 2, -2, -2, 2, 2, -2, 2, 2, 5, 5, 2, -2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, 2, 2, 5, -2, -2, -2, 2, -2, 2, -2, 2, -2, 2, 5, 2, -2, 2, -2, -2, -5, -2, -2, 2, 2, -5, 2, 5, -2, -2, -2, -2, -2, -2, -2, 5, 5, 2, 2, -2, -2, 5, 5, 2, -2, 5, 2, 2, -5, -2, -2, -2, 2, -5, -2, -2, -2, -5, 2, 5, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 5, -5, 5, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, 5, 5, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -5, 5, 2, -2, -2, 5, 5, -2, -2, -2, 2, 2, -2, 5, -2, 5, 2, -2, -2, -5, 2, 2, -2, -2, -5, 2, 2, -2, -2, -2, 2, 2, -2, 5, 5, -2, -5, 2, 2, 2, -2, 5, -2, -5, -2, -2, 2, 2, -2, -2, -2, -2, 2, 5, -5, -2, -5, -2, 2, -2, 2, -2, -5, 5, -2, 2, -2, -2, 2, 2, -5, 2, -2, 5, -2, -2, -2, -5, -2, 2, 5, -2, 2, -2, -2, 2, -2, -2, 2, 5, -2, -2, -2, 2, -2, 2, 2, 5, 2, 2, 2, -5, -5, 2, 2, -2, -2, 5, -2, -2, 5, -2, 5, 2, -2, 2, -2, -2, 5, -2, 2, -2, -2, 5, -2, -2, -5, -2, 5, -2, 5, 5, -2, -2, 2, 5], 'schur_index': 1}
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id: 12172903
{'cdim': 2, 'counter': 48, 'faithful': False, 'group': '1960.102', 'group_order': 1960, 'image': None, 'label': '1960.102.2aj', 'multiplicity': 24, 'nt': [140, 0], 'qdim': 48, 'qvalues': [48, -48, 48, -48, 0, 0, 0, 0, -12, -12, -8, -8, -8, -8, -8, -8, -8, -8, 20, -8, 20, 20, -8, 20, -8, -8, -8, -8, -8, 20, -8, 20, -8, -8, -8, -8, -8, -12, 12, 12, 12, -12, 12, 8, -8, 8, -8, -8, 8, -8, 8, 8, -8, 8, -8, 8, 8, 8, 8, 8, 8, -20, 8, 8, 8, -8, 8, -8, -20, -8, 8, -20, -20, -8, 8, -20, 8, -8, 8, 8, 8, 20, -8, 8, 20, 8, -8, -20, 8, 8, 20, 20, 20, -8, -20, 20, 8, 8, -8, 8, -8, 8, 8, -8, -20, -20, -20, 8, 8, -8, 8, 8, 8, 8, 8, -20, -8, 8, 8, 8, 8, -20, -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, 2, -5, 2, 2, 2, 2, 2, 2, -5, 2, 2, -5, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, -5, 2, -5, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, -5, 2, -5, -5, 2, 2, -5, -5, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, -5, 2, -5, -5, 2, 2, -5, 2, 2, 2, 2, -5, -5, -5, 2, 2, 2, -5, 2, -5, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, -2, 5, -5, 2, 5, 5, 2, -2, 2, -2, -2, 2, 5, -2, -5, 5, -2, -5, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, 2, 2, -2, 2, -5, -2, -2, 2, -2, 2, 5, -5, 2, -2, -2, 5, -5, 5, 5, -5, 2, -2, -2, -2, 5, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, 5, 5, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 5, -2, 5, -2, -2, 2, 2, -2, -2, -2, -2, 2, 5, -2, -5, 2, 2, -2, -2, -2, 2, 2, -2, -2, -2, 2, 2, -2, -2, -2, 5, -2, -5, -2, -2, -2, 5, 5, -2, 2, -2, -2, -2, -2, 5, 5, -2, -2, -2, -2, 5, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, 5, 5, -2, -2, -2, 5, 2, -2, -5, -2, 5, -2, -2, -2, 5, -2, 2, 2, -2, -2, -2, -2, 2, -2, 5, 2, -5, -5, -2, -2, 2, -5, 2, -2, -2, -2, -5, 2, 5, -2, -2, 5, 2, 2, 2, -5, 5, -2, -2, 2, -2, -2, 2, 2, 5, -2, 5, -2, 2, -2, 2, -2, 2, -2, -5, 5, -5, -2, 2, -2, -2, 2, -2, -2, -5, -5, 2, 2, 5, -2, -2, 5, -2, 2, -2, 2, -2, 5, 2, -2, 5, 2, -2, 5, 2, -2, -2, 5, 5, -5, -2, -5, 2, -2, -5, 2, -5, 2, 2, 2, 2, -2, -2, -2, -2, 5, -2, 5, -2, 2, -2, 2, -2, -2, -2, 5, -5, 5, 5, -2, -2, 5, 2, 5, -2, -2, -2, -2, -2, -2, 2, -2], 'schur_index': 1}
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id: 12172904
{'cdim': 2, 'counter': 49, 'faithful': False, 'group': '1960.102', 'group_order': 1960, 'image': None, 'label': '1960.102.2ak', 'multiplicity': 24, 'nt': [140, 0], 'qdim': 48, 'qvalues': [48, -48, 48, -48, 0, 0, 0, 0, -12, -12, -8, -8, -8, -8, -8, -8, -8, 20, -8, 20, -8, -8, -8, -8, -8, -8, 20, -8, -8, -8, 20, -8, -8, -8, 20, 20, -8, -12, 12, 12, 12, -12, 12, 8, -8, 8, -8, -8, 8, -8, 8, 8, -8, 8, -8, 8, 8, 8, 8, 8, 8, 8, -20, -20, -20, -8, -20, -8, 8, -8, -20, 8, 8, -8, 8, 8, -20, 20, 8, 8, 8, -8, -8, 8, -8, 8, -8, 8, 8, 8, -8, -8, -8, 20, 8, -8, -20, 8, 20, -20, -8, -20, -20, -8, 8, 8, 8, -20, 8, -8, 8, 8, -20, 8, 8, 8, 20, 8, 8, 8, 8, 8, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, 2, 2, -5, -5, 2, 2, 2, 2, -5, 2, 2, 2, -5, 2, -5, -5, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, -5, 2, 2, 2, -5, 2, -5, 2, -5, 2, -5, 2, 2, 2, 2, 2, 2, -5, 2, -5, 2, -5, 2, 2, -5, -5, 2, 2, -5, 2, -5, 2, 2, 2, 2, 2, -5, 2, 2, 2, -5, 2, 2, 2, 2, -5, 5, -2, 2, -2, -2, -2, 5, 5, -2, 2, -5, -2, -2, 2, 5, 2, 5, -2, -5, -2, -2, 2, -2, -2, 2, 5, -2, -2, -2, 2, -2, 2, -5, 5, -2, 2, -5, -2, -5, 2, -2, -2, -5, 5, 2, -2, 2, 2, 5, 5, -2, 2, -2, -2, 2, -5, -2, -2, 5, -2, 2, 5, -5, -2, 2, -2, -5, -2, 2, -2, -5, -2, -2, 2, -2, 5, -5, -5, 2, -5, -2, 5, -2, 5, 5, -2, -2, -2, -2, -2, 2, 2, 5, -2, -2, -2, 2, -2, -2, 2, -5, 2, 5, -2, -2, -5, 2, -2, -2, -2, 2, 2, -2, -2, 5, -2, -2, 2, 5, 5, 5, -2, -2, -2, 2, -2, -2, 5, 5, -2, -2, -2, -2, 5, 5, -2, -2, -2, -2, -2, -2, -2, -2, 5, 5, 5, -2, -2, -2, 5, 5, -2, 2, -2, 2, 5, -2, -2, -2, 5, -2, -2, 2, -5, -2, -2, -2, -2, 2, 5, -2, 2, 2, 2, -2, -2, 2, 2, -5, -2, -2, 5, 2, 2, -2, -2, -2, -2, 2, -5, 2, 2, -2, -2, 5, 2, 5, -2, -5, 2, -2, 5, -2, 5, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 2, -2, 5, 2, -2, -2, 2, 2, 2, 2, -2, -2, 5, -2, 5, 2, -2, -5, -2, -2, 2, 5, -2, 2, 5, -2, 2, -2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -5, 2, 2, 2, -5, 2, -2, -2, -2, 5, -2, -2, -2, -2, -5, 5, 2, 5, -2, -2, -2, 2, -2, -2, -2, 5, -2, 2, -2, -2, -2, -2, -2, -2, -2, -5, -2], 'schur_index': 1}
-
id: 12172906
{'cdim': 2, 'counter': 50, 'faithful': False, 'group': '1960.102', 'group_order': 1960, 'image': None, 'label': '1960.102.2al', 'multiplicity': 24, 'nt': [140, 0], 'qdim': 48, 'qvalues': [48, 48, -48, -48, 0, 0, 0, 0, -12, -12, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, 20, -8, 20, 20, -8, -8, -8, 20, 20, -8, -8, 20, 12, 12, -12, -12, 12, 12, -8, 8, 8, 8, 8, -8, 8, 8, -8, 8, -8, 8, 8, -8, -8, 8, 8, 8, -8, 8, -8, 8, -20, 8, -20, 8, 8, 8, -8, 8, -20, -8, 8, 8, 8, 8, 20, -20, 8, -20, 8, 8, -20, 8, 8, -20, 20, 8, 8, 8, 8, -8, 8, -8, 20, 8, -8, -20, -8, -8, -20, -8, 8, 8, -8, -20, 8, -8, 20, 8, 20, -20, -8, 8, -8, 20, -20, 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, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, -5, -5, -5, -5, 2, -5, 2, -5, -5, -5, 2, -5, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, -5, 2, 2, 2, 2, 2, -5, 2, 2, 2, -5, 2, -5, 2, -5, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, -5, 2, 2, -5, 2, -2, 2, 5, 2, -5, -5, 2, 2, 2, -2, -2, -2, 2, 5, 2, 5, -2, 5, -2, 2, -5, -2, 2, 5, -2, -2, 2, -5, 5, 5, -2, 5, -2, -2, 2, -2, -2, -2, -2, -2, 5, -5, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 5, -2, 2, -2, -2, -2, 5, 2, -2, -2, -2, 5, -2, -5, 2, 2, 2, 2, 2, -2, -2, 5, 5, -2, -2, -2, -2, 5, -5, -2, -2, 5, -2, -2, 5, -2, 2, 2, -2, 5, -2, -2, -2, 5, -2, -5, 2, 2, 2, -2, -2, 2, -2, 2, 2, 2, -5, 5, -5, -5, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 5, -2, 5, 5, -5, -2, -2, -2, -2, -2, 2, 2, -2, 2, 2, 5, -5, -2, 2, 2, -5, 5, -2, -2, -2, -2, -2, -2, 5, -2, -5, -2, -2, -2, 5, -2, -2, -2, 2, 5, -2, -2, -2, -2, -2, -2, -2, 2, -5, -5, 2, 5, -2, -2, -2, -2, 5, -2, 5, -2, -2, -2, -2, -2, 2, -2, -2, -2, 5, 5, 2, 5, -2, -2, -2, -2, 2, 5, 5, -2, -2, 2, -2, -2, -2, 5, -2, 2, -5, -2, 2, 2, 5, 2, -2, 5, -2, -2, 2, 2, -2, 2, -2, -2, 5, 2, 2, -2, -2, -2, -2, -2, 5, -2, -2, -2, 5, 5, -2, -2, -2, -2, -5, 2, -2, -5, 2, 5, -2, 2, -2, 2, 2, 5, 2, -2, -2, 2, -5, 2, -2, 5, 2, -5, 2, -5, -5, 2, -2, -2, 5], 'schur_index': 1}
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id: 12172907
{'cdim': 2, 'counter': 51, 'faithful': False, 'group': '1960.102', 'group_order': 1960, 'image': None, 'label': '1960.102.2am', 'multiplicity': 24, 'nt': [140, 0], 'qdim': 48, 'qvalues': [48, 48, -48, -48, 0, 0, 0, 0, -12, -12, -8, -8, -8, -8, -8, -8, -8, -8, 20, -8, 20, 20, -8, 20, -8, -8, -8, -8, -8, 20, -8, 20, -8, -8, -8, -8, -8, 12, 12, -12, -12, 12, 12, -8, 8, 8, 8, 8, -8, 8, 8, -8, 8, -8, 8, 8, -8, -8, 8, 8, 8, 20, 8, -8, 8, 8, 8, 8, -20, 8, 8, 20, -20, 8, -8, -20, 8, 8, 8, -8, 8, -20, 8, 8, -20, 8, 8, -20, 8, -8, -20, -20, -20, 8, 20, -20, -8, -8, 8, -8, 8, -8, -8, 8, 20, -20, -20, -8, 8, 8, -8, -8, 8, -8, 8, 20, 8, -8, -8, 8, 8, 20, 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, 2, -5, 2, 2, 2, 2, 2, 2, -5, 2, 2, -5, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, -5, 2, -5, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, -5, 2, -5, -5, 2, 2, -5, -5, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, -5, 2, -5, -5, 2, 2, -5, 2, 2, 2, 2, -5, -5, -5, 2, 2, 2, -5, 2, -5, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, 2, 2, 2, -5, 5, -2, 5, -5, -2, 2, -2, -2, -2, -2, -5, 2, 5, -5, -2, 5, -2, 2, 2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, 5, -2, 2, -2, 2, -2, -5, 5, -2, -2, -2, 5, 5, 5, 5, 5, -2, -2, 2, -2, 5, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, -2, 5, 5, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -5, -2, 5, -2, -2, -2, -2, -2, -2, -2, 2, -2, 5, -2, 5, -2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -5, -2, 5, 2, -2, 2, -5, -5, 2, -2, 2, 2, 2, 2, -5, -5, 2, 2, 2, 2, 5, -2, -2, 5, -2, -2, 2, -2, -2, -2, -2, 5, -5, 2, -2, 2, -5, -2, 2, 5, 2, -5, 2, -2, -2, 5, -2, -2, -2, -2, -2, -2, 2, -2, -2, 5, -2, 5, 5, -2, 2, -2, 5, -2, -2, -2, -2, 5, -2, -5, 2, 2, -5, -2, -2, -2, 5, 5, -2, -2, -2, -2, -2, -2, -2, 5, 2, 5, -2, -2, -2, -2, 2, -2, -2, 5, 5, 5, 2, -2, -2, -2, -2, 2, -2, 5, 5, -2, -2, -5, 2, -2, -5, 2, -2, 2, -2, -2, 5, -2, 2, -5, -2, 2, 5, -2, -2, 2, -5, 5, 5, -2, 5, -2, -2, 5, -2, 5, -2, -2, -2, -2, -2, -2, 2, 2, 5, 2, -5, -2, -2, 2, -2, 2, 2, -2, -5, 5, 5, -5, 2, 2, 5, -2, -5, 2, 2, 2, 2, 2, -2, -2, -2], 'schur_index': 1}
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id: 12172908
{'cdim': 2, 'counter': 52, 'faithful': False, 'group': '1960.102', 'group_order': 1960, 'image': None, 'label': '1960.102.2an', 'multiplicity': 24, 'nt': [140, 0], 'qdim': 48, 'qvalues': [48, 48, -48, -48, 0, 0, 0, 0, -12, -12, -8, -8, -8, -8, -8, -8, -8, 20, -8, 20, -8, -8, -8, -8, -8, -8, 20, -8, -8, -8, 20, -8, -8, -8, 20, 20, -8, 12, 12, -12, -12, 12, 12, -8, 8, 8, 8, 8, -8, 8, 8, -8, 8, -8, 8, 8, -8, -8, 8, 8, 8, -8, -20, 20, -20, 8, -20, 8, 8, 8, -20, -8, 8, 8, -8, 8, -20, -20, 8, -8, 8, 8, 8, 8, 8, 8, 8, 8, 8, -8, 8, 8, 8, -20, -8, 8, 20, -8, -20, 20, 8, 20, 20, 8, -8, 8, 8, 20, 8, 8, -8, -8, -20, -8, 8, -8, -20, -8, -8, 8, 8, -8, -20, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, 2, 2, -5, -5, 2, 2, 2, 2, -5, 2, 2, 2, -5, 2, -5, -5, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, -5, 2, 2, 2, -5, 2, -5, 2, -5, 2, -5, 2, 2, 2, 2, 2, 2, -5, 2, -5, 2, -5, 2, 2, -5, -5, 2, 2, -5, 2, -5, 2, 2, 2, 2, 2, -5, 2, 2, 2, -5, 2, 2, 2, 2, -5, 5, 2, -2, 2, 2, 2, -5, -5, 2, -2, 5, -2, 2, -2, -5, -2, 5, -2, 5, 2, 2, -2, 2, -2, -2, 5, 2, 2, -2, -2, -2, -2, 5, 5, 2, -2, 5, -2, 5, -2, -2, 2, 5, -5, -2, 2, -2, -2, 5, 5, -2, -2, -2, -2, -2, 5, -2, 2, 5, -2, -2, 5, 5, 2, -2, -2, 5, -2, -2, 2, 5, -2, -2, -2, 2, 5, 5, 5, -2, 5, 2, -5, 2, -5, -5, 2, -2, -2, -2, -2, -2, -2, 5, -2, -2, 2, -2, -2, -2, -2, 5, -2, 5, 2, 2, 5, -2, -2, -2, -2, -2, -2, 2, 2, -5, 2, -2, -2, -5, 5, -5, 2, 2, 2, -2, 2, 2, -5, -5, 2, 2, 2, 2, -5, -5, -2, -2, -2, -2, -2, -2, 2, -2, 5, 5, 5, -2, 2, 2, 5, -5, 2, -2, 2, -2, -5, 2, 2, -2, 5, -2, -2, -2, 5, -2, -2, -2, 2, -2, 5, -2, -2, -2, -2, -2, 2, -2, -2, 5, -2, -2, 5, -2, -2, 2, 2, 2, 2, -2, 5, -2, -2, -2, -2, 5, -2, 5, -2, 5, -2, -2, -5, -2, 5, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 5, -2, 2, -2, -2, -2, -2, -2, 2, 2, 5, 2, -5, -2, 2, 5, -2, -2, -2, -5, 2, -2, -5, -2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, 5, -2, -2, -2, 2, -5, -2, 2, 2, -2, 5, -5, -2, -5, 2, -2, 2, -2, -2, 2, 2, -5, -2, -2, 2, 2, 2, 2, 2, 2, -2, 5, -2], 'schur_index': 1}
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group 1960.102 does not appear in gps_char
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gps_subgroup_search • Show schema
Hide schema
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id: 107806848
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': True, 'core_order': 1960, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 70, 'label': '1960.102.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1960.102', 'subgroup_hash': 102, 'subgroup_order': 1960, 'subgroup_tex': 'C_{70}:C_{28}', 'supersolvable': True, 'sylow': 0}
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id: 107806859
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': True, 'core_order': 980, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1960.102.2.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', 'S', 'C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '980.34', 'subgroup_hash': 34, 'subgroup_order': 980, 'subgroup_tex': 'C_{14}\\times C_{70}', 'supersolvable': True, 'sylow': 0}
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id: 107806870
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': True, 'centralizer_order': 28, 'characteristic': False, 'core_order': 980, 'counter': 3, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1960.102.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '980.15', 'subgroup_hash': 15, 'subgroup_order': 980, 'subgroup_tex': 'C_{35}:C_{28}', 'supersolvable': True, 'sylow': 0}
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id: 107806881
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': True, 'centralizer_order': 28, 'characteristic': False, 'core_order': 980, 'counter': 4, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1960.102.2.b1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '980.15', 'subgroup_hash': 15, 'subgroup_order': 980, 'subgroup_tex': 'C_{35}:C_{28}', 'supersolvable': True, 'sylow': 0}
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id: 107806892
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': True, 'core_order': 490, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1960.102.4.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': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '490.10', 'subgroup_hash': 10, 'subgroup_order': 490, 'subgroup_tex': 'C_7\\times C_{70}', 'supersolvable': True, 'sylow': 0}
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id: 107806903
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 490, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1960.102.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '490.10', 'subgroup_hash': 10, 'subgroup_order': 490, 'subgroup_tex': 'C_7\\times C_{70}', 'supersolvable': True, 'sylow': 0}
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id: 107806914
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 490, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1960.102.4.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '490.10', 'subgroup_hash': 10, 'subgroup_order': 490, 'subgroup_tex': 'C_7\\times C_{70}', 'supersolvable': True, 'sylow': 0}
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id: 107806925
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 196, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 14, 'label': '1960.102.5.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5.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': 5, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '392.26', 'subgroup_hash': 26, 'subgroup_order': 392, 'subgroup_tex': 'C_{14}:C_{28}', 'supersolvable': True, 'sylow': 0}
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id: 107806936
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': True, 'centralizer_order': 28, 'characteristic': True, 'core_order': 280, 'counter': 9, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1960.102.7.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '7.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '7.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 7, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '280.27', 'subgroup_hash': 27, 'subgroup_order': 280, 'subgroup_tex': 'C_{70}:C_4', 'supersolvable': True, 'sylow': 0}
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id: 107806849
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 140, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1960.102.7.b1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '280.22', 'subgroup_hash': 22, 'subgroup_order': 280, 'subgroup_tex': 'C_{10}:C_{28}', 'supersolvable': True, 'sylow': 0}
-
id: 107806850
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': True, 'core_order': 245, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 35, 'label': '1960.102.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '245.2', 'subgroup_hash': 2, 'subgroup_order': 245, 'subgroup_tex': 'C_7\\times C_{35}', 'supersolvable': True, 'sylow': 0}
-
id: 107806851
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': True, 'core_order': 196, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1960.102.10.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': '10.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '196.12', 'subgroup_hash': 12, 'subgroup_order': 196, 'subgroup_tex': 'C_{14}^2', 'supersolvable': True, 'sylow': 0}
-
id: 107806852
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 98, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1960.102.10.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '196.5', 'subgroup_hash': 5, 'subgroup_order': 196, 'subgroup_tex': 'C_7:C_{28}', 'supersolvable': True, 'sylow': 0}
-
id: 107806853
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 98, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1960.102.10.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '196.5', 'subgroup_hash': 5, 'subgroup_order': 196, 'subgroup_tex': 'C_7:C_{28}', 'supersolvable': True, 'sylow': 0}
-
id: 107806854
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': True, 'core_order': 140, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1960.102.14.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '14.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '14.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '140.11', 'subgroup_hash': 11, 'subgroup_order': 140, 'subgroup_tex': 'C_2\\times C_{70}', 'supersolvable': True, 'sylow': 0}
-
id: 107806855
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': True, 'core_order': 140, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1960.102.14.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '14.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '14.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '140.11', 'subgroup_hash': 11, 'subgroup_order': 140, 'subgroup_tex': 'C_2\\times C_{70}', 'supersolvable': True, 'sylow': 0}
-
id: 107806856
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': True, 'centralizer_order': 28, 'characteristic': False, 'core_order': 140, 'counter': 17, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1960.102.14.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '14.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '14.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '140.3', 'subgroup_hash': 3, 'subgroup_order': 140, 'subgroup_tex': 'C_{35}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 107806857
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': True, 'centralizer_order': 28, 'characteristic': False, 'core_order': 140, 'counter': 18, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1960.102.14.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '14.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '14.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '140.3', 'subgroup_hash': 3, 'subgroup_order': 140, 'subgroup_tex': 'C_{35}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 107806858
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 20, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1960.102.14.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '140.11', 'subgroup_hash': 11, 'subgroup_order': 140, 'subgroup_tex': 'C_2\\times C_{70}', 'supersolvable': True, 'sylow': 0}
-
id: 107806860
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 20, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1960.102.14.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '140.11', 'subgroup_hash': 11, 'subgroup_order': 140, 'subgroup_tex': 'C_2\\times C_{70}', 'supersolvable': True, 'sylow': 0}
-
id: 107806861
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 20, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1960.102.14.d1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.d1.c1', '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': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '140.11', 'subgroup_hash': 11, 'subgroup_order': 140, 'subgroup_tex': 'C_2\\times C_{70}', 'supersolvable': True, 'sylow': 0}
-
id: 107806862
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 70, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1960.102.14.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '140.1', 'subgroup_hash': 1, 'subgroup_order': 140, 'subgroup_tex': 'C_5:C_{28}', 'supersolvable': True, 'sylow': 0}
-
id: 107806863
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 70, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1960.102.14.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '140.1', 'subgroup_hash': 1, 'subgroup_order': 140, 'subgroup_tex': 'C_5:C_{28}', 'supersolvable': True, 'sylow': 0}
-
id: 107806864
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': True, 'core_order': 98, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1960.102.20.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': '20.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '98.5', 'subgroup_hash': 5, 'subgroup_order': 98, 'subgroup_tex': 'C_7\\times C_{14}', 'supersolvable': True, 'sylow': 0}
-
id: 107806865
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 98, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1960.102.20.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '98.5', 'subgroup_hash': 5, 'subgroup_order': 98, 'subgroup_tex': 'C_7\\times C_{14}', 'supersolvable': True, 'sylow': 0}
-
id: 107806866
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 98, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1960.102.20.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '98.5', 'subgroup_hash': 5, 'subgroup_order': 98, 'subgroup_tex': 'C_7\\times C_{14}', 'supersolvable': True, 'sylow': 0}
-
id: 107806867
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': True, 'core_order': 70, 'counter': 27, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1960.102.28.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '70.4', 'subgroup_hash': 4, 'subgroup_order': 70, 'subgroup_tex': 'C_{70}', 'supersolvable': True, 'sylow': 0}
-
id: 107806868
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': True, 'core_order': 70, 'counter': 28, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1960.102.28.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '70.4', 'subgroup_hash': 4, 'subgroup_order': 70, 'subgroup_tex': 'C_{70}', 'supersolvable': True, 'sylow': 0}
-
id: 107806869
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 70, 'counter': 29, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1960.102.28.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '70.4', 'subgroup_hash': 4, 'subgroup_order': 70, 'subgroup_tex': 'C_{70}', 'supersolvable': True, 'sylow': 0}
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id: 107806871
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 70, 'counter': 30, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1960.102.28.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '70.4', 'subgroup_hash': 4, 'subgroup_order': 70, 'subgroup_tex': 'C_{70}', 'supersolvable': True, 'sylow': 0}
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id: 107806872
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 70, 'counter': 31, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1960.102.28.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{28}', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '70.4', 'subgroup_hash': 4, 'subgroup_order': 70, 'subgroup_tex': 'C_{70}', 'supersolvable': True, 'sylow': 0}
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id: 107806873
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 70, 'counter': 32, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1960.102.28.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{28}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '70.4', 'subgroup_hash': 4, 'subgroup_order': 70, 'subgroup_tex': 'C_{70}', 'supersolvable': True, 'sylow': 0}
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id: 107806874
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 10, 'counter': 33, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.28.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '70.4', 'subgroup_hash': 4, 'subgroup_order': 70, 'subgroup_tex': 'C_{70}', 'supersolvable': True, 'sylow': 0}
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id: 107806875
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 10, 'counter': 34, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.28.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '70.4', 'subgroup_hash': 4, 'subgroup_order': 70, 'subgroup_tex': 'C_{70}', 'supersolvable': True, 'sylow': 0}
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id: 107806876
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 10, 'counter': 35, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.28.e1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.e1.c1', '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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '70.4', 'subgroup_hash': 4, 'subgroup_order': 70, 'subgroup_tex': 'C_{70}', 'supersolvable': True, 'sylow': 0}
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id: 107806877
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 10, 'counter': 36, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.28.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '70.4', 'subgroup_hash': 4, 'subgroup_order': 70, 'subgroup_tex': 'C_{70}', 'supersolvable': True, 'sylow': 0}
-
id: 107806878
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 10, 'counter': 37, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.28.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '70.4', 'subgroup_hash': 4, 'subgroup_order': 70, 'subgroup_tex': 'C_{70}', 'supersolvable': True, 'sylow': 0}
-
id: 107806879
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 10, 'counter': 38, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.28.f1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.f1.c1', '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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '70.4', 'subgroup_hash': 4, 'subgroup_order': 70, 'subgroup_tex': 'C_{70}', 'supersolvable': True, 'sylow': 0}
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id: 107806880
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 10, 'counter': 39, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.28.f1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.f1.d1', '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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '70.4', 'subgroup_hash': 4, 'subgroup_order': 70, 'subgroup_tex': 'C_{70}', 'supersolvable': True, 'sylow': 0}
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id: 107806882
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 10, 'counter': 40, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.28.f1.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.f1.e1', '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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '70.4', 'subgroup_hash': 4, 'subgroup_order': 70, 'subgroup_tex': 'C_{70}', 'supersolvable': True, 'sylow': 0}
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id: 107806883
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 10, 'counter': 41, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.28.f1.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.f1.f1', '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': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '70.4', 'subgroup_hash': 4, 'subgroup_order': 70, 'subgroup_tex': 'C_{70}', 'supersolvable': True, 'sylow': 0}
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id: 107806884
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 28, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1960.102.35.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '35.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': 35, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
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id: 107806885
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 28, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1960.102.35.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '35.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 35, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
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id: 107806886
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': True, 'core_order': 49, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 7, 'label': '1960.102.40.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': '40.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '49.2', 'subgroup_hash': 2, 'subgroup_order': 49, 'subgroup_tex': 'C_7^2', 'supersolvable': True, 'sylow': 7}
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id: 107806887
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 20, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 10, 'label': '1960.102.49.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '49.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': 49, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.7', 'subgroup_hash': 7, 'subgroup_order': 40, 'subgroup_tex': 'C_{10}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 107806888
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': True, 'core_order': 35, 'counter': 46, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1960.102.56.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.6', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{14}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '35.1', 'subgroup_hash': 1, 'subgroup_order': 35, 'subgroup_tex': 'C_{35}', 'supersolvable': True, 'sylow': 0}
-
id: 107806889
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': True, 'core_order': 35, 'counter': 47, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1960.102.56.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.8', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{28}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '35.1', 'subgroup_hash': 1, 'subgroup_order': 35, 'subgroup_tex': 'C_{35}', 'supersolvable': True, 'sylow': 0}
-
id: 107806890
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 5, 'counter': 48, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.56.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '35.1', 'subgroup_hash': 1, 'subgroup_order': 35, 'subgroup_tex': 'C_{35}', 'supersolvable': True, 'sylow': 0}
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id: 107806891
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 5, 'counter': 49, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.56.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '35.1', 'subgroup_hash': 1, 'subgroup_order': 35, 'subgroup_tex': 'C_{35}', 'supersolvable': True, 'sylow': 0}
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id: 107806893
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 5, 'counter': 50, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.56.c1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.c1.c1', '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': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '35.1', 'subgroup_hash': 1, 'subgroup_order': 35, 'subgroup_tex': 'C_{35}', 'supersolvable': True, 'sylow': 0}
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id: 107806894
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': True, 'central_factor': False, 'centralizer_order': 1960, 'characteristic': True, 'core_order': 28, 'counter': 51, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1960.102.70.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '70.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '70.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 70, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{35}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
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id: 107806895
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': True, 'core_order': 28, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1960.102.70.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '70.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '70.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 70, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7\\times D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
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id: 107806896
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 4, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1960.102.70.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '70.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
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id: 107806897
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 4, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1960.102.70.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '70.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
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id: 107806898
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 4, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1960.102.70.c1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '70.c1.c1', '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': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
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id: 107806899
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 14, 'counter': 56, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.70.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '70.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
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id: 107806900
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 14, 'counter': 57, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.70.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '70.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
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id: 107806901
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 14, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1960.102.70.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
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id: 107806902
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 14, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1960.102.70.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
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id: 107806904
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': True, 'core_order': 20, 'counter': 60, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1960.102.98.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '98.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '98.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 98, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7\\times D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 107806905
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 10, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1960.102.98.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '98.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 98, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.1', 'subgroup_hash': 1, 'subgroup_order': 20, 'subgroup_tex': 'C_5:C_4', 'supersolvable': True, 'sylow': 0}
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id: 107806906
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 10, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1960.102.98.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '98.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 98, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.1', 'subgroup_hash': 1, 'subgroup_order': 20, 'subgroup_tex': 'C_5:C_4', 'supersolvable': True, 'sylow': 0}
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id: 107806907
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': True, 'central_factor': False, 'centralizer_order': 1960, 'characteristic': True, 'core_order': 14, 'counter': 63, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1960.102.140.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '140.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '140.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 140, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{70}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
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id: 107806908
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': True, 'core_order': 14, 'counter': 64, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1960.102.140.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '140.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '140.9', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 140, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
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id: 107806909
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': True, 'central_factor': False, 'centralizer_order': 1960, 'characteristic': False, 'core_order': 14, 'counter': 65, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1960.102.140.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '140.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '140.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 140, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{35}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
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id: 107806910
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': True, 'central_factor': False, 'centralizer_order': 1960, 'characteristic': False, 'core_order': 14, 'counter': 66, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1960.102.140.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '140.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '140.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 140, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{35}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
-
id: 107806911
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 14, 'counter': 67, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1960.102.140.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '140.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '140.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 140, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_{28}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
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id: 107806912
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 14, 'counter': 68, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1960.102.140.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '140.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '140.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 140, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_{28}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
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id: 107806913
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 2, 'counter': 69, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.140.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '140.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
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id: 107806915
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 2, 'counter': 70, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.140.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '140.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
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id: 107806916
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 2, 'counter': 71, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.140.e1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '140.e1.c1', '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': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
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id: 107806917
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 2, 'counter': 72, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.140.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '140.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
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id: 107806918
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 2, 'counter': 73, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.140.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '140.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
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id: 107806919
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 2, 'counter': 74, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.140.f1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '140.f1.c1', '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': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
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id: 107806920
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 2, 'counter': 75, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.140.f1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '140.f1.d1', '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': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
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id: 107806921
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 2, 'counter': 76, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.140.f1.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '140.f1.e1', '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': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
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id: 107806922
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 2, 'counter': 77, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.140.f1.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '140.f1.f1', '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': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
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id: 107806923
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': True, 'core_order': 10, 'counter': 78, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1960.102.196.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '196.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '196.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 196, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7\\times D_{14}', '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: 107806924
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 10, 'counter': 79, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1960.102.196.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '196.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '196.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 196, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:C_{28}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 107806926
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 10, 'counter': 80, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1960.102.196.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '196.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '196.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 196, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:C_{28}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 107806927
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 4, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1960.102.245.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '245.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': 245, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 2}
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id: 107806928
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': True, 'central_factor': False, 'centralizer_order': 1960, 'characteristic': True, 'core_order': 7, 'counter': 82, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1960.102.280.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '280.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '280.27', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 280, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{70}:C_4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 0}
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id: 107806929
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': True, 'core_order': 7, 'counter': 83, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1960.102.280.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '280.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '280.22', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 22, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 280, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:C_{28}', 'simple': True, 'solvable': True, 'special_labels': ['C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 0}
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id: 107806930
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 1, 'counter': 84, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.280.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '280.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 0}
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id: 107806931
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 1, 'counter': 85, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.280.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '280.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 0}
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id: 107806932
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': False, 'core_order': 1, 'counter': 86, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.280.c1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '280.c1.c1', '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': 280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 0}
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id: 107806933
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 980, 'characteristic': True, 'core_order': 5, 'counter': 87, 'cyclic': True, 'direct': False, 'hall': 5, 'label': '1960.102.392.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '392.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '392.26', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 26, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 392, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{14}:C_{28}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
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id: 107806934
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': True, 'central_factor': False, 'centralizer_order': 1960, 'characteristic': True, 'core_order': 4, 'counter': 88, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1960.102.490.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '490.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '490.8', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 490, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7\\times D_{35}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 107806935
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 2, 'counter': 89, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.490.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '490.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 490, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 107806937
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 2, 'counter': 90, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1960.102.490.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '490.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 490, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 107806938
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': True, 'central_factor': False, 'centralizer_order': 1960, 'characteristic': True, 'core_order': 2, 'counter': 91, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1960.102.980.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '980.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '980.32', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 32, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 980, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7\\times D_{70}', 'simple': True, 'solvable': True, 'special_labels': ['Phi'], '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: 107806939
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': True, 'central_factor': False, 'centralizer_order': 1960, 'characteristic': False, 'core_order': 2, 'counter': 92, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1960.102.980.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '980.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '980.15', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 980, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{35}:C_{28}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, '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: 107806940
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': True, 'central_factor': False, 'centralizer_order': 1960, 'characteristic': False, 'core_order': 2, 'counter': 93, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1960.102.980.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '980.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '980.15', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 980, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{35}:C_{28}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, '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: 107806941
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1960.102', 'ambient_counter': 102, 'ambient_order': 1960, 'ambient_tex': 'C_{70}:C_{28}', 'central': True, 'central_factor': False, 'centralizer_order': 1960, 'characteristic': True, 'core_order': 1, 'counter': 94, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1960.102.1960.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1960.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '1960.102', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 102, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1960, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{70}:C_{28}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', 'D2', 'C6'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
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gps_subgroup_data • Show schema
Hide schema
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id: 107806848
{'ambient': '1960.102', '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': '70.a1.a1', 'complements': ['1960.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.b1.b1', '5.a1.a1', '7.a1.a1', '7.b1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7920, 8023, 1785, 7359, 6699, 3201, 7324, 2171], 'generators': [7, 280, 4, 14, 980, 1176], 'label': '1960.102.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.b1.b1', '7.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '70.3', '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': '70.3'}
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id: 107806849
{'ambient': '1960.102', 'aut_centralizer_order': 6, 'aut_label': '7.b1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '960.11160', 'aut_weyl_index': 42, 'centralizer': '70.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['14.a1.a1', '14.e1.a1', '14.e1.b1', '35.a1.a1', '49.a1.a1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [8577, -1, 2475, -1, 5836, -1, 7067, -1], 'generators': [7, 4, 14, 980, 1176], 'label': '1960.102.7.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '7.b1.a1', 'projective_image': '70.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7.b1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
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id: 107806850
{'ambient': '1960.102', 'aut_centralizer_order': 280, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '144.178', 'aut_weyl_index': 280, 'centralizer': '2.a1.a1', 'complements': ['245.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.b1.b1'], 'contains': ['40.a1.a1', '56.a1.a1', '56.b1.a1', '56.c1.a1', '56.c1.b1', '56.c1.c1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1820, 5991, 7205, 4147, 1500, 2464, 1787, 7635], 'generators': [1176, 280, 4], 'label': '1960.102.8.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.b1.a1', '4.b1.b1', '4.a1.a1'], 'normal_contains': ['40.a1.a1', '56.a1.a1', '56.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '280.27', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 107806851
{'ambient': '1960.102', 'aut_centralizer_order': 560, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '72.50', 'aut_weyl_index': 560, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '20.b1.a1', '20.b1.b1', '70.a1.a1', '70.b1.a1', '70.c1.a1', '70.c1.b1', '70.c1.c1'], 'core': '10.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6790, 3856, 3367, 2587, 5569, 4662, 5503, 4255], 'generators': [14, 4, 280, 980], 'label': '1960.102.10.a1.a1', 'mobius_quo': 2, 'mobius_sub': 5, 'normal_closure': '10.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['20.b1.a1', '20.b1.b1', '20.a1.a1', '70.a1.a1', '70.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.a1.a1', 'projective_image': '70.3', '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'}
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id: 107806852
{'ambient': '1960.102', 'aut_centralizer_order': 8, 'aut_label': '10.b1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '504.178', 'aut_weyl_index': 80, 'centralizer': '70.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '70.d1.a1', '70.e1.a1'], 'core': '20.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9063, -1, 1292, -1, 9669, -1, 8489, -1], 'generators': [7, 14, 280, 4], 'label': '1960.102.10.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '10.b1.a1', 'projective_image': '140.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.b1.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
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id: 107806853
{'ambient': '1960.102', 'aut_centralizer_order': 8, 'aut_label': '10.b1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '504.178', 'aut_weyl_index': 80, 'centralizer': '70.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '5.a1.a1'], 'contains': ['20.a1.a1', '70.d1.b1', '70.e1.b1'], 'core': '20.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9063, -1, 176, -1, 9669, -1, 9803, -1], 'generators': [315, 14, 280, 4], 'label': '1960.102.10.b1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '10.b1.b1', 'projective_image': '140.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.b1.b1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
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id: 107806854
{'ambient': '1960.102', 'aut_centralizer_order': 840, 'aut_label': '14.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.44', 'aut_weyl_index': 840, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '7.b1.a1'], 'contains': ['28.a1.a1', '28.c1.a1', '28.c1.b1', '70.a1.a1', '98.a1.a1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5559, 617, 5130, 9306, 3512, 7536, 4713, 5034], 'generators': [14, 1176, 4, 980], 'label': '1960.102.14.a1.a1', 'mobius_quo': 2, 'mobius_sub': 7, 'normal_closure': '14.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['28.c1.a1', '28.c1.b1', '28.a1.a1', '70.a1.a1', '98.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '14.a1.a1', 'projective_image': '70.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '14.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 107806855
{'ambient': '1960.102', 'aut_centralizer_order': 840, 'aut_label': '14.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.44', 'aut_weyl_index': 840, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '7.a1.a1'], 'contains': ['28.b1.a1', '28.d1.a1', '28.d1.b1', '70.b1.a1', '98.a1.a1'], 'core': '14.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4498, 7284, 4316, 5473, 4238, 3627, 5143, 3477], 'generators': [14, 1176, 280, 980], 'label': '1960.102.14.b1.a1', 'mobius_quo': 2, 'mobius_sub': 1, 'normal_closure': '14.b1.a1', 'normal_contained_in': ['2.a1.a1', '7.a1.a1'], 'normal_contains': ['28.d1.a1', '28.d1.b1', '28.b1.a1', '70.b1.a1', '98.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '14.b1.a1', 'projective_image': '490.8', 'quotient_action_image': '2.1', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '14.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 107806856
{'ambient': '1960.102', 'aut_centralizer_order': 12, 'aut_label': '14.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1680.934', 'aut_weyl_index': 24, 'centralizer': '70.a1.a1', 'complements': ['140.c1.a1', '140.f1.b1', '140.f1.a1', '140.f1.c1', '140.c1.b1', '140.f1.e1', '140.f1.d1', '140.f1.f1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '7.a1.a1'], 'contains': ['28.b1.a1', '70.e1.a1', '98.b1.a1'], 'core': '14.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7447, 9137, 2255, 6979, 7563, 1316, 6914, 716], 'generators': [7, 1176, 280, 14], 'label': '1960.102.14.c1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '14.c1.a1', 'normal_contained_in': ['2.b1.a1', '7.a1.a1'], 'normal_contains': ['28.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '14.c1.a1', 'projective_image': '980.32', 'quotient_action_image': '1.1', 'quotient_action_kernel': '14.2', 'quotient_action_kernel_order': 14, 'quotient_fusion': None, 'short_label': '14.c1.a1', 'subgroup_fusion': None, 'weyl_group': '70.3'}
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id: 107806857
{'ambient': '1960.102', 'aut_centralizer_order': 12, 'aut_label': '14.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1680.934', 'aut_weyl_index': 24, 'centralizer': '70.a1.a1', 'complements': ['140.c1.a1', '140.f1.b1', '140.f1.a1', '140.f1.c1', '140.c1.b1', '140.f1.e1', '140.f1.d1', '140.f1.f1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '7.a1.a1'], 'contains': ['28.b1.a1', '70.e1.b1', '98.b1.b1'], 'core': '14.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7447, 9137, 877, 7801, 7563, 1316, 8111, 1506], 'generators': [315, 1176, 280, 14], 'label': '1960.102.14.c1.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '14.c1.b1', 'normal_contained_in': ['2.b1.b1', '7.a1.a1'], 'normal_contains': ['28.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '14.c1.b1', 'projective_image': '980.32', 'quotient_action_image': '1.1', 'quotient_action_kernel': '14.2', 'quotient_action_kernel_order': 14, 'quotient_fusion': None, 'short_label': '14.c1.b1', 'subgroup_fusion': None, 'weyl_group': '70.3'}
-
id: 107806858
{'ambient': '1960.102', 'aut_centralizer_order': 140, 'aut_label': '14.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.44', 'aut_weyl_index': 840, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['28.e1.a1', '28.f1.a1', '28.f1.d1', '70.c1.a1', '98.a1.a1'], 'core': '98.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1607, -1, 8893, -1, 2787, -1, 3420, -1], 'generators': [14, 1176, 564, 980], 'label': '1960.102.14.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '14.d1.a1', 'projective_image': '490.8', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806859
{'ambient': '1960.102', 'aut_centralizer_order': 140, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '288.1018', 'aut_weyl_index': 140, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.b1.b1', '10.a1.a1', '14.a1.a1', '14.b1.a1', '14.d1.a1', '14.d1.b1', '14.d1.c1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4741, 5651, 5471, 5328, 4238, 4662, 4498, 4255], 'generators': [14, 1176, 4, 980, 280], 'label': '1960.102.2.a1.a1', 'mobius_quo': -2, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.b1.b1', '4.a1.a1', '10.a1.a1', '14.a1.a1', '14.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '70.3', '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: 107806860
{'ambient': '1960.102', 'aut_centralizer_order': 140, 'aut_label': '14.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.44', 'aut_weyl_index': 840, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['28.e1.b1', '28.f1.b1', '28.f1.e1', '70.c1.b1', '98.a1.a1'], 'core': '98.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1607, -1, 9824, -1, 2787, -1, 4282, -1], 'generators': [14, 1176, 284, 980], 'label': '1960.102.14.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '14.d1.b1', 'projective_image': '490.8', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806861
{'ambient': '1960.102', 'aut_centralizer_order': 140, 'aut_label': '14.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.44', 'aut_weyl_index': 840, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['28.e1.c1', '28.f1.c1', '28.f1.f1', '70.c1.c1', '98.a1.a1'], 'core': '98.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1607, -1, 6270, -1, 2787, -1, 3851, -1], 'generators': [14, 1176, 844, 980], 'label': '1960.102.14.d1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '14.d1.c1', 'projective_image': '490.8', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.d1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806862
{'ambient': '1960.102', 'aut_centralizer_order': 12, 'aut_label': '14.e1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '240.200', 'aut_weyl_index': 168, 'centralizer': '70.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '7.b1.a1'], 'contains': ['28.a1.a1', '70.d1.a1', '98.b1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [8057, -1, 3834, -1, 6926, -1, 6536, -1], 'generators': [7, 14, 1176, 4], 'label': '1960.102.14.e1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '14.e1.a1', 'projective_image': '140.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.e1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
-
id: 107806863
{'ambient': '1960.102', 'aut_centralizer_order': 12, 'aut_label': '14.e1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '240.200', 'aut_weyl_index': 168, 'centralizer': '70.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '7.b1.a1'], 'contains': ['28.a1.a1', '70.d1.b1', '98.b1.b1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [8057, -1, 1533, -1, 6926, -1, 7734, -1], 'generators': [315, 14, 1176, 4], 'label': '1960.102.14.e1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '14.e1.b1', 'projective_image': '140.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.e1.b1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
-
id: 107806864
{'ambient': '1960.102', 'aut_centralizer_order': 1120, 'aut_label': '20.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '36.14', 'aut_weyl_index': 1120, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '10.a1.a1', '10.b1.a1', '10.b1.b1'], 'contains': ['40.a1.a1', '140.a1.a1', '140.b1.a1', '140.e1.a1', '140.e1.b1', '140.e1.c1'], 'core': '20.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6475, 5345, 2549, 3291, 7038, 1224, 7567, 1438], 'generators': [14, 280, 4], 'label': '1960.102.20.a1.a1', 'mobius_quo': -1, 'mobius_sub': -10, 'normal_closure': '20.a1.a1', 'normal_contained_in': ['4.a1.a1', '10.a1.a1'], 'normal_contains': ['40.a1.a1', '140.a1.a1', '140.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.a1.a1', 'projective_image': '140.10', '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: 107806865
{'ambient': '1960.102', 'aut_centralizer_order': 560, 'aut_label': '20.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '36.14', 'aut_weyl_index': 1120, 'centralizer': '2.a1.a1', 'complements': ['98.b1.a1', '98.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '10.a1.a1'], 'contains': ['40.a1.a1', '140.c1.a1', '140.d1.a1', '140.f1.a1', '140.f1.b1', '140.f1.c1'], 'core': '20.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3192, 2981, 6510, 500, 2226, 5620, 3383, 9078], 'generators': [980, 280, 4], 'label': '1960.102.20.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '20.b1.a1', 'normal_contained_in': ['4.b1.a1', '10.a1.a1'], 'normal_contains': ['40.a1.a1', '140.c1.a1', '140.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.b1.a1', 'projective_image': '140.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 107806866
{'ambient': '1960.102', 'aut_centralizer_order': 560, 'aut_label': '20.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '36.14', 'aut_weyl_index': 1120, 'centralizer': '2.a1.a1', 'complements': ['98.b1.a1', '98.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '10.a1.a1'], 'contains': ['40.a1.a1', '140.c1.b1', '140.d1.b1', '140.f1.d1', '140.f1.e1', '140.f1.f1'], 'core': '20.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3192, 2981, 3960, 1895, 2226, 5620, 1356, 6191], 'generators': [994, 280, 4], 'label': '1960.102.20.b1.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '20.b1.b1', 'normal_contained_in': ['4.b1.b1', '10.a1.a1'], 'normal_contains': ['40.a1.a1', '140.c1.b1', '140.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '20.b1.b1', 'projective_image': '140.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 107806867
{'ambient': '1960.102', 'aut_centralizer_order': 1680, 'aut_label': '28.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.a1.a1', '14.e1.a1', '14.e1.b1'], 'contains': ['56.a1.a1', '140.a1.a1', '196.a1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5452, 2658, 4470, 9500, 4634, 6578, 7001, 2159], 'generators': [14, 4, 1176], 'label': '1960.102.28.a1.a1', 'mobius_quo': -1, 'mobius_sub': -14, 'normal_closure': '28.a1.a1', 'normal_contained_in': ['4.a1.a1', '14.a1.a1'], 'normal_contains': ['56.a1.a1', '140.a1.a1', '196.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.a1.a1', 'projective_image': '140.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '14.2', 'quotient_action_kernel_order': 14, 'quotient_fusion': None, 'short_label': '28.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 107806868
{'ambient': '1960.102', 'aut_centralizer_order': 1680, 'aut_label': '28.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.b1.a1', '14.c1.a1', '14.c1.b1'], 'contains': ['56.b1.a1', '140.b1.a1', '196.a1.a1'], 'core': '28.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4915, 8550, 3298, 6695, 5026, 266, 7234, 716], 'generators': [14, 280, 1176], 'label': '1960.102.28.b1.a1', 'mobius_quo': -1, 'mobius_sub': -2, 'normal_closure': '28.b1.a1', 'normal_contained_in': ['4.a1.a1', '14.b1.a1', '14.c1.a1', '14.c1.b1'], 'normal_contains': ['56.b1.a1', '140.b1.a1', '196.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.b1.a1', 'projective_image': '980.32', 'quotient_action_image': '2.1', 'quotient_action_kernel': '14.2', 'quotient_action_kernel_order': 14, 'quotient_fusion': None, 'short_label': '28.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 107806869
{'ambient': '1960.102', 'aut_centralizer_order': 840, 'aut_label': '28.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': ['70.e1.a1', '70.e1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '14.a1.a1'], 'contains': ['56.a1.a1', '140.c1.a1', '196.b1.a1'], 'core': '28.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2307, 1161, 7054, 7821, 548, 9734, 2818, 9800], 'generators': [980, 4, 1176], 'label': '1960.102.28.c1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '28.c1.a1', 'normal_contained_in': ['4.b1.a1', '14.a1.a1'], 'normal_contains': ['56.a1.a1', '140.c1.a1', '196.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.c1.a1', 'projective_image': '140.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '14.2', 'quotient_action_kernel_order': 14, 'quotient_fusion': None, 'short_label': '28.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 107806870
{'ambient': '1960.102', 'aut_centralizer_order': 2, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '70.a1.a1', 'complements': ['980.b1.a1', '980.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '10.b1.a1', '14.c1.a1', '14.e1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7920, 8023, 2750, 6689, 7563, 1726, 6555, 504], 'generators': [7, 14, 1176, 4, 280], 'label': '1960.102.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '14.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '140.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '70.3'}
-
id: 107806871
{'ambient': '1960.102', 'aut_centralizer_order': 840, 'aut_label': '28.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': ['70.e1.a1', '70.e1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '14.a1.a1'], 'contains': ['56.a1.a1', '140.c1.b1', '196.b1.b1'], 'core': '28.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2307, 1161, 5731, 8712, 548, 9734, 790, 6913], 'generators': [994, 4, 1176], 'label': '1960.102.28.c1.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '28.c1.b1', 'normal_contained_in': ['4.b1.b1', '14.a1.a1'], 'normal_contains': ['56.a1.a1', '140.c1.b1', '196.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '28.c1.b1', 'projective_image': '140.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '14.2', 'quotient_action_kernel_order': 14, 'quotient_fusion': None, 'short_label': '28.c1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 107806872
{'ambient': '1960.102', 'aut_centralizer_order': 840, 'aut_label': '28.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': ['70.d1.a1', '70.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '14.b1.a1'], 'contains': ['56.b1.a1', '140.d1.a1', '196.b1.a1'], 'core': '28.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1177, 6637, 6031, 4686, 939, 4662, 3050, 8356], 'generators': [980, 280, 1176], 'label': '1960.102.28.d1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '28.d1.a1', 'normal_contained_in': ['4.b1.a1', '14.b1.a1'], 'normal_contains': ['56.b1.a1', '140.d1.a1', '196.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.d1.a1', 'projective_image': '980.15', 'quotient_action_image': '2.1', 'quotient_action_kernel': '14.2', 'quotient_action_kernel_order': 14, 'quotient_fusion': None, 'short_label': '28.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 107806873
{'ambient': '1960.102', 'aut_centralizer_order': 840, 'aut_label': '28.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': ['70.d1.a1', '70.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '14.b1.a1'], 'contains': ['56.b1.a1', '140.d1.b1', '196.b1.b1'], 'core': '28.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1177, 6637, 4768, 5557, 939, 4662, 1023, 5470], 'generators': [994, 280, 1176], 'label': '1960.102.28.d1.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '28.d1.b1', 'normal_contained_in': ['4.b1.b1', '14.b1.a1'], 'normal_contains': ['56.b1.a1', '140.d1.b1', '196.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '28.d1.b1', 'projective_image': '980.15', 'quotient_action_image': '2.1', 'quotient_action_kernel': '14.2', 'quotient_action_kernel_order': 14, 'quotient_fusion': None, 'short_label': '28.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 107806874
{'ambient': '1960.102', 'aut_centralizer_order': 280, 'aut_label': '28.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.d1.a1'], 'contains': ['56.c1.a1', '140.e1.a1', '196.a1.a1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3926, -1, 7475, -1, 2787, -1, 5870, -1], 'generators': [14, 564, 1176], 'label': '1960.102.28.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '28.e1.a1', 'projective_image': '980.32', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.e1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806875
{'ambient': '1960.102', 'aut_centralizer_order': 280, 'aut_label': '28.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.d1.b1'], 'contains': ['56.c1.b1', '140.e1.b1', '196.a1.a1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3926, -1, 8520, -1, 2787, -1, 6335, -1], 'generators': [14, 284, 1176], 'label': '1960.102.28.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '28.e1.b1', 'projective_image': '980.32', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.e1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806876
{'ambient': '1960.102', 'aut_centralizer_order': 280, 'aut_label': '28.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.d1.c1'], 'contains': ['56.c1.c1', '140.e1.c1', '196.a1.a1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3926, -1, 5343, -1, 2787, -1, 6103, -1], 'generators': [14, 844, 1176], 'label': '1960.102.28.e1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '28.e1.c1', 'projective_image': '980.32', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.e1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806877
{'ambient': '1960.102', 'aut_centralizer_order': 140, 'aut_label': '28.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '14.d1.a1'], 'contains': ['56.c1.a1', '140.f1.a1', '196.b1.a1'], 'core': '196.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [473, -1, 9548, -1, 156, -1, 2120, -1], 'generators': [980, 564, 1176], 'label': '1960.102.28.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '28.f1.a1', 'projective_image': '980.15', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806878
{'ambient': '1960.102', 'aut_centralizer_order': 140, 'aut_label': '28.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '14.d1.b1'], 'contains': ['56.c1.b1', '140.f1.b1', '196.b1.a1'], 'core': '196.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [473, -1, 9824, -1, 156, -1, 2585, -1], 'generators': [980, 284, 1176], 'label': '1960.102.28.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '28.f1.b1', 'projective_image': '980.15', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.f1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806879
{'ambient': '1960.102', 'aut_centralizer_order': 140, 'aut_label': '28.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '14.d1.c1'], 'contains': ['56.c1.c1', '140.f1.c1', '196.b1.a1'], 'core': '196.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [473, -1, 7957, -1, 156, -1, 2352, -1], 'generators': [980, 844, 1176], 'label': '1960.102.28.f1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '28.f1.c1', 'projective_image': '980.15', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.f1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806880
{'ambient': '1960.102', 'aut_centralizer_order': 140, 'aut_label': '28.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '14.d1.a1'], 'contains': ['56.c1.a1', '140.f1.d1', '196.b1.b1'], 'core': '196.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [473, -1, 8910, -1, 156, -1, 93, -1], 'generators': [994, 564, 1176], 'label': '1960.102.28.f1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '28.f1.d1', 'projective_image': '980.15', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.f1.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806881
{'ambient': '1960.102', 'aut_centralizer_order': 2, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '70.a1.a1', 'complements': ['980.b1.a1', '980.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '10.b1.b1', '14.c1.b1', '14.e1.b1'], 'core': '2.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7920, 8023, 1441, 8028, 7563, 1726, 8093, 2726], 'generators': [315, 14, 1176, 4, 280], 'label': '1960.102.2.b1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '14.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.b1', 'projective_image': '140.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.b1.b1', 'subgroup_fusion': None, 'weyl_group': '70.3'}
-
id: 107806882
{'ambient': '1960.102', 'aut_centralizer_order': 140, 'aut_label': '28.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '14.d1.b1'], 'contains': ['56.c1.b1', '140.f1.e1', '196.b1.b1'], 'core': '196.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [473, -1, 9313, -1, 156, -1, 558, -1], 'generators': [994, 284, 1176], 'label': '1960.102.28.f1.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '28.f1.e1', 'projective_image': '980.15', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.f1.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806883
{'ambient': '1960.102', 'aut_centralizer_order': 140, 'aut_label': '28.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '14.d1.c1'], 'contains': ['56.c1.c1', '140.f1.f1', '196.b1.b1'], 'core': '196.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [473, -1, 7745, -1, 156, -1, 325, -1], 'generators': [994, 844, 1176], 'label': '1960.102.28.f1.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '28.f1.f1', 'projective_image': '980.15', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.f1.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806884
{'ambient': '1960.102', 'aut_centralizer_order': 24, 'aut_label': '35.a1', 'aut_quo_index': None, 'aut_stab_index': 35, 'aut_weyl_group': '48.45', 'aut_weyl_index': 840, 'centralizer': '35.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['5.a1.a1', '7.b1.a1'], 'contains': ['70.a1.a1', '70.d1.a1', '70.d1.b1', '245.a1.a1'], 'core': '70.a1.a1', 'coset_action_label': None, 'count': 35, 'diagramx': [9851, -1, 1403, -1, 8191, -1, 8926, -1], 'generators': [7, 4, 14, 980], 'label': '1960.102.35.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '35.a1.a1', 'old_label': '35.a1.a1', 'projective_image': '70.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '35.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806885
{'ambient': '1960.102', 'aut_centralizer_order': 24, 'aut_label': '35.b1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '336.125', 'aut_weyl_index': 120, 'centralizer': '70.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['5.a1.a1', '7.a1.a1'], 'contains': ['70.b1.a1', '70.e1.a1', '70.e1.b1', '245.a1.a1'], 'core': '70.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [8662, -1, 561, -1, 8925, -1, 9362, -1], 'generators': [7, 14, 280, 980], 'label': '1960.102.35.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '7.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '35.b1.a1', 'projective_image': '490.8', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '35.b1.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
-
id: 107806886
{'ambient': '1960.102', 'aut_centralizer_order': 1120, 'aut_label': '40.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '36.14', 'aut_weyl_index': 1120, 'centralizer': '2.a1.a1', 'complements': ['49.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '20.a1.a1', '20.b1.a1', '20.b1.b1'], 'contains': ['280.a1.a1', '280.b1.a1', '280.c1.a1', '280.c1.b1', '280.c1.c1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3347, 5140, 5222, 1150, 3752, 3970, 3209, 6861], 'generators': [4, 280], 'label': '1960.102.40.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': ['8.a1.a1', '20.b1.a1', '20.b1.b1', '20.a1.a1'], 'normal_contains': ['280.a1.a1', '280.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.a1.a1', 'projective_image': '280.27', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.5', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 107806887
{'ambient': '1960.102', 'aut_centralizer_order': 36, 'aut_label': '49.a1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '160.207', 'aut_weyl_index': 252, 'centralizer': '70.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['7.a1.a1', '7.b1.a1'], 'contains': ['98.a1.a1', '98.b1.a1', '98.b1.b1', '245.a1.a1'], 'core': '98.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [7046, -1, 1915, -1, 6183, -1, 7292, -1], 'generators': [7, 14, 1176, 980], 'label': '1960.102.49.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '7.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '49.a1.a1', 'projective_image': '490.8', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '49.a1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
-
id: 107806888
{'ambient': '1960.102', 'aut_centralizer_order': 1680, 'aut_label': '56.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': ['35.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '28.a1.a1', '28.c1.a1', '28.c1.b1'], 'contains': ['280.a1.a1', '392.a1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2144, 2989, 6979, 8008, 2199, 6623, 2751, 7348], 'generators': [1176, 4], 'label': '1960.102.56.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '56.a1.a1', 'normal_contained_in': ['8.a1.a1', '28.c1.a1', '28.c1.b1', '28.a1.a1'], 'normal_contains': ['280.a1.a1', '392.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.a1.a1', 'projective_image': '280.27', 'quotient_action_image': '2.1', 'quotient_action_kernel': '28.4', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '56.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 107806889
{'ambient': '1960.102', 'aut_centralizer_order': 1680, 'aut_label': '56.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': ['35.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '28.b1.a1', '28.d1.a1', '28.d1.b1'], 'contains': ['280.b1.a1', '392.a1.a1'], 'core': '56.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1283, 8040, 5162, 5438, 2591, 3323, 2984, 6374], 'generators': [1176, 280], 'label': '1960.102.56.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '56.b1.a1', 'normal_contained_in': ['8.a1.a1', '28.d1.a1', '28.d1.b1', '28.b1.a1'], 'normal_contains': ['280.b1.a1', '392.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.b1.a1', 'projective_image': '1960.102', 'quotient_action_image': '2.1', 'quotient_action_kernel': '28.4', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '56.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 107806890
{'ambient': '1960.102', 'aut_centralizer_order': 280, 'aut_label': '56.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '28.e1.a1', '28.f1.a1', '28.f1.d1'], 'contains': ['280.c1.a1', '392.a1.a1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [149, -1, 9308, -1, 1416, -1, 1821, -1], 'generators': [1176, 564], 'label': '1960.102.56.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '56.c1.a1', 'projective_image': '1960.102', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806891
{'ambient': '1960.102', 'aut_centralizer_order': 280, 'aut_label': '56.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '28.e1.b1', '28.f1.b1', '28.f1.e1'], 'contains': ['280.c1.b1', '392.a1.a1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [149, -1, 9100, -1, 1416, -1, 2286, -1], 'generators': [1176, 284], 'label': '1960.102.56.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '56.c1.b1', 'projective_image': '1960.102', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806892
{'ambient': '1960.102', 'aut_centralizer_order': 280, 'aut_label': '4.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '144.178', 'aut_weyl_index': 280, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'contains': ['8.a1.a1', '20.a1.a1', '28.a1.a1', '28.b1.a1', '28.e1.a1', '28.e1.b1', '28.e1.c1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4741, 6748, 4977, 6026, 4963, 2388, 6100, 2314], 'generators': [14, 4, 280, 1176], 'label': '1960.102.4.a1.a1', 'mobius_quo': 1, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'normal_contains': ['8.a1.a1', '20.a1.a1', '28.a1.a1', '28.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '140.10', '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: 107806893
{'ambient': '1960.102', 'aut_centralizer_order': 280, 'aut_label': '56.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.9', 'aut_weyl_index': 1680, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '28.e1.c1', '28.f1.c1', '28.f1.f1'], 'contains': ['280.c1.c1', '392.a1.a1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [149, -1, 8047, -1, 1416, -1, 2054, -1], 'generators': [1176, 844], 'label': '1960.102.56.c1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '56.c1.c1', 'projective_image': '1960.102', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.c1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806894
{'ambient': '1960.102', 'aut_centralizer_order': 3360, 'aut_label': '70.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 3360, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['10.a1.a1', '14.a1.a1', '35.a1.a1'], 'contains': ['140.a1.a1', '140.c1.a1', '140.c1.b1', '490.a1.a1'], 'core': '70.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7213, 727, 3123, 5390, 5587, 8776, 5537, 4748], 'generators': [14, 4, 980], 'label': '1960.102.70.a1.a1', 'mobius_quo': -2, 'mobius_sub': -35, 'normal_closure': '70.a1.a1', 'normal_contained_in': ['10.a1.a1', '14.a1.a1'], 'normal_contains': ['140.c1.a1', '140.c1.b1', '140.a1.a1', '490.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '70.a1.a1', 'projective_image': '70.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '70.3', 'quotient_action_kernel_order': 70, 'quotient_fusion': None, 'short_label': '70.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806895
{'ambient': '1960.102', 'aut_centralizer_order': 3360, 'aut_label': '70.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 3360, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['10.a1.a1', '14.b1.a1', '35.b1.a1'], 'contains': ['140.b1.a1', '140.d1.a1', '140.d1.b1', '490.a1.a1'], 'core': '70.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5866, 5999, 2553, 2683, 6312, 3703, 6668, 2881], 'generators': [14, 280, 980], 'label': '1960.102.70.b1.a1', 'mobius_quo': -2, 'mobius_sub': -5, 'normal_closure': '70.b1.a1', 'normal_contained_in': ['10.a1.a1', '14.b1.a1'], 'normal_contains': ['140.d1.a1', '140.d1.b1', '140.b1.a1', '490.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '70.b1.a1', 'projective_image': '490.8', 'quotient_action_image': '2.1', 'quotient_action_kernel': '35.1', 'quotient_action_kernel_order': 35, 'quotient_fusion': None, 'short_label': '70.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 107806896
{'ambient': '1960.102', 'aut_centralizer_order': 560, 'aut_label': '70.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.5', 'aut_weyl_index': 3360, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.a1.a1', '14.d1.a1'], 'contains': ['140.e1.a1', '140.f1.a1', '140.f1.d1', '490.a1.a1'], 'core': '490.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3708, -1, 5884, -1, 3347, -1, 3814, -1], 'generators': [14, 564, 980], 'label': '1960.102.70.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '70.c1.a1', 'projective_image': '490.8', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806897
{'ambient': '1960.102', 'aut_centralizer_order': 560, 'aut_label': '70.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.5', 'aut_weyl_index': 3360, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.a1.a1', '14.d1.b1'], 'contains': ['140.e1.b1', '140.f1.b1', '140.f1.e1', '490.a1.a1'], 'core': '490.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3708, -1, 7895, -1, 3347, -1, 5106, -1], 'generators': [14, 284, 980], 'label': '1960.102.70.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '70.c1.b1', 'projective_image': '490.8', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806898
{'ambient': '1960.102', 'aut_centralizer_order': 560, 'aut_label': '70.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.5', 'aut_weyl_index': 3360, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.a1.a1', '14.d1.c1'], 'contains': ['140.e1.c1', '140.f1.c1', '140.f1.f1', '490.a1.a1'], 'core': '490.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3708, -1, 3962, -1, 3347, -1, 4675, -1], 'generators': [14, 844, 980], 'label': '1960.102.70.c1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '70.c1.c1', 'projective_image': '490.8', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70.c1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806899
{'ambient': '1960.102', 'aut_centralizer_order': 48, 'aut_label': '70.d1', 'aut_quo_index': None, 'aut_stab_index': 70, 'aut_weyl_group': '12.5', 'aut_weyl_index': 3360, 'centralizer': '35.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.b1.a1', '14.e1.a1', '35.a1.a1'], 'contains': ['140.a1.a1', '490.b1.a1'], 'core': '140.a1.a1', 'coset_action_label': None, 'count': 35, 'diagramx': [9420, -1, 1282, -1, 8614, -1, 8386, -1], 'generators': [7, 14, 4], 'label': '1960.102.70.d1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '35.a1.a1', 'old_label': '70.d1.a1', 'projective_image': '140.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806900
{'ambient': '1960.102', 'aut_centralizer_order': 48, 'aut_label': '70.d1', 'aut_quo_index': None, 'aut_stab_index': 70, 'aut_weyl_group': '12.5', 'aut_weyl_index': 3360, 'centralizer': '35.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.b1.b1', '14.e1.b1', '35.a1.a1'], 'contains': ['140.a1.a1', '490.b1.b1'], 'core': '140.a1.a1', 'coset_action_label': None, 'count': 35, 'diagramx': [9420, -1, 983, -1, 8614, -1, 9221, -1], 'generators': [315, 14, 4], 'label': '1960.102.70.d1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '35.a1.a1', 'old_label': '70.d1.b1', 'projective_image': '140.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806901
{'ambient': '1960.102', 'aut_centralizer_order': 48, 'aut_label': '70.e1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '84.7', 'aut_weyl_index': 480, 'centralizer': '70.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.b1.a1', '14.c1.a1', '35.b1.a1'], 'contains': ['140.b1.a1', '490.b1.a1'], 'core': '140.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [8569, -1, 770, -1, 9014, -1, 8624, -1], 'generators': [7, 280, 14], 'label': '1960.102.70.e1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '14.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '70.e1.a1', 'projective_image': '980.32', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70.e1.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
-
id: 107806902
{'ambient': '1960.102', 'aut_centralizer_order': 48, 'aut_label': '70.e1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '84.7', 'aut_weyl_index': 480, 'centralizer': '70.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.b1.b1', '14.c1.b1', '35.b1.a1'], 'contains': ['140.b1.a1', '490.b1.b1'], 'core': '140.b1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [8569, -1, 381, -1, 9014, -1, 9459, -1], 'generators': [315, 280, 14], 'label': '1960.102.70.e1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '14.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '70.e1.b1', 'projective_image': '980.32', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70.e1.b1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
-
id: 107806903
{'ambient': '1960.102', 'aut_centralizer_order': 140, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '144.178', 'aut_weyl_index': 280, 'centralizer': '2.a1.a1', 'complements': ['490.b1.a1', '490.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '20.b1.a1', '28.c1.a1', '28.d1.a1', '28.f1.a1', '28.f1.b1', '28.f1.c1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1957, 4273, 7791, 3449, 1220, 5696, 2701, 8356], 'generators': [980, 4, 280, 1176], 'label': '1960.102.4.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '20.b1.a1', '28.c1.a1', '28.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '140.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 107806904
{'ambient': '1960.102', 'aut_centralizer_order': 5040, 'aut_label': '98.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 5040, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['14.a1.a1', '14.b1.a1', '14.d1.a1', '14.d1.b1', '14.d1.c1', '49.a1.a1'], 'contains': ['196.a1.a1', '196.b1.a1', '196.b1.b1', '490.a1.a1'], 'core': '98.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4732, 4384, 6393, 8360, 4073, 7536, 4245, 3814], 'generators': [14, 1176, 980], 'label': '1960.102.98.a1.a1', 'mobius_quo': -2, 'mobius_sub': -7, 'normal_closure': '98.a1.a1', 'normal_contained_in': ['14.a1.a1', '14.b1.a1'], 'normal_contains': ['196.b1.a1', '196.b1.b1', '196.a1.a1', '490.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '98.a1.a1', 'projective_image': '490.8', 'quotient_action_image': '2.1', 'quotient_action_kernel': '49.2', 'quotient_action_kernel_order': 49, 'quotient_fusion': None, 'short_label': '98.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 107806905
{'ambient': '1960.102', 'aut_centralizer_order': 72, 'aut_label': '98.b1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '40.12', 'aut_weyl_index': 1008, 'centralizer': '70.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['14.c1.a1', '14.e1.a1', '49.a1.a1'], 'contains': ['196.a1.a1', '490.b1.a1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [8129, -1, 2043, -1, 7607, -1, 7905, -1], 'generators': [7, 1176, 14], 'label': '1960.102.98.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '14.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '98.b1.a1', 'projective_image': '980.32', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '98.b1.a1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
-
id: 107806906
{'ambient': '1960.102', 'aut_centralizer_order': 72, 'aut_label': '98.b1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '40.12', 'aut_weyl_index': 1008, 'centralizer': '70.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['14.c1.b1', '14.e1.b1', '49.a1.a1'], 'contains': ['196.a1.a1', '490.b1.b1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [8129, -1, 1529, -1, 7607, -1, 8148, -1], 'generators': [315, 1176, 14], 'label': '1960.102.98.b1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '14.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '98.b1.b1', 'projective_image': '980.32', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '98.b1.b1', 'subgroup_fusion': None, 'weyl_group': '10.1'}
-
id: 107806907
{'ambient': '1960.102', 'aut_centralizer_order': 6720, 'aut_label': '140.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 6720, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['20.a1.a1', '28.a1.a1', '70.a1.a1', '70.d1.a1', '70.d1.b1'], 'contains': ['280.a1.a1', '980.a1.a1'], 'core': '140.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6732, 1798, 2669, 5916, 5538, 5954, 7001, 3889], 'generators': [14, 4], 'label': '1960.102.140.a1.a1', 'mobius_quo': 1, 'mobius_sub': 70, 'normal_closure': '140.a1.a1', 'normal_contained_in': ['20.a1.a1', '28.a1.a1', '70.a1.a1'], 'normal_contains': ['280.a1.a1', '980.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '140.a1.a1', 'projective_image': '140.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '140.10', 'quotient_action_kernel_order': 140, 'quotient_fusion': None, 'short_label': '140.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806908
{'ambient': '1960.102', 'aut_centralizer_order': 6720, 'aut_label': '140.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 6720, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['20.a1.a1', '28.b1.a1', '70.b1.a1', '70.e1.a1', '70.e1.b1'], 'contains': ['280.b1.a1', '980.a1.a1'], 'core': '140.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6296, 7937, 2224, 4243, 6121, 2654, 7234, 2881], 'generators': [14, 280], 'label': '1960.102.140.b1.a1', 'mobius_quo': 1, 'mobius_sub': 10, 'normal_closure': '140.b1.a1', 'normal_contained_in': ['20.a1.a1', '28.b1.a1', '70.b1.a1'], 'normal_contains': ['280.b1.a1', '980.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '140.b1.a1', 'projective_image': '980.32', 'quotient_action_image': '2.1', 'quotient_action_kernel': '70.4', 'quotient_action_kernel_order': 70, 'quotient_fusion': None, 'short_label': '140.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 107806909
{'ambient': '1960.102', 'aut_centralizer_order': 3360, 'aut_label': '140.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '6.2', 'aut_weyl_index': 6720, 'centralizer': '1.a1.a1', 'complements': ['14.c1.a1', '14.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['20.b1.a1', '28.c1.a1', '70.a1.a1'], 'contains': ['280.a1.a1', '980.b1.a1'], 'core': '140.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3440, 727, 5974, 3636, 2982, 8586, 4364, 8860], 'generators': [980, 4], 'label': '1960.102.140.c1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '140.c1.a1', 'normal_contained_in': ['20.b1.a1', '28.c1.a1', '70.a1.a1'], 'normal_contains': ['280.a1.a1', '980.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '140.c1.a1', 'projective_image': '140.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '140.3', 'quotient_action_kernel_order': 140, 'quotient_fusion': None, 'short_label': '140.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806910
{'ambient': '1960.102', 'aut_centralizer_order': 3360, 'aut_label': '140.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '6.2', 'aut_weyl_index': 6720, 'centralizer': '1.a1.a1', 'complements': ['14.c1.a1', '14.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['20.b1.b1', '28.c1.b1', '70.a1.a1'], 'contains': ['280.a1.a1', '980.b1.b1'], 'core': '140.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3440, 727, 3934, 4852, 2982, 8586, 1588, 5871], 'generators': [994, 4], 'label': '1960.102.140.c1.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '140.c1.b1', 'normal_contained_in': ['20.b1.b1', '28.c1.b1', '70.a1.a1'], 'normal_contains': ['280.a1.a1', '980.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '140.c1.b1', 'projective_image': '140.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '140.3', 'quotient_action_kernel_order': 140, 'quotient_fusion': None, 'short_label': '140.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806911
{'ambient': '1960.102', 'aut_centralizer_order': 3360, 'aut_label': '140.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '6.2', 'aut_weyl_index': 6720, 'centralizer': '2.a1.a1', 'complements': ['14.e1.a1', '14.e1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['20.b1.a1', '28.d1.a1', '70.b1.a1'], 'contains': ['280.b1.a1', '980.b1.a1'], 'core': '140.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2200, 6586, 5253, 1454, 3374, 4616, 4596, 7852], 'generators': [980, 280], 'label': '1960.102.140.d1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '140.d1.a1', 'normal_contained_in': ['20.b1.a1', '28.d1.a1', '70.b1.a1'], 'normal_contains': ['280.b1.a1', '980.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '140.d1.a1', 'projective_image': '980.15', 'quotient_action_image': '2.1', 'quotient_action_kernel': '70.4', 'quotient_action_kernel_order': 70, 'quotient_fusion': None, 'short_label': '140.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 107806912
{'ambient': '1960.102', 'aut_centralizer_order': 3360, 'aut_label': '140.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '6.2', 'aut_weyl_index': 6720, 'centralizer': '2.a1.a1', 'complements': ['14.e1.a1', '14.e1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['20.b1.b1', '28.d1.b1', '70.b1.a1'], 'contains': ['280.b1.a1', '980.b1.b1'], 'core': '140.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2200, 6586, 3362, 2324, 3374, 4616, 2519, 4863], 'generators': [994, 280], 'label': '1960.102.140.d1.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '140.d1.b1', 'normal_contained_in': ['20.b1.b1', '28.d1.b1', '70.b1.a1'], 'normal_contains': ['280.b1.a1', '980.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '140.d1.b1', 'projective_image': '980.15', 'quotient_action_image': '2.1', 'quotient_action_kernel': '70.4', 'quotient_action_kernel_order': 70, 'quotient_fusion': None, 'short_label': '140.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 107806913
{'ambient': '1960.102', 'aut_centralizer_order': 1120, 'aut_label': '140.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.2', 'aut_weyl_index': 6720, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.a1.a1', '28.e1.a1', '70.c1.a1'], 'contains': ['280.c1.a1', '980.a1.a1'], 'core': '980.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4045, -1, 6182, -1, 4131, -1, 5870, -1], 'generators': [14, 564], 'label': '1960.102.140.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '140.e1.a1', 'projective_image': '980.32', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140.e1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806914
{'ambient': '1960.102', 'aut_centralizer_order': 140, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '144.178', 'aut_weyl_index': 280, 'centralizer': '2.a1.a1', 'complements': ['490.b1.a1', '490.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '20.b1.b1', '28.c1.b1', '28.d1.b1', '28.f1.d1', '28.f1.e1', '28.f1.f1'], 'core': '4.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1957, 4273, 6344, 4631, 1220, 5696, 907, 6191], 'generators': [994, 4, 280, 1176], 'label': '1960.102.4.b1.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '20.b1.b1', '28.c1.b1', '28.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.b1', 'projective_image': '140.3', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 107806915
{'ambient': '1960.102', 'aut_centralizer_order': 1120, 'aut_label': '140.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.2', 'aut_weyl_index': 6720, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.a1.a1', '28.e1.b1', '70.c1.b1'], 'contains': ['280.c1.b1', '980.a1.a1'], 'core': '980.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4045, -1, 7259, -1, 4131, -1, 6335, -1], 'generators': [14, 284], 'label': '1960.102.140.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '140.e1.b1', 'projective_image': '980.32', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140.e1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806916
{'ambient': '1960.102', 'aut_centralizer_order': 1120, 'aut_label': '140.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.2', 'aut_weyl_index': 6720, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.a1.a1', '28.e1.c1', '70.c1.c1'], 'contains': ['280.c1.c1', '980.a1.a1'], 'core': '980.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4045, -1, 3725, -1, 4131, -1, 6103, -1], 'generators': [14, 844], 'label': '1960.102.140.e1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '140.e1.c1', 'projective_image': '980.32', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140.e1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806917
{'ambient': '1960.102', 'aut_centralizer_order': 560, 'aut_label': '140.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '6.2', 'aut_weyl_index': 6720, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.b1.a1', '28.f1.a1', '70.c1.a1'], 'contains': ['280.c1.a1', '980.b1.a1'], 'core': '980.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1501, -1, 8037, -1, 1807, -1, 3666, -1], 'generators': [980, 564], 'label': '1960.102.140.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '140.f1.a1', 'projective_image': '980.15', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806918
{'ambient': '1960.102', 'aut_centralizer_order': 560, 'aut_label': '140.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '6.2', 'aut_weyl_index': 6720, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.b1.a1', '28.f1.b1', '70.c1.b1'], 'contains': ['280.c1.b1', '980.b1.a1'], 'core': '980.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1501, -1, 8855, -1, 1807, -1, 4131, -1], 'generators': [980, 284], 'label': '1960.102.140.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '140.f1.b1', 'projective_image': '980.15', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140.f1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806919
{'ambient': '1960.102', 'aut_centralizer_order': 560, 'aut_label': '140.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '6.2', 'aut_weyl_index': 6720, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.b1.a1', '28.f1.c1', '70.c1.c1'], 'contains': ['280.c1.c1', '980.b1.a1'], 'core': '980.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1501, -1, 6571, -1, 1807, -1, 3898, -1], 'generators': [980, 844], 'label': '1960.102.140.f1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '140.f1.c1', 'projective_image': '980.15', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140.f1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806920
{'ambient': '1960.102', 'aut_centralizer_order': 560, 'aut_label': '140.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '6.2', 'aut_weyl_index': 6720, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.b1.b1', '28.f1.d1', '70.c1.a1'], 'contains': ['280.c1.a1', '980.b1.b1'], 'core': '980.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1501, -1, 6779, -1, 1807, -1, 891, -1], 'generators': [994, 564], 'label': '1960.102.140.f1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '140.f1.d1', 'projective_image': '980.15', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140.f1.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806921
{'ambient': '1960.102', 'aut_centralizer_order': 560, 'aut_label': '140.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '6.2', 'aut_weyl_index': 6720, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.b1.b1', '28.f1.e1', '70.c1.b1'], 'contains': ['280.c1.b1', '980.b1.b1'], 'core': '980.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1501, -1, 7828, -1, 1807, -1, 1356, -1], 'generators': [994, 284], 'label': '1960.102.140.f1.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '140.f1.e1', 'projective_image': '980.15', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140.f1.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806922
{'ambient': '1960.102', 'aut_centralizer_order': 560, 'aut_label': '140.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '6.2', 'aut_weyl_index': 6720, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.b1.b1', '28.f1.f1', '70.c1.c1'], 'contains': ['280.c1.c1', '980.b1.b1'], 'core': '980.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1501, -1, 4322, -1, 1807, -1, 1123, -1], 'generators': [994, 844], 'label': '1960.102.140.f1.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '140.f1.f1', 'projective_image': '980.15', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140.f1.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806923
{'ambient': '1960.102', 'aut_centralizer_order': 10080, 'aut_label': '196.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 10080, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['28.a1.a1', '28.b1.a1', '28.e1.a1', '28.e1.b1', '28.e1.c1', '98.a1.a1', '98.b1.a1', '98.b1.b1'], 'contains': ['392.a1.a1', '980.a1.a1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5542, 5192, 4503, 9444, 4634, 5285, 6568, 3385], 'generators': [14, 1176], 'label': '1960.102.196.a1.a1', 'mobius_quo': 1, 'mobius_sub': 14, 'normal_closure': '196.a1.a1', 'normal_contained_in': ['28.a1.a1', '28.b1.a1', '98.a1.a1'], 'normal_contains': ['392.a1.a1', '980.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '196.a1.a1', 'projective_image': '980.32', 'quotient_action_image': '2.1', 'quotient_action_kernel': '98.5', 'quotient_action_kernel_order': 98, 'quotient_fusion': None, 'short_label': '196.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 107806924
{'ambient': '1960.102', 'aut_centralizer_order': 5040, 'aut_label': '196.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.1', 'aut_weyl_index': 10080, 'centralizer': '2.a1.a1', 'complements': ['10.b1.a1', '10.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['28.c1.a1', '28.d1.a1', '28.f1.a1', '28.f1.b1', '28.f1.c1', '98.a1.a1'], 'contains': ['392.a1.a1', '980.b1.a1'], 'core': '196.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [763, 4442, 9199, 6786, 984, 7916, 3433, 8356], 'generators': [980, 1176], 'label': '1960.102.196.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '196.b1.a1', 'normal_contained_in': ['28.c1.a1', '28.d1.a1', '98.a1.a1'], 'normal_contains': ['392.a1.a1', '980.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '196.b1.a1', 'projective_image': '980.15', 'quotient_action_image': '2.1', 'quotient_action_kernel': '98.5', 'quotient_action_kernel_order': 98, 'quotient_fusion': None, 'short_label': '196.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 107806925
{'ambient': '1960.102', 'aut_centralizer_order': 4, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '2016.m', 'aut_weyl_index': 20, 'centralizer': '70.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['10.a1.a1', '10.b1.a1', '10.b1.b1', '35.a1.a1', '35.b1.a1'], 'core': '10.a1.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [9536, -1, 504, -1, 8427, -1, 8775, -1], 'generators': [7, 4, 14, 980, 280], 'label': '1960.102.5.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1.a1', 'old_label': '5.a1.a1', 'projective_image': '70.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5.a1.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
-
id: 107806926
{'ambient': '1960.102', 'aut_centralizer_order': 5040, 'aut_label': '196.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.1', 'aut_weyl_index': 10080, 'centralizer': '2.a1.a1', 'complements': ['10.b1.a1', '10.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['28.c1.b1', '28.d1.b1', '28.f1.d1', '28.f1.e1', '28.f1.f1', '98.a1.a1'], 'contains': ['392.a1.a1', '980.b1.b1'], 'core': '196.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [763, 4442, 8315, 8360, 984, 7916, 658, 5367], 'generators': [994, 1176], 'label': '1960.102.196.b1.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '196.b1.b1', 'normal_contained_in': ['28.c1.b1', '28.d1.b1', '98.a1.a1'], 'normal_contains': ['392.a1.a1', '980.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '196.b1.b1', 'projective_image': '980.15', 'quotient_action_image': '2.1', 'quotient_action_kernel': '98.5', 'quotient_action_kernel_order': 98, 'quotient_fusion': None, 'short_label': '196.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 107806927
{'ambient': '1960.102', 'aut_centralizer_order': 144, 'aut_label': '245.a1', 'aut_quo_index': None, 'aut_stab_index': 35, 'aut_weyl_group': '8.3', 'aut_weyl_index': 5040, 'centralizer': '35.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['35.a1.a1', '35.b1.a1', '49.a1.a1'], 'contains': ['490.a1.a1', '490.b1.a1', '490.b1.b1'], 'core': '490.a1.a1', 'coset_action_label': None, 'count': 35, 'diagramx': [8939, -1, 1220, -1, 8115, -1, 8926, -1], 'generators': [7, 980], 'label': '1960.102.245.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '7.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '35.a1.a1', 'old_label': '245.a1.a1', 'projective_image': '490.8', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '245.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806928
{'ambient': '1960.102', 'aut_centralizer_order': 6720, 'aut_label': '280.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 6720, 'centralizer': '1.a1.a1', 'complements': ['7.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['40.a1.a1', '56.a1.a1', '140.a1.a1', '140.c1.a1', '140.c1.b1'], 'contains': ['1960.a1.a1'], 'core': '280.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3180, 2334, 5321, 4133, 3432, 6502, 3454, 6827], 'generators': [4], 'label': '1960.102.280.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '280.a1.a1', 'normal_contained_in': ['40.a1.a1', '56.a1.a1', '140.c1.a1', '140.c1.b1', '140.a1.a1'], 'normal_contains': ['1960.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '280.a1.a1', 'projective_image': '280.27', 'quotient_action_image': '1.1', 'quotient_action_kernel': '280.27', 'quotient_action_kernel_order': 280, 'quotient_fusion': None, 'short_label': '280.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 107806929
{'ambient': '1960.102', 'aut_centralizer_order': 6720, 'aut_label': '280.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 6720, 'centralizer': '2.a1.a1', 'complements': ['7.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['40.a1.a1', '56.b1.a1', '140.b1.a1', '140.d1.a1', '140.d1.b1'], 'contains': ['1960.a1.a1'], 'core': '280.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2792, 7487, 4586, 2082, 3752, 3970, 3645, 5979], 'generators': [280], 'label': '1960.102.280.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '280.b1.a1', 'normal_contained_in': ['40.a1.a1', '56.b1.a1', '140.d1.a1', '140.d1.b1', '140.b1.a1'], 'normal_contains': ['1960.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '280.b1.a1', 'projective_image': '1960.102', 'quotient_action_image': '2.1', 'quotient_action_kernel': '140.11', 'quotient_action_kernel_order': 140, 'quotient_fusion': None, 'short_label': '280.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 107806930
{'ambient': '1960.102', 'aut_centralizer_order': 1120, 'aut_label': '280.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.2', 'aut_weyl_index': 6720, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.a1.a1', '56.c1.a1', '140.e1.a1', '140.f1.a1', '140.f1.d1'], 'contains': ['1960.a1.a1'], 'core': '1960.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2144, -1, 7022, -1, 3112, -1, 2884, -1], 'generators': [564], 'label': '1960.102.280.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '280.c1.a1', 'projective_image': '1960.102', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '280.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 107806931
{'ambient': '1960.102', 'aut_centralizer_order': 1120, 'aut_label': '280.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.2', 'aut_weyl_index': 6720, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.a1.a1', '56.c1.b1', '140.e1.b1', '140.f1.b1', '140.f1.e1'], 'contains': ['1960.a1.a1'], 'core': '1960.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2144, -1, 7753, -1, 3112, -1, 3264, -1], 'generators': [284], 'label': '1960.102.280.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '280.c1.b1', 'projective_image': '1960.102', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '280.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806932
{'ambient': '1960.102', 'aut_centralizer_order': 1120, 'aut_label': '280.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.2', 'aut_weyl_index': 6720, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.a1.a1', '56.c1.c1', '140.e1.c1', '140.f1.c1', '140.f1.f1'], 'contains': ['1960.a1.a1'], 'core': '1960.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2144, -1, 5737, -1, 3112, -1, 3074, -1], 'generators': [844], 'label': '1960.102.280.c1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '280.c1.c1', 'projective_image': '1960.102', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '280.c1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 107806933
{'ambient': '1960.102', 'aut_centralizer_order': 10080, 'aut_label': '392.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 10080, 'centralizer': '2.a1.a1', 'complements': ['5.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['56.a1.a1', '56.b1.a1', '56.c1.a1', '56.c1.b1', '56.c1.c1', '196.a1.a1', '196.b1.a1', '196.b1.b1'], 'contains': ['1960.a1.a1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [984, 4698, 9005, 8712, 2337, 5954, 2693, 6392], 'generators': [1176], 'label': '1960.102.392.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '392.a1.a1', 'normal_contained_in': ['56.a1.a1', '56.b1.a1', '196.b1.a1', '196.b1.b1', '196.a1.a1'], 'normal_contains': ['1960.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '392.a1.a1', 'projective_image': '1960.102', 'quotient_action_image': '2.1', 'quotient_action_kernel': '196.12', 'quotient_action_kernel_order': 196, 'quotient_fusion': None, 'short_label': '392.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 107806934
{'ambient': '1960.102', 'aut_centralizer_order': 20160, 'aut_label': '490.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 20160, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['70.a1.a1', '70.b1.a1', '70.c1.a1', '70.c1.b1', '70.c1.c1', '98.a1.a1', '245.a1.a1'], 'contains': ['980.a1.a1', '980.b1.a1', '980.b1.b1'], 'core': '490.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5716, 3712, 4750, 5190, 5110, 7270, 4964, 4376], 'generators': [14, 980], 'label': '1960.102.490.a1.a1', 'mobius_quo': 2, 'mobius_sub': 35, 'normal_closure': '490.a1.a1', 'normal_contained_in': ['70.a1.a1', '70.b1.a1', '98.a1.a1'], 'normal_contains': ['980.b1.a1', '980.b1.b1', '980.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '490.a1.a1', 'projective_image': '490.8', 'quotient_action_image': '1.1', 'quotient_action_kernel': '490.8', 'quotient_action_kernel_order': 490, 'quotient_fusion': None, 'short_label': '490.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806935
{'ambient': '1960.102', 'aut_centralizer_order': 288, 'aut_label': '490.b1', 'aut_quo_index': None, 'aut_stab_index': 70, 'aut_weyl_group': '2.1', 'aut_weyl_index': 20160, 'centralizer': '35.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['70.d1.a1', '70.e1.a1', '98.b1.a1', '245.a1.a1'], 'contains': ['980.a1.a1'], 'core': '980.a1.a1', 'coset_action_label': None, 'count': 35, 'diagramx': [8569, -1, 1220, -1, 8115, -1, 8386, -1], 'generators': [7], 'label': '1960.102.490.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '14.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '35.a1.a1', 'old_label': '490.b1.a1', 'projective_image': '980.32', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '490.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806936
{'ambient': '1960.102', 'aut_centralizer_order': 6, 'aut_label': '7.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '70.a1.a1', 'complements': ['280.a1.a1', '280.c1.b1', '280.c1.a1', '280.c1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['14.b1.a1', '14.c1.a1', '14.c1.b1', '35.b1.a1', '49.a1.a1'], 'core': '7.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7264, 9383, 1925, 7525, 6699, 3201, 7580, 1615], 'generators': [7, 14, 1176, 980, 280], 'label': '1960.102.7.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '7.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['14.b1.a1', '14.c1.a1', '14.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '7.a1.a1', 'projective_image': '490.8', 'quotient_action_image': '1.1', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '7.a1.a1', 'subgroup_fusion': None, 'weyl_group': '70.3'}
-
id: 107806937
{'ambient': '1960.102', 'aut_centralizer_order': 288, 'aut_label': '490.b1', 'aut_quo_index': None, 'aut_stab_index': 70, 'aut_weyl_group': '2.1', 'aut_weyl_index': 20160, 'centralizer': '35.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['70.d1.b1', '70.e1.b1', '98.b1.b1', '245.a1.a1'], 'contains': ['980.a1.a1'], 'core': '980.a1.a1', 'coset_action_label': None, 'count': 35, 'diagramx': [8569, -1, 924, -1, 8115, -1, 8926, -1], 'generators': [315], 'label': '1960.102.490.b1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '14.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '35.a1.a1', 'old_label': '490.b1.b1', 'projective_image': '980.32', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '490.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806938
{'ambient': '1960.102', 'aut_centralizer_order': 40320, 'aut_label': '980.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 40320, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['140.a1.a1', '140.b1.a1', '140.e1.a1', '140.e1.b1', '140.e1.c1', '196.a1.a1', '490.a1.a1', '490.b1.a1', '490.b1.b1'], 'contains': ['1960.a1.a1'], 'core': '980.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5972, 4690, 3414, 5867, 5110, 5407, 6452, 3889], 'generators': [14], 'label': '1960.102.980.a1.a1', 'mobius_quo': -1, 'mobius_sub': -70, 'normal_closure': '980.a1.a1', 'normal_contained_in': ['140.a1.a1', '140.b1.a1', '196.a1.a1', '490.a1.a1'], 'normal_contains': ['1960.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '980.a1.a1', 'projective_image': '980.32', 'quotient_action_image': '1.1', 'quotient_action_kernel': '980.32', 'quotient_action_kernel_order': 980, 'quotient_fusion': None, 'short_label': '980.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806939
{'ambient': '1960.102', 'aut_centralizer_order': 20160, 'aut_label': '980.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 40320, 'centralizer': '1.a1.a1', 'complements': ['2.b1.a1', '2.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['140.c1.a1', '140.d1.a1', '140.f1.a1', '140.f1.b1', '140.f1.c1', '196.b1.a1', '490.a1.a1'], 'contains': ['1960.a1.a1'], 'core': '980.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2183, 3712, 6707, 4396, 2791, 7270, 4015, 7852], 'generators': [980], 'label': '1960.102.980.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '980.b1.a1', 'normal_contained_in': ['140.c1.a1', '140.d1.a1', '196.b1.a1', '490.a1.a1'], 'normal_contains': ['1960.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '980.b1.a1', 'projective_image': '980.15', 'quotient_action_image': '1.1', 'quotient_action_kernel': '980.15', 'quotient_action_kernel_order': 980, 'quotient_fusion': None, 'short_label': '980.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806940
{'ambient': '1960.102', 'aut_centralizer_order': 20160, 'aut_label': '980.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 40320, 'centralizer': '1.a1.a1', 'complements': ['2.b1.a1', '2.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['140.c1.b1', '140.d1.b1', '140.f1.d1', '140.f1.e1', '140.f1.f1', '196.b1.b1', '490.a1.a1'], 'contains': ['1960.a1.a1'], 'core': '980.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2183, 3712, 5373, 4893, 2791, 7270, 1472, 5367], 'generators': [994], 'label': '1960.102.980.b1.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '980.b1.b1', 'normal_contained_in': ['140.c1.b1', '140.d1.b1', '196.b1.b1', '490.a1.a1'], 'normal_contains': ['1960.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '980.b1.b1', 'projective_image': '980.15', 'quotient_action_image': '1.1', 'quotient_action_kernel': '980.15', 'quotient_action_kernel_order': 980, 'quotient_fusion': None, 'short_label': '980.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 107806941
{'ambient': '1960.102', 'aut_centralizer_order': None, 'aut_label': '1960.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': ['280.a1.a1', '280.b1.a1', '280.c1.a1', '280.c1.b1', '280.c1.c1', '392.a1.a1', '980.a1.a1', '980.b1.a1', '980.b1.b1'], 'contains': [], 'core': '1960.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2857, 4222, 6481, 4644, 3272, 5954, 3264, 6186], 'generators': [], 'label': '1960.102.1960.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1960.a1.a1', 'normal_contained_in': ['280.a1.a1', '280.b1.a1', '392.a1.a1', '980.b1.a1', '980.b1.b1', '980.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '1960.a1.a1', 'projective_image': '1960.102', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1960.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}